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Beam under bending: with held ends: left end fixed: right end fixed: temperature gradient: across depth: linearly varying

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on left post

Thin-walled cylindrical shell: Fixed-free: applied moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: vertical: on girder

Small deflections of rectangular plates: on elastic foundation: free: concentrated load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: point load: on left post

Thin-walled cylindrical shell: Fixed-fixed: linearly varying radial pressure

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: point load: on left post

Beam under bending: with held ends: left end supported: right end supported: applied angular displacement

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: combined loads

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on left post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on girder

Thin-walled cylindrical shell: Fixed-guided: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Supported-free: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on right post

Thin-walled cylindrical shell: Supported-fixed: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on girder right half

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: center load + uniform load

Supported-fixed beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: combined loads

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Disc springs: stack in series and in parallel: with or without bearing flats

Spheres in contact with a spherical socket under load: Hertz's theory

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top guided

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top guided

Junction between the large end of a cone and a cylinder: without a knuckle: cone and cylinder with constant thicknesses: under internal pressure

Beam under simple bending: large deflections: left end fixed: right end fixed: concentrated load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end guided: distributed load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: vertical: on girder right half

Large deflections of rectangular plates: 4 supported & held sides: uniform load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: fixed edge: distributed + uniform load

Beam under simple bending: large deflections: left end supported: right end guided: distributed load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on girder

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base supported: top supported

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base supported: top supported

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on left post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform temperature change

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform pressure: on girder left half

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: point load: on post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported: distributed + uniform load

Thin-walled cylindrical shell: Supported-guided: radial load

Thin-walled cylindrical shell: Fixed-supported: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on girder

Thin-walled cylindrical shell: Free-guided: radial load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on right post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform load: on post

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top supported

Junction between the large end of a cone and a cylinder: with knuckle: cone and cylinder with constant thicknesses: under internal pressure

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: vertical: on girder

Beam under bending: with held ends: left end fixed: right end guided: temperature gradient: across depth: linearly varying

Beam under bending: with held ends: left end supported: right end guided: concentrated load

Circular flanges with hub: integral with hub slope 1/3 max: WN or LWN type: to internal pressure: gasket laying inside inner edge of bolt holes

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end guided: uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform temperature change

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: vertical: on girder

Beam under bending: with held ends: left end fixed: right end free: uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on right post

Solid circular flat plate with uniform thickness: pure membrane behaviour: simply supported: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on left post

Beam under bending: with held ends: left end fixed: right end free: concentrated load

Flat face flanges with metal-to-metal contact outside the bolt circle: analysis of an identical (Class 1) flange pair: same material: integral (Cat.1) flanges: hub of constant thickness: with spacer: self-sealing gasket with negligible loads

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on girder

Beam: simple bending: with held ends: left end supported: right end supported: uniform load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: uniform annular line load

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: supported edge: center load + uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on left post

Thin-walled cylindrical shell: Free-guided: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform pressure: on girder right half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: point load: on right post

Thin-walled cylindrical shell: Free-fixed: radial load

Disc springs: stack in series: with or without bearing flats

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on left post

Thin-walled cylindrical shell: Supported-free: uniform radial pressure: from 'a' to B

Beam under bending: with held ends: left end fixed: right end supported: applied angular displacement

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on left post

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top fixed

Small deflections of rectangular plates: on elastic foundation: free: distributed load: over a partial rectangular area

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: point load: on girder

Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: uniform distributed load

Thin-walled cylindrical shell: Guided-free: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Supported-fixed: linearly varying radial pressure

Disc springs: stack in parallel: with or without bearing flats

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end fixed: concentrated moment

Fixed-fixed beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Supported-fixed beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Thin-walled cylindrical shell: Fixed-fixed: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: vertical: on girder

Beam under simple bending: large deflections: left end fixed: right end guided: concentrated load

Thin-walled cylindrical shell: Fixed-free: linearly varying radial pressure

Free-free beam: on elastic foundation: concentrated moment

Semiinfinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

W.R.C. Bulletin 297-Aug.84,Supplement to WRC Bulletin No. 107: Local Stresses in Cylindrical Shells Due to External Loadings on a Radial Flush Nozzle: Pressure stresses per BS5500 G.2.3.5.2(a): (radial load should not include pressure end load)

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform load: on girder

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: uniform load

Thin-walled cylindrical shell: Supported-fixed: applied moment

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load: over a partial rectangular area

Solid circular flat plate with uniform thickness: pure membrane behaviour: supported & held: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: combined loads

Thin-walled cylindrical shell: Fixed-fixed: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: vertical: on girder left half

Beam under simple bending: large deflections: left end supported: right end guided: concentrated load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: center load + uniform load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base supported: top supported

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top free

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on right post

Sphere in contact with a flat plate under load: Hertz's theory

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on girder left half

Beam under bending: with held ends: left end fixed: right end free: concentrated moment

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: fixed edge: center load + uniform load

Guided-infinite beam: on elastic foundation: concentrated moment

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on girder

Thin-walled cylindrical shell: Free-free: applied moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform temperature change

Beam under bending: with held ends: left end fixed: right end fixed: applied angular displacement

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end supported: uniform load

Circular flat flanges without hubs: loose, welded: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: combined loads

Thin-walled cylindrical shell: Fixed-fixed: radial load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: distributed load

Beam under bending: with held ends: left end supported: right end guided: concentrated moment

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: annular line load + uniform load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported: distributed load

Full face flanges with soft ring type gaskets: external pressure

Beam under simple bending: large deflections: left end fixed: right end fixed: distributed load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: vertical: on girder

Fixed-fixed beam: on elastic foundation: point load

Beam under bending: with held ends: left end supported: right end supported: temperature gradient: across depth: linearly varying

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on left post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on left post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: point load: on left post

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: guided edge: annular line load + uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: point load: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on left post

Solid circular flat plate with uniform thickness: pure membrane behaviour: simply supported: uniform annular line load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Fixed-guided beam: on elastic foundation: concentrated moment

Fixed-infinite beam: on elastic foundation: point load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: annular line load + uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: vertical: on girder right half

Thin-walled cylindrical shell: Fixed-guided: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform pressure: on girder left half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Infinite beam: on elastic foundation: concentrated load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform pressure: on girder right half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: point load: on left post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on girder right half

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base fixed: top guided

Thin-walled cylindrical shell: Free-free: linearly varying radial pressure

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top guided

Beam under bending: with held ends: left end fixed: right end guided: applied angular displacement

Supported-free beam: on elastic foundation: concentrated load

Fixed-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform temperature change

Semi-infinite beam: on elastic foundation: concentrated moment

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: point load: on girder

Thin-walled cylindrical shell: Supported-guided: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Fixed-guided: applied moment

Thin-walled cylindrical shell: Guided-supported: linearly varying radial pressure

Beam under bending: with held ends: left end fixed: right end supported: temperature gradient: across depth: linearly varying

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on left post

Thin-walled cylindrical shell: Fixed-supported: applied moment

Minimum thickness of: ellipsoidal ends: under internal pressure

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: uniform load: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on left post

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Fixed-free beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on girder

Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes: split ring: along a diameter: with bolt spacing correction

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform pressure: on girder right half

Solid circular flat plate with uniform thickness: pure membrane behaviour: supported & held: uniform annular line load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder

Spheres in contact: with a grooved outer ring: under load: Hertz's theory

Allowable external pressure: of cylindrical shells: circularity within tolerance

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: center load

Two cylinders in contact under load: axes at right angles: Hertz's theory

Spheres in contact: with a grooved inner ring: under load: Hertz's theory

Beam under bending: with held ends: left end supported: right end guided: uniform load

Thin-walled cylindrical shell: Supported-supported: radial load

Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: uniform annular line load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes: split ring: along a diameter

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform temperature change

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base fixed: top free

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on left post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top fixed

Rectangular membranes: 3 held sides, 1 free: uniform load

Thin-walled cylindrical shell: Supported-fixed: uniform radial pressure: from 'a' to 'b'

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: supported edge: annular line load + uniform load

Guided-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on left post

Large deflections of rectangular plates: 4 simply supported sides: distributed load linearly varying along side a

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on girder left half

Large deflections of rectangular plates: 4 clamped & held sides: distributed load linearly varying along side a

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load linearly varying along side a: starting at x0

Beam under bending: with held ends: left end fixed: right end supported: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on right post

W.R.C. Bulletin 297-Aug.84,Supplement to WRC Bulletin No. 107: Local Stresses in Cylindrical Shells Due to External Loadings on a Radial Flush Nozzle: Loads specified at nozzle/wall intersection

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: point load: on post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: point load: on post

Circular expansion joints: single: unreinforced bellows: without collar: to internal pressure: zero corrosion allowance: cyclic movement due to thermal expansion

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Beam under simple bending: large deflections: left end fixed: right end supported: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on left post

Supported-free beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on left post

Disc springs: single: with or without bearing flats

Thin-walled cylindrical shell: Supported-free: linearly varying radial pressure

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: uniform annular line load

Thin-walled cylindrical shell: Fixed-guided: linearly varying radial pressure

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed: distributed + uniform load

Beam under bending: with held ends: left end supported: right end guided: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on right post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on right post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: point load: on post

Thin-walled cylindrical shell: Supported-free: applied moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half

Spheres in contact with a cylindrical socket under load: Hertz's theory

Thin-walled cylindrical shell: Guided-guided: linearly varying radial pressure

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load linearly varying along side a

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on right post

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on girder

Guided-guided beam: on elastic foundation: concentrated load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on girder

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: fixed edge: annular line load + uniform load

Large deflections of rectangular plates: 4 supported & held sides: distributed load linearly varying along side a

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end fixed: applied vertical displacement

Guided-infinite beam: on elastic foundation: point load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform temperature change

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: vertical: on girder

Thin-walled cylindrical shell: Fixed-supported: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on girder left half

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: annular line load + uniform load

Large deflections of rectangular plates: 4 simply supported sides: distributed load linearly varying along side a: starting at x0

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads

Beam under bending: with held ends: left end fixed: right end supported: concentrated load

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top free

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: clamped edge: center load

Thin-walled cylindrical shell: Guided-guided: applied moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: vertical: on girder left half

Fixed-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Minimum thickness of: torispherical ends: under internal pressure

Beam under bending: with held ends: left end fixed: right end supported: concentrated moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads

Beam under bending: with held ends: left end fixed: right end free: distributed load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on left post

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped edge: uniform annular line load

Beam under bending: with held ends: left end supported: right end supported: concentrated moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: point load: on right post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: center load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: center load + uniform load

Thin-walled cylindrical shell: Guided-supported: applied moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: vertical: on girder left half

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top supported

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on girder right half

Large deflections of rectangular plates: 4 supported & fully held sides: uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on girder right half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: point load: on girder

Flat face flanges with metal-to-metal contact outside the bolt circle: analysis of a flange cover assembly (Class 3): integral (Cat.1) flange: hub of constant thickness: no spacer: self-sealing gasket with negligible loads

Semiinfinite beam: on elastic foundation: point load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: point load: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on right post

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: center load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: point load: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: point load: on right post

Supported-infinite beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: supported edge: distributed + uniform load

Thin-walled cylindrical shell: Guided-fixed: applied moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on girder

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on girder

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top fixed

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: vertical: on girder left half

Infinite beam: on elastic foundation: distributed load: linearly varying over 'a'

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: center load + uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder left half

Beam under simple bending: large deflections: left end fixed: right end guided: distributed load

Design rules for clamp connections: clamping faces parallel

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: combined loads

Thin-walled cylindrical shell: Fixed-free: radial load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: point load: on girder

Thickness of shells and tubes: under external pressure

Fixed-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on right post

Beam: simple bending: with held ends: left end supported: right end supported: distributed load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: uniform load: on post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top guided

Thin-walled cylindrical shell: Guided-guided: radial load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on girder

Thin-walled cylindrical shell: Free-fixed: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: vertical: on girder right half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half

Thin-walled cylindrical shell: Guided-free: applied moment

Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes

Simply supported beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Two spheres in contact under load: Hertz's theory

Beam under simple bending: large deflections: left end supported: right end supported: uniform load

Large deflections of rectangular plates: 4 clamped & held sides: uniform load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed: distributed load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder

Fixed-guided beam: on elastic foundation: point load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on girder left half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: distributed + uniform load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base supported: top supported

Beam under simple bending: large deflections: left end fixed: right end free: distributed load

Large deflections of rectangular plates: 4 simply supported sides: uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform temperature change

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Full face flanges: with soft ring type gaskets: to internal pressure

Thin-walled cylindrical shell: Free-guided: applied moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder right half

Supported-guided beam: on elastic foundation: concentrated moment

Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: uniform distributed load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: uniform annular line load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: distributed partial load: linearly varying: on post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on left post

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform temperature change

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: combined loads

Cylinder in contact on a flat plate under load: Hertz's theory

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: vertical: on girder left half

Circular flanges with hub: integral with hub slope 1/3 max: WN or LWN type: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: vertical: on girder right half

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base supported: top supported

Thin-walled cylindrical shell: Guided-guided: uniform radial pressure: from 'a' to B

Rectangular membranes: 4 fully held sides: uniform load

Beam under simple bending: large deflections: left end supported: right end supported: concentrated load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top supported

Thin-walled cylindrical shell: Free-free: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Guided-fixed: linearly varying radial pressure

Beam under simple bending: large deflections: left end fixed: right end free: concentrated load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top free

Free-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform temperature change

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on left post

Supported-infinite beam: on elastic foundation: concentrated load

Thin-walled cylindrical shell: Guided-supported: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform pressure: on girder right half

Thin-walled cylindrical shell: Fixed-supported: linearly varying radial pressure

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder left half

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on right post

Minimum thickness of: spherical shells: spherical parts of shells: hemispherical ends: central zone of torispherical ends: spherical knuckles of cones to cylinders: under internal pressure: e/De<=0.16: Calculation based on outer radius

Beam under bending: with held ends: left end supported: right end guided: temperature gradient: across depth: linearly varying

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on right post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform pressure: on girder left half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads

Thin-walled cylindrical shell: Free-free: uniform radial pressure: from 'a' to B

Thin-walled cylindrical shell: Supported-guided: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: vertical: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on left post

Thin-walled cylindrical shell: Guided-fixed: radial load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on left post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on right post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: point load: on girder

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on post

Fixed-free beam: on elastic foundation: point load

Full faced flanges with soft ring type gaskets: non metallic gaskets not less than 1.5 mm thick

Flat face flanges with metal-to-metal contact outside the bolt circle: analysis of an identical (Class 1) flange pair: same material: integral (Cat.1) flanges: hub of constant thickness: no spacer: self-sealing gasket with negligible loads

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on right post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end fixed: uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform pressure: on girder left half

Infinite beam: on elastic foundation: concentrated moment

Thin-walled cylindrical shell: Free-supported: applied moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: vertical: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder

Thin-walled cylindrical shell: Free-fixed: uniform radial pressure: from 'a' to 'b'

Fixed-infinite beam: on elastic foundation: concentrated moment

Beam: simple bending: with held ends: left end supported: right end supported: uniform load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on right post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top free

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: point load: on post

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: uniform annular line load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform temperature change

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on girder

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: point load: on post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on girder left half

Thin-walled cylindrical shell: Guided-fixed: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: vertical: on girder left half

Cylinder in contact in a cylindrical socket under load: Hertz's theory

Simply supported beam: on elastic foundation: point load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: point load: on girder

Supported-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Minimum thickness of cylindrical shells under internal pressure: e/De<=0.16: Calculation based on inner diameter

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: uniform load

Rectangular membranes: 4 fully held sides: distributed load linearly varying along side a

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top free

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: vertical: on girder

Beam under simple bending: large deflections: left end fixed: right end supported: concentrated load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: distributed partial load: linearly varying: on girder

Circular flat flanges without hubs: loose, welded: to internal pressure: gasket laying inside inner edge of bolt holes

Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: distributed load

Minimum thickness of: spherical shells: spherical parts of shells: hemispherical ends: central zone of torispherical ends: spherical knuckles of cones to cylinders: under internal pressure: e/De<=0.16: Calculation based on inner radius

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: vertical: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Thin-walled cylindrical shell: Supported-fixed: radial load

Thin-walled cylindrical shell: Free-supported: linearly varying radial pressure

Simply supported beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: vertical: on girder left half

Thin-walled cylindrical shell: Free-supported: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Large deflections of rectangular plates: 4 supported & held sides: distributed load linearly varying along side a: starting at x0

Thin-walled cylindrical shell: Guided-free: uniform radial pressure: from 'a' to B

Thin-walled cylindrical shell: Free-fixed: applied moment

Large deflections of rectangular plates: 4 clamped & held sides: distributed load linearly varying along side a: starting at x0

Supported-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Thin-walled cylindrical shell: Guided-guided: uniform radial pressure: from 'a' to 'b'

Circular flanges with hub: hub with constant thickness: loose, welded: fig.2-4(3): to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction

Thin-walled cylindrical shell: Guided-supported: uniform radial pressure: from 'a' to 'b'

Design rules for clamp connections: clamping faces parallel: hub calculated as loose flange

Guided-guided beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform temperature change

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on girder left half

Thin-walled cylindrical shell: Supported-supported: linearly varying radial pressure

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on right post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: center load + uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on girder left half

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on left post

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: uniform distributed load

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top supported

Supported-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Beam under bending: with held ends: left end supported: right end guided: applied angular displacement

Guided-free beam: on elastic foundation: concentrated moment

Thin-walled cylindrical shell: Fixed-supported: radial load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on post

Thin-walled cylindrical shell: Guided-free: radial load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on right post

Beam under simple bending: large deflections: left end fixed: right end free: uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on girder left half

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: distributed + uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: combined loads

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on girder

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: guided edge: distributed + uniform load

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: annular line load + uniform load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on right post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform temperature change

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on girder

Beam under simple bending: large deflections: left end supported: right end supported: distributed load

Free-free beam: on elastic foundation: point load

Thin-walled cylindrical shell: Supported-supported: applied moment

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform temperature change

Thin-walled cylindrical shell: Fixed-free: uniform radial pressure: from 'a' to B

Thin-walled cylindrical shell: Supported-guided: applied moment

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top fixed

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Minimum thickness of cylindrical shells under internal pressure: e/De<=0.16: Calculation based on outer diameter

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on girder right half

Beam under bending: with held ends: left end supported: right end supported: applied vertical displacement

Beam under bending: with held ends: left end fixed: right end free: temperature gradient: across depth: linearly varying

Beam under simple bending: large deflections: left end fixed: right end fixed: uniform load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base fixed: top fixed

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: annular line load + uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on girder

Beam under bending: with held ends: left end fixed: right end guided: concentrated load

Thin-walled cylindrical shell: Free-supported: radial load

Allowable external pressure: of cylindrical shells: circularity outside tolerance

Beam under simple bending: large deflections: left end fixed: right end supported: uniform load

Thin-walled cylindrical shell: Supported-supported: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform temperature change

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top fixed

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Beam under bending: with held ends: left end fixed: right end free: applied angular displacement

Required thickness of conical shells: under internal pressure: Calculation based on inside diameter

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top supported

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: distributed + uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on post

Thin-walled cylindrical shell: Free-guided: uniform radial pressure: from 'a' to B

Thin-walled cylindrical shell: Guided-fixed: uniform radial pressure: from 'a' to B

Rectangular membranes: 4 held sides: uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half

Thin-walled cylindrical shell: Guided-supported: radial load

Guided-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Beam under simple bending: large deflections: left end fixed: right end guided: uniform load

Beam under bending: with held ends: left end fixed: right end fixed: concentrated load

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped: distributed load

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: distributed load

Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder left half

Fixed-fixed beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: point load: on right post

Guided-free beam: on elastic foundation: point load

Thin-walled cylindrical shell: Fixed-fixed: applied moment

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: point load: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform temperature change

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on girder

Supported-guided beam: on elastic foundation: concentrated load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: uniform temperature change

Thin-walled cylindrical shell: Guided-free: linearly varying radial pressure

Thin-walled cylindrical shell: Free-free: radial load

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top guided

Required thickness of conical shells: under internal pressure: Calculation based on outside diameter

Beam under simple bending: large deflections: left end supported: right end guided: uniform load

Thin-walled cylindrical shell: Free-guided: linearly varying radial pressure

Guided-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on girder right half

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: combined loads

Thin-walled cylindrical shell: Fixed-free: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Free-fixed: linearly varying radial pressure

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: guided edge: center load + uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads

Supported-fixed beam: on elastic foundation: concentrated load

Thin-walled cylindrical shell: Supported-free: radial load

Beam under bending: with held ends: left end fixed: right end supported: applied vertical displacement

Thin-walled cylindrical shell: Free-supported: uniform radial pressure: from 'a' to B

Circular flanges with hub: hub with constant thickness: loose, welded: fig.2-4(3): to internal pressure: gasket laying inside inner edge of bolt holes

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: combined loads

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder left half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on girder right half

Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: distributed load

Thin-walled cylindrical shell: Supported-guided: linearly varying radial pressure

Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: uniform annular line load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: combined loads

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on left post

Two cylinders in contact under load: parallel axes: Hertz's theory

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: vertical: on girder right half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on right post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base fixed: top supported

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform temperature change

Narrow face gasketed flanges: integral method: with hub: WN or LWN type: to internal pressure

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped: uniform distributed load

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: concentrated load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: uniform annular line load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: vertical: on girder right half

Thin-walled cylindrical shell: Supported-supported: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: vertical: on girder right half

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on girder

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base supported: top supported

Beam under bending: with held ends: left end fixed: right end guided: concentrated moment

Beam under bending: with held ends: left end fixed: right end fixed: distributed load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on girder

Thin-walled cylindrical shell: Fixed-guided: radial load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on left post

Rectangular membranes: 4 held sides: liquid filled+self weight

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on left post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: combined loads

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on girder right half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder left half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on left post

Thin-walled cylindrical shell: Fixed-free: applied moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: vertical: on girder

Small deflections of rectangular plates: on elastic foundation: free: concentrated load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: point load: on left post

Thin-walled cylindrical shell: Fixed-fixed: linearly varying radial pressure

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: point load: on left post

Beam under bending: with held ends: left end supported: right end supported: applied angular displacement

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: combined loads

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on left post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on girder

Thin-walled cylindrical shell: Fixed-guided: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Supported-free: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on right post

Thin-walled cylindrical shell: Supported-fixed: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on girder right half

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: center load + uniform load

Supported-fixed beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: combined loads

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Disc springs: stack in series and in parallel: with or without bearing flats

Spheres in contact with a spherical socket under load: Hertz's theory

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top guided

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top guided

Junction between the large end of a cone and a cylinder: without a knuckle: cone and cylinder with constant thicknesses: under internal pressure

Beam under simple bending: large deflections: left end fixed: right end fixed: concentrated load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end guided: distributed load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: vertical: on girder right half

Large deflections of rectangular plates: 4 supported & held sides: uniform load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: fixed edge: distributed + uniform load

Beam under simple bending: large deflections: left end supported: right end guided: distributed load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on girder

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base supported: top supported

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base supported: top supported

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on left post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform temperature change

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform pressure: on girder left half

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: point load: on post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported: distributed + uniform load

Thin-walled cylindrical shell: Supported-guided: radial load

Thin-walled cylindrical shell: Fixed-supported: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on girder

Thin-walled cylindrical shell: Free-guided: radial load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on right post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform load: on post

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top supported

Junction between the large end of a cone and a cylinder: with knuckle: cone and cylinder with constant thicknesses: under internal pressure

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: vertical: on girder

Beam under bending: with held ends: left end fixed: right end guided: temperature gradient: across depth: linearly varying

Beam under bending: with held ends: left end supported: right end guided: concentrated load

Circular flanges with hub: integral with hub slope 1/3 max: WN or LWN type: to internal pressure: gasket laying inside inner edge of bolt holes

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end guided: uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform temperature change

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: vertical: on girder

Beam under bending: with held ends: left end fixed: right end free: uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on right post

Solid circular flat plate with uniform thickness: pure membrane behaviour: simply supported: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on left post

Beam under bending: with held ends: left end fixed: right end free: concentrated load

Flat face flanges with metal-to-metal contact outside the bolt circle: analysis of an identical (Class 1) flange pair: same material: integral (Cat.1) flanges: hub of constant thickness: with spacer: self-sealing gasket with negligible loads

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on girder

Beam: simple bending: with held ends: left end supported: right end supported: uniform load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: uniform annular line load

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: supported edge: center load + uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on left post

Thin-walled cylindrical shell: Free-guided: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform pressure: on girder right half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: point load: on right post

Thin-walled cylindrical shell: Free-fixed: radial load

Disc springs: stack in series: with or without bearing flats

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on left post

Thin-walled cylindrical shell: Supported-free: uniform radial pressure: from 'a' to B

Beam under bending: with held ends: left end fixed: right end supported: applied angular displacement

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on left post

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top fixed

Small deflections of rectangular plates: on elastic foundation: free: distributed load: over a partial rectangular area

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: point load: on girder

Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: uniform distributed load

Thin-walled cylindrical shell: Guided-free: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Supported-fixed: linearly varying radial pressure

Disc springs: stack in parallel: with or without bearing flats

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end fixed: concentrated moment

Fixed-fixed beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Supported-fixed beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Thin-walled cylindrical shell: Fixed-fixed: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: vertical: on girder

Beam under simple bending: large deflections: left end fixed: right end guided: concentrated load

Thin-walled cylindrical shell: Fixed-free: linearly varying radial pressure

Free-free beam: on elastic foundation: concentrated moment

Semiinfinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

W.R.C. Bulletin 297-Aug.84,Supplement to WRC Bulletin No. 107: Local Stresses in Cylindrical Shells Due to External Loadings on a Radial Flush Nozzle: Pressure stresses per BS5500 G.2.3.5.2(a): (radial load should not include pressure end load)

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform load: on girder

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: uniform load

Thin-walled cylindrical shell: Supported-fixed: applied moment

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load: over a partial rectangular area

Solid circular flat plate with uniform thickness: pure membrane behaviour: supported & held: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: combined loads

Thin-walled cylindrical shell: Fixed-fixed: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: vertical: on girder left half

Beam under simple bending: large deflections: left end supported: right end guided: concentrated load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: center load + uniform load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base supported: top supported

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top free

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on right post

Sphere in contact with a flat plate under load: Hertz's theory

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on girder left half

Beam under bending: with held ends: left end fixed: right end free: concentrated moment

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: fixed edge: center load + uniform load

Guided-infinite beam: on elastic foundation: concentrated moment

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on girder

Thin-walled cylindrical shell: Free-free: applied moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform temperature change

Beam under bending: with held ends: left end fixed: right end fixed: applied angular displacement

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end supported: uniform load

Circular flat flanges without hubs: loose, welded: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: combined loads

Thin-walled cylindrical shell: Fixed-fixed: radial load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: distributed load

Beam under bending: with held ends: left end supported: right end guided: concentrated moment

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: annular line load + uniform load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported: distributed load

Full face flanges with soft ring type gaskets: external pressure

Beam under simple bending: large deflections: left end fixed: right end fixed: distributed load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: vertical: on girder

Fixed-fixed beam: on elastic foundation: point load

Beam under bending: with held ends: left end supported: right end supported: temperature gradient: across depth: linearly varying

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on left post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on left post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: point load: on left post

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: guided edge: annular line load + uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: point load: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on left post

Solid circular flat plate with uniform thickness: pure membrane behaviour: simply supported: uniform annular line load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Fixed-guided beam: on elastic foundation: concentrated moment

Fixed-infinite beam: on elastic foundation: point load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: annular line load + uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: vertical: on girder right half

Thin-walled cylindrical shell: Fixed-guided: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform pressure: on girder left half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Infinite beam: on elastic foundation: concentrated load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform pressure: on girder right half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: point load: on left post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on girder right half

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base fixed: top guided

Thin-walled cylindrical shell: Free-free: linearly varying radial pressure

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top guided

Beam under bending: with held ends: left end fixed: right end guided: applied angular displacement

Supported-free beam: on elastic foundation: concentrated load

Fixed-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform temperature change

Semi-infinite beam: on elastic foundation: concentrated moment

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: point load: on girder

Thin-walled cylindrical shell: Supported-guided: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Fixed-guided: applied moment

Thin-walled cylindrical shell: Guided-supported: linearly varying radial pressure

Beam under bending: with held ends: left end fixed: right end supported: temperature gradient: across depth: linearly varying

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on left post

Thin-walled cylindrical shell: Fixed-supported: applied moment

Minimum thickness of: ellipsoidal ends: under internal pressure

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: uniform load: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on left post

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Fixed-free beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on girder

Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes: split ring: along a diameter: with bolt spacing correction

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform pressure: on girder right half

Solid circular flat plate with uniform thickness: pure membrane behaviour: supported & held: uniform annular line load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder

Spheres in contact: with a grooved outer ring: under load: Hertz's theory

Allowable external pressure: of cylindrical shells: circularity within tolerance

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: center load

Two cylinders in contact under load: axes at right angles: Hertz's theory

Spheres in contact: with a grooved inner ring: under load: Hertz's theory

Beam under bending: with held ends: left end supported: right end guided: uniform load

Thin-walled cylindrical shell: Supported-supported: radial load

Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: uniform annular line load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes: split ring: along a diameter

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform temperature change

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base fixed: top free

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on left post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top fixed

Rectangular membranes: 3 held sides, 1 free: uniform load

Thin-walled cylindrical shell: Supported-fixed: uniform radial pressure: from 'a' to 'b'

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: supported edge: annular line load + uniform load

Guided-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on left post

Large deflections of rectangular plates: 4 simply supported sides: distributed load linearly varying along side a

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on girder left half

Large deflections of rectangular plates: 4 clamped & held sides: distributed load linearly varying along side a

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load linearly varying along side a: starting at x0

Beam under bending: with held ends: left end fixed: right end supported: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on right post

W.R.C. Bulletin 297-Aug.84,Supplement to WRC Bulletin No. 107: Local Stresses in Cylindrical Shells Due to External Loadings on a Radial Flush Nozzle: Loads specified at nozzle/wall intersection

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: point load: on post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: point load: on post

Circular expansion joints: single: unreinforced bellows: without collar: to internal pressure: zero corrosion allowance: cyclic movement due to thermal expansion

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Beam under simple bending: large deflections: left end fixed: right end supported: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on left post

Supported-free beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on left post

Disc springs: single: with or without bearing flats

Thin-walled cylindrical shell: Supported-free: linearly varying radial pressure

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: uniform annular line load

Thin-walled cylindrical shell: Fixed-guided: linearly varying radial pressure

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed: distributed + uniform load

Beam under bending: with held ends: left end supported: right end guided: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on right post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on right post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: point load: on post

Thin-walled cylindrical shell: Supported-free: applied moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half

Spheres in contact with a cylindrical socket under load: Hertz's theory

Thin-walled cylindrical shell: Guided-guided: linearly varying radial pressure

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load linearly varying along side a

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on right post

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on girder

Guided-guided beam: on elastic foundation: concentrated load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on girder

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: fixed edge: annular line load + uniform load

Large deflections of rectangular plates: 4 supported & held sides: distributed load linearly varying along side a

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end fixed: applied vertical displacement

Guided-infinite beam: on elastic foundation: point load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform temperature change

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: vertical: on girder

Thin-walled cylindrical shell: Fixed-supported: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on girder left half

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: annular line load + uniform load

Large deflections of rectangular plates: 4 simply supported sides: distributed load linearly varying along side a: starting at x0

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads

Beam under bending: with held ends: left end fixed: right end supported: concentrated load

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top free

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: clamped edge: center load

Thin-walled cylindrical shell: Guided-guided: applied moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: vertical: on girder left half

Fixed-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Minimum thickness of: torispherical ends: under internal pressure

Beam under bending: with held ends: left end fixed: right end supported: concentrated moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads

Beam under bending: with held ends: left end fixed: right end free: distributed load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on left post

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped edge: uniform annular line load

Beam under bending: with held ends: left end supported: right end supported: concentrated moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: point load: on right post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: center load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: center load + uniform load

Thin-walled cylindrical shell: Guided-supported: applied moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: vertical: on girder left half

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top supported

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on girder right half

Large deflections of rectangular plates: 4 supported & fully held sides: uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on girder right half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: point load: on girder

Flat face flanges with metal-to-metal contact outside the bolt circle: analysis of a flange cover assembly (Class 3): integral (Cat.1) flange: hub of constant thickness: no spacer: self-sealing gasket with negligible loads

Semiinfinite beam: on elastic foundation: point load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: point load: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on right post

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: center load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: point load: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: point load: on right post

Supported-infinite beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: supported edge: distributed + uniform load

Thin-walled cylindrical shell: Guided-fixed: applied moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on girder

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on girder

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top fixed

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: vertical: on girder left half

Infinite beam: on elastic foundation: distributed load: linearly varying over 'a'

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: center load + uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder left half

Beam under simple bending: large deflections: left end fixed: right end guided: distributed load

Design rules for clamp connections: clamping faces parallel

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: combined loads

Thin-walled cylindrical shell: Fixed-free: radial load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: point load: on girder

Thickness of shells and tubes: under external pressure

Fixed-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on right post

Beam: simple bending: with held ends: left end supported: right end supported: distributed load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: uniform load: on post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top guided

Thin-walled cylindrical shell: Guided-guided: radial load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on girder

Thin-walled cylindrical shell: Free-fixed: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: vertical: on girder right half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half

Thin-walled cylindrical shell: Guided-free: applied moment

Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes

Simply supported beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Two spheres in contact under load: Hertz's theory

Beam under simple bending: large deflections: left end supported: right end supported: uniform load

Large deflections of rectangular plates: 4 clamped & held sides: uniform load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed: distributed load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder

Fixed-guided beam: on elastic foundation: point load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on girder left half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: distributed + uniform load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base supported: top supported

Beam under simple bending: large deflections: left end fixed: right end free: distributed load

Large deflections of rectangular plates: 4 simply supported sides: uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform temperature change

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on right post

Full face flanges: with soft ring type gaskets: to internal pressure

Thin-walled cylindrical shell: Free-guided: applied moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder right half

Supported-guided beam: on elastic foundation: concentrated moment

Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: uniform distributed load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: uniform annular line load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: distributed partial load: linearly varying: on post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on left post

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform temperature change

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: combined loads

Cylinder in contact on a flat plate under load: Hertz's theory

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: vertical: on girder left half

Circular flanges with hub: integral with hub slope 1/3 max: WN or LWN type: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: vertical: on girder right half

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base supported: top supported

Thin-walled cylindrical shell: Guided-guided: uniform radial pressure: from 'a' to B

Rectangular membranes: 4 fully held sides: uniform load

Beam under simple bending: large deflections: left end supported: right end supported: concentrated load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top supported

Thin-walled cylindrical shell: Free-free: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Guided-fixed: linearly varying radial pressure

Beam under simple bending: large deflections: left end fixed: right end free: concentrated load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top free

Free-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform temperature change

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on left post

Supported-infinite beam: on elastic foundation: concentrated load

Thin-walled cylindrical shell: Guided-supported: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform pressure: on girder right half

Thin-walled cylindrical shell: Fixed-supported: linearly varying radial pressure

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder left half

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on right post

Minimum thickness of: spherical shells: spherical parts of shells: hemispherical ends: central zone of torispherical ends: spherical knuckles of cones to cylinders: under internal pressure: e/De<=0.16: Calculation based on outer radius

Beam under bending: with held ends: left end supported: right end guided: temperature gradient: across depth: linearly varying

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on right post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform pressure: on girder left half

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads

Thin-walled cylindrical shell: Free-free: uniform radial pressure: from 'a' to B

Thin-walled cylindrical shell: Supported-guided: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: vertical: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on left post

Thin-walled cylindrical shell: Guided-fixed: radial load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: distributed load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on left post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on right post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: point load: on girder

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on post

Fixed-free beam: on elastic foundation: point load

Full faced flanges with soft ring type gaskets: non metallic gaskets not less than 1.5 mm thick

Flat face flanges with metal-to-metal contact outside the bolt circle: analysis of an identical (Class 1) flange pair: same material: integral (Cat.1) flanges: hub of constant thickness: no spacer: self-sealing gasket with negligible loads

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on right post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on right post

Beam under bending: with held ends: left end fixed: right end fixed: uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform pressure: on girder left half

Infinite beam: on elastic foundation: concentrated moment

Thin-walled cylindrical shell: Free-supported: applied moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: vertical: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder

Thin-walled cylindrical shell: Free-fixed: uniform radial pressure: from 'a' to 'b'

Fixed-infinite beam: on elastic foundation: concentrated moment

Beam: simple bending: with held ends: left end supported: right end supported: uniform load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on right post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top free

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: point load: on post

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: uniform annular line load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform temperature change

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on girder

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: point load: on post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on girder left half

Thin-walled cylindrical shell: Guided-fixed: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: vertical: on girder left half

Cylinder in contact in a cylindrical socket under load: Hertz's theory

Simply supported beam: on elastic foundation: point load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: point load: on girder

Supported-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Minimum thickness of cylindrical shells under internal pressure: e/De<=0.16: Calculation based on inner diameter

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: uniform load

Rectangular membranes: 4 fully held sides: distributed load linearly varying along side a

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top free

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: vertical: on girder

Beam under simple bending: large deflections: left end fixed: right end supported: concentrated load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: distributed partial load: linearly varying: on girder

Circular flat flanges without hubs: loose, welded: to internal pressure: gasket laying inside inner edge of bolt holes

Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: distributed load

Minimum thickness of: spherical shells: spherical parts of shells: hemispherical ends: central zone of torispherical ends: spherical knuckles of cones to cylinders: under internal pressure: e/De<=0.16: Calculation based on inner radius

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: vertical: on girder

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Thin-walled cylindrical shell: Supported-fixed: radial load

Thin-walled cylindrical shell: Free-supported: linearly varying radial pressure

Simply supported beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: vertical: on girder left half

Thin-walled cylindrical shell: Free-supported: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Large deflections of rectangular plates: 4 supported & held sides: distributed load linearly varying along side a: starting at x0

Thin-walled cylindrical shell: Guided-free: uniform radial pressure: from 'a' to B

Thin-walled cylindrical shell: Free-fixed: applied moment

Large deflections of rectangular plates: 4 clamped & held sides: distributed load linearly varying along side a: starting at x0

Supported-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Thin-walled cylindrical shell: Guided-guided: uniform radial pressure: from 'a' to 'b'

Circular flanges with hub: hub with constant thickness: loose, welded: fig.2-4(3): to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction

Thin-walled cylindrical shell: Guided-supported: uniform radial pressure: from 'a' to 'b'

Design rules for clamp connections: clamping faces parallel: hub calculated as loose flange

Guided-guided beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on girder

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform temperature change

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: horizontal: on girder left half

Thin-walled cylindrical shell: Supported-supported: linearly varying radial pressure

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: distributed partial load: linearly varying: on right post

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: center load + uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on girder left half

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: horizontal: on left post

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: uniform distributed load

Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top supported

Supported-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Beam under bending: with held ends: left end supported: right end guided: applied angular displacement

Guided-free beam: on elastic foundation: concentrated moment

Thin-walled cylindrical shell: Fixed-supported: radial load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: distributed partial load: linearly varying: on post

Thin-walled cylindrical shell: Guided-free: radial load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on right post

Beam under simple bending: large deflections: left end fixed: right end free: uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on girder left half

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: distributed + uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: combined loads

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on girder

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: guided edge: distributed + uniform load

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: annular line load + uniform load

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on right post

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform temperature change

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on girder

Beam under simple bending: large deflections: left end supported: right end supported: distributed load

Free-free beam: on elastic foundation: point load

Thin-walled cylindrical shell: Supported-supported: applied moment

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform temperature change

Thin-walled cylindrical shell: Fixed-free: uniform radial pressure: from 'a' to B

Thin-walled cylindrical shell: Supported-guided: applied moment

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top fixed

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Minimum thickness of cylindrical shells under internal pressure: e/De<=0.16: Calculation based on outer diameter

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on girder right half

Beam under bending: with held ends: left end supported: right end supported: applied vertical displacement

Beam under bending: with held ends: left end fixed: right end free: temperature gradient: across depth: linearly varying

Beam under simple bending: large deflections: left end fixed: right end fixed: uniform load

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base fixed: top fixed

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: annular line load + uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on girder

Beam under bending: with held ends: left end fixed: right end guided: concentrated load

Thin-walled cylindrical shell: Free-supported: radial load

Allowable external pressure: of cylindrical shells: circularity outside tolerance

Beam under simple bending: large deflections: left end fixed: right end supported: uniform load

Thin-walled cylindrical shell: Supported-supported: uniform radial pressure: from 'a' to 'b'

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform temperature change

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top fixed

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post

Beam under bending: with held ends: left end fixed: right end free: applied angular displacement

Required thickness of conical shells: under internal pressure: Calculation based on inside diameter

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top supported

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: distributed + uniform load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: distributed partial load: linearly varying: on post

Thin-walled cylindrical shell: Free-guided: uniform radial pressure: from 'a' to B

Thin-walled cylindrical shell: Guided-fixed: uniform radial pressure: from 'a' to B

Rectangular membranes: 4 held sides: uniform load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half

Thin-walled cylindrical shell: Guided-supported: radial load

Guided-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Beam under simple bending: large deflections: left end fixed: right end guided: uniform load

Beam under bending: with held ends: left end fixed: right end fixed: concentrated load

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped: distributed load

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: distributed load

Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder left half

Fixed-fixed beam: on elastic foundation: concentrated moment

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: point load: on right post

Guided-free beam: on elastic foundation: point load

Thin-walled cylindrical shell: Fixed-fixed: applied moment

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: point load: on girder

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform temperature change

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on girder

Supported-guided beam: on elastic foundation: concentrated load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: uniform temperature change

Thin-walled cylindrical shell: Guided-free: linearly varying radial pressure

Thin-walled cylindrical shell: Free-free: radial load

Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top guided

Required thickness of conical shells: under internal pressure: Calculation based on outside diameter

Beam under simple bending: large deflections: left end supported: right end guided: uniform load

Thin-walled cylindrical shell: Free-guided: linearly varying radial pressure

Guided-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: uniform load: horizontal: on girder right half

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: combined loads

Thin-walled cylindrical shell: Fixed-free: uniform radial pressure: from 'a' to 'b'

Thin-walled cylindrical shell: Free-fixed: linearly varying radial pressure

Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: guided edge: center load + uniform load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads

Supported-fixed beam: on elastic foundation: concentrated load

Thin-walled cylindrical shell: Supported-free: radial load

Beam under bending: with held ends: left end fixed: right end supported: applied vertical displacement

Thin-walled cylindrical shell: Free-supported: uniform radial pressure: from 'a' to B

Circular flanges with hub: hub with constant thickness: loose, welded: fig.2-4(3): to internal pressure: gasket laying inside inner edge of bolt holes

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: distributed partial load: linearly varying: on post

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: combined loads

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder left half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: point load: horizontal: on girder right half

Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: distributed load

Thin-walled cylindrical shell: Supported-guided: linearly varying radial pressure

Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: uniform annular line load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: combined loads

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on left post

Two cylinders in contact under load: parallel axes: Hertz's theory

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: uniform load: vertical: on girder right half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: supports at same elevation: point load: horizontal: on right post

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 2nd power of x (n=2): under a single axial compressive load: base fixed: top supported

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform temperature change

Narrow face gasketed flanges: integral method: with hub: WN or LWN type: to internal pressure

Solid circular flat plate with uniform thickness: large deflections behaviour: clamped: uniform distributed load

Small deflections of rectangular plates: bending + shear: 4 simply supported sides: concentrated load

Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: uniform annular line load

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: point load: vertical: on girder right half

Thin-walled cylindrical shell: Supported-supported: uniform radial pressure: from 'a' to B

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: vertical: on girder right half

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: horizontal: on girder

Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base supported: top supported

Beam under bending: with held ends: left end fixed: right end guided: concentrated moment

Beam under bending: with held ends: left end fixed: right end fixed: distributed load

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on girder

Thin-walled cylindrical shell: Fixed-guided: radial load

Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on left post

Rectangular membranes: 4 held sides: liquid filled+self weight

Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform load: horizontal: on left post

One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: combined loads

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: point load: horizontal: on girder right half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder left half

Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half