One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: combined loads
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
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 supported: right end guided: uniform load
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: center load + uniform 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 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: uniform pressure: 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 pinned: supports at same elevation: point load: horizontal: 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: point load: horizontal: on girder right half
Beam under bending: with held ends: left end fixed: right end free: concentrated 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: distributed partial load: linearly varying: horizontal: on left 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 free
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: distributed + uniform load
Cylinder in contact in a cylindrical socket 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: distributed partial load: linearly varying: horizontal: on left post
Free-free beam: on elastic foundation: point load
Solid circular flat plate with uniform thickness: pure membrane behaviour: supported & held: distributed load
Beam under bending: with held ends: left end fixed: right end guided: distributed load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on girder
Small deflections of rectangular plates: on elastic foundation: free: concentrated load
Thin-walled cylindrical shell: Free-fixed: radial 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: 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
Beam under bending: with held ends: left end fixed: right end free: applied angular displacement
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
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: 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
Beam under bending: with held ends: left end fixed: right end fixed: applied angular displacement
Beam: simple bending: with held ends: left end supported: right end supported: uniform load
Minimum thickness of: ellipsoidal ends: under internal pressure
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
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: combined loads
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
Fixed-fixed beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
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: 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
Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: uniform temperature change
Thin-walled cylindrical shell: Free-fixed: uniform radial pressure: from 'a' to B
Beam under bending: with held ends: left end fixed: right end fixed: concentrated moment
Fixed-free beam: on elastic foundation: point 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: horizontal: on right post
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on girder
Beam under bending: with held ends: left end supported: right end guided: applied angular displacement
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: supported edge: distributed + 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: 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: 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: distributed partial load: linearly varying: 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: distributed partial load: linearly varying: horizontal: 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 girder left half
Rectangular membranes: 4 held sides: liquid filled+self weight
Spheres in contact with a spherical socket under load: Hertz's theory
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: supported edge: center load + uniform load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: uniform load: on girder
Beam under bending: with held ends: left end fixed: right end free: uniform load
Thin-walled cylindrical shell: Guided-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 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 load: horizontal: on left post
Semiinfinite 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 fixed: right end fixed: combined loads
Beam under bending: with held ends: left end fixed: right end fixed: uniform load
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 fixed: supports at same elevation: uniform load: horizontal: on left post
Allowable external pressure: of cylindrical shells: circularity outside tolerance
Solid circular flat plate with uniform thickness: large deflections behaviour: clamped: uniform 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 left half
Thin-walled cylindrical shell: Guided-free: uniform radial pressure: from 'a' to B
Thin-walled cylindrical shell: Free-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: point load: horizontal: on girder
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
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
Spheres in contact: with a grooved inner ring: under load: Hertz's theory
Beam under bending: with held ends: left end supported: right end supported: concentrated moment
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 fixed: right end pinned: supports at same elevation: point load: horizontal: on left post
Fixed-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 outer diameter
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
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 supported: uniform load
Thin-walled cylindrical shell: Guided-guided: uniform radial pressure: from 'a' to B
Large deflections of rectangular plates: 4 supported & held sides: distributed load linearly varying along side a: starting at x0
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
Thin-walled cylindrical shell: Supported-guided: applied moment
Thin-walled cylindrical shell: Free-supported: radial load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: 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: uniform load: vertical: on girder
Guided-free beam: on elastic foundation: point load
Thin-walled cylindrical shell: Free-free: uniform radial pressure: from 'a' to B
Thin-walled cylindrical shell: Supported-free: uniform radial pressure: from 'a' to 'b'
Thin-walled cylindrical shell: Guided-fixed: linearly varying radial pressure
Thin-walled cylindrical shell: Guided-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 supported: top supported
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
Narrow face gasketed flanges: integral method: with hub: WN or LWN type: to internal pressure
Rectangular membranes: 3 held sides, 1 free: 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: vertical: on girder
Thin-walled cylindrical shell: Fixed-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 fixed: right end pinned: supports at same elevation: point load: horizontal: on right post
Fixed-guided beam: on elastic foundation: point load
Thin-walled cylindrical shell: Free-free: radial load
Guided-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform temperature change
Thin-walled cylindrical shell: Free-supported: uniform radial pressure: from 'a' to B
Thin-walled cylindrical shell: Supported-guided: uniform radial pressure: from 'a' to B
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on post
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
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: 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: distributed partial load: linearly varying: vertical: on girder right half
Fixed-guided beam: on elastic foundation: concentrated moment
Thin-walled cylindrical shell: Guided-fixed: 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: uniform load: horizontal: on girder
Beam under simple bending: large deflections: left end fixed: right end guided: concentrated load
Thin-walled cylindrical shell: Free-free: uniform radial pressure: from 'a' to 'b'
Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: distributed load
Thin-walled cylindrical shell: Supported-fixed: 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: Supported-supported: applied moment
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: uniform annular line 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
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 fixed: right end pinned: combined loads
Thin-walled cylindrical shell: Free-supported: uniform radial pressure: from 'a' to 'b'
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
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed: distributed + uniform load
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
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
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: center load
Thin-walled cylindrical shell: Supported-supported: uniform radial pressure: from 'a' to B
Guided-free beam: on elastic foundation: concentrated moment
Thin-walled cylindrical shell: Supported-fixed: applied moment
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
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 guided: uniform load
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 fixed: right end sliding: distributed partial load: linearly varying: on girder
Solid circular flat plate with uniform thickness: pure membrane behaviour: simply supported: distributed load
Beam under bending: with held ends: left end fixed: right end supported: applied vertical displacement
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
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: point load: on post
Full face flanges: with soft ring type gaskets: to 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: point 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 pinned: supports at same elevation: uniform pressure: on girder left half
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
Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load: over a partial rectangular area
Beam under bending: with held ends: left end supported: right end guided: distributed 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
Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform temperature change
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: 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: combined loads
Fixed-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: annular line load + 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
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
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
Small deflections of rectangular plates: bending + shear: 4 simply supported sides: concentrated 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 girder
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
Minimum thickness of cylindrical shells under internal pressure: e/De<=0.16: Calculation based on inner diameter
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
Beam: simple bending: with held ends: left end supported: right end supported: distributed load
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: center load + uniform load
Beam under bending: with held ends: left end fixed: right end guided: applied angular displacement
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: 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
Beam under bending: with held ends: left end fixed: right end free: distributed load
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
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: guided edge: distributed + 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: vertical: 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 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 guided: concentrated moment
Beam under bending: with held ends: left end fixed: right end supported: concentrated 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: 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: point 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 pinned: supports at same elevation: point load: vertical: on girder left half
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: uniform load
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
Portal frame: vertical left post: symmetrically gabled 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 supported: temperature gradient: across depth: linearly varying
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: 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
Beam under bending: with held ends: left end fixed: right end fixed: distributed load
Fixed-free beam: on elastic foundation: concentrated moment
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top supported
Thin-walled cylindrical shell: Fixed-fixed: uniform radial pressure: from 'a' to 'b'
Large deflections of rectangular plates: 4 simply supported sides: distributed load linearly varying along side a: starting at x0
Thin-walled cylindrical shell: Free-guided: radial load
Large deflections of rectangular plates: 4 supported & fully held sides: uniform load
Beam under simple bending: large deflections: left end fixed: right end free: concentrated load
Thin-walled cylindrical shell: Supported-free: radial 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
Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: distributed load
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 fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder right half
Thin-walled cylindrical shell: Fixed-free: radial load
Minimum thickness of: torispherical ends: under internal pressure
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 fixed: right end supported: distributed load
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: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: 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 fixed: right end pinned: supports at same elevation: uniform temperature change
Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes: split ring: along a diameter
Thin-walled cylindrical shell: Free-guided: uniform radial pressure: from 'a' to B
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: center load + uniform load
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top guided
Free-free beam: on elastic foundation: concentrated moment
Solid circular flat plate with uniform thickness: pure membrane behaviour: supported & held: uniform annular line load
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: 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: vertical: on girder left half
Circular flat flanges without hubs: loose, welded: to internal pressure: gasket laying inside inner edge of bolt holes
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
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
Thin-walled cylindrical shell: Fixed-free: uniform radial pressure: from 'a' to B
Beam under simple bending: large deflections: left end fixed: right end fixed: concentrated load
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: center 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: uniform load: vertical: on girder
Thin-walled cylindrical shell: Fixed-supported: applied moment
Thin-walled cylindrical shell: Fixed-guided: radial load
Full face flanges with soft ring type gaskets: external pressure
Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: distributed load
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top supported
Solid circular flat plate with uniform thickness: large deflections behaviour: clamped edge: uniform annular line load
Thin-walled cylindrical shell: Fixed-fixed: uniform radial pressure: from 'a' to B
Thin-walled cylindrical shell: Guided-supported: uniform radial pressure: from 'a' to B
Large deflections of rectangular plates: 4 clamped & held sides: distributed load linearly varying along side a: starting at x0
Beam under simple bending: large deflections: left end supported: right end guided: concentrated 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: uniform load: vertical: on girder
Disc springs: stack in series: with or without bearing flats
Allowable external pressure: of cylindrical shells: circularity within tolerance
Thin-walled cylindrical shell: Guided-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 pinned: supports at same elevation: uniform load: horizontal: on right post
Thin-walled cylindrical shell: Supported-free: linearly varying radial pressure
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed: distributed load
Thin-walled cylindrical shell: Fixed-fixed: radial load
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top guided
Rectangular membranes: 4 held sides: uniform load
Thin-walled cylindrical shell: Fixed-guided: linearly varying radial pressure
Thin-walled cylindrical shell: Free-guided: uniform radial pressure: from 'a' to 'b'
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: center load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: uniform load: on post
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: fixed edge: annular line load + uniform load
Thin-walled cylindrical shell: Fixed-free: uniform radial pressure: from 'a' to 'b'
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on post
Beam under simple bending: large deflections: left end supported: right end supported: concentrated 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: supported edge: center load + uniform load
Thin-walled cylindrical shell: Guided-supported: applied moment
Simply supported beam: on elastic foundation: concentrated moment
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: free edge: annular line load + uniform load
Thin-walled cylindrical shell: Supported-free: applied moment
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: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: point load: on left post
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: distributed partial load: linearly varying: vertical: on girder
Thin-walled cylindrical shell: Fixed-free: applied moment
Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load linearly varying along side a
Thin-walled cylindrical shell: Free-guided: applied moment
Infinite beam: on elastic foundation: concentrated load
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: 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: uniform pressure: 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: 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
Thin-walled cylindrical shell: Fixed-guided: uniform radial pressure: 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: Loads specified at nozzle/wall intersection
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
Supported-fixed beam: on elastic foundation: concentrated moment
Beam under simple bending: large deflections: left end fixed: right end fixed: 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
Thin-walled cylindrical shell: Guided-supported: linearly varying radial pressure
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top free
Fixed-fixed beam: on elastic foundation: concentrated moment
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
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform temperature change
Disc springs: stack in series and in parallel: with or without bearing flats
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform load: on post
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
Thin-walled cylindrical shell: Supported-free: uniform radial pressure: from 'a' to B
Thin-walled cylindrical shell: Free-fixed: linearly varying radial pressure
Beam under simple bending: large deflections: left end fixed: right end free: uniform load
Large deflections of rectangular plates: 4 simply supported sides: uniform 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
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: 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 right half
Thin-walled cylindrical shell: Fixed-guided: applied moment
Thin-walled cylindrical shell: Fixed-supported: radial load
Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: uniform annular line 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
Thin-walled cylindrical shell: Guided-guided: uniform radial pressure: from 'a' to 'b'
Infinite beam: on elastic foundation: distributed load: linearly varying over 'a'
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: 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 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 left half
Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: distributed + uniform load
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported: distributed load
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
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: clamped edge: center load
Thin-walled cylindrical shell: Supported-supported: uniform radial pressure: from 'a' to 'b'
Simply supported 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 fixed: supports at same elevation: point load: vertical: on girder
Thickness of shells and tubes: under external pressure
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: supported edge: annular line load + uniform load
Supported-fixed beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: fixed edge: center load + uniform load
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)
Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: combined loads
Beam under simple bending: large deflections: 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 pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder
Thin-walled cylindrical shell: Supported-fixed: uniform radial pressure: from 'a' to 'b'
Solid circular flat plate with uniform thickness: large deflections behaviour: clamped: distributed load
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top free
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: uniform load: vertical: on girder right half
Beam under simple bending: large deflections: left end fixed: right end guided: distributed load
Simply supported beam: on elastic foundation: point load
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: uniform annular line load
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: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: supports at same elevation: uniform temperature change
Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: uniform annular line 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
Disc springs: single: with or without bearing flats
Semi-infinite beam: on elastic foundation: concentrated moment
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top fixed
Thin-walled cylindrical shell: Guided-supported: radial 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: vertical: on girder right half
Beam under simple bending: large deflections: left end supported: right end guided: uniform load
Infinite beam: on elastic foundation: concentrated moment
Supported-fixed beam: on elastic foundation: concentrated load
Thin-walled cylindrical shell: Fixed-fixed: applied moment
Large deflections of rectangular plates: 4 clamped & held sides: uniform 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: uniform load: horizontal: on right 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 load: horizontal: on girder
Design rules for clamp connections: clamping faces parallel
Large deflections of rectangular plates: 4 supported & held sides: distributed load linearly varying along side a
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 temperature change
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
Beam under bending: with held ends: left end fixed: right end guided: temperature gradient: across depth: linearly varying
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
Thin-walled cylindrical shell: Free-free: linearly varying radial pressure
Fixed-infinite beam: on elastic foundation: point 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 guided
Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end fixed: right end fixed: 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: uniform load: horizontal: on girder left half
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
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: combined loads
Required thickness of conical shells: under internal pressure: Calculation based on inside diameter
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
Cylinder in contact on a flat plate under load: Hertz's theory
Beam under bending: with held ends: left end fixed: right end guided: concentrated load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: point load: on girder
Thin-walled cylindrical shell: Free-supported: linearly varying radial pressure
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: point load: on post
Guided-guided beam: on elastic foundation: concentrated moment
Beam under bending: with held ends: left end fixed: right end supported: concentrated 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: distributed partial load: linearly varying: vertical: on girder left 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 girder
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
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
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
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: 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
Beam under bending: with held ends: left end fixed: right end supported: applied angular displacement
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
Thin-walled cylindrical shell: Guided-free: 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 left half
Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: uniform distributed 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 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
Guided-guided beam: on elastic foundation: concentrated load
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: uniform load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: 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 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 fixed: right end pinned: combined loads
Circular expansion joints: single: unreinforced bellows: without collar: to internal pressure: zero corrosion allowance: cyclic movement due to thermal expansion
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: annular line load + uniform load
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
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
Sphere in contact with a flat plate under load: Hertz's theory
Rectangular membranes: 4 fully held sides: distributed load linearly varying along side a
Guided-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
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
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: point load: on post
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
Circular flat flanges without hubs: loose, welded: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction
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
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
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
Beam under bending: with held ends: left end fixed: right end supported: uniform load
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
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
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: point load: on post
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
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
Supported-guided beam: on elastic foundation: concentrated moment
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
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
Thin-walled cylindrical shell: Supported-supported: linearly varying radial pressure
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
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
Beam under simple bending: large deflections: left end fixed: right end fixed: distributed load
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
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
Thin-walled cylindrical shell: Free-supported: 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 left post
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: Supported-guided: radial 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: uniform load: vertical: on girder right half
Thin-walled cylindrical shell: Fixed-supported: uniform radial pressure: from 'a' to 'b'
Supported-free beam: on elastic foundation: concentrated moment
Thin-walled cylindrical shell: Supported-fixed: linearly varying radial pressure
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
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 fixed: right end pinned: uniform load: on girder
Required thickness of conical shells: under internal pressure: Calculation based on outside diameter
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: free edge: uniform annular line 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
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
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
Thin-walled cylindrical shell: Guided-guided: radial load
Beam under simple bending: large deflections: left end fixed: right end supported: concentrated 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 outer radius
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
Thin-walled cylindrical shell: Free-free: applied moment
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform temperature change
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: 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
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base supported: top supported
Fixed-infinite beam: on elastic foundation: concentrated moment
Large deflections of rectangular plates: 4 supported & held sides: uniform load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: distributed partial load: linearly varying: on post
Beam under simple bending: large deflections: left end fixed: right end free: 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
Solid circular flat plate with uniform thickness: simple bending: on (mono)elastic foundation: guided edge: annular line load + uniform load
Thin-walled cylindrical shell: Guided-fixed: applied moment
Supported-free beam: on elastic foundation: concentrated 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
Supported-guided 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 pinned: right end pinned: combined loads
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 simple bending: large deflections: left end supported: right end supported: distributed load
Thin-walled cylindrical shell: Supported-guided: linearly varying radial pressure
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported: distributed + uniform load
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: distributed 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: uniform pressure: on girder right half
Rectangular membranes: 4 fully held sides: uniform load
Thin-walled cylindrical shell: Supported-supported: radial 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
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
Beam under simple bending: large deflections: left end supported: right end guided: distributed 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: uniform load: horizontal: 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: distributed partial load: linearly varying: vertical: on girder right half
Thin-walled cylindrical shell: Guided-supported: uniform radial pressure: from 'a' to 'b'
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform temperature change
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 fixed: right end pinned: supports at same elevation: uniform load: vertical: on girder
Supported-guided beam: on elastic foundation: concentrated load
Supported-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Design rules for clamp connections: clamping faces parallel: hub calculated as loose flange
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: Guided-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 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: point load: horizontal: on left post
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: uniform temperature change
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: supported edge: uniform annular line load
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base supported: top supported
Beam under simple bending: large deflections: left end fixed: right end guided: uniform load
Thin-walled cylindrical shell: Supported-fixed: radial 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 post
Solid circular flat plate with uniform thickness: large deflections behaviour: supported & held: uniform annular line load
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
Thin-walled cylindrical shell: Guided-guided: linearly varying radial pressure
Solid circular flat plate with uniform thickness: large deflections behaviour: clamped & held: uniform distributed load
Supported-infinite beam: on elastic foundation: concentrated moment
Thin-walled cylindrical shell: Guided-free: linearly varying radial pressure
Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads
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
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
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
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: combined loads
Guided-infinite beam: on elastic foundation: point load
Beam under bending: with held ends: left end supported: right end guided: temperature gradient: across depth: linearly varying
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
Beam: simple bending: with held ends: left end supported: right end supported: uniform load
Thin-walled cylindrical shell: Free-fixed: 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: 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: uniform load: horizontal: on left post
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: guided edge: annular line load + uniform load
Fixed-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Large deflections of rectangular plates: 4 simply supported sides: distributed load linearly varying along side a
Beam under bending: with held ends: left end fixed: right end fixed: applied vertical displacement
Fixed-fixed beam: on elastic foundation: point load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: uniform load: on girder
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
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
Beam under bending: with held ends: left end supported: right end supported: temperature gradient: across depth: linearly varying
Spheres in contact with a cylindrical socket 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 right half
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
Guided-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: concentrated 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 supported
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
Thin-walled cylindrical shell: Fixed-free: linearly varying radial pressure
Small deflections of rectangular plates: bending + shear: 4 simply supported sides: uniform 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: 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: distributed partial load: linearly varying: horizontal: on left post
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: uniform load: on girder
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
Spheres in contact: with a grooved outer ring: under load: Hertz's theory
Thin-walled cylindrical shell: Free-guided: linearly varying radial pressure
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 pinned: 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 pinned: right end fixed: distributed partial load: linearly varying: on right post
Free-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: point load: on girder
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: 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: distributed partial load: linearly varying: horizontal: on right post
Large deflections of rectangular plates: 4 clamped & held 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 pinned: supports at same elevation: uniform load: horizontal: on left post
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
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end sliding: right end fixed: combined loads
Supported-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Semiinfinite beam: on elastic foundation: point load
Beam under bending: with held ends: left end fixed: right end fixed: concentrated load
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
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
Solid circular flat plate with uniform thickness: large deflections behaviour: simply supported: uniform distributed load
Beam under bending: with held ends: left end supported: right end supported: applied vertical displacement
Thin-walled cylindrical shell: Guided-free: radial load
Beam under bending: with held ends: left end fixed: right end free: 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 fixed: combined loads
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
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
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: linearly varying radial 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: 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 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 (mono)elastic foundation: fixed edge: distributed + uniform load
Two cylinders in contact under load: axes at right angles: Hertz's theory
Beam under bending: with held ends: left end fixed: right end fixed: temperature gradient: across depth: linearly varying
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
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
Supported-infinite beam: on elastic foundation: concentrated load
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: point 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: horizontal: on right post
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
Guided-infinite beam: on elastic foundation: concentrated moment
Beam under bending: with held ends: left end fixed: right end supported: distributed load
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
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
Solid circular flat plate with uniform thickness: simple bending: on (bi)elastic foundation: fixed edge: center load + uniform load
Two spheres in contact 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: point load: horizontal: on girder right half
Beam under bending: with held ends: left end fixed: right end free: 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 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 fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post
Circular flat flanges without hubs: lap joint: 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 sliding: right end fixed: point load: on girder