xcalcs
Search results
Your search for " area " returned the following sheets:
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
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform load: per unit length of arch: horizontal
Circular arch: uniform section: end A: pinned: end B: horiz.guide: 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: point load: vertical: 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 left post
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform load: radial
Beam under bending: with axial compression: left end fixed: right end free: concentrated moment
Circular arch: uniform section: end A: fixed: end B: horiz.guide: uniform load: per unit horizontal projection: vertical
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
Beam under bending: with axial compression: left end supported: right end guided: concentrated moment
Beam under bending: with axial tension: left end fixed: right end free: distributed load
Beam under bending: with axial tension: 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 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
Beam under bending: with axial compression: left end fixed: right end fixed: concentrated load
Circular arch: uniform section: end A: pinned: end B: inclined slide: concentrated load: radial
Circular arch: uniform section: end A: fixed: end B: fixed: uniform load: per unit vertical projection: horizontal
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
Beam under bending: with axial tension: left end supported: right end supported: 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 girder right half
Beam under bending: with axial compression: left end fixed: right end fixed: applied vertical displacement
Properties of plane area: Standard beams with parallel-faced flanges: IPE, HE and others: longitudinally cut beam
Circular arch: uniform section: end A: pinned: end B: horiz.guide: combined loads
Beam under bending+shear: left end supported: right end supported: combined loads
Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: combined loads
Circular arch: uniform section: end A: fixed: end B: vertical guide: 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
Circular arch: uniform section: end A: fixed: end B: fixed: combined loads
Circular arch: uniform section: end A: fixed: end B: inclined guide: uniform load: radial
Circular arch: uniform section: end A: pinned: end B: pinned: uniform load: per unit horizontal projection: vertical
Cylindrical vessel: horizontal: with two ellipsoidal heads: filled volume: as a function of content height
Beam under bending: with axial compression: left end fixed: right end supported: applied angular displacement
Circular arch: uniform section: end A: pinned: end B: horiz.guide: uniform load: per unit horizontal projection: vertical
Beam under bending: with axial tension: left end fixed: right end free: combined loads
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
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: concentrated load: tangential
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
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
Circular arch: uniform section: end A: pinned: end B: horiz.guide: distributed load: vertical: partial
Circular arch: uniform section: end A: fixed: end B: fixed: uniform load: per unit length of arch: vertical
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: distributed load: radial
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
Circular arch: uniform section: end A: pinned: end B: inclined guide: concentrated load: horizontal
User defined section: by means of a pixel map or image
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform load: per unit vertical projection: horizontal
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base supported: top supported
Circular arch: uniform section: end A: pinned: end B: pinned: concentrated load: tangential
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
Circular arch: uniform section: end A: pinned: end B: horiz.slide: concentrated load: horizontal
Circular arch: uniform section: end A: fixed: end B: pinned: combined loads
Circular arch: uniform section: end A: pinned: end B: inclined guide: concentrated moment
Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: uniform temperature change
Circular arch: uniform section: end A: fixed: end B: inclined guide: uniform load: per unit length of arch: horizontal
Circular arch: uniform section: end A: fixed: end B: horiz.guide: uniform load: tangential
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
Circular arch: uniform section: end A: fixed: end B: horiz.guide: combined loads
Circular arch: uniform section: end A: fixed: end B: fixed: concentrated load: horizontal
Cylindrical vessel: vertical: with two hemispherical heads: filled volume: as a function of content height
Circular arch: uniform section: end A: pinned: end B: horiz.slide: concentrated load: vertical
Circular arch: uniform section: end A: pinned: end B: inclined guide: uniform load: per unit length of arch: vertical
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
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
Circular arch: uniform section: end A: pinned: end B: pinned: uniform load: tangential
Elastic stability of a beam-column: prismatic: 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: 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
Beam under bending: with axial compression: left end fixed: right end free: uniform load
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform temperature change
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
Beam under bending: with axial tension: left end fixed: right end guided: distributed load
Small deflections of rectangular plates: 4 simply supported sides: distributed load: over a partial rectangular area
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 axial tension: left end supported: right end guided: combined loads
Circular arch: uniform section: end A: fixed: end B: pinned: distributed load: tangential
Beam under bending: with held ends: left end fixed: right end guided: uniform load
Circular arch: uniform section: end A: fixed: end B: horiz.slide: combined loads
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform temperature change
Circular arch: uniform section: end A: fixed: end B: vertical guide: concentrated load: vertical
Circular arch: uniform section: end A: pinned: end B: inclined guide: uniform load: per unit length of arch: horizontal
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
Beam under bending+shear: left end fixed: right end free: combined loads
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
Circular arch: uniform section: end A: fixed: end B: free: 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: 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
Circular arch: uniform section: end A: fixed: end B: horiz.guide: uniform load: per unit length of arch: horizontal
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
Circular arch: uniform section: end A: fixed: end B: pinned: uniform load: radial
Circular ring beam: supported at bottom: 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 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
Circular arch: uniform section: end A: fixed: end B: vertical slide: uniform temperature change
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform load: per unit vertical projection: horizontal
Circular arch: uniform section: end A: pinned: end B: horiz.guide: uniform temperature gradient: across depth
Small deflections of rectangular plates: 2 opposite sides clamped, 2 free: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: fixed: end B: pinned: uniform load: per unit horizontal projection: vertical
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
Circular arch: uniform section: end A: fixed: end B: free: uniform load: radial
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform temperature gradient: across depth
Circular arch: uniform section: end A: fixed: end B: vertical slide: distributed load: vertical: partial
Circular arch: uniform section: end A: pinned: end B: horiz.slide: distributed load: vertical: partial
Beam under bending: with held ends: left end fixed: right end supported: applied angular displacement
Circular arch: uniform section: end A: pinned: end B: pinned: concentrated moment
Beam under bending: with axial compression: 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 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
Beam under bending+shear: left end fixed: right end free: uniform load
Circular arch: uniform section: end A: pinned: end B: inclined slide: uniform load: per unit vertical projection: horizontal
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
Circular arch: uniform section: end A: pinned: end B: horiz.guide: uniform load: per unit length of arch: horizontal
Cylindrical vessel: horizontal: with two hemispherical heads: filled volume: as a function of content height
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
Circular arch: uniform section: end A: pinned: end B: inclined guide: hydrostatic load
Beam under bending: with axial tension: left end supported: right end supported: concentrated moment
Circular arch: uniform section: end A: fixed: end B: pinned: uniform load: per unit length of arch: horizontal
Circular arch: uniform section: end A: fixed: end B: inclined slide: concentrated load: vertical
Circular arch: uniform section: end A: fixed: end B: vertical slide: concentrated load: vertical
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform temperature gradient: across depth
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
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform load: per unit horizontal projection: vertical
Circular arch: uniform section: end A: fixed: end B: free: concentrated moment
Circular arch: uniform section: end A: fixed: end B: inclined slide: combined loads
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform load: per unit horizontal projection: vertical
Circular arch: uniform section: end A: fixed: end B: fixed: distributed load: radial
Small deflections of rectangular plates: bending + shear: 4 simply supported sides: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: pinned: end B: horiz.guide: concentrated moment
Portal frame: vertical left post: horizontal 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: point load: vertical: on girder left half
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform load: per unit length of arch: horizontal
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
Circular arch: uniform section: end A: fixed: end B: fixed: uniform temperature gradient: across depth
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform load: per unit length of arch: vertical
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
Small deflections of rectangular plates: 1 clamped side, 3 free: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: fixed: end B: inclined guide: uniform load: per unit length of arch: vertical
Circular arch: uniform section: end A: fixed: end B: horiz.slide: concentrated load: vertical
Sphere in contact with a flat plate under load: Hertz's theory
Circular arch: uniform section: end A: fixed: end B: horiz.guide: uniform load: per unit vertical projection: horizontal: on left half arch
Circular arch: uniform section: end A: pinned: end B: inclined slide: uniform load: radial
Circular arch: uniform section: end A: pinned: end B: inclined guide: 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: point load: horizontal: on girder left half
Beam under bending: with held ends: left end fixed: right end free: concentrated moment
Circular arch: uniform section: end A: fixed: end B: free: uniform load: per unit length of arch: horizontal
Beam under bending: with axial compression: left end fixed: right end fixed: concentrated moment
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: distributed load: vertical: partial
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: uniform temperature change
Beam under bending: with held ends: left end fixed: right end fixed: applied angular displacement
Circular arch: uniform section: end A: pinned: end B: horiz.slide: concentrated load: radial
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
Beam under bending: with axial compression: left end fixed: right end free: temperature gradient: across depth: linearly varying
Circular flat flanges without hubs: loose, welded: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction
Small deflections of rectangular plates: 4 clamped sides: distributed load: linearly varying: along side a: starting at x0
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: combined loads
Beam under bending: with axial compression: left end supported: right end supported: concentrated moment
Small deflections of rectangular plates: 4 simply supported sides: distributed load: linearly varying: along side a: starting at x0
Circular arch: uniform section: end A: fixed: end B: inclined guide: distributed load: radial
Beam under bending: with held ends: left end supported: right end guided: concentrated moment
Circular arch: uniform section: end A: fixed: end B: horiz.guide: uniform load: per unit length of arch: vertical
Circular arch: uniform section: end A: pinned: end B: horiz.slide: distributed load: tangential
Beam under bending: with axial compression: left end fixed: right end guided: uniform load
Beam under bending: with axial tension: left end fixed: right end fixed: temperature gradient: across depth: linearly varying
Full face flanges with soft ring type gaskets: external pressure
Circular arch: uniform section: end A: fixed: end B: free: uniform temperature gradient: across depth
Small deflections of rectangular plates: 4 free sides: supported at 4 corners: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: fixed: end B: inclined guide: concentrated moment
Circular arch: uniform section: end A: pinned: end B: pinned: uniform load: per unit length of arch: vertical
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
Beam under bending: with held ends: left end supported: right end supported: temperature gradient: across depth: linearly varying
Circular arch: uniform section: end A: fixed: end B: inclined guide: uniform load: per unit horizontal projection: vertical
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
Circular ring beam: supported at bottom: 2 vertical loads
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: point load: on girder
Circular arch: uniform section: end A: fixed: end B: vertical guide: distributed load: tangential
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: 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
Circular arch: uniform section: end A: fixed: end B: horiz.slide: distributed load: tangential
Circular arch: uniform section: end A: pinned: end B: inclined slide: concentrated load: tangential
Circular arch: uniform section: end A: fixed: end B: pinned: concentrated moment
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform temperature gradient: across depth
Beam under bending+shear: left end supported: right end supported: point 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
Circular arch: uniform section: end A: fixed: end B: horiz.guide: distributed load: tangential
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
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
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform load: tangential
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
Beam under bending+shear: left end supported: right end guided: distributed load
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform load: per unit horizontal projection: vertical
Circular arch: uniform section: end A: pinned: end B: pinned: uniform load: per unit vertical projection: horizontal: on left half arch
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform load: radial
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
Beam under bending+shear: left end supported: right end guided: 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: 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
Beam under bending: with axial compression: left end fixed: right end free: 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 guided
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
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
Properties of plane area: hollow structural sections: round
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: point load: on girder
Cylindrical vessel: horizontal: with two torispherical heads: filled volume: as a function of content height
Circular arch: uniform section: end A: fixed: end B: horiz.guide: 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 supported: temperature gradient: across depth: linearly varying
Beam under bending+shear: left end fixed: right end supported: distributed load
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: distributed load: tangential
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+shear: left end fixed: right end guided: point load
Small deflections of rectangular plates: 3 supported sides, 1 clamped: distributed load: linearly varying: along side a: starting at x0
Beam under bending: with axial tension: left end fixed: right end guided: concentrated load
Circular arch: uniform section: end A: fixed: end B: fixed: uniform load: per unit horizontal projection: vertical
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: 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
Circular arch: uniform section: end A: fixed: end B: fixed: uniform temperature change
Small deflections of rectangular plates: 2 simply supported opposite sides and 2 free: distributed load: over a partial rectangular area
Beam under bending: with axial tension: left end fixed: right end guided: 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 arch: uniform section: end A: fixed: end B: vertical slide: uniform load: per unit horizontal projection: vertical
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
Circular arch: uniform section: end A: fixed: end B: inclined guide: hydrostatic load
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform load: per unit vertical projection: horizontal: on left half arch
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
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform load: tangential
Cylindrical vessel: vertical: with two torispherical heads: filled volume: as a function of content height
Circular arch: uniform section: end A: pinned: end B: inclined guide: uniform load: tangential
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
Circular arch: uniform section: end A: pinned: end B: horiz.guide: distributed load: radial
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform load: tangential
Spheres in contact: with a grooved outer ring: under load: Hertz's theory
Beam under bending: with axial tension: left end fixed: right end supported: concentrated load
Beam under bending+shear: left end supported: right end supported: distributed load
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform load: per unit length of arch: horizontal
Two cylinders in contact under load: axes at right angles: Hertz's theory
Circular arch: uniform section: end A: fixed: end B: fixed: distributed load: vertical: partial
Beam under bending: with axial tension: left end supported: right end supported: concentrated load
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
Circular arch: uniform section: end A: pinned: end B: horiz.guide: uniform load: per unit vertical projection: horizontal
Beam under bending: with axial compression: left end fixed: right end free: applied angular displacement
Beam under bending: with axial tension: left end supported: right end supported: 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 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
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform temperature change
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform load: radial
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
Circular arch: uniform section: end A: fixed: end B: pinned: uniform temperature gradient: across depth
Beam under bending: with axial compression: left end supported: right end guided: applied angular displacement
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: 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
Circular arch: uniform section: end A: pinned: end B: horiz.guide: concentrated load: radial
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
Circular arch: uniform section: end A: fixed: end B: pinned: distributed load: radial
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform temperature change
Beam under bending: with axial compression: left end fixed: right end guided: temperature gradient: across depth: linearly varying
Circular arch: uniform section: end A: pinned: end B: inclined slide: uniform load: per unit vertical projection: horizontal: on left half arch
Beam under bending: with axial tension: left end fixed: right end fixed: applied angular displacement
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
Beam under bending: with held ends: left end fixed: right end supported: distributed 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: 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
Beam under bending: with axial compression: left end supported: right end supported: temperature gradient: across depth: linearly varying
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 arch: uniform section: end A: pinned: end B: inclined guide: uniform load: per unit horizontal projection: vertical
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
Circular arch: uniform section: end A: pinned: end B: pinned: uniform load: radial
Properties of plane area: Standard channels: with tapered flanges: two beams face-to-face
Circular arch: uniform section: end A: fixed: end B: vertical slide: concentrated load: radial
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
Circular arch: uniform section: end A: pinned: end B: inclined guide: distributed load: radial
Circular arch: uniform section: end A: fixed: end B: horiz.guide: concentrated load: vertical
Circular arch: uniform section: end A: fixed: end B: inclined guide: concentrated load: tangential
Circular arch: uniform section: end A: fixed: end B: inclined guide: uniform load: tangential
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
Circular arch: uniform section: end A: pinned: end B: horiz.slide: hydrostatic load
Circular arch: uniform section: end A: pinned: end B: horiz.slide: combined loads
Beam under bending: with axial compression: left end fixed: right end guided: 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 right post
Beam under bending: with held ends: left end supported: right end guided: distributed load
Beam under bending: with axial tension: left end supported: right end supported: applied angular displacement
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
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: concentrated load: vertical
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: 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 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
Circular arch: uniform section: end A: pinned: end B: pinned: distributed load: tangential
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
Beam under bending: with axial tension: left end fixed: right end supported: concentrated moment
Beam under bending: with axial compression: left end fixed: right end free: combined loads
Beam under bending: with axial compression: left end fixed: right end fixed: distributed load
Beam under bending+shear: left end supported: right end guided: point load
Circular arch: uniform section: end A: fixed: end B: free: concentrated load: radial
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: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: uniform load: on girder
Small deflections of rectangular plates: 1 clamped side, 3 free: point load: over a partial rectangular area
Small deflections of rectangular plates: 1 clamped side, 2 supported(adjacent) and 1 free: 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 fixed: right end fixed: supports at same elevation: point load: horizontal: on girder
Small deflections of rectangular plates: 3 supported sides, 1 clamped: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: pinned: end B: inclined slide: 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: uniform load: horizontal: on right post
Beam under bending: with held ends: left end fixed: right end fixed: applied vertical displacement
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
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
Circular arch: uniform section: end A: fixed: end B: fixed: uniform load: per unit vertical projection: horizontal: on left half arch
Small deflections of rectangular plates: 3 supported sides, 1 free: distributed load: over a partial rectangular area
Beam under bending+shear: left end fixed: right end guided: combined loads
Circular arch: uniform section: end A: fixed: end B: horiz.guide: hydrostatic load
Beam under bending: with axial compression: left end supported: right end supported: applied vertical displacement
Sections derived from elliptical shapes
Portal frame: vertical left post: sloped girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads
Circular arch: uniform section: end A: pinned: end B: inclined guide: concentrated load: radial
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
Circular arch: uniform section: end A: fixed: end B: inclined slide: distributed load: radial
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
Beam under bending: with axial tension: left end fixed: right end guided: temperature gradient: across depth: linearly varying
Beam under bending: with held ends: left end fixed: right end supported: concentrated moment
Circular arch: uniform section: end A: pinned: end B: inclined guide: uniform load: per unit vertical projection: horizontal: on left half arch
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 axial compression: left end fixed: right end supported: applied vertical displacement
Circular arch: uniform section: end A: fixed: end B: horiz.guide: uniform temperature gradient: across depth
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
Circular arch: uniform section: end A: pinned: end B: inclined slide: uniform load: tangential
Beam under bending+shear: left end supported: right end guided: uniform load
Beam under bending: with held ends: left end supported: right end supported: concentrated moment
Beam under bending: with axial compression: left end fixed: right end fixed: uniform load
Beam under bending: with axial compression: left end fixed: right end guided: applied angular displacement
Circular arch: uniform section: end A: fixed: end B: inclined guide: concentrated load: radial
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
Beam under bending+shear: left end fixed: right end guided: distributed load
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform load: per unit vertical projection: horizontal
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform load: per unit vertical projection: horizontal: on left half arch
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
Circular arch: uniform section: end A: fixed: end B: pinned: concentrated load: vertical
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform temperature gradient: across depth
Circular arch: uniform section: end A: fixed: end B: vertical guide: concentrated moment
Circular arch: uniform section: end A: pinned: end B: horiz.guide: uniform load: radial
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
Circular arch: uniform section: end A: fixed: end B: horiz.guide: distributed load: vertical: partial
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
Standard beams with parallel-faced flanges
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
Circular arch: uniform section: end A: fixed: end B: vertical guide: hydrostatic load
Beam under bending+shear: left end supported: right end supported: uniform 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
Circular arch: uniform section: end A: fixed: end B: fixed: uniform load: radial
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
Circular arch: uniform section: end A: fixed: end B: pinned: distributed load: vertical: partial
Beam under bending+shear: left end fixed: right end free: point load
Beam under bending: with axial tension: left end fixed: right end free: uniform 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
Beam under bending: with axial compression: left end fixed: right end supported: uniform load
Circular arch: uniform section: end A: fixed: end B: inclined slide: distributed load: tangential
Circular arch: uniform section: end A: fixed: end B: vertical slide: distributed load: radial
Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads
Circular arch: uniform section: end A: pinned: end B: inclined slide: 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: distributed partial load: linearly varying: horizontal: on left post
Circular arch: uniform section: end A: fixed: end B: horiz.slide: distributed load: vertical: partial
Circular arch: uniform section: end A: fixed: end B: horiz.slide: distributed load: radial
Beam under bending: with axial tension: left end supported: right end guided: uniform load
Small deflections of rectangular plates: 2 adjacent supported sides, 2 free: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: fixed: end B: vertical slide: combined loads
Properties of plane area: hollow structural sections: elliptical
Beam under bending: with axial tension: left end fixed: right end supported: combined loads
Beam under bending: with axial compression: left end supported: right end supported: applied angular displacement
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform temperature change
Beam under bending+shear: left end fixed: right end supported: uniform load
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform load: per unit length of arch: vertical
Circular arch: uniform section: end A: fixed: end B: pinned: concentrated load: horizontal
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
Circular arch: uniform section: end A: fixed: end B: vertical slide: distributed load: tangential
Circular arch: uniform section: end A: fixed: end B: free: distributed load: vertical: partial
Beam under bending: with axial compression: left end fixed: right end free: distributed 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
Circular arch: uniform section: end A: pinned: end B: horiz.slide: concentrated moment
Cylindrical vessel: vertical: with two ellipsoidal heads: filled volume: as a function of content height
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 axial compression: left end supported: right end guided: 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: vertical: on girder left half
Design rules for clamp connections: clamping faces parallel
Small deflections of rectangular plates: 3 supported sides, 1 free: distributed load linearly varying along side a: starting at x0
Circular arch: uniform section: end A: fixed: end B: pinned: uniform load: per unit vertical projection: horizontal: on left half arch
Circular arch: uniform section: end A: pinned: end B: horiz.guide: uniform load: tangential
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: combined loads
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform temperature change
Beam under bending: with axial tension: left end fixed: right end supported: applied vertical displacement
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: point load: on girder
Circular arch: uniform section: end A: fixed: end B: vertical slide: concentrated load: tangential
Small deflections of rectangular plates: 1 clamped side, 3 free: distributed load linearly varying along side a: starting at x0
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
Circular arch: uniform section: end A: fixed: end B: inclined guide: combined loads
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
Circular arch: uniform section: end A: fixed: end B: vertical slide: concentrated load: horizontal
Beam under bending: with axial tension: left end fixed: right end free: concentrated load
Beam under bending: with axial compression: left end supported: right end guided: uniform 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
Circular arch: uniform section: end A: fixed: end B: vertical guide: distributed load: vertical: partial
Circular arch: uniform section: end A: pinned: end B: 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: vertical: on girder right half
Sections derived from circular shape
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
Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes
Two spheres in contact under load: Hertz's theory
Circular arch: uniform section: end A: pinned: end B: pinned: uniform load: per unit length of arch: horizontal
Beam under bending: with axial tension: left end fixed: right end guided: applied angular displacement
Beam under bending: with axial compression: left end supported: right end supported: combined loads
Beam under bending: with axial compression: left end fixed: right end supported: distributed load
Circular arch: uniform section: end A: fixed: end B: pinned: concentrated load: tangential
Circular arch: uniform section: end A: fixed: end B: free: uniform load: per unit vertical projection: horizontal: on left half arch
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
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
Beam under bending: with axial tension: left end supported: right end supported: combined loads
Portal frame: vertical left post: symmetrically gabled girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads
Circular arch: uniform section: end A: fixed: end B: horiz.slide: concentrated moment
Circular arch: uniform section: end A: fixed: end B: vertical slide: concentrated moment
Circular arch: uniform section: end A: fixed: end B: horiz.guide: concentrated load: tangential
Circular arch: uniform section: end A: fixed: end B: horiz.slide: concentrated load: tangential
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
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
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: concentrated load: horizontal
Beam under bending: with axial tension: left end fixed: right end fixed: concentrated moment
Properties of plane area: hollow structural sections: rectangular
Circular arch: uniform section: end A: pinned: end B: horiz.guide: concentrated load: vertical
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
Properties of plane area: Standard channels: with tapered flanges
Circular arch: uniform section: end A: fixed: end B: vertical slide: uniform load: per unit length of arch: vertical
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
Circular arch: uniform section: end A: pinned: end B: inclined slide: hydrostatic 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 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
Circular arch: uniform section: end A: pinned: end B: pinned: distributed load: radial
Circular arch: uniform section: end A: fixed: end B: horiz.slide: uniform load: per unit vertical projection: horizontal
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: combined loads
Circular arch: uniform section: end A: fixed: end B: vertical slide: uniform load: per unit vertical projection: horizontal
Cylinder in contact on a flat plate under load: Hertz's theory
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 load: vertical: on girder left half
Circular arch: uniform section: end A: pinned: end B: pinned: concentrated load: vertical
Circular arch: uniform section: end A: fixed: end B: inclined slide: concentrated load: radial
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
Circular ring beam: supported at bottom: loaded by uniform vertical 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: point load: vertical: on girder right half
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform load: tangential
Beam under bending: with axial compression: left end supported: right end guided: concentrated load
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base supported: top supported
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform load: per unit vertical projection: horizontal: on left half arch
Circular arch: uniform section: end A: pinned: end B: inclined guide: concentrated load: vertical
Circular arch: uniform section: end A: fixed: end B: vertical guide: concentrated load: tangential
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
Beam under bending+shear: left end fixed: right end fixed: combined loads
Circular arch: uniform section: end A: pinned: end B: pinned: uniform temperature gradient: across depth
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
Beam under bending: with axial tension: 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 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
Beam under bending: with axial compression: left end fixed: right end supported: temperature gradient: across depth: linearly varying
Circular arch: uniform section: end A: fixed: end B: fixed: 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: 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 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
Circular arch: uniform section: end A: pinned: end B: pinned: uniform temperature change
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
Circular arch: uniform section: end A: fixed: end B: inclined guide: uniform temperature gradient: across depth
Circular arch: uniform section: end A: fixed: end B: fixed: distributed load: tangential
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
Circular arch: uniform section: end A: pinned: end B: inclined slide: uniform temperature gradient: across depth
Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end fixed: combined loads
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
Circular arch: uniform section: end A: pinned: end B: inclined slide: uniform load: per unit length of arch: horizontal
Properties of plane area: Standard channels: with parallel faced flanges
Beam under bending: with axial tension: left end fixed: right end fixed: uniform 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
Circular arch: uniform section: end A: fixed: end B: inclined guide: concentrated load: horizontal
Small deflections of rectangular plates: 2 facing sides clamped, 2 supported: distributed load: over a partial rectangular area
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
Circular arch: uniform section: end A: fixed: end B: pinned: uniform load: per unit vertical projection: horizontal
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end fixed: uniform load: on post
Beam under bending: with axial tension: left end fixed: right end free: concentrated moment
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform temperature gradient: across depth
Cylindrical vessel: vertical: with two spherically dished heads: filled volume: as a function of content height
Standard beams with tapered flanges
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
Small deflections of rectangular plates: 2 adjacent clamped sides, 2 free: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: pinned: end B: pinned: uniform load: per unit vertical projection: horizontal
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
Circular arch: uniform section: end A: pinned: end B: inclined guide: uniform load: per unit vertical projection: horizontal
Circular arch: uniform section: end A: fixed: end B: inclined slide: hydrostatic load
Circular arch: uniform section: end A: fixed: end B: free: concentrated load: vertical
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
Small deflections of rectangular plates: 3 clamped sides, 1 free: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: pinned: end B: inclined slide: uniform load: per unit length of arch: vertical
Beam under bending: with held ends: left end fixed: right end fixed: uniform load
Circular arch: uniform section: end A: fixed: end B: vertical slide: uniform load: radial
Beam under bending: with axial compression: left end fixed: right end guided: concentrated moment
Beam under bending: with axial tension: left end fixed: right end supported: distributed 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
Circular arch: uniform section: end A: pinned: end B: inclined slide: distributed load: vertical: partial
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
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
Beam under bending: with axial tension: left end supported: right end supported: applied vertical displacement
Small deflections of rectangular plates: 1 clamped side, 2 supported and 1 free: distributed load: over a partial rectangular area
Beam under bending: with axial compression: 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 fixed: uniform temperature change
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform load: per unit vertical projection: horizontal: on left half arch
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: point load: on post
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end fixed: uniform load: on girder
Small deflections of rectangular plates: 2 opposite sides clamped, 2 free: 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 pinned: right end fixed: supports at same elevation: uniform load: horizontal: on girder left half
Circular arch: uniform section: end A: fixed: end B: horiz.guide: distributed load: radial
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform load: per unit length of arch: horizontal
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
Circular arch: uniform section: end A: fixed: end B: fixed: concentrated load: tangential
Beam under bending: with axial tension: left end fixed: right end guided: 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 girder
Circular arch: uniform section: end A: fixed: end B: inclined slide: concentrated load: horizontal
Beam under bending: with axial tension: left end fixed: right end fixed: concentrated load
Beam under bending: with axial tension: left end supported: right end guided: concentrated load
Beam under bending: with axial compression: left end supported: right end supported: uniform load
Beam under bending+shear: left end fixed: right end free: distributed load
Circular arch: uniform section: end A: pinned: end B: horiz.guide: uniform load: per unit vertical projection: horizontal: on left half arch
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top free
Beam under bending+shear: left end fixed: right end fixed: point 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: vertical: on girder
Circular flat flanges without hubs: loose, welded: to internal pressure: gasket laying inside inner edge of bolt holes
Properties of plane area: hollow structural sections: square
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 arch: uniform section: end A: fixed: end B: inclined guide: 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: 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
Small deflections of rectangular plates: 3 clamped sides, 1 supported: 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 fixed: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post
Circular arch: uniform section: end A: pinned: end B: inclined guide: distributed load: tangential
Circular arch: uniform section: end A: fixed: end B: free: uniform load: tangential
Beam under bending: with axial tension: left end supported: right end guided: 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
Small deflections of rectangular plates: 2 facing sides clamped, 2 supported: 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 pinned: right end fixed: supports at same elevation: distributed partial load: linearly varying: horizontal: on left post
Circular arch: uniform section: end A: pinned: end B: pinned: concentrated load: horizontal
Circular arch: uniform section: end A: pinned: end B: horiz.slide: distributed load: radial
Circular arch: uniform section: end A: pinned: end B: horiz.guide: concentrated load: tangential
Beam under bending: with axial tension: left end fixed: right end supported: uniform load
Circular ring beam: supported at bottom: load at top
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
Circular arch: uniform section: end A: fixed: end B: vertical slide: hydrostatic load
Circular arch: uniform section: end A: fixed: end B: free: uniform load: per unit horizontal projection: vertical
Circular arch: uniform section: end A: fixed: end B: inclined guide: concentrated load: vertical
Design rules for clamp connections: clamping faces parallel: hub calculated as loose flange
Small deflections of rectangular plates: 2 simply supported opposite sides and 2 free: distributed load linearly varying along side a: starting at x0
Circular arch: uniform section: end A: fixed: end B: free: concentrated load: tangential
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform load: radial
Circular arch: uniform section: end A: fixed: end B: fixed: hydrostatic 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 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
Properties of plane area: Standard channels: with tapered flanges: two beams full penetration welded to form a closed section
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: concentrated load: radial
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
Beam under bending: with axial compression: left end fixed: right end supported: concentrated moment
Beam under bending: with axial compression: left end supported: right end guided: distributed load
Properties of plane area: Standard channels: with tapered flanges: two beams back-to-back
Circular arch: uniform section: end A: fixed: end B: inclined guide: distributed load: tangential
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
Circular ring beam: supported at bottom: 2 tangential 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
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
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform load: per unit horizontal projection: vertical
Circular arch: uniform section: end A: fixed: end B: free: distributed load: tangential
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top supported
Circular arch: uniform section: end A: fixed: end B: inclined guide: uniform load: per unit vertical projection: horizontal: on left half arch
Circular arch: uniform section: end A: pinned: end B: inclined slide: concentrated load: vertical
Beam under bending: with held ends: left end supported: right end guided: applied angular displacement
Beam under bending+shear: left end fixed: right end guided: uniform load
Circular arch: uniform section: end A: fixed: end B: fixed: uniform load: tangential
Circular arch: uniform section: end A: pinned: end B: horiz.guide: uniform load: per unit length of arch: vertical
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: uniform load: per unit length of arch: vertical
Circular arch: uniform section: end A: fixed: end B: vertical guide: concentrated load: radial
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
Beam under bending: with axial tension: left end fixed: right end free: temperature gradient: across depth: linearly varying
Small deflections of rectangular plates: 2 adjacent clamped sides, 2 free: distributed load linearly varying along side a: starting at x0
Beam under bending+shear: 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 fixed: right end pinned: supports at same elevation: point load: horizontal: on right post
Circular arch: uniform section: end A: pinned: end B: inclined guide: distributed load: vertical: partial
Circular ring beam: supported at bottom: 2 radial 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 left half
Circular arch: uniform section: end A: fixed: end B: vertical slide: uniform load: per unit length of arch: horizontal
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end sliding: combined loads
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform load: per unit length of arch: horizontal
Circular arch: uniform section: end A: fixed: end B: pinned: uniform load: per unit length of arch: vertical
Circular arch: uniform section: end A: fixed: end B: horiz.guide: uniform load: radial
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
Circular arch: uniform section: end A: fixed: end B: free: distributed load: radial
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 fixed: uniform load: on girder
Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end fixed: right end pinned: uniform temperature change
Small deflections of rectangular plates: 4 clamped sides: distributed load: over a partial rectangular area
Circular arch: uniform section: end A: fixed: end B: horiz.guide: uniform load: per unit vertical projection: horizontal
Circular arch: uniform section: end A: fixed: end B: inclined slide: distributed load: vertical: partial
Circular arch: uniform section: end A: fixed: end B: pinned: hydrostatic load
Beam under bending: with axial tension: left end fixed: right end fixed: applied vertical displacement
Circular arch: uniform section: end A: fixed: end B: fixed: concentrated load: radial
Circular arch: uniform section: end A: fixed: end B: vertical slide: uniform temperature gradient: across depth
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end pinned: right end pinned: uniform temperature change
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform load: tangential
Circular arch: uniform section: end A: pinned: end B: inclined slide: distributed load: radial
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
Circular arch: uniform section: end A: pinned: end B: pinned: hydrostatic 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 left post
Small deflections of rectangular plates: 2 adjacent clamped sides, 2 supported: distributed load linearly varying along side a: starting at x0
Circular arch: uniform section: end A: pinned: end B: pinned: concentrated load: radial
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
Circular arch: uniform section: end A: fixed: end B: horiz.guide: concentrated moment
Circular arch: uniform section: end A: fixed: end B: free: hydrostatic load
Sections with quadrangular, rectangular or square shape
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
Small deflections of rectangular plates: 3 clamped sides, 1 supported: distributed load: over a partial rectangular area
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+shear: left end fixed: right end supported: point load
Beam under bending: with held ends: left end fixed: right end guided: concentrated load
Circular arch: uniform section: end A: fixed: end B: inclined slide: concentrated moment
Circular arch: uniform section: end A: pinned: end B: inclined guide: concentrated load: tangential
Beam under bending: with axial tension: left end supported: right end guided: temperature gradient: across depth: linearly varying
Circular arch: uniform section: end A: pinned: end B: inclined slide: combined loads
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
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
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform load: per unit vertical projection: horizontal: on left half arch
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
Beam under bending: with axial tension: left end supported: right end supported: distributed load
Circular arch: uniform section: end A: fixed: end B: free: combined loads
Circular ring beam: supported at bottom: 2 horizontal loads
Circular arch: uniform section: end A: fixed: end B: pinned: uniform temperature change
Beam under bending: with axial compression: 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 pinned: supports at same elevation: distributed partial load: linearly varying: vertical: on girder right half
Circular arch: uniform section: end A: fixed: end B: vertical slide: uniform load: tangential
Beam under bending: with axial tension: left end fixed: right end supported: applied angular displacement
Beam under bending: with axial compression: left end fixed: right end supported: combined loads
Small deflections of rectangular plates: 4 free sides: supported at 4 corners: distributed load linearly varying along side a: starting at x0
Circular arch: uniform section: end A: fixed: end B: horiz.slide: concentrated load: horizontal
Beam under bending: with held ends: left end fixed: right end fixed: concentrated load
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform load: radial
Beam under bending: with axial compression: left end fixed: right end fixed: temperature gradient: across depth: linearly varying
Circular flat flanges without hubs: lap joint: to internal pressure: gasket laying inside inner edge of bolt holes: with bolt spacing correction
Circular arch: uniform section: end A: pinned: end B: inclined guide: uniform temperature gradient: across depth
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
Circular arch: uniform section: end A: fixed: end B: vertical guide: concentrated load: horizontal
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
Beam under bending: with axial tension: left end fixed: right end fixed: distributed load
Circular arch: uniform section: end A: pinned: end B: horiz.slide: concentrated load: tangential
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
Circular arch: uniform section: end A: pinned: end B: inclined slide: uniform load: per unit horizontal projection: vertical
Beam under bending+shear: left end fixed: right end fixed: uniform load
Circular arch: uniform section: end A: pinned: end B: horiz.slide: uniform load: per unit vertical projection: horizontal
Circular arch: uniform section: end A: fixed: end B: pinned: concentrated load: radial
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
Circular arch: uniform section: end A: fixed: end B: inclined guide: distributed load: vertical: partial
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
Circular arch: uniform section: end A: pinned: end B: horiz.guide: distributed load: tangential
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: combined loads
One leg frame: vertical post: horizontal girder: under bending+shear+normal load: left end fixed: right end pinned: uniform temperature change
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top guided
Beam under bending: with axial tension: left end fixed: right end free: applied angular displacement
Circular arch: uniform section: end A: fixed: end B: inclined guide: uniform load: per unit vertical projection: horizontal
Small deflections of rectangular plates: 3 clamped sides, 1 free: distributed load linearly varying along side a: starting at x0
Small deflections of rectangular plates: 1 clamped side, 2 supported and 1 free: 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 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
Cylindrical vessel: horizontal: with two spherically dished heads: filled volume: as a function of content height
Circular arch: uniform section: end A: pinned: end B: inclined guide: uniform load: radial
Circular arch: uniform section: end A: fixed: end B: pinned: uniform load: tangential
Portal frame: vertical left post: horizontal girder: vertical right post: under bending+shear+normal load: left end pinned: right end pinned: combined loads
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: concentrated moment
Beam under bending: with axial tension: left end fixed: right end guided: uniform load
Beam under bending: with axial compression: left end supported: right end guided: temperature gradient: across depth: linearly varying
Beam under bending: with axial tension: left end fixed: right end fixed: combined loads
Beam under bending: with axial compression: left end supported: right end supported: distributed load
Beam under bending: with held ends: left end fixed: right end supported: applied vertical displacement
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
Circular arch: uniform section: end A: pinned: end B: horiz.guide: concentrated load: horizontal
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
Circular arch: uniform section: end A: fixed: end B: restrained against rotation only: hydrostatic 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 left half
Circular arch: uniform section: end A: pinned: end B: inclined slide: distributed load: tangential
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
Circular arch: uniform section: end A: pinned: end B: horiz.guide: hydrostatic load
Circular arch: uniform section: end A: pinned: end B: inclined slide: concentrated load: horizontal
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform load: per unit length of arch: vertical
Beam under bending: with axial compression: 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: 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
Circular arch: uniform section: end A: fixed: end B: horiz.guide: concentrated load: radial
Two cylinders in contact under load: parallel axes: Hertz's theory
Beam under bending: with axial compression: left end supported: right end supported: 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: 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
Circular arch: uniform section: end A: fixed: end B: free: uniform load: per unit length of arch: vertical
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
Small deflections of rectangular plates: 1 clamped side, 2 supported(adjacent) and 1 free: distributed load: over a partial rectangular area
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
Circular arch: uniform section: end A: fixed: end B: horiz.slide: hydrostatic 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
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
Circular arch: uniform section: end A: pinned: end B: pinned: distributed load: vertical: partial
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 axial tension: left end supported: right end guided: applied angular displacement
Circular arch: uniform section: end A: fixed: end B: horiz.guide: concentrated load: horizontal
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
Small deflections of rectangular plates: 2 adjacent clamped sides, 2 supported: distributed load: over a partial rectangular area
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
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
Circular arch: uniform section: end A: fixed: end B: free: concentrated load: horizontal
Circular arch: uniform section: end A: fixed: end B: vertical slide: uniform load: per unit vertical projection: horizontal: on left half arch
Properties of plane area: Standard Tee beams
Circular arch: uniform section: end A: fixed: end B: inclined slide: concentrated load: tangential
Beam under bending: with axial compression: left end fixed: right end guided: concentrated load
Circular arch: uniform section: end A: fixed: end B: fixed: uniform load: per unit length of arch: horizontal
Beam under bending+shear: left end fixed: right end supported: 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: vertical: on girder left half
Circular arch: uniform section: end A: fixed: end B: free: uniform load: per unit vertical projection: horizontal
Circular arch: uniform section: end A: fixed: end B: horiz.slide: concentrated load: radial
Circular arch: uniform section: end A: fixed: end B: vertical guide: distributed load: radial
Circular arch: uniform section: end A: pinned: end B: inclined guide: 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: distributed partial load: linearly varying: vertical: on girder right half
Circular arch: uniform section: end A: fixed: end B: fixed: concentrated load: vertical
Circular arch: uniform section: end A: fixed: end B: inclined slide: uniform load: per unit length of arch: vertical
Circular arch: uniform section: end A: fixed: end B: vertical guide: uniform load: per unit horizontal projection: vertical

 <-Forgotten?
Register
Random example
Library (1554)
Beams (527)
Cross sections (44)
Single beam (44)
Tapered (136)
Continuous (20)
Curved (67)
Large defo (18)
Bending+shear (24)
Bending + compression (45)
Bending + tension (45)
Held ends (39)
Elastic foundation (45)
Frames (239)
Arches (285)
Pipes (90)
Plates (299)
Vessels (69)
Stability (30)
Other (15)
Search
Info/Howto
Contact us
Register
Suggest a sheet
Technical support
Administrative
Who we are

If you continue to use this site, we will assume that you accept the use of cookies for statistical and user friendliness purposes. To know more. European Union Directive