Curved beam in bending: end A simply supported: end B supported and roll guided: distributed load
Supported-infinite beam: on elastic foundation: concentrated load
Curved beam in bending: end A supported and roll guided: end B supported and roll guided: uniform load
Standard angles: equal legs
Beam under simple bending: left end supported: right end supported: temperature gradient: across depth: linearly varying
Beam under bending: with held ends: left end fixed: right end free: applied angular displacement
Beam under bending: with axial compression: left end fixed: right end guided: concentrated moment
Beam under simple bending: left end fixed: right end supported: combined loads
Continuous beam: over 3 spans: in simple bending: concentrated moment
Fixed-infinite beam: on elastic foundation: point load
Beam under bending: with held ends: left end fixed: right end supported: applied angular displacement
Beam under simple bending: left end fixed: right end fixed: temperature gradient: across depth: linearly varying
Curved beam in bending: end A simply supported: end B supported and slope guided: concentrated bending moment
Continuous beam: over 4 spans: in simple bending: uniform load
Continuous beam: over 2 spans: in simple bending: concentrated moment
Beam under simple bending: large deflections: left end fixed: right end guided: distributed load
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 1st power of x: resistance modulus varying with the 1st power of x: linearly decreasing 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 1st power of x (n=1): under a single axial compressive load: base fixed: top fixed
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated load
Tapered simply supported beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: distributed load
Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top free
Tapered cantilever under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: distributed load
Beam under bending: with held ends: left end supported: right end guided: temperature gradient: across depth: linearly varying
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 2nd power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Tapered simply supported beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: uniform load
Supported-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Properties of plane area: Standard channels: with parallel faced flanges: two beams back-to-back
Tapered cantilever under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: distributed load
Beam under simple bending: left end fixed: right end guided: combined loads
Curved beam in bending: end A supported and roll guided: end B fixed: uniform load
Free-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Curved beam in bending: end A simply supported: end B supported and slope guided: concentrated twisting moment
Continuous beam: over 4 spans: in simple bending: point load
Beam under bending: with axial compression: left end fixed: right end supported: temperature gradient: across depth: linearly varying
Simply supported beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base fixed: top free
Beam under bending: with axial compression: left end supported: right end supported: combined loads
Fixed-fixed beam: on elastic foundation: point load
Beam under bending: with axial compression: left end fixed: right end free: temperature gradient: across depth: linearly varying
Beam under bending: with axial tension: left end supported: right end guided: temperature gradient: across depth: linearly varying
Guided-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: linearly decreasing load
Beam under bending: with axial compression: left end fixed: right end fixed: combined loads
Supported-fixed beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Beam under bending: with axial tension: left end fixed: right end free: applied angular displacement
Properties of plane area: Standard channels: with tapered flanges: two beams back-to-back
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated moment
Tapered fixed beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 4th power of x: resistance modulus varying with the 3rd power of x: uniform load
Beam under bending: with axial compression: left end fixed: right end guided: concentrated load
Guided-free beam: on elastic foundation: point load
Beam under bending: with axial compression: left end supported: right end guided: applied angular displacement
Continuous beam: over 3 spans: in simple bending: distributed load
Supported-fixed beam: on elastic foundation: concentrated load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: combined loads
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
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated load
Circular ring beam: supported at bottom: 2 tangential loads
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
Simply supported beam: on elastic foundation: point load
Tapered fixed beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Beam under simple bending: large deflections: left end fixed: right end guided: uniform load
Beam under bending: with axial tension: left end fixed: right end supported: applied angular displacement
Continuous beam: over 2 spans: in simple bending: distributed load
Beam under bending: with axial compression: left end supported: right end supported: applied angular displacement
Beam under bending: with axial tension: left end fixed: right end guided: combined loads
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated load
Curved beam in bending: end A supported and roll guided: end B fixed: concentrated twisting moment
Continuous beam: over 4 spans: in simple bending: distributed load
Beam under bending: with axial compression: left end fixed: right end fixed: applied angular displacement
Tapered fixed beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: linearly decreasing load
Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top guided
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 1st power of x: resistance modulus varying with the 1st power of x: 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 free
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Tapered fixed beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated moment
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
Beam under bending: with axial tension: left end fixed: right end fixed: temperature gradient: across depth: linearly varying
Properties of plane area: Standard channels: with tapered flanges: two beams face-to-face
Continuous beam: over 2 spans: in simple bending: point load
Beam under bending: with axial tension: left end fixed: right end supported: combined loads
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Beam under bending: with axial tension: left end supported: right end supported: temperature gradient: across depth: linearly varying
Tapered fixed beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: combined loads
Curved beam in bending: end A supported and roll guided: end B supported and roll guided: concentrated twisting moment
Beam under bending: with axial compression: left end fixed: right end guided: distributed load
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated moment
Semiinfinite beam: on elastic foundation: point load
Continuous beam: over 3 spans: in simple bending: point load
Beam under simple bending: left end fixed: right end supported: applied angular displacement
Curved beam in bending: end A simply supported: end B supported and roll guided: combined loads
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
Supported-guided beam: on elastic foundation: concentrated moment
Tapered simply supported beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: distributed load
Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top free
Tapered cantilever under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: distributed load
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: linearly decreasing load
Curved beam in bending: end A simply supported: end B supported and roll guided: concentrated load
Beam under bending: with held ends: left end fixed: right end fixed: temperature gradient: across depth: linearly varying
Curved beam in bending: end A supported and roll guided: end B fixed: concentrated bending moment
Tapered simply supported beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: distributed load
Beam under simple bending: left end fixed: right end free(cantilever): combined loads
Tapered cantilever under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: uniform load
Beam under bending: with held ends: left end supported: right end supported: temperature gradient: across depth: linearly varying
Fixed-free beam: on elastic foundation: point load
Continuous beam: over 3 spans: in simple bending: uniform load
Beam under bending: with axial compression: left end fixed: right end guided: uniform load
Tapered fixed beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated load
Beam under simple bending: left end supported: right end guided: temperature gradient: across depth: linearly varying
Curved beam in bending: end A supported and roll guided: end B supported and roll guided: concentrated bending moment
Properties of plane area: Standard channels: with parallel faced flanges: two beams face-to-face
Continuous beam: over 4 spans: in simple bending: concentrated moment
Continuous beam: over 2 spans: in simple bending: uniform load
Infinite beam: on elastic foundation: concentrated moment
Beam under simple bending: large deflections: left end fixed: right end guided: concentrated load
Curved beam in bending: end A simply supported: end B supported and slope guided: uniform load
Free-free beam: on elastic foundation: concentrated moment
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
Guided-guided beam: on elastic foundation: concentrated moment
Tapered fixed beam under simple bending: main inertia varying symmetrically with the 4th power of x: resistance modulus varying with the 3rd power of x: combined loads
Curved beam in bending: end A supported and roll guided: end B supported and slope guided: distributed load
Beam under bending: with axial tension: left end supported: right end guided: applied angular displacement
Beam under bending: with axial tension: left end fixed: right end guided: concentrated load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated load
Beam under bending: with held ends: left end fixed: right end guided: concentrated moment
Beam under bending: with axial compression: left end fixed: right end free: applied angular displacement
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top fixed
Curved beam in bending: end A fixed: end B fixed: distributed load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: combined loads
Beam under bending: with axial compression: left end fixed: right end supported: applied angular displacement
Guided-infinite beam: on elastic foundation: point load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated moment
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: uniform load
Curved beam in bending: end A simply supported: end B fixed: concentrated twisting moment
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top fixed
Tapered fixed beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated moment
Beam under bending: with axial tension: left end supported: right end supported: combined loads
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: linearly decreasing load
Guided-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Beam under bending+shear: left end fixed: right end guided: combined loads
Curved beam in bending: end A supported and slope guided: end B supported and slope guided: combined loads
Beam under bending: with axial tension: left end fixed: right end supported: temperature gradient: across depth: linearly varying
Tapered fixed beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: combined loads
Curved beam in bending: end A supported and slope guided: end B supported and slope guided: concentrated load
Circular ring beam: supported at bottom: 2 vertical loads
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated moment
Beam under bending: with axial tension: left end fixed: right end fixed: combined loads
Tapered fixed beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated moment
Beam under simple bending: 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
Tapered fixed beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: combined loads
Beam under bending: with axial tension: left end fixed: right end free: temperature gradient: across depth: linearly varying
Continuous beam: over 5 spans: in simple bending: point load
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated moment
Beam under simple bending: left end fixed: right end fixed: applied angular displacement
Fixed-guided beam: on elastic foundation: point load
Curved beam in bending: end A supported and slope guided: end B fixed: combined loads
Beam under bending+shear: left end fixed: right end guided: point load
Curved beam in bending: end A simply supported: end B fixed: concentrated bending moment
Tapered cantilever under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: uniform load
Tapered simply supported beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: uniform load
Curved beam in bending: end A supported and slope guided: end B fixed: concentrated load
Beam under bending: with held ends: left end fixed: right end supported: temperature gradient: across depth: linearly varying
Beam under simple bending: left end supported: right end supported: applied angular displacement
Supported-free beam: on elastic foundation: concentrated load
Curved beam in bending: end A free: end B fixed: distributed load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated load
Tapered simply supported beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: distributed load
Beam under bending: with held ends: left end fixed: right end free: temperature gradient: across depth: linearly varying
Tapered cantilever under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: uniform load
Supported-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Tapered fixed beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated load
Continuous beam: over 5 spans: in simple bending: uniform load
Beam under bending: with axial tension: left end fixed: right end guided: concentrated moment
Beam under bending: with held ends: left end fixed: right end guided: concentrated load
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top supported
Beam under bending: with held ends: left end supported: right end guided: applied angular displacement
Beam under simple bending: left end fixed: right end guided: distributed load
Tapered fixed beam under simple bending: main inertia varying symmetrically with the 1st power of x: resistance modulus varying with the 1st power of x: combined loads
Tapered fixed beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated load
Properties of plane area: Standard beams: parallel-faced flanges: two beams at specified distance
Fixed-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top supported
Tapered fixed beam under simple bending: main inertia varying symmetrically with the 2nd power of x: resistance modulus varying with the 1st power of x: combined loads
Tapered fixed beam under simple bending: main inertia varying symmetrically with the 3rd power of x: resistance modulus varying with the 2nd power of x: combined loads
Curved beam in bending: end A supported and slope guided: end B fixed: distributed load
Beam under simple bending: left end fixed: right end free: temperature gradient: across depth: linearly varying
Beam under bending: with held ends: left end supported: right end supported: applied angular displacement
Beam under bending: with axial tension: left end fixed: right end guided: uniform load
Continuous beam: over 5 spans: in simple bending: concentrated moment
Beam under simple bending: left end fixed: right end fixed: combined loads
Properties of plane area: Standard Tee beams
Beam under bending: with held ends: left end fixed: right end fixed: applied angular displacement
Curved beam in bending: end A free: end B fixed: combined loads
Beam under bending+shear: left end fixed: right end guided: distributed load
Beam under simple bending: left end fixed: right end supported: temperature gradient: across depth: linearly varying
Curved beam in bending: end A free: end B fixed: concentrated load
Properties of plane area: Standard beams: with parallel-faced flanges
Beam under simple bending: left end supported: right end supported: combined loads
Tapered fixed beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated load
Tapered cantilever under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: uniform load
Tapered simply supported beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: uniform load
Curved beam in bending: end A simply supported: end B fixed: uniform load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated load
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base supported: top supported
Tapered simply supported beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: uniform load
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 4th power of x: resistance modulus varying with the 3rd power of x: linearly decreasing load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated load
Tapered cantilever under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: distributed load
Beam under bending: with held ends: left end fixed: right end guided: distributed load
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base supported: top supported
Beam under simple bending: left end fixed: right end guided: concentrated load
Beam under simple bending: left end supported: right end guided: applied angular displacement
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated moment
Properties of plane area: Standard beams: with tapered flanges
Tapered fixed beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: combined loads
Curved beam in bending: end A fixed: end B fixed: concentrated load
Curved beam in bending: end A supported and roll guided: end B supported and slope guided: combined loads
Curved beam in bending: end A supported and roll guided: end B supported and slope guided: concentrated load
Beam under bending: with axial compression: left end fixed: right end fixed: temperature gradient: across depth: linearly varying
Curved beam in bending: end A fixed: end B fixed: combined loads
Beam under bending+shear: left end fixed: right end guided: uniform load
Properties of plane area: Standard beams with parallel-faced flanges: IPE, HE and others: longitudinally cut beam
Beam under bending: with axial tension: left end fixed: right end guided: distributed load
Beam under bending: with axial compression: left end supported: right end supported: temperature gradient: across depth: linearly varying
Beam under simple bending: left end fixed: right end guided: concentrated moment
Beam under bending: with axial compression: left end fixed: right end supported: combined loads
Tapered fixed beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated moment
Curved beam in bending: end A supported and slope guided: end B supported and slope guided: distributed load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: combined loads
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top free
Beam under bending: with held ends: left end fixed: right end guided: uniform load
Tapered fixed beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: linearly decreasing load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 2nd power of x: resistance modulus varying with the 1st power of x: uniform load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated moment
Beam under bending: with axial compression: left end fixed: right end guided: combined loads
Continuous beam: over 5 spans: in simple bending: distributed load
Beam under bending: with axial tension: left end supported: right end supported: applied angular displacement
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: combined loads
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top free
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated moment
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 1st power of x: resistance modulus varying with the 1st power of x: uniform load
Beam under bending: with axial tension: left end fixed: right end fixed: applied angular displacement
Curved beam in bending: end A fixed: end B fixed: concentrated twisting moment
Beam under simple bending: large deflections: left end supported: right end supported: distributed load
Curved beam in bending: end A free: end B fixed: concentrated bending moment
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 4th power of x: resistance modulus varying with the 3rd power of x: linearly decreasing load
Beam under bending: with held ends: left end fixed: right end supported: distributed load
Tapered fixed beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: uniform load
Beam under simple bending: left end fixed: right end fixed: applied vertical displacement
Curved beam in bending: end A supported and roll guided: end B supported and slope guided: concentrated twisting moment
Beam under simple bending: left end fixed: right end supported: concentrated load
Beam under simple bending: large deflections: left end fixed: right end fixed: distributed load
Beam under bending: with held ends: left end fixed: right end free: distributed load
Curved beam in bending: end A simply supported: end B fixed: distributed load
Beam under simple bending: left end fixed: right end free: concentrated load
Beam under simple bending: left end supported: right end supported: applied vertical displacement
Tapered fixed beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: uniform load
Tapered cantilever under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: distributed load
Tapered simply supported beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated load
Properties of plane area: Built up welded beams: double symmetric
Beam under bending+shear: left end fixed: right end supported: distributed load
Fixed-guided beam: on elastic foundation: concentrated moment
Beam under bending: with axial tension: left end fixed: right end free: uniform load
Beam under simple bending: left end fixed: right end guided: temperature gradient: across depth: linearly varying
Beam under bending: with axial compression: left end supported: right end supported: concentrated moment
Beam under bending: with axial compression: left end supported: right end guided: uniform load
Tapered cantilever under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated load
Supported-free beam: on elastic foundation: concentrated moment
Beam under bending: with axial tension: left end fixed: right end supported: uniform load
Curved beam in bending: end A supported and slope guided: end B fixed: uniform load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: uniform load
Beam under bending: with axial compression: left end fixed: right end fixed: concentrated moment
Beam under bending+shear: left end fixed: right end free: distributed load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: combined loads
Beam under simple bending: large deflections: left end supported: right end guided: concentrated load
Beam under bending: with axial compression: left end fixed: right end free: combined loads
Tapered fixed beam under simple bending: main inertia varying symmetrically with the 1st power of x: resistance modulus varying with the 1st power of x: uniform load
Beam under bending: with axial tension: left end supported: right end guided: combined loads
Beam under bending: with held ends: left end fixed: right end free: uniform load
Beam under simple bending: large deflections: left end fixed: right end fixed: uniform load
Beam under bending: with axial compression: left end supported: right end supported: concentrated load
Curved beam in bending: end A supported and roll guided: end B supported and slope guided: concentrated bending moment
Tapered simply supported beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: linearly decreasing load
Beam under bending: with held ends: left end fixed: right end supported: uniform load
Tapered fixed beam under simple bending: main inertia varying symmetrically with the 2nd power of x: resistance modulus varying with the 1st power of x: uniform load
Beam under bending: with axial compression: left end fixed: right end supported: applied vertical displacement
Curved beam in bending: end A supported and slope guided: end B supported and slope guided: uniform load
Curved beam in bending: end A fixed: end B fixed: concentrated bending moment
Beam under bending: with axial compression: left end fixed: right end fixed: concentrated load
Curved beam in bending: end A free: end B fixed: concentrated twisting moment
Beam under simple bending: large deflections: left end supported: right end supported: uniform load
Tapered cantilever under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated moment
Tapered simply supported beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated moment
Beam under bending+shear: left end fixed: right end free: uniform load
Beam under bending: with axial tension: left end fixed: right end supported: distributed load
Circular ring beam: supported at bottom: combined loads
Tapered cantilever under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: combined loads
Beam under simple bending: left end fixed: right end supported: concentrated moment
Beam under bending: with axial compression: left end supported: right end guided: distributed load
Tapered cantilever under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated moment
Guided-infinite beam: on elastic foundation: concentrated moment
Beam under simple bending: left end fixed: right end free: concentrated moment
Continuous beam: over 5 spans: in simple bending: combined loads
Beam under bending: with axial tension: left end fixed: right end free: distributed load
Tapered simply supported beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: combined loads
Beam under bending+shear: left end fixed: right end supported: uniform load
Tapered cantilever under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: combined loads
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated moment
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated moment
Beam under simple bending: left end fixed: right end supported: uniform load
Tapered simply supported beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: combined loads
Tapered cantilever under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated moment
Beam under bending: with axial compression: left end fixed: right end fixed: distributed load
Curved beam in bending: end A supported and slope guided: end B fixed: concentrated twisting moment
Beam under bending+shear: left end fixed: right end free: combined loads
Tapered simply supported beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated moment
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated moment
Beam under bending+shear: left end fixed: right end supported: combined loads
Tapered simply supported beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: combined loads
Tapered cantilever under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: combined loads
Beam under bending: with axial tension: left end fixed: right end guided: temperature gradient: across depth: linearly varying
Beam under simple bending: left end fixed: right end free(cantilever): uniform load
Tapered simply supported beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated moment
Beam under bending: with axial compression: left end supported: right end supported: distributed load
Beam under bending: with axial compression: left end supported: right end guided: concentrated load
Beam under bending: with axial compression: left end fixed: right end guided: applied angular displacement
Beam under bending: with held ends: left end fixed: right end free: concentrated moment
Beam under bending: with axial tension: left end supported: right end supported: applied vertical displacement
Beam under bending: with axial tension: left end fixed: right end free: concentrated load
Tapered fixed beam under simple bending: main inertia varying symmetrically with the 3rd power of x: resistance modulus varying with the 2nd power of x: uniform load
Beam under simple bending: large deflections: left end supported: right end guided: uniform load
Beam under bending: with axial tension: left end fixed: right end supported: concentrated load
Curved beam in bending: end A fixed: end B fixed: uniform load
Curved beam in bending: end A supported and slope guided: end B supported and slope guided: concentrated bending moment
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated load
Beam under bending: with axial tension: left end fixed: right end fixed: applied vertical displacement
Beam under bending: with held ends: left end fixed: right end supported: concentrated moment
Tapered cantilever under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: linearly decreasing load
Curved beam in bending: end A supported and roll guided: end B supported and slope guided: uniform load
Beam under simple bending: large deflections: left end fixed: right end fixed: concentrated load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 2nd power of x: resistance modulus varying with the 1st power of x: combined loads
Beam under bending: with axial compression: left end supported: right end guided: concentrated moment
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: uniform load
Beam under bending: with axial compression: left end supported: right end supported: uniform load
Beam under bending: with held ends: left end fixed: right end free: concentrated load
Beam under simple bending: left end fixed: right end free: distributed load
Beam under bending: with axial tension: left end fixed: right end free: concentrated moment
Beam under bending: with held ends: left end supported: right end supported: applied vertical displacement
Tapered cantilever under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated load
Tapered simply supported beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: concentrated load
Beam under bending: with axial compression: left end fixed: right end fixed: uniform load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: uniform load
Beam under simple bending: large deflections: left end supported: right end supported: concentrated load
Curved beam in bending: end A simply supported: end B fixed: combined loads
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 1st power of x: resistance modulus varying with the 1st power of x: combined loads
Beam under bending: with axial tension: left end fixed: right end supported: concentrated moment
Curved beam in bending: end A supported and slope guided: end B fixed: concentrated bending moment
Beam under bending: with held ends: left end fixed: right end supported: concentrated load
Beam under bending: with held ends: left end fixed: right end fixed: applied vertical displacement
Beam under simple bending: left end fixed: right end supported: distributed load
Tapered simply supported beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated load
Curved beam in bending: end A simply supported: end B fixed: concentrated load
Tapered fixed beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: distributed load
Properties of plane area: Built up welded beams: single symmetric
Curved beam in bending: end A free: end B fixed: uniform load
Elastic stability of a beam-column: with two stepped sections: under two axial compressive loads: base fixed: top guided
Beam under simple bending: large deflections: left end supported: right end guided: distributed load
Beam under bending+shear: left end fixed: right end free: point load
Curved beam in bending: end A supported and slope guided: end B supported and slope guided: concentrated twisting moment
Sections with triangular shape
Beam under bending+shear: left end fixed: right end supported: point load
Beam under simple bending: left end supported: right end guided: combined loads
Tapered fixed beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: uniform load
Beam under bending: with held ends: left end fixed: right end guided: temperature gradient: across depth: linearly varying
Elastic stability of a beam-column: prismatic: under a single axial compressive load: base fixed: top guided
Semi-infinite beam: on elastic foundation: concentrated moment
Beam under simple bending: left end fixed: right end fixed: uniform load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated moment
Continuous beam: over 4 spans: in simple bending: combined loads
Beam under bending+shear: left end supported: right end supported: combined loads
Beam under bending+shear: left end supported: right end guided: uniform load
Tapered simply supported beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: combined loads
Curved beam in bending: end A simply supported: end B supported and roll guided: concentrated twisting moment
Guided-free beam: on elastic foundation: concentrated moment
Supported-fixed beam: on elastic foundation: concentrated moment
Beam under bending: with axial compression: left end fixed: right end supported: distributed load
Beam under simple bending: left end supported: right end guided: concentrated moment
Beam under simple bending: left end supported: right end supported: uniform load
Beam under bending: with axial compression: left end fixed: right end free: distributed load
Beam under bending+shear: left end fixed: right end fixed: combined loads
Properties of plane area: hollow structural sections: round
Simply supported beam: on elastic foundation: concentrated moment
Tapered simply supported beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated moment
Beam under bending: with axial tension: left end supported: right end guided: distributed load
Beam under bending: with axial tension: left end supported: right end supported: concentrated load
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 1st power of x: resistance modulus varying with the 1st power of x: 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 supported: top supported
Beam under bending: with axial compression: left end supported: right end guided: combined loads
Fixed-fixed beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Tapered simply supported beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: linearly decreasing load
Beam under bending: with held ends: left end supported: right end guided: uniform load
Beam under bending: with held ends: left end supported: right end supported: concentrated moment
Tapered cantilever under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Beam under bending: with axial tension: left end fixed: right end free: combined loads
Beam under bending: with axial tension: left end fixed: right end fixed: concentrated load
Circular ring beam: supported at bottom: load at top
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 2nd power of x: resistance modulus varying with the 1st power of x: concentrated load
Beam under bending: with axial tension: left end fixed: right end supported: applied vertical displacement
Properties of plane area: Standard channels: with tapered flanges: two beams full penetration welded to form a closed section
Tapered cantilever under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Beam under bending: with held ends: left end fixed: right end fixed: concentrated moment
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: with axial tension: left end supported: right end supported: concentrated moment
Beam under bending: with axial tension: left end supported: right end guided: uniform load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: uniform load
Beam under simple bending: large deflections: left end fixed: right end supported: concentrated load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 4th power of x: resistance modulus varying with the 3rd power of x: combined loads
Curved beam in bending: end A supported and roll guided: end B fixed: combined loads
Beam under bending: with axial compression: left end fixed: right end free: uniform load
Free-free beam: on elastic foundation: point load
Beam: simple bending: with held ends: left end supported: right end supported: uniform load
Curved beam in bending: end A supported and roll guided: end B fixed: concentrated load
Curved beam in bending: end A simply supported: end B supported and slope guided: distributed load
Beam under simple bending: left end supported: right end supported: distributed load
Beam under bending: with axial tension: left end fixed: right end fixed: concentrated moment
Beam under bending: with axial compression: left end fixed: right end supported: uniform load
Curved beam in bending: end A simply supported: end B supported and roll guided: concentrated bending moment
Beam under simple bending: large deflections: left end fixed: right end free: concentrated load
Beam under bending+shear: left end supported: right end guided: distributed load
Beam under bending: with held ends: left end fixed: right end fixed: concentrated load
Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 4th power of x (n=4): under a single axial compressive load: base fixed: top supported
Tapered simply supported beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: distributed load
Beam under simple bending: left end fixed: right end fixed: distributed load
Beam under bending: with held ends: left end fixed: right end supported: applied vertical displacement
Fixed-free beam: on elastic foundation: concentrated moment
Supported-infinite beam: on elastic foundation: concentrated moment
Beam under bending+shear: left end supported: right end supported: point load
Tapered fixed beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: distributed load
Circular ring beam: supported at bottom: loaded by uniform vertical load
Standard angles: unequal legs
Curved beam in bending: end A supported and roll guided: end B supported and roll guided: combined loads
Beam under simple bending: left end supported: right end guided: concentrated load
Beam under simple bending: left end fixed: right end guided: applied angular displacement
Beam under bending: with held ends: left end supported: right end guided: distributed load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: linearly decreasing load
Beam under bending+shear: left end fixed: right end fixed: point load
Fixed-infinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Tapered fixed beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: distributed load
Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base supported: top supported
Properties of plane area: hollow structural sections: elliptical
Curved beam in bending: end A supported and roll guided: end B supported and roll guided: concentrated load
Circular ring beam: supported at bottom: 2 radial loads
Curved beam in bending: end A supported and roll guided: end B fixed: distributed load
Curved beam in bending: end A simply supported: end B supported and slope guided: concentrated load
Properties of plane area: Standard channels: with parallel faced flanges
Beam under bending+shear: left end supported: right end guided: point load
Beam under simple bending: large deflections: left end fixed: right end free: distributed load
Curved beam in bending: end A simply supported: end B supported and slope guided: combined loads
Beam under simple bending: left end fixed: right end supported: applied vertical displacement
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 2nd power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Beam under bending: with held ends: left end fixed: right end fixed: distributed load
Tapered fixed beam under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: uniform load
Beam under simple bending: left end fixed: right end fixed: concentrated load
Supported-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Beam under simple bending: large deflections: left end fixed: right end supported: distributed load
Tapered fixed beam under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: distributed load
Properties of plane area: hollow structural sections: rectangular
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
Infinite beam: on elastic foundation: concentrated load
Tapered simply supported beam under simple bending: main inertia symmetrically varying with the 1st power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Beam: simple bending: with held ends: left end supported: right end supported: distributed load
Guided-guided beam: on elastic foundation: concentrated load
Beam under simple bending: left end supported: right end supported: point load
Supported-guided beam: on elastic foundation: concentrated load
Beam under simple bending: left end supported: right end guided: distributed load
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: distributed load
Beam under bending: with held ends: left end supported: right end guided: concentrated load
Beam under bending: with held ends: left end fixed: right end guided: applied angular displacement
Beam under bending: with axial compression: left end fixed: right end free: concentrated moment
Beam under bending+shear: left end fixed: right end fixed: distributed load
Infinite beam: on elastic foundation: distributed load: linearly varying over 'a'
Fixed-free beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Guided-guided beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Beam under bending: with axial tension: left end supported: right end supported: uniform load
Beam under bending: with axial tension: left end supported: right end guided: concentrated moment
Fixed-infinite beam: on elastic foundation: concentrated moment
Tapered cantilever under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated load
Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 1st power of x (n=1): under a single axial compressive load: base fixed: top supported
Tapered beam under simple bending: a fixed end and a supported one: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: distributed load
Beam under bending+shear: left end supported: right end supported: distributed load
Curved beam in bending: end A supported and roll guided: end B supported and roll guided: distributed load
Curved beam in bending: end A simply supported: end B supported and roll guided: uniform load
Beam under bending: with axial compression: left end fixed: right end supported: concentrated moment
Beam under bending: with axial tension: left end fixed: right end fixed: uniform load
Beam under bending: with held ends: left end supported: right end guided: concentrated moment
Tapered simply supported beam under simple bending: main inertia varying with the 1st power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Beam: simple bending: with held ends: left end supported: right end supported: uniform load
Tapered cantilever under simple bending: main inertia varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: linearly decreasing load
Beam under bending: with axial compression: left end fixed: right end free: concentrated load
Beam under bending: with axial compression: left end supported: right end supported: applied vertical displacement
Semiinfinite beam: on elastic foundation: distributed load: linearly varying: from 'a' to 'b'
Tapered fixed beam under simple bending: main inertia symmetrically varying with the 3rd power of x: resistance modulus varying with the 2nd power of x: concentrated load
Properties of plane area: hollow structural sections: square
Beam under bending: with axial tension: left end fixed: right end guided: applied angular displacement
Beam under simple bending: large deflections: left end fixed: right end supported: uniform load
Beam under bending: with axial tension: left end supported: right end guided: concentrated load
Beam under bending: with held ends: left end fixed: right end fixed: uniform load
Tapered fixed beam under simple bending: main inertia varying symmetrically with the 4th power of x: resistance modulus varying with the 3rd power of x: uniform load
Tapered simply supported beam under simple bending: main inertia varying with the 2nd power of x: resistance modulus varying with the 1st power of x: linearly decreasing load
Beam under simple bending: large deflections: left end fixed: right end free: uniform load
Properties of plane area: Standard channels: with tapered flanges
Beam under bending: with axial compression: left end fixed: right end fixed: applied vertical displacement
Beam under bending: with axial compression: left end fixed: right end supported: concentrated load
Beam under bending: with axial tension: left end fixed: right end fixed: distributed load
Circular ring beam: supported at bottom: 2 horizontal loads
Beam under bending+shear: left end supported: right end guided: combined loads
Beam under bending+shear: left end supported: right end supported: uniform load
Tapered cantilever under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: combined loads
Continuous beam: over 2 spans: in simple bending: combined loads
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
Fixed-fixed beam: on elastic foundation: concentrated moment
Beam under simple bending: left end fixed: right end fixed: concentrated moment
Beam under bending: with axial tension: left end supported: right end supported: distributed load
Tapered cantilever under simple bending: main inertia varying with the 4th power of x: resistance modulus varying with the 3rd power of x: concentrated moment
Elastic stability of a beam-column: tapered over a portion of length: inertia varying with the 3rd power of x (n=3): under a single axial compressive load: base supported: top supported
Beam under bending: with axial compression: left end fixed: right end guided: temperature gradient: across depth: linearly varying
Beam under bending+shear: left end fixed: right end fixed: uniform load
Continuous beam: over 3 spans: in simple bending: combined loads
Beam under simple bending: left end supported: right end guided: uniform load
Beam under simple bending: left end supported: right end supported: concentrated moment