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Theory of Structures

Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

S
L
L/2
2L

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Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

4
2
1
3

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Theory of Structures
For beams of uniform strength, if depth is constant,

Width b 3 M
Width b 1/M
Width b M
Width b M 2

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Theory of Structures
For beams breadth is constant,

Depth d 1/M
Depth d M
Depth d
Depth d 3

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Theory of Structures
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

0.307
0.508
0.207
0.407

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/2EI
WL²/3EI
WL3/2EI
WL3/3EI

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