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Theory of Structures

Theory of Structures
The ratio of maximum shear stress to average shear stress of a circular beam, is

2/3
4/3
3/2
4/7

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Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

L/2
L
L
2L

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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

WL²/3EI
WL3/3EI
WL3/2EI
WL²/2EI

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Theory of Structures
For beams breadth is constant,

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

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

3.125 cm³
4.125 cm²
2.125 cm³
1.125 cm³

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Theory of Structures
In plastic analysis, the shape factor for rectangular section, is

1.6
1.5
1.4
1.7

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