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Theory of Structures

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

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

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Theory of Structures
Maximum shear stress theory for the failure of a material at the elastic limit, is known

Haig's theory
Guest's or Trecas' theory
St. Venant's theory
Rankine's theory

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

w²a
wa²
wa²/27
wa/27

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Theory of Structures
The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

3F/2A
F/A
F/2A
2F/3A

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Theory of Structures
A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

8/5
3/2
2/3
5/8

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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
1
2
3

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