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Theory of Structures

Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/16
1/12
1/10
1/8

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

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

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Theory of Structures
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

150 N/mm²
100 N/mm 2
120 N/mm²
80 N/mm²

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.303
0.404
0.707
0.505

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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

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

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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

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

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