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

0.404
0.707
0.505
0.303

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

90°
30°
45°
60°

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Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI²/8
WI/2
WI²/12
WI²/4

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Theory of Structures
The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is

3.50 cm
2.75 cm
4.25 cm
3.00 cm

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

(3/2)K (1 – 2/m) = N (1 + 1/m)
All of these
E = 3K (1 – 2/m)
E = 2N (1 + 1/m)

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