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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

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

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Both A and B
Neither A nor B
Maximum bending stress = 32M/πd³
Maximum shear stress = 16 T/πd³

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Theory of Structures
For beams breadth is constant,

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

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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

45°
60°
30°
90°

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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
0.505
0.404
0.707

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Theory of Structures
A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

(1 – g/f)/A
[W (2 + f/G)]/A
[W (1 + f/ G)]/ A
[W (2 + g/f)]/A

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