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Theory of Structures

Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = F – S
Q = S × F
Q = S – F
Q = S + F

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Theory of Structures
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is

0.001
0.002
0.0025
0.003

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Theory of Structures
For beams breadth is constant,

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

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

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

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Theory of Structures
There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

1 : 1½ : 2
None of these
2 : 1½ : 1
1 : 1 : 2

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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

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

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