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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
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
8/5
5/8
2/3

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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

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

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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

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

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Theory of Structures
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

T/M
M/T
2T/M
2M/ T

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Theory of Structures
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

1
3
1.5
2

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