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Theory of Structures

Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

S
L/2
2L
L

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Theory of Structures
A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to ? per unit run at the right end. The horizontal thrust is

ωl²/4h
ωl²/16h
ωl²/8h
ωl²/12h

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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

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

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Theory of Structures
The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is

1/4
1/2
1/3
2/3

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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/A
3F/2A
F/2A

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

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

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