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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

L
L/2
S
2L

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

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD³ + mbd³)/6D]
BD² + mbd²)/6D]
BD² + mbd³)/4D]
BD² + mbd²)/4D]

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Theory of Structures
A close coil helical spring when subjected to a moment M having its axis along the axis of the helix

All of these
Its number of coils will increase
It is subjected to pure bending
Its mean diameter will decrease

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

W²L/2AE
W²L/AE
WL/2AE
WL/AE

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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

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

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