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Theory of Structures

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

L/2
l
2 L
L

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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).

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

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Theory of Structures
An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

2W/ha
Wa/2h
2h/Wa
Wa/h

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Theory of Structures
If a concrete column 200 × 200 mm in cross-section is reinforced with four steel bars of 1200 mm² total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm² and Es is 15 Ec

294 MN
284 MN
274 MN
264 MN

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Theory of Structures
The ratio of maximum and average shear stresses on a rectangular section, is

1
1.5
2.5
1.25

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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

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

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