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Theory of Structures

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
1/10
1/12
1/8

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Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

L
L
L/2
2L

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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

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

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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
The point of contraflexure is the point where

M. changes sign
S.F. is zero
M. is maximum
M. is minimum

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Theory of Structures
A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised

Brass experiences compressive force
Steel experiences tensile force
Composite beam gets subjected to a couple
All of these

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