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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
S
L/2
2L

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

wa²
wa²/27
w²a
wa/27

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Theory of Structures
In a shaft, the shear stress is not directly proportional to

Modulus of rigidity
Radius of the shaft
Length of the shaft
Angle of twist

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Theory of Structures
The ratio of maximum shear stress to average shear stress of a circular beam, is

3/2
4/3
4/7
2/3

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Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

3/7
2/7
4/7
1/7

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Theory of Structures
If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

S.F. will be zero throughout
All of these
B.M. will be zero throughout
Horizontal thrust is wl2/8h

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