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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

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

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Theory of Structures
The locus of the moment of inertia about inclined axes to the principal axis, is

Parabola
Straight line
Ellipse
Circle

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Maximum bending stress = 32M/πd³
Both A and B
Maximum shear stress = 16 T/πd³
Neither A nor B

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

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

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Theory of Structures
The point of contraflexure is the point where

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

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

50/EIc
200/EIc
150/EIc
100/EIc

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