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Theory of Structures

Theory of Structures
The point of contraflexure is the point where

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

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Theory of Structures
The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)

A uniformly distributed load w/unit length
An isolated load at mid span
None of these
A load varying linearly from zero at one end to w at the other end

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/4
1/3
1/2
1/8

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Theory of Structures
A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to ? per unit run at the right end. The horizontal thrust is

ωl²/8h
ωl²/16h
ωl²/12h
ωl²/4h

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Theory of Structures
H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

M = 0
All of these
H = 0
V = 0

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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

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

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