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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. changes sign
M. is minimum

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = 2h/l² × (1 – x)
y = h/l² × (1 – x )
y = 4h/l² × (1 – x)
y = 3h/l² × (1 – x)

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Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

3
1
4
2

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/3EI
WL3/3EI
WL3/2EI
WL²/2EI

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Theory of Structures
The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

2F/3A
F/2A
3F/2A
F/A

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

E = 3K (1 – 2/m)
All of these
E = 2N (1 + 1/m)
(3/2)K (1 – 2/m) = N (1 + 1/m)

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