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Theory of Structures

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
WL²/2EI
WL3/3EI
WL3/2EI

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Theory of Structures
For the close coil helical spring of the maximum deflection is

4W²D3n/d4N
WD3n/d4N
8WD3n/d4N
2WD3n/d4N

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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

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

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Theory of Structures
Principal planes are subjected to

None of these
Tangential stresses only
Normal stresses only
Normal stresses as well as tangential stresses

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Theory of Structures
There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

2 : 1½ : 1
1 : 1½ : 2
1 : 1 : 2
None of these

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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

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

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