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Theory of Structures

Theory of Structures
A body is said to be in equilibrium if

None of these
It rotates about its C.G.
It moves vertically
It moves horizontally

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Theory of Structures
In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/4
L/5
L/2
L/3

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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

WL3/3EI
WL²/3EI
WL²/2EI
WL3/2EI

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

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

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Theory of Structures
A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

13 M
14 M
15 M
16 m

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

4 mm
5 mm
2 mm
3 mm

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