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Theory of Structures

Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/6) A
(1/3) A
(1/12) A
(1/18) A

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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

5 mm
3 mm
4 mm
2 mm

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Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

2L
L
L/2
L

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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

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

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

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

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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

WL²/3EI
WL3/2EI
WL²/2EI
WL3/3EI

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