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Theory of Structures

Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.303
0.505
0.707
0.404

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Theory of Structures
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is

0.001
0.0025
0.002
0.003

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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

WL²/2EI
WL²/3EI
WL3/3EI
WL3/2EI

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Theory of Structures
In case of principal axes of a section

Product of moment of inertia is zero
Sum of moment of inertia is zero
None of these
Difference of moment inertia is zero

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Theory of Structures
The assumption in the theory of bending of beams is:

Material is isotropic
Young’s modulus is same in tension as well as in compression
Material is homogeneous
All of these

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

WL/2AE
W²L/AE
W²L/2AE
WL/AE

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