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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

WL3/2EI
WL3/3EI
WL²/3EI
WL²/2EI

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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

0.002
0.003
0.0025
0.001

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

wa²
w²a
wa²/27
wa/27

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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

W²L/2AE
WL/AE
WL/2AE
W²L/AE

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Theory of Structures
In the truss, the force in the member AC is

t tensile
t compressive
8.75 t tensile
6.25 t compressive

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Theory of Structures
In case of principal axes of a section

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

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