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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

0.505
0.404
0.303
0.707

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Theory of Structures
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

T/M
2M/ T
M/T
2T/M

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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

WL3/2EI
WL²/2EI
WL²/3EI
WL3/3EI

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Theory of Structures
The strain energy due to volumetric strain

Is inversely proportional to Bulk modulus
Is directly proportional to the volume
Is directly proportional to the square of exerted pressure
All of these

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

200 mm
400 mm
250 mm
300 mm

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Theory of Structures
a uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is

el²/3d²
el/2d
e²l²/3d²
ee²l/3d²

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