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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

0.404
0.303
0.505
0.707

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Theory of Structures
The strain energy due to volumetric strain

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

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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,

15 M
13 M
14 M
16 m

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

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Theory of Structures
section modulus of a square section of side B and that of a circular section of the ratio of the diameter D, is

3 /8
2 /15
/16
3 /16

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Theory of Structures
A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to ? per unit run at the right end. The horizontal thrust is

ωl²/12h
ωl²/4h
ωl²/8h
ωl²/16h

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