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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
An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

2W/ha
Wa/2h
Wa/h
2h/Wa

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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

2M/ T
M/T
2T/M
T/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/2A
2F/3A
3F/2A
F/A

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Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/8
1/12
1/16
1/10

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Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

bh²/12
b²h/12
bh³/12
b³h/12

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