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Theory of Structures

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
1/16
1/12
1/10

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Theory of Structures
The point of contraflexure is the point where

S.F. is zero
M. is maximum
M. is minimum
M. changes sign

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

0.505
0.303
0.404
0.707

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

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Theory of Structures
A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

[W (1 + f/ G)]/ A
[W (2 + f/G)]/A
[W (2 + g/f)]/A
(1 – g/f)/A

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

t tensile
t compressive
6.25 t compressive
8.75 t tensile

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