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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

0.707
0.505
0.303
0.404

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

150/EIc
50/EIc
100/EIc
200/EIc

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Theory of Structures
In a shaft, the shear stress is not directly proportional to

Radius of the shaft
Length of the shaft
Angle of twist
Modulus of rigidity

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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
2F/3A
F/2A

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Theory of Structures
For the close coil helical spring of the maximum deflection is

2WD3n/d4N
8WD3n/d4N
WD3n/d4N
4W²D3n/d4N

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Theory of Structures
The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

Circle
Straight line
Ellipse
Parabola

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