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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 general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)

A uniformly distributed load w/unit length
A load varying linearly from zero at one end to w at the other end
An isolated load at mid span
None of these

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Theory of Structures
The shape factor of standard rolled beam section varies from

1.30 to 1.40
1.10 to 1.20
1.40 to 1.50
1.20 to 1.30

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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

Parabola
Straight line
Ellipse
Circle

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Theory of Structures
The ratio of maximum shear stress to average shear stress of a circular beam, is

3/2
4/3
2/3
4/7

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Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

2L
S
L
L/2

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