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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
0.707
0.404
0.303

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML/EI
ML²/3EI
ML/2EI
ML²/2EI

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

b²h/12
b³h/12
bh³/12
bh²/12

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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
200/EIc
100/EIc

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

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Theory of Structures
The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is

1½
1
2
½

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