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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 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

3 mm
5 mm
2 mm
4 mm

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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).

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

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/3EI
WL3/3EI
WL3/2EI
WL²/2EI

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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
2
½
1

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