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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
0.404
0.303
0.505

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Theory of Structures
Stress may be defined as

Force per unit area
Force per unit volume
Force per unit length
None of these

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Rankine
Parabolic formula
Straight line formula
Perry

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

wa²/27
wa/27
w²a
wa²

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Theory of Structures
A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

3/2
8/5
2/3
5/8

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Theory of Structures
The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

WL3/24EL
WL3/48EL
WL3/3EL
WL3/8EL

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