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Theory of Structures

Theory of Structures
A truss containing j joints and m members, will be a simple truss if

j = 2m – 3
m = 3j – 2
m = 2j – 3
j = 3m – 2

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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)

An isolated load at mid span
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

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Theory of Structures
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

1
1/2
2
1/4

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.404
0.707
0.303
0.505

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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

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

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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

Perry
Rankine
Straight line formula
Parabolic formula

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