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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

0.303
0.505
0.404
0.707

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Maximum tensile stress at the section
Maximum compressive stress at the section
Depth of the neutral axis
Depth of the section

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Theory of Structures
A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

[W (2 + g/f)]/A
[W (2 + f/G)]/A
(1 – g/f)/A
[W (1 + f/ G)]/ A

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Theory of Structures
The vertical reaction for the arch is

wa²/2l
wa/2l
wl/a
wa/l

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Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

2L
L/2
L
L

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Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI²/4
WI²/12
WI/2
WI²/8

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