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Theory of Structures

Theory of Structures
For beams of uniform strength, if depth is constant,

Width b M
Width b 1/M
Width b 3 M
Width b M 2

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Theory of Structures
Inertia of a rectangular section of width and depth about an axis passing the moment of through C.G. and parallel to its width is

BD³/12
BD²/6
BD³/6
B²D/6

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Theory of Structures
The yield moment of a cross section is defined as the moment that will just produce the yield stress in

The outer most fibre of the section
The inner most fibre of the section
The fibre everywhere
The neutral fibre of the section

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Theory of Structures
The shape factor of standard rolled beam section varies from

1.10 to 1.20
1.30 to 1.40
1.40 to 1.50
1.20 to 1.30

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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

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

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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

WI²/12
WI²/8
WI/2
WI²/4

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