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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

0.404
0.707
0.303
0.505

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

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

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Theory of Structures
Maximum principal stress theory for the failure of a material at elastic point, is known

St. Venant's theory
Rankine's theory
Guest's or Trecas' theory
Von Mises' theory

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Theory of Structures
In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/4
L/3
L/2
L/5

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Theory of Structures
The ratio of maximum shear stress to average shear stress of a circular beam, is

3/2
4/7
4/3
2/3

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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

w²a
wa²/27
wa/27
wa²

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