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Theory of Structures

Theory of Structures
The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

F/A
F/2A
2F/3A
3F/2A

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Theory of Structures
The equivalent length is of a column of length having both the ends fixed, is

2 L
L/2
l
L

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Theory of Structures
A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

15 M
13 M
14 M
16 m

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Theory of Structures
Total strain energy theory for the failure of a material at elastic limit, is known

St. Venant’s theory
Haig’s theory
Guest’s or Trecas’ theory
Rankine’s theory

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd²)/6D]
BD³ + mbd³)/6D]
BD² + mbd²)/4D]
BD² + mbd³)/4D]

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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/5
L/2
L/3
L/4

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