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THEORY OF STRUCTURES

Theory of Structures
The point of contraflexure is the point where

S.F. is zero
M. is minimum
M. is maximum
M. changes sign

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

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Theory of Structures
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is

0.002
0.001
0.0025
0.003

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Theory of Structures
The ratio of shear stress and shear strain of an elastic material, is

Shear Modulus
Both A. and B.
Modulus of Rigidity
Modulus of Elasticity

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

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