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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 two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to ? per unit run at the right end. The horizontal thrust is

ωl²/12h
ωl²/8h
ωl²/16h
ωl²/4h

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

400 mm
200 mm
300 mm
250 mm

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Theory of Structures
In a shaft, the shear stress is not directly proportional to

Radius of the shaft
Angle of twist
Modulus of rigidity
Length of the shaft

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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).

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

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Theory of Structures
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

0.307
0.207
0.508
0.407

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