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Theory of Structures

Theory of Structures
The point of contraflexure is the point where

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

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Theory of Structures
The strain energy due to volumetric strain

Is directly proportional to the square of exerted pressure
Is inversely proportional to Bulk modulus
Is directly proportional to the volume
All of these

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

3p/a²
4p/a²
2p/a²
p/a²

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Theory of Structures
A body is said to be in equilibrium if

None of these
It moves horizontally
It moves vertically
It rotates about its C.G.

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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
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

E = 2N (1 + 1/m)
All of these
(3/2)K (1 – 2/m) = N (1 + 1/m)
E = 3K (1 – 2/m)

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