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Theory of Structures

Theory of Structures
Stress may be defined as

Force per unit length
Force per unit volume
Force per unit area
None of these

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Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

4
2
1
3

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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

0.0025
0.003
0.001
0.002

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

3.125 cm³
1.125 cm³
2.125 cm³
4.125 cm²

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

3/2
8/5
5/8
2/3

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Theory of Structures
P = 4π² EI/L² is the equation of Euler's crippling load if

Both the ends are hinged
One end is fixed and other end is hinged
One end is fixed and other end is free
Both the ends are fixed

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