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Theory of Structures

Theory of Structures
section modulus of a square section of side B and that of a circular section of the ratio of the diameter D, is

/16
2 /15
3 /16
3 /8

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Perry
Straight line formula
Parabolic formula
Rankine

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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

0.003
0.0025
0.001
0.002

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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
3
1
2

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Maximum bending stress = 32M/πd³
Both A and B
Maximum shear stress = 16 T/πd³
Neither A nor B

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

3 mm
4 mm
2 mm
5 mm

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