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Theory of Structures

Theory of Structures
The ratio of the area of cross-section of a circular section to the area of its core, is

11
15
16
14

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

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

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

w²a
wa/27
wa²
wa²/27

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = 2h/l² × (1 – x)
y = h/l² × (1 – x )
y = 4h/l² × (1 – x)
y = 3h/l² × (1 – x)

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Theory of Structures
A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

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

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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
5 mm
4 mm
2 mm

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