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Theory of Structures

Theory of Structures
Inertia of a rectangular section of width and depth about an axis passing the moment of through C.G. and parallel to its width is

B²D/6
BD³/6
BD³/12
BD²/6

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

50/EIc
150/EIc
100/EIc
200/EIc

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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
Neither A nor B
Maximum bending stress = 32M/πd³

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Theory of Structures
A truss containing j joints and m members, will be a simple truss if

m = 3j – 2
m = 2j – 3
j = 2m – 3
j = 3m – 2

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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
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/2
1/8
1/3
1/4

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