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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

BD²/6
BD³/12
B²D/6
BD³/6

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Theory of Structures
In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/4
L/2
L/5
L/3

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Theory of Structures
For beams breadth is constant,

Depth d M
Depth d 1/M
Depth d 3
Depth d

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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
Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then

M/I = R/E = F/Y
M/I = E/R = F/Y
M/I = E/R = Y/F
I/M = R/E = F/Y

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Theory of Structures
An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

2W/ha
Wa/2h
2h/Wa
Wa/h

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