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Theory of Structures

Theory of Structures
The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

F/A
3F/2A
2F/3A
F/2A

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

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

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Theory of Structures
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

1/4
2
1
1/2

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

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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

250 mm
200 mm
300 mm
400 mm

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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

4 mm
3 mm
5 mm
2 mm

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