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Theory of Structures

Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/3EI
WL²/2EI
WL3/3EI
WL3/2EI

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

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Theory of Structures
The assumption in the theory of bending of beams is:

Young’s modulus is same in tension as well as in compression
All of these
Material is isotropic
Material is homogeneous

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Theory of Structures
The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is

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

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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).

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

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

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

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