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Theory of Structures

Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

4/7
2/7
1/7
3/7

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Theory of Structures
In the truss, the force in the member AC is

6.25 t compressive
t compressive
8.75 t tensile
t tensile

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

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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

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

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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
wa²/27
wa²

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