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Theory of Structures

Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/8
1/16
1/10
1/12

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Theory of Structures
If a concrete column 200 × 200 mm in cross-section is reinforced with four steel bars of 1200 mm² total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm² and Es is 15 Ec

284 MN
274 MN
264 MN
294 MN

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Theory of Structures
The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)

A uniformly distributed load w/unit length
A load varying linearly from zero at one end to w at the other end
None of these
An isolated load at mid span

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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/2
L/4
L/5
L/3

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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
3/2
2/3
5/8

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Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

2L
S
L/2
L

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