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Theory of Structures

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/3
L/2
L/4
L/5

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Theory of Structures
The locus of reaction of a two hinged semi-circular arch, is

Hyperbola
Parabola
Circle
Straight line

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

WL/AE
WL/2AE
W²L/AE
W²L/2AE

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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

wa²/27
wa²
w²a
wa/27

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Theory of Structures
A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

L/2d
L/d
(L/2d)²
(L/3d)²

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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

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

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