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Theory of Structures

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

2 L
L
L/2
l

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Theory of Structures
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is

0.001
0.002
0.0025
0.003

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Theory of Structures
There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

2 : 1½ : 1
1 : 1 : 2
None of these
1 : 1½ : 2

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

Parabola
Straight line
Hyperbola
Circle

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Theory of Structures
The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

WL3/24EL
WL3/48EL
WL3/3EL
WL3/8EL

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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
2/7
3/7
4/7

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