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Theory of Structures

Theory of Structures
For beams breadth is constant,

Depth d M
Depth d
Depth d 1/M
Depth d 3

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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

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

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

4 mm
3 mm
2 mm
5 mm

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Theory of Structures
For beams of uniform strength, if depth is constant,

Width b M
Width b 1/M
Width b M 2
Width b 3 M

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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

wa/27
w²a
wa²
wa²/27

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Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

2L
L
L
L/2

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