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Theory of Structures

Theory of Structures
For beams breadth is constant,

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

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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

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

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.303
0.707
0.505
0.404

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Theory of Structures
The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is

2.75 cm
3.50 cm
4.25 cm
3.00 cm

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

30°
90°
45°
60°

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Neither A nor B
Both A and B
Maximum shear stress = 16 T/πd³
Maximum bending stress = 32M/πd³

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