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Theory of Structures

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

0.707
0.505
0.404
0.303

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Theory of Structures
A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

[W (2 + f/G)]/A
(1 – g/f)/A
[W (2 + g/f)]/A
[W (1 + f/ G)]/ A

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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
L/2

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Theory of Structures
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

100 N/mm 2
150 N/mm²
80 N/mm²
120 N/mm²

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

Hyperbola
Straight line
Circle
Parabola

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Theory of Structures
Flat spiral springs

Consist of uniform thin strips
Are wound by applying a torque
All of these
Consist of uniform thin strips

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