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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

l
L/2
2 L
L

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Theory of Structures
constant, depth of a cantilever of length of uniform strength loaded with Keeping breadth uniformly distributed load varies from zero at the free end and

3w l at the fixed end
l) at the fixed end
w l) at the fixed end
2w w l at the fixed end

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

p/a²
4p/a²
2p/a²
3p/a²

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

2/3
8/5
5/8
3/2

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Theory of Structures
A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm², the side of the rod, is

1 cm
2 cm
1.5 cm
2.5 cm

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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

0.0025
0.002
0.001
0.003

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