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Theory of Structures

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 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

2.5 cm
2 cm
1.5 cm
1 cm

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Theory of Structures
For beams breadth is constant,

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

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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

2/7
4/7
3/7
1/7

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

(3/2)K (1 – 2/m) = N (1 + 1/m)
E = 2N (1 + 1/m)
All of these
E = 3K (1 – 2/m)

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Theory of Structures
The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is

2/3
1/4
1/3
1/2

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