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Theory of Structures

Theory of Structures
The stiffness of the close coil helical spring is

8D3N/d4n
d4N/4D3n
4D3N/d4n
d4N/8D3n

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Theory of Structures
Inertia of a rectangular section of width and depth about an axis passing the moment of through C.G. and parallel to its width is

BD³/12
BD³/6
BD²/6
B²D/6

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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

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

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Theory of Structures
A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm²), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is

25 N
35 N
30 N
40 N

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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

60°
30°
45°
90°

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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

w²a
wa²
wa/27
wa²/27

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