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Theory of Structures

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

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

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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

90°
45°
60°
30°

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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

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

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

W²L/AE
W²L/2AE
WL/2AE
WL/AE

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Theory of Structures
A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm² is:

4.5 mm
4.0 mm
5.5 mm
5.0 mm

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Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

b²h/12
b³h/12
bh²/12
bh³/12

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