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Theory of Structures

Theory of Structures
The vertical reaction for the arch is

wl/a
wa/2l
wa/l
wa²/2l

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

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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°
45°
30°
90°

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd²)/4D]
BD² + mbd³)/4D]
BD³ + mbd³)/6D]
BD² + mbd²)/6D]

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Theory of Structures
The strain energy due to volumetric strain

Is directly proportional to the square of exerted pressure
Is inversely proportional to Bulk modulus
All of these
Is directly proportional to the volume

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Theory of Structures
section modulus of a square section of side B and that of a circular section of the ratio of the diameter D, is

/16
3 /8
2 /15
3 /16

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