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Theory of Structures

Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/3) A
(1/12) A
(1/18) A
(1/6) A

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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).

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

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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

E = 3K (1 – 2/m)
All of these
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°
90°
30°
45°

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Theory of Structures
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

2
1.5
3
1

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

bh²/12
bh³/12
b²h/12
b³h/12

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