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Theory of Structures

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
1
3

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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

3 /8
3 /16
2 /15
/16

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

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Theory of Structures
constant, depth of a cantilever of length of uniform strength loaded with Keeping breadth uniformly distributed load varies from zero at the free end and

2w w l at the fixed end
w l) at the fixed end
l) at the fixed end
3w l at the fixed end

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

7500 N/m²
75000 N/m²
75 N/m²
750 N/m²

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Theory of Structures
The shape factor of standard rolled beam section varies from

1.10 to 1.20
1.20 to 1.30
1.30 to 1.40
1.40 to 1.50

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