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Theory of Structures

Theory of Structures
A body is said to be in equilibrium if

It moves horizontally
None of these
It moves vertically
It rotates about its C.G.

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

2 mm
5 mm
4 mm
3 mm

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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

750 N/m²
7500 N/m²
75 N/m²
75000 N/m²

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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

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

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Theory of Structures
For the close coil helical spring of the maximum deflection is

8WD3n/d4N
2WD3n/d4N
4W²D3n/d4N
WD3n/d4N

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

3p/a²
4p/a²
p/a²
2p/a²

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