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Theory of Structures

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

2WD3n/d4N
8WD3n/d4N
WD3n/d4N
4W²D3n/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
p/a²
2p/a²
4p/a²

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Depth of the section
Maximum tensile stress at the section
Depth of the neutral axis
Maximum compressive stress at the section

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Theory of Structures
At yield point of a test piece, the material

Obeys Hooke’s law
Regains its original shape on removal of the load
Behaves in an elastic manner
Undergoes plastic deformation

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

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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

75 N/m²
7500 N/m²
75000 N/m²
750 N/m²

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