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Theory of Structures

Theory of Structures
The stiffness of the close coil helical spring is

8D3N/d4n
d4N/4D3n
4D3N/d4n
d4N/8D3n

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Theory of Structures
Inertia of a rectangular section of width and depth about an axis passing the moment of through C.G. and parallel to its width is

BD³/6
BD³/12
BD²/6
B²D/6

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

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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
3 mm
5 mm
4 mm

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Theory of Structures
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

100 N/mm 2
120 N/mm²
150 N/mm²
80 N/mm²

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Theory of Structures
The ratio of maximum and average shear stresses on a rectangular section, is

1.25
1.5
2.5
1

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