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Theory of Structures

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

1
1.5
2.5
1.25

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

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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
2p/a²
p/a²
4p/a²

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Theory of Structures
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

2M/ T
M/T
T/M
2T/M

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

4.125 cm²
3.125 cm³
2.125 cm³
1.125 cm³

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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

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

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