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Strength-of-materials Questions Set 23:

Quiz Mode

Section modulus is directly proportional to which of the following?

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Which type of support is similar to a roller support?

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What is the volumetric strain (ev) when a rectangular bar is uniaxially loaded? (σx = stress in X-direction)

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What type of fracture surface is observed in a ductile material under tension?

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In the elastic zone of a tensile test, the tensile stress:

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A 4 m long steel wire with a cross-sectional area of 4 mm^2 is subjected to a load of 300 kN. The Young's modulus of steel is 2 × 10^5 MPa. Calculate the deflection produced in the wire.

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The safe stress for a hollow steel column that carries an axial load of 2100 kN is 125 MN/m^2. If the external diameter of the column is 30 cm, what will be the internal diameter?

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Consider a bar with a thermal expansion coefficient of 10-5/°C, E = 210 GPa, and a temperature rise of 50 K. If the bar's ends are free, what is the value of the thermal stress generated?

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The modulus of resilience for a body subjected to a shear load of 30 KN/mm2 is 240 N/mm2. If the same body is subjected to torsion, what will be the value of the modulus of resilience? (Assume other parameters remain the same.)

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Solution:

With respect to the Superposition theorem, consider the following:

There are 'n' number of loads acting on the beam. The deflection caused by each load individually is given by

1, ∆2, ∆3, ∆4,…., ∆n.

j = Sum of all odd-position deflections in the series

i = Sum of all even-position deflections in the series

Which of the following is true with respect to the total deflection (∆total) caused by all the loads considered together?

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Solution: