A vertical metal cylinder of radius 2 cm and length 2 m is fixed at its lower end, and a load of 100 kg is placed on it. Determine the stress. The Young modulus of the metal is 2 10¹¹ N/m ^2 .

Step-by-step solution

The stress on the cylinder is given by the ratio of the applied force to the cross-sectional area. Force applied by the load, F = mg = 100 10 = 1000 N Cross-sectional area, A = r^2 = (2 10⁻²)^2 = 4 10⁻⁴ m ^2 Stress = F A = 1000 4 10⁻⁴ Stress = 10^7 4 7.96 10^5 N/m ^2