Question

 A cylinder made of bronze 180 mm outside diameter and 15 mm thick is strengthened by a single layer of steel wire 2.25 mm diameter wound over it under a constant stress of 75 MN/m². The cylinder is subjected to an internal pressure of 27 MN/m², with rise in temperature of the cylinder by 120°C. Assuming the cylinder to be a thin shell with closed ends, determine the final values of: (i) The stress in the wire; (ii) The circumferential stress in the cylinder wall; (iii) The radial pressure between the wire and the cylinder. Take: For steel: E = 208 GN/m², α = 11.18 x 10-⁶ per °C For brass: E= 90 GN/m², α = 18.6 × 10-⁶ per °C, Poisson’s ratio = 0.32.​

Answer 1

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