Q6: A thin steel cylinder 1 m long, of 150 mm internal diameter and plate thickness of 5 mm, is subjected to an internal pressure of 7 MN/m²; the increase in volume due to the pressure is 2.36 x 10 m³. Find the values of Poisson's ratio and the modulus of rigidity. If, in addition to the internal pressure, the cylinder is subjected to a torque of 190 N.m, and axial tensile force at the ends of 650 N, determine the magnitude of the principal stresses set up in the cylinder and their directions. Assume the Elasticity modulus, E = 210 GN/m².

Q6: A thin steel cylinder 1 m long, of 150 mm internal diameter and plate thickness of 5 mm, is subjected to an internal pressure of 7 MN/m²; the increase in volume due to the pressure is 2.36 x 10 m³. Find the values of Poisson's ratio and the modulus of rigidity. If, in addition to the internal pressure, the cylinder is subjected to a torque of 190 N.m, and axial tensile force at the ends of 650 N, determine the magnitude of the principal stresses set up in the cylinder and their directions. Assume the Elasticity modulus, E = 210 GN/m².

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.8P: A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (sec...

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