MECHANICS- ENGINEERING

A cylindrical pipe has radius R = 25 mm, thickness t = 2 mm and is of length L = 1mm. A strain gauge rosette is mounted on the surface of the vessel at its mid-point. One gauge is aligned parallel to the long axis of the tube, another is aligned along the circumference of the tube and a third is inclined at 45 degrees to the tube axis. The pipe is pressurised to 3MPa relative to the atmosphere and is closed at each end with a valve. A torque is applied to the pipe until the strain measured in the 45degree gauge is identical to that measured along the circumference. Determine: a) The magnitude of the applied torque b) The principal strains in the pipe c) The principal stresses in the pipe * The pressure vessel is constructed from material with Youngs modulus = 125 GPa and Poisson's ratio = 0.324