A thin-walled cylindrical pressure vessel of inner radius r = 0.6 cm and a thickness of 0.06 cm is subjected simultaneously to internal gas pressure p = 3.5 MPa, a compressive force F = 800 N acting...

Extracted text: A thin-walled cylindrical pressure vessel of inner radius r = 0.6 cm and a thickness of 0.06 cm is subjected simultaneously to internal gas pressure p = 3.5 MPa, a compressive force F = 800 N acting at the ends, and a torsional load of 25 N · m (see figure). Determine the following quantities (a) the principal stresses at a point H on the surface of the vessel and the absolute maximum shear stress; (b) the normal strain along x-axis (ɛx) and the shear strain (yxy) at the same point H. See the established Oxy coordinate system. The Young's modulus of the material is 200 GPa and the Poisson's ratio is 0.3. Hint: the cross-section of the vessel can be regarded as a hollow tube and the cross-section area can be calculated as 1(0.00662 – 0.006²). You can do the same treatment for the polar moment inertia. 25 N· m F F H X 25 N· m