Figure P4.56 shows a small pressurized cylinder, attached at the one end and loaded with a pipe wrench at the other. The internal pressure causes a tangential stress of 400 MPa and an axial stress of 200 MPa that act on an element at point A. The pipe wrench superimposes a bending stress of 100 MPa and a torsional stress of 200 MPa.
(a) Make a Mohr circle representation of the state of stress at point A.
(b) What is the magnitude of the maximum shear stress at A?
(c) Make a sketch showing the orientation of a principal element (with respect to the original element drawn at A), and show all stresses acting on it.