(Solved): 1. Consider the pipe that is pressurized and loaded as shown in the figure below; The stresses are s ...

1. Consider the pipe that is pressurized and loaded as shown in the figure below; The stresses are such that internal pressure creates a tangential (hoop stress) of 300 MPa and a longitudinal (axial stress) of 150 MPa . The load from the wrench results in a bending stress of 75 MPa and a torsional stress of 200 MPa . a. Sketch the stresses at element \( A \). Be sure to show the orientation of the axial direction ( \( z \) in this case). b. Find the principal stresses. c. If the pipe is a ductile material, determine the yield strength required such that the safety factor is 2.5 , use the max shear and distortion energy criteria. d. Comment on whether there is a difference in your answer for part c given the failure criteria. Does this make sense?