A pipe with closed ends has an outer diameter of 80 mm and a wall thickness of 3.0 mm. It is subjected to an internal pressure of 20 MPa and a bending moment of 2.0 kN*m. Determine the safety factor against yielding if the material is 7075-T6 aluminum.
Table values for 7077-T6 aluminum:
E = 71 GPa = 10.3 (10^3 ksi)
yield strength (stress) = 469 MPa = 68 ksi
Ultimate Strength (stress) = 578 MPa = 84 ksi
Elongation = 11
Reduction in Area (%RA)= 33