# A low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P 30 kN), a moment (M = 200 N-m), and a torque (T = 300 N-m). Assume the material is yield critical with a tensile and compressive yield strength of 280 MPa. The Poisson’s ratio is (v = 0.29), and the safety factor is (1.1). Calculate the margin of safety on a plane stress incremental element on the upper surface of the shaft using the following failure theories: a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint Venant Criteria (Maximum Principal Strain) d.) Von Mises Criteria (Energy Distortion)

Question-AnswerCategory: Machine DesignA low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P 30 kN), a moment (M = 200 N-m), and a torque (T = 300 N-m). Assume the material is yield critical with a tensile and compressive yield strength of 280 MPa. The Poisson’s ratio is (v = 0.29), and the safety factor is (1.1). Calculate the margin of safety on a plane stress incremental element on the upper surface of the shaft using the following failure theories: a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint Venant Criteria (Maximum Principal Strain) d.) Von Mises Criteria (Energy Distortion)

A low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P 30 kN), a moment (M = 200 N-m), and a torque (T = 300 N-m). Assume the material is yield critical with a tensile and compressive yield strength of 280 MPa. The Poisson’s ratio is (v = 0.29), and the safety factor is (1.1). Calculate the margin of safety on a plane stress incremental element on the upper surface of the shaft using the following failure theories: a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint Venant Criteria (Maximum Principal Strain) d.) Von Mises Criteria (Energy Distortion)       