A 500 mm long rotating shaft with a solid circular cross section is supported at its...

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A 500 mm long rotating shaft with a solid circular cross section is supported at its ends by bearings that can be modeled as simple supports. The middle of the shaft has a notch with a 1.25 mm radius. It carries a stationary transverse force of F = 800 N at section B as shown, a constant axial force of FA = 6000 N, along with an axial torque that fluctuates between -40 and 180 N-m. (a) Sketch a complete set of internal load diagrams for this shaft. At section C, calculate the: F=800 N Tmax = 180 N-m Tmin=-40 N-m 25 mm 27.5mm (b) Static factor of safety using the MSSTF. FAX 6000 N FAmin 6000 N = 1.25 mm 150 mm 100 mm 250mm (c) Static factor of safety using the DETF. (d) Fatigue factor of safety using the Soderberg A B C D criterion. (e) Fatigue factor of safety using the Goodman criterion. The shaft is made of carbon steel with a yield strength of 350 MPa and a tensile strength of 830 MPa (120 ksi). It has a machined surface finish. Assume no elevated temperatures and a reliability of 50% (C+= CR = 1.0). Problem 2 Answers (b) nc,MSSTF (c) n.C.DETF (d) ngcsod (e) nood A 500 mm long rotating shaft with a solid circular cross section is supported at its ends by bearings that can be modeled as simple supports. The middle of the shaft has a notch with a 1.25 mm radius. It carries a stationary transverse force of F = 800 N at section B as shown, a constant axial force of FA = 6000 N, along with an axial torque that fluctuates between -40 and 180 N-m. (a) Sketch a complete set of internal load diagrams for this shaft. At section C, calculate the: F=800 N Tmax = 180 N-m Tmin=-40 N-m 25 mm 27.5mm (b) Static factor of safety using the MSSTF. FAX 6000 N FAmin 6000 N = 1.25 mm 150 mm 100 mm 250mm (c) Static factor of safety using the DETF. (d) Fatigue factor of safety using the Soderberg A B C D criterion. (e) Fatigue factor of safety using the Goodman criterion. The shaft is made of carbon steel with a yield strength of 350 MPa and a tensile strength of 830 MPa (120 ksi). It has a machined surface finish. Assume no elevated temperatures and a reliability of 50% (C+= CR = 1.0). Problem 2 Answers (b) nc,MSSTF (c) n.C.DETF (d) ngcsod (e) nood