A stepped steel shaft, shown below, is used in a spur gear reducer. The shaft is subjected to a constant axial stress (A=40 MPa), a constant bending stress due to loads by bearings and gears (M=60 MPa), and a steady torque (T-80 MPa) during shaft rotation. Neglect the stress concentration factors (we will cover this next week) that result from the stepped shaft geometry. The shaft is made of steel with Su=1006 MPa, Sy=648 MPa, and HB-229. The size of the shaft results in a gradient factor of CG=0.9. The shaft has a fine-ground finish. A 95% reliability is required. Calculate the safety factor relative to infinite life (10 cycles). If the safety factor is less than one (i.e., shaft fails), find the number of cycles to failure.

A stepped steel shaft, shown below, is used in a spur gear reducer. The shaft is subjected to a constant axial stress (A=40 MPa), a constant bending stress due to loads by bearings and gears (M=60 MPa), and a steady torque (T-80 MPa) during shaft rotation. Neglect the stress concentration factors (we will cover this next week) that result from the stepped shaft geometry. The shaft is made of steel with Su=1006 MPa, Sy=648 MPa, and HB-229. The size of the shaft results in a gradient factor of CG=0.9. The shaft has a fine-ground finish. A 95% reliability is required. Calculate the safety factor relative to infinite life (10 cycles). If the safety factor is less than one (i.e., shaft fails), find the number of cycles to failure.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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