cays below 300 °F. nce limit for this steel with a reliability in the range resulting in a gradient fac d factor, C_ = 1, is appropriate for this

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A spur gear transmission includes a stepped steel shaft as shown in the
figure. The applied torque induces a constant torsion shear stress on the
surface of 120 MPa. The applied bending moment induces an alternating
bending stress on the surface with a magnitude of 100 MPa. These stress
values include the effect of the stress concentration.
r
°C)
M
M
T
T
D
d
The steel has an ultimate strength of 552 MPa and a yield strength of 434
MPa. All of the surfaces are machined, and the hardness is 160 Bhn. The
operating temperature stays below 300 °F.
A. Estimate the endurance limit for this steel with a reliability of 50%.
The shaft diameter is in the range resulting in a gradient factor, CG =
0.9. The bending load factor, CL = 1, is appropriate for this state of
biaxial stress.
B. Given the defined state of stress and the calculated endurance limit,
estimate the safety factor.
Transcribed Image Text:A spur gear transmission includes a stepped steel shaft as shown in the figure. The applied torque induces a constant torsion shear stress on the surface of 120 MPa. The applied bending moment induces an alternating bending stress on the surface with a magnitude of 100 MPa. These stress values include the effect of the stress concentration. r °C) M M T T D d The steel has an ultimate strength of 552 MPa and a yield strength of 434 MPa. All of the surfaces are machined, and the hardness is 160 Bhn. The operating temperature stays below 300 °F. A. Estimate the endurance limit for this steel with a reliability of 50%. The shaft diameter is in the range resulting in a gradient factor, CG = 0.9. The bending load factor, CL = 1, is appropriate for this state of biaxial stress. B. Given the defined state of stress and the calculated endurance limit, estimate the safety factor.
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