It can be shown that the point of the highest stress is on the outside of the shaft, just next to the smaller sprocket and that the stress at this point, if we ignore stress concentrations, is 14.1 MPa -68.8 MPa The shaft is made of an isotropic ductile steel with yield stress of 220 MPa. Determine the factor of safety against failure using both the Tresca and Von Mises yield criteria. Note, in this context, factor of safety refers to the multiplier by which the yield stress of the material exceeds the demand placed upon it, where a value less than 1.0 indicates failure. Reflection: Which failure criterion - Von Mises or Tresca- has produced the more conservative results?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 19.1
The shaft shown in the following diagram is supported by two self-aligning bearings at A and B and is
subjected to the loads shown on the chain sprockets.
50 mm
100 mm.
100 mm
F
30 mm
3000 N
100 mm
50 mm
Transcribed Image Text:Problem 19.1 The shaft shown in the following diagram is supported by two self-aligning bearings at A and B and is subjected to the loads shown on the chain sprockets. 50 mm 100 mm. 100 mm F 30 mm 3000 N 100 mm 50 mm
It can be shown that the point of the highest stress is on the outside of the shaft, just next to the smaller
sprocket and that the stress at this point, if we ignore stress concentrations, is
14.1 MPa
-68.8 MPa
The shaft is made of an isotropic ductile steel with yield stress of 220 MPa. Determine the factor of safety
against failure using both the Tresca and Von Mises yield criteria. Note, in this context, factor of safety
refers to the multiplier by which the yield stress of the material exceeds the demand placed upon it, where a
value less than 1.0 indicates failure.
Reflection:
Which failure criterion - Von Mises or Tresca- has produced the more conservative results?
Transcribed Image Text:It can be shown that the point of the highest stress is on the outside of the shaft, just next to the smaller sprocket and that the stress at this point, if we ignore stress concentrations, is 14.1 MPa -68.8 MPa The shaft is made of an isotropic ductile steel with yield stress of 220 MPa. Determine the factor of safety against failure using both the Tresca and Von Mises yield criteria. Note, in this context, factor of safety refers to the multiplier by which the yield stress of the material exceeds the demand placed upon it, where a value less than 1.0 indicates failure. Reflection: Which failure criterion - Von Mises or Tresca- has produced the more conservative results?
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