The shaft below is an engine component that is rotating. It is machined from an unknown ductile material with a measured ultimate tensile strength of 700 MPa. Answer the questions below assuming a desired reliability of 99% and a fatigue fraction, f, of 0.9. Round all values and answers to 2 decimal places Determine the maximum stress in the shaft due to the applied loading (hint: what is the maximum moment?) Estimate the endurance limit (hint: what is the relationship between Se and Sut and don’t forget any necessary modifying factors.) Determine the number of cycles to failure.
Design Against Fluctuating Loads
Machine elements are subjected to varieties of loads, some components are subjected to static loads, while some machine components are subjected to fluctuating loads, whose load magnitude tends to fluctuate. The components of a machine, when rotating at a high speed, are subjected to a high degree of load, which fluctuates from a high value to a low value. For the machine elements under the action of static loads, static failure theories are applied to know the safe and hazardous working conditions and regions. However, most of the machine elements are subjected to variable or fluctuating stresses, due to the nature of load that fluctuates from high magnitude to low magnitude. Also, the nature of the loads is repetitive. For instance, shafts, bearings, cams and followers, and so on.
Design Against Fluctuating Load
Stress is defined as force per unit area. When there is localization of huge stresses in mechanical components, due to irregularities present in components and sudden changes in cross-section is known as stress concentration. For example, groves, keyways, screw threads, oil holes, splines etc. are irregularities.
- The shaft below is an engine component that is rotating. It is machined from an unknown ductile material with a measured ultimate tensile strength of 700 MPa. Answer the questions below assuming a desired reliability of 99% and a fatigue fraction, f, of 0.9. Round all values and answers to 2 decimal places
- Determine the maximum stress in the shaft due to the applied loading (hint: what is the maximum moment?)
- Estimate the endurance limit (hint: what is the relationship between Se and Sut and don’t forget any necessary modifying factors.)
- Determine the number of cycles to failure.
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