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In: Mechanical Engineering

A high carbon steel shaft is used in an engine and subjected to different loads. In...

A high carbon steel shaft is used in an engine and subjected to different loads. In order to analyse the stress in the shaft, consider a rectangular element within the material. This element is subjected to compressive stress of 135 MPa and shear stress of 166MPa in the vertical direction. The compressive stress in the horizontal direction is 176MPa with a shear stress of 115MPa.

d. What will be the difference in the analysis above if there is an additional torsional load (T) and bending moment (M).
e. Show how you can use any theory of failure to design this shaft.
f. What are the challenges of applying the theories of failure in actual engineering practice and as a design engineer, how would you deal with these challenges.

a. Sketch the state of stress on this element.
b. Determine the maximum and minimum normal and shear stresses and their plane of orientation.
c. If the yield strength of the material is 350MPa, Poison’s ratio is 0.32, and factor of safety is 5, determine the diameter of the shaft to avoid failure.

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