A Circular bar of 600 mm length is supported freely at its ends. It is acted upon by a central concentrated cyclic load having a minimum value of 30 KN and a maximum value of 80 KN . Determine the diameters of bar by taking a safety factor 2.1 , size factor 0.82 and surface finish factor of 0.89 . Assume the material properties are as follows: ultimate strength of 640 MPa , yield strength of 480 MPa and Endurance strength of 380 Mpa .
Explanation
The diameter of the bar can be calculated using the formula for the endurance limit of a circular bar under cyclic loading. The formula is d = sqrt((4 \* F_m) / (π \* σ_e \* n)), where d is the diameter of the bar, F_m is the maximum load, σ_e is the endurance strength, and n is the safety factor. Substituting the given values, we get the diameter of the bar as 31 mm.
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