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The cantilever bar in the figure is made from AISI 1018 CD steel and is statically loaded

The cantilever bar in the figure is made from AISI 1018 CD steel and is statically loaded with Fy = 800 N, and Fx = Fz = 0. The fillet radius at the wall is 2 mm with theoretical stress concentrations of 1.5 for bending, 1.2 for axial, and 2.1 for torsion.

Sut = 440 MPa = 64 kpsi, Sy = 370 MPa = 54 kpsi. Analyze the stress situation in rod AB by obtaining the following information.

a) Determine the precise location of the critical stress element.

b) Sketch the critical stress element and determine magnitudes and directions for all stresses acting on it.

c) For the critical stress element determine the principal stresses and the maximum shear stress.

d) Using both maximum shear stress theory and distortion energy theory determine the minimum factor of safety for yielding, and compare the results.

e) Determine the minimum factor of safety for fatigue based on infinite life using the modified Goodman criterion. If life is not infinite, estimate the number of cycles. The force F is applied as a repeated load.


50 mm 25-mm dia. 6 mm 38 mm 125 mm 150 mm


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