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Exercises
Exercise 1:
a) Look up the expected stress concentration for a stepped bar without a fillet, i.e. a discontinuity in the cross-sectional area. Using one-dimensional link or bar elements, create a one-dimensional mesh for the stepped shaft using elements with different cross-sectional areas. Note predictions for the stress in the vicinity of the discontinuity at the sharp re-entrant corner. What do you notice?
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Using an axisymmetric model (as opposed to a full three-dimensional model), qualitatively confirm the relaxation of the stress concentration illustrated in Figure 3.4 of the text.