010 Residual Stress And Permanent Strain In Pure Bending

The shown rectangular cross-section is made of an elastic, perfectly plastic material.

1. Determine the elastic and plastic bending moment.
2. If the cross-section is under a bending moment of 50kN.m, what is the depth of the elastic section?
3. If the applied bending moment is removed from the cross-section, determine the residual stress on the cross-section.
4. Derive the relation between the bending moment and the maximum strain of the cross-section on its edge.
5. Sketch the function of bending moment with the dependent variable of the furthest edge strain. Clearly show the linear and non-linear behavior of the cross-section.
6. Determine the permanent strain of the furthest cross-section edge considering two methods. First, with the derived graph from part e. Second, with the stress-strain diagram.
7. Cross-check your calculation with the permanent strain.

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