010 Residual Stress And Permanent Strain In Pure Bending
Channel: SHAHgordi
Date: 2023-04-11

The shown rectangular cross-section is made of an elastic, perfectly plastic material.
a) Determine the elastic and plastic bending moment.
b) If the cross-section is under a bending moment of 50kN.m, what is the depth of the elastic section?
c) If the applied bending moment is removed from the cross-section, determine the residual stress on the cross-section.
d) Derive the relation between the bending moment and the maximum strain of the cross-section on its edge.
e) 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.
f) 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.
g) Cross-check your calculation with the permanent strain.
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Check our Academy page from the link below to see the description and detailed solution notes:
https://shah.fi/en/academy/010-residual-stress-and-permanent-strain-in-pure-bending/
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