This discussion focuses on calculating the residual stress in a beam after bending, utilizing a linear hardening model. The strain is defined as ##\varepsilon_L(x) = \frac{x}{R_0}##, and the stress due to bending is expressed through two cases based on yield strength and Young's Modulus. The relationship between the bending radius and the resulting radius is given by ##\frac{1}{R_0} - \frac{1}{R_r} = \frac{M_b}{EJ}##, where ##M_b## is the bending moment. The residual stress is calculated as ##\sigma_{Res}(x) = \sigma_L(x) - \sigma_b(x)##, where ##\sigma_b(x)## represents the stress after unloading.
PREREQUISITESMechanical engineers, materials scientists, and structural analysts involved in beam design and analysis, particularly those focusing on residual stress and elasto-plastic behavior in materials.
What are the dimensions and material properties of the pipe? Also, to which bending radius do you need?Pradip Kandel said:Thanks, I was confused because of the equations I was unfamiliar with and those functions for Sigma(Stress). Do you have any other worked-out examples pdf that I could follow? Can you suggest any other references please? That would be such a huge help.