Examples

Ex$.1$: Determine the bending moment M and the corresponding radius of curvature $($a$)$ when yield first occurs, $($b$)$ when the flanges have just become fully plastic. Assume that the material is elastic perfectly plastic with a yield strength of $250$ MPa and the modulus of elasticity of $200$ GPa $.$ The beam is subjected to pure bending and is bent about its horizontal axis.