This chapter deals with the application of plasticity theory to bending and forming processes. The chapter begins by introducing the concept of plastic bending, followed by a discussion on the bending of beams and plates.
The Theory of Plasticity by Chakrabarty is a comprehensive textbook that provides an in-depth treatment of the subject. Here's a detailed write-up of the solution manual for Chapter 23: solution manual theory of plasticity chakrabarty.23
The author then extends the analysis to beams with I-sections, which are commonly used in engineering practice. He presents a detailed derivation of the bending moment-curvature relationship for I-sections. This chapter deals with the application of plasticity
The final section of the chapter deals with the plastic forming of metals, where Chakrabarty discusses the various forming processes, such as rolling, forging, and extrusion. He presents the fundamental concepts and theories underlying these processes. Here's a detailed write-up of the solution manual
The chapter then moves on to the plastic bending of plates, where Chakrabarty discusses the behavior of plates under various loading conditions. He presents the governing equations for the plastic bending of plates and provides solutions for specific cases.
In this section, Chakrabarty considers the specific case of circular plates under axisymmetric loading. He derives the expressions for the bending moments and deflections of the plate.