Analysis of Stress and Displacement in Cylinder Rod using FEM

This assignment presents a detailed analysis of stress and displacement in a cylinder rod. The solution utilizes both conventional and Finite Element Method (FEM) approaches. The problem is solved for a cylinder rod with specified conditions, calculating principal stresses, shear stresses, and determining if yielding occurs. The analysis includes the use of a bar element with three nodal points and the derivation of equations to find displacement and stress. The assignment compares the results obtained from different methods and highlights the advantages of FEM for achieving more accurate results by dividing the segment into smaller parts. The conclusion emphasizes the importance of discretization in FEM to improve accuracy and offers insights into how to enhance the analysis by increasing the number of segments. This assignment is designed to help students understand the concepts of stress analysis and the application of FEM in mechanical engineering problems.