A Primer on Finite Element Analysis

This book contains complementary/supplementary material to the textbooks covering comprehensively the theoretical aspects of the subject. This book is written primarily to help the students as a gentle introduction to the practice of FEM. This book contains many 1-D and 2-D problems solved by analytical method, by FEM using hand calculations and by using commercial FEM, ANSYS 12 academic teaching software. Results of all the methods have been compared. This helps the students in building confidence in the method.

1. Introduction to Finite Element Analysis
2. Finite Element Analysis of Axially Loaded Members
3. Finite Element Analysis of Trusses
4. Finite Element Analysis of Beams
5. Stress Analysis of a Rectangular Plate with a Circular Hole
6. Thermal Analysis
7. Fluid Flow Analysis
8. Dynamic Analysis
9. ANSYS Workbench

Chapter 1 contains brief introduction to FEA, theoretical background and its application.

Chapter 2 contains the linear static analysis of bars of constant cross-section, tapered cross-section and stepped bar. In each section different variety of exercise problems are given.

Chapter 3 contains the linear static analysis of trusses. Trusses problems are also selected in such way that each problem is having different boundary conditions to apply.

Chapter 4 contains the linear static analysis of simply supported and cantilever beams. In the chapters 2 to 4 all the problems are considered as one dimensional in nature. Stress analysis of rectangular plate with a circular hole is covered in chapter 5.

In chapter 5 emphasis is given on the concept of exploiting symmetric geometry and symmetric loading conditions. Also stress and deformation plots are given.

Chapter 6 contains the thermal analysis of cylinders and plates. Here both one dimensional and two dimensional problems are considered.

Chapter 7 contains the problems of potential flow distribution over a cylinder and over an airfoil.

Chapter 8 contains the dynamic analysis (modal and transient analysis) of bars and beams.

Chapter 9 contains the introduction to ANSYS Workbench.