Applied science and engineering problems are complex in nature. The finite element method (FEM) is an approximate solution method that is applied to analyze problems at a continuum scale. The finite element method can also be employed for the optimization process before the prototype test. Looking at the importance of the subject, this book is targeted at the audience who wants to learn the concepts of finite element analysis from the very basics. Undergraduate First or Second-year students who are trying to learn the concepts and skills using finite element analysis software can find this book very useful. In this book, the modeling, analysis, and post-processing of the results of a few basic problems are provided. These are very common for engineering students in their initial years. We are using commercial finite element software, ABAQUS. The licensed version of the software is available at Manipal University which has been used to solve the example problems. In this volume of the book, we have discussed the concept and formulations of the finite element method to solve the simple structural, thermal, and dynamics (vibration) one-dimensional problem. The solutions are compared with the results obtained from basic theoretical formulations.
It also provides tutorials to use ABAQUS solving these problems. 2-D, and 3-D problems, and their modeling methodologies using ABAQUS has also been discussed with a few example problems. Details on 2-D and 3-D engineering problems will be covered in the next volume of this book.
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