Zhang Hou

Second Edition

2015 by Klaus-Jürgen Bathe

January 15, 2015

Preface

We present these exercise solutions to help you using my textbook Finite Element Procedures, 2nd edition, K.J. Bathe, Watertown, MA, 2014. The solutions have been largely prepared by P.-G. Lee, A. Iosilevich, D. Pantuso, X. Wang, K. T. Kim and L. Zhang in my finite element research group at M.I.T. I helped in giving guidance.

We give solutions to the exercises that do not require the use of a computer program. However, to indicate how the exercises in which a finite element program is to be used might be solved, we also include the solutions to three such exercises. For these studies, the computer programs ADINA (for structural analysis) and ADINA CFD (for fluid flow analysis) have been used. These finite element programs are part of the ADINA System, see www.adina.com.

I would like to express my great appreciation for the efforts made by my research group in the preparation of these solutions. While much effort was expended to compile this material, there is of course no certainty that there are no errors. I would be pleased to hear of any error corrections or important improvements to be made in these solutions.

My personal wish is that these exercise solutions will help in learning finite element procedures so that you will experience some of the joy and satisfaction that we have felt working in the field. K.J. Bathe, M.I.T. kjb@mit.edu

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