Rods and Trusses

This chapter starts with the analytical description of rod/bar members. Based on the three basic equations of continuum mechanics, i.e. the kinematics relationship, the constitutive law and the equilibrium equation, the partial differential equation, whic

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Computational Statics and Dynamics An Introduction Based on the Finite Element Method

Computational Statics and Dynamics

Andreas Öchsner

Computational Statics and Dynamics An Introduction Based on the Finite Element Method

123

Andreas Öchsner Griffith School of Engineering Griffith University Gold Coast Campus Southport, QLD Australia

ISBN 978-981-10-0732-3 DOI 10.1007/978-981-10-0733-0

ISBN 978-981-10-0733-0

(eBook)

Library of Congress Control Number: 2016933231 © Springer Science+Business Media Singapore 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Science+Business Media Singapore Pte Ltd.

Der Vorteil der Klugheit besteht darin, dass man sich dumm stellen kann. Das Gegenteil ist schon schwieriger. —Kurt Tucholsky (1890–1935)

Preface

This book results from the core course ‘Computational Statics and Dynamics’ (6522ENG) held at Griffith University, Australia, in the scope of the ‘Bachelor of Engineering with Honours in Mechanical Engineering’ degree program. This 13-week course comprises three hours of lectures and two hours of tutorials per week. An additional lab component based on a commercial finite element program is not covered in this textbook. This course is based on the finite element method and located in the third year of the study program. It relies heavily on the fundamental knowledge of the first years of engineering education, i.e., higher mathematics, materials science, applied mechanics, design, and programming skills. This is the reason why many students find this topic difficult to master and this textbook should provide some guidance for success in this course. All derivations in the following chapters follow a common approach: First, the three fundamental equations of continuum mechanics, i.e., the kinematics equation, the constitutive equation, and the equilibrium equation, are combined to construct the partial differential equa

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