This document may be printed from the NCEES Web site for ...

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FE

Reference Handbook

9.4 Version for Computer-Based Testing

Copyright ?2013 by NCEES?. All rights reserved.

All NCEES material is copyrighted under the laws of the United States. No part of this publication may be reproduced, stored in a

retrieval system, or transmitted in any form or by any means without the prior written permission of NCEES. Requests for permissions

should be addressed in writing to permissions@.

PO Box 1686

Clemson, SC 29633

800-250-3196



ISBN 978-1-932613-67-4

Printed in the United States of America

Fourth printing June 2016

Edition 9.4

PREFACE

About the Handbook

The Fundamentals of Engineering (FE) exam is computer-based, and the FE Reference Handbook is the only

resource material you may use during the exam. Reviewing it before exam day will help you become familiar

with the charts, formulas, tables, and other reference information provided. You won't be allowed to bring your

personal copy of the Handbook into the exam room. Instead, the computer-based exam will include a PDF

version of the Handbook for your use. No printed copies of the Handbook will be allowed in the exam room.

The PDF version of the FE Reference Handbook that you use on exam day will be very similar to the printed

version. Pages not needed to solve exam questions¡ªsuch as the cover, introductory material, index, and exam

specifications¡ªwill not be included in the PDF version. In addition, NCEES will periodically revise and

update the Handbook, and each FE exam will be administered using the updated version.

The FE Reference Handbook does not contain all the information required to answer every question on the

exam. Basic theories, conversions, formulas, and definitions examinees are expected to know have not been

included. Special material required for the solution of a particular exam question will be included in the

question itself.

Updates on exam content and procedures

is our home on the web. Visit us there for updates on everything exam-related, including

specifications, exam-day policies, scoring, and practice tests. A PDF version of the FE Reference Handbook

similar to the one you will use on exam day is also available there.

Errata

To report errata in this book, send your correction using our chat feature on . We will also post

errata on the website. Examinees are not penalized for any errors in the Handbook that affect an exam

question.

CONTENTS

Units??????????????????????????????????????????????????????????????????????????????????????????????????????????????????? 1

Conversion Factors????????????????????????????????????????????????????????????????????????????????????????????? 2

Ethics?????????????????????????????????????????????????????????????????????????????????????????????????????????????????? 3

Safety?????????????????????????????????????????????????????????????????????????????????????????????????????????????????? 6

Mathematics????????????????????????????????????????????????????????????????????????????????????????????????????? 22

Engineering Probability and Statistics????????????????????????????????????????????????????????????? 37

Chemistry????????????????????????????????????????????????????????????????????????????????????????????????????????? 54

Materials Science/Structure of Matter????????????????????????????????????????????????????????????? 60

Statics??????????????????????????????????????????????????????????????????????????????????????????????????????????????? 67

Dynamics?????????????????????????????????????????????????????????????????????????????????????????????????????????? 72

Mechanics of Materials???????????????????????????????????????????????????????????????????????????????????? 80

Thermodynamics?????????????????????????????????????????????????????????????????????????????????????????????? 87

Fluid mechanics????????????????????????????????????????????????????????????????????????????????????????????? 103

Heat Transfer??????????????????????????????????????????????????????????????????????????????????????????????????? 117

Instrumentation, Measurement, and Controls???????????????????????????????????????????????? 124

Engineering Economics????????????????????????????????????????????????????????????????????????????????? 131

Chemical Engineering???????????????????????????????????????????????????????????????????????????????????? 138

Civil Engineering??????????????????????????????????????????????????????????????????????????????????????????? 146

Environmental Engineering??????????????????????????????????????????????????????????????????????????? 179

Electrical and Computer Engineering???????????????????????????????????????????????????????????? 200

Industrial and Systems Engineering??????????????????????????????????????????????????????????????? 228

Mechanical Engineering????????????????????????????????????????????????????????????????????????????????? 237

Index??????????????????????????????????????????????????????????????????????????????????????????????????????????????? 251

Appendix: FE Exam Specifications................................................................ 257

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