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FUNDAMENTALS OF ENGINEERING

SUPPLIED-REFERENCE HANDBOOK

National Council of Examiners

for Engineering and Surveying

Eighth

Edition

REVISED

This document may be downloaded from the NCEES Web site, but it may not be copied, reproduced, or posted online without the express written permission of the National Council of Examiners for

Engineering and Surveying

(NCEES

Published by the

National Council of Examiners for Engineering and Surveying

280 Seneca Creek Road, Clemson, SC 29631 800-250-3196 www.ncees.org

©2008 by the National Council of Examiners for Engineering and Surveying . All rights reserved.

ISBN 978-1-932613-37-7

Printed in the United States of America

April 2010

Revised

PREFACE

The Fundamentals of Engineering (FE) examination was developed by the National Council of Examiners for Engineering

and Surveying (NCEES) as the Ürst step toward professional engineering licensure. It is designed for students completing

morning and the other in the afternoon. The morning session tests the subject matter covered by the Ürst 90 semester

credit hours of engineering coursework, while the afternoon session tests upper-division subject knowledge covering the

remainder of required degree coursework.

The FE Supplied-Reference Handbook is the only reference material allowed during the examination. A copy of this

handbook will be made available to each examinee during the exam and returned to the proctor before leaving the exam

room at the conclusion of the administration. Examinees are prohibited from bringing any reference materials with them

to the exam. As well, examinees are prohibited from writing in the Reference Handbook during the exam administration.

of the NCEES FE Sample Questions and Solutions books or online practice exams, all of which may be purchased by

calling (800) 250-3196 or visiting our Web site at www.ncees.org. The material included in the FE Supplied-Reference

Handbook is not all-encompassing or exhaustive. NCEES in no event shall be liable for not providing reference material

to support all the questions in the FE exam. Some of the basic theories, conversions, formulas, and deÜnitions examinees

are expected to know have not been included. Furthermore, the FE Supplied-Reference Handbook may not contain some

in the question itself.

In the interest of constant improvement, NCEES reserves the right to revise and update the FE Supplied-Reference

Handbook as it deems appropriate. Each FE exam will be administered using the latest version of the FE Supplied-

Reference Handbook. To report suspected errata in this book, please e-mail your correction using our online feedback

form. Examinees are not penalized for any errors in the Reference Handbook that affect an exam question.

For current exam speciÜcations, a list of approved calculators, study materials, errata, guidelines for special

accommodations requests, and other information about the exams and the licensure process, visit www.ncees.org or

call (800) 250-3196. iii

TABLE OF CONTENTS

Exam SpeciÜcations ......................................................................................................1

Units ............................................................................................................................19

Conversion Factors .....................................................................................................20

Mathematics ................................................................................................................21

Mechanics of Materials ...............................................................................................33

Engineering Probability and Statistics ........................................................................40

Statics ..........................................................................................................................49

Dynamics ....................................................................................................................54

Fluid Mechanics ..........................................................................................................62

Thermodynamics .........................................................................................................73

Heat Transfer ...............................................................................................................84

Transport Phenomena .................................................................................................90

Biology ........................................................................................................................91

Chemistry ..................................................................................................................100

Materials Science/Structure of Matter ......................................................................104

Computer Spreadsheets .............................................................................................109

Measurement and Controls .......................................................................................110

Engineering Economics ............................................................................................114

Ethics .........................................................................................................................121

Chemical Engineering ...............................................................................................123

Civil Engineering ......................................................................................................134

Environmental Engineering ......................................................................................170

Electrical and Computer Engineering .......................................................................193

Industrial Engineering ...............................................................................................215

Mechanical Engineering ...........................................................................................231

Index .........................................................................................................................249

v 1

Fundamentals of Engineering (FE) Examination

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