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FUNDAMENTALS OF ENGINEERING
SUPPLIED-REFERENCE HANDBOOK
National Council of Examiners
for Engineering and SurveyingEighth
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 forEngineering and Surveying
(NCEESPublished by the
National Council of Examiners for Engineering and Surveying280 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. iiiTABLE 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
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