Tables of Math, Phisics and Chemistry Engineering Handbook.pdf

N C E E S

FUNDAMENTALS OF ENGINEERING

S UPPLIED- R EFERENCE H ANDBOOK

F IFTH E DITION

N ATIONAL C OUNCIL OF E XAMINERS

FOR E NGINEERING AND S URVEYING

2001 by the National Council of Examiners for Engineering and Surveying ® .

FUNDAMENTALS OF ENGINEERING

S UPPLIED- R EFERENCE H ANDBOOK

F IFTH E DITION

Prepared by

National Council of Examiners for Engineering and Surveying ® (NCEES ® )

280 Seneca Creek Road

P.O. Box 1686

Clemson, SC 29633-1686

Telephone: (800) 250-3196

Fax: (864) 654-6033

www.ncees.org

2001 by the National Council of Examiners for Engineering and Surveying § .

Fifth edition 2001

FOREWORD

During its August 1991 Annual Business Meeting, the National Council of Examiners for Engineering and Surveying (NCEES)

voted to make the Fundamentals of Engineering (FE) examination an NCEES supplied-reference examination. Then during its

August 1994 Annual Business Meeting, the NCEES voted to make the FE examination a discipline-specific examination. As a

result of the 1994 vote, the FE examination was developed to test the lower-division subjects of a typical bachelor engineering

degree program during the morning portion of the examination, and to test the upper-division subjects of a typical bachelor

engineering degree program during the afternoon. The lower-division subjects refer to the first 90 semester credit hours (five

semesters at 18 credit hours per semester) of engineering coursework. The upper-division subjects refer to the remainder of the

engineering coursework.

Since engineers rely heavily on reference materials, the FE Supplied-Reference Handbook will be made available prior to the

examination. The examinee may use this handbook while preparing for the examination. The handbook contains only reference

formulas and tables; no example questions are included. Many commercially available books contain worked examples and

sample questions. An examinee can also perform a self-test using one of the NCEES FE Sample Questions and Solutions books

(a partial examination), which may be purchased by calling (800) 250-3196.

The examinee is not allowed to bring reference material into the examination room. Another copy of the FE Supplied-Reference

Handbook will be made available to each examinee in the room. When the examinee departs the examination room, the FE

Supplied-Reference Handbook supplied in the room shall be returned to the examination proctors.

The FE Supplied-Reference Handbook has been prepared to support the FE examination process. The FE Supplied-Reference

Handbook is not designed to assist in all parts of the FE examination. For example, some of the basic theories, conversions,

formulas, and definitions that examinees are expected to know have not been included. The FE Supplied-Reference Handbook

may not include some special material required for the solution of a particular question. In such a situation, the required special

information will be included in the question statement.

DISCLAIMER: The NCEES in no event shall be liable for not providing reference material to support all the

questions in the FE examination. In the interest of constant improvement, the NCEES reserves the right to

revise and update the FE Supplied-Reference Handbook as it deems appropriate without informing interested

parties. Each NCEES FE examination will be administered using the latest version of the FE Supplied-

Reference Handbook.

So that this handbook can be reused, PLEASE, at the examination site,

DO NOT WRITE IN THIS HANDBOOK .

iii

T ABLE OF C ONTENTS

U NITS ........................................................................................................................................ 1

C ONVERSION F ACTORS ............................................................................................................ 2

M ATHEMATICS .......................................................................................................................... 3

S TATICS .................................................................................................................................... 22

D YNAMICS ............................................................................................................................... 24

M ECHANICS OF M ATERIALS ..................................................................................................... 33

F LUID M ECHANICS ................................................................................................................... 38

T HERMODYNAMICS .................................................................................................................. 47

H EAT T RANSFER ...................................................................................................................... 58

T RANSPORT P HENOMENA ......................................................................................................... 63

C HEMISTRY .............................................................................................................................. 64

M ATERIALS S CIENCE /S TRUCTURE OF M ATTER ........................................................................ 68

E LECTRIC C IRCUITS ................................................................................................................. 72

C OMPUTERS , M EASUREMENT , AND C ONTROLS ........................................................................ 76

E NGINEERING E CONOMICS ....................................................................................................... 79

E THICS ..................................................................................................................................... 86

C HEMICAL E NGINEERING ......................................................................................................... 88

C IVIL E NGINEERING ................................................................................................................. 92

E NVIRONMENTAL E NGINEERING ............................................................................................ 117

E LECTRICAL AND C OMPUTER E NGINEERING .......................................................................... 134

I NDUSTRIAL E NGINEERING ..................................................................................................... 143

M ECHANICAL E NGINEERING .................................................................................................. 155

I NDEX ..................................................................................................................................... 166

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