fundamentals of engineering supplied-reference handbook - Ventech!

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PREFACE The Fundamentals of Engineering (FE) Supplied-Reference Handbook is the only reference material allowed in the FE examination. Many examinees find that it is helpful to review this book before exam day to become familiar with the reference material it contains. If you have purchased or downloaded the Reference Handbook before the examination, you will not be allowed to take it with you into the exam room. Instead, the examination proctor will issue a new copy to each examinee shortly before testing begins. During the exam, you are allowed to write only on your answer sheet and in your exam book; you may not write in the Reference Handbook since it is often retained by universities and used for study purposes. The Reference Handbook contains only reference formulas and tables; it does not contain sample examination questions. Many commercially available books contain worked examples and sample questions to help you prepare for the examination. NCEES provides sample questions and solutions in various formats to help you become familiar with the types of exam questions and the level of difficulty of the examination. The Reference Handbook is not designed to assist in all parts of the FE examination. For example, some of the basic theories, conversion, formulas, and definitions that examinees are expected to know are not included. Special material required for the solution of a particular examination question will be included in the question statement itself. In no event will NCEES be liable for not providing reference material to support all the questions in the FE examination. In the interest of constant improvement, 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. To report suspected errata for this book, please e-mail your correction using our online feedback form. Errata will be posted on our Web site. Examinees are not penalized for any errors in the Reference Handbook that affect an examination question. UPDATES TO EXAMINATION INFORMATION For current exam specifications, study materials and errata, a list of calculators that may be used at the exam, guidelines for requesting special testing accommodations, and other information about exams and licensure, visit the NCEES Web site at www.ncees.org or call us at 800-250-3196. iii
CONTENTS Units...........................................................................................................................................1 Conversion Factors ....................................................................................................................2 Mathematics...............................................................................................................................3 Engineering Probability and Statistics.....................................................................................15 Statics.......................................................................................................................................24 Dynamics .................................................................................................................................29 Mechanics of Materials............................................................................................................38 Fluid Mechanics.......................................................................................................................44 Thermodynamics......................................................................................................................56 Heat Transfer ...........................................................................................................................67 Transport Phenomena ..............................................................................................................73 Biology.....................................................................................................................................74 Chemistry.................................................................................................................................78 Materials Science/Structure of Matter .....................................................................................82 Measurement and Controls ......................................................................................................87 Computer Spreadsheets............................................................................................................91 Engineering Economics ...........................................................................................................92 Ethics........................................................................................................................................99 Chemical Engineering............................................................................................................101 Civil Engineering...................................................................................................................111 Environmental Engineering ...................................................................................................143 Electrical and Computer Engineering....................................................................................167 Industrial Engineering............................................................................................................189 Mechanical Engineering ........................................................................................................203 Index ......................................................................................................................................219 School/Institution Codes........................................................................................................226 v
Page 1 and 2: FUNDAMENTALS OF ENGINEERING SUPPLIE
Page 3: Published by the National Council o
Page 7 and 8: CONVERSION FACTORS Multiply By To O
Page 9 and 10: Case 4. Circle e = 0: (x - h) 2 + (
Page 11 and 12: MATRICES A matrix is an ordered rec
Page 13 and 14: Taylor's Series f ( x) = f ( a) ( a
Page 15 and 16: MENSURATION OF AREAS AND VOLUMES No
Page 17 and 18: CENTROIDS AND MOMENTS OF INERTIA Th
Page 19 and 20: Numerical Integration Three of the
Page 21 and 22: PROBABILITY FUNCTIONS A random vari
Page 23 and 24: HYPOTHESIS TESTING Consider an unkn
Page 25 and 26: ENGINEERING PROBABILITY AND STATIST
Page 27 and 28: 22 CRITICAL VALUES OF THE F DISTRIB
Page 29 and 30: FORCE A force is a vector quantity.
Page 31 and 32: 26 y y y y y y C Figure Area & Cent
Page 33 and 34: 28 y y y Figure Area & Centroid Are
Page 35 and 36: Normal and Tangential Components y
Page 37 and 38: M is the moment applied to the part
Page 39 and 40: The figure shows a fourbar slider-c
Page 41 and 42: It may also be shown that the undam
Page 43 and 44: UNIAXIAL STRESS-STRAIN Stress-Strai
Page 45 and 46: STATIC LOADING FAILURE THEORIES Bri
Page 47 and 48: Using the stress-strain relationshi
Page 49 and 50: DENSITY, SPECIFIC VOLUME, SPECIFIC
Page 51 and 52: The Field Equation is derived when
Page 53 and 54: Specific fittings have characterist
Page 55 and 56:
FLUID MEASUREMENTS The Pitot Tube -
Page 57 and 58:
DIMENSIONAL HOMOGENEITY AND DIMENSI
Page 59 and 60:
MOODY (STANTON) DIAGRAM e, (ft) e,
Page 61 and 62:
PROPERTIES OF SINGLE-COMPONENT SYST
Page 63 and 64:
Mixers, Separators, Open or Closed
Page 65 and 66:
SECOND LAW OF THERMODYNAMICS Therma
Page 67 and 68:
Temp. o C T 0.01 5 10 15 20 25 30 3
Page 69 and 70:
P-h DIAGRAM FOR REFRIGERANT HFC-134
Page 71 and 72:
Gases Substance Air Argon Butane Ca
Page 73 and 74:
RADIATION The radiation emitted by
Page 75 and 76:
Use the cylinder diameter in the ev
Page 77 and 78:
Shape Factor Relations Reciprocity
Page 79 and 80:
For more information on Biology see
Page 81 and 82:
Stoichiometry of Selected Biologica
Page 83 and 84:
Avogadro's Number: The number of el
Page 85 and 86:
80 Specific Example IUPAC Name Comm
Page 87 and 88:
MATERIALS SCIENCE/STRUCTURE OF MATT
Page 89 and 90:
HARDENABILITY Hardenability is the
Page 91 and 92:
POLYMERS Classification of Polymers
Page 93 and 94:
Signal Conditioning Signal conditio
Page 95 and 96:
An alternative form commonly employ
Page 97 and 98:
ENGINEERING ECONOMICS Factor Name C
Page 99 and 100:
ENGINEERING ECONOMICS (continued) 9
Page 101 and 102:
Page 103 and 104:
Page 105 and 106:
B. LICENSEE’S OBLIGATION TO EMPLO
Page 107 and 108:
Common Names and Molecular Formulas
Page 109 and 110:
For mixtures of ideal gases: fi o =
Page 111 and 112:
Distillation Definitions: α = rela
Page 113 and 114:
Cost Segments of Fixed-Capital Inve
Page 115 and 116:
Concentrations of Vaporized Liquids
Page 117 and 118:
COARSE- GRAINED SOILS More than 50%
Page 119 and 120:
STRUCTURAL ANALYSIS Influence Lines
Page 121 and 122:
Pu A's As Mu A's As UNIFIED DESIGN
Page 123 and 124:
SHORT COLUMNS Limits for main reinf
Page 125 and 126:
GRAPH A.15 Column strength interact
Page 127 and 128:
BEAMS: homogeneous beams, flexure a
Page 129 and 130:
124 CIVIL ENGINEERING (continued) B
Page 131 and 132:
126 CIVIL ENGINEERING (continued) A
Page 133 and 134:
Fy = 50 ksi φb = 0.9 φv = 0.9 Sha
Page 135 and 136:
♦ 50.0 1.0 10.0 5.0 3.0 0.9 2.0 1
Page 137 and 138:
ALLOWABLE STRESS DESIGN SELECTION T
Page 139 and 140:
Kl r ASD Table C-50. Allowable Stre
Page 141 and 142:
Open-Channel Flow Specific Energy 2
Page 143 and 144:
Transportation Models See INDUSTRIA
Page 145 and 146:
VERTICAL CURVE FORMULAS L = Length
Page 147 and 148:
EARTHWORK FORMULAS Average End Area
Page 149 and 150:
, METERS , METERS 144 ENVIRONMENTAL
Page 151 and 152:
Cyclone Cyclone Collection (Particl
Page 153 and 154:
FATE AND TRANSPORT Microbial Kineti
Page 155 and 156:
LANDFILL Break-Through Time for Lea
Page 157 and 158:
152 ENVIRONMENTAL ENGINEERING (cont
Page 159 and 160:
No. 1 2 3 4 5 6 7 8 9 10 11 12 13 1
Page 161 and 162:
Exposure Residential Exposure Equat
Page 163 and 164:
TOXICOLOGY Dose-Response Curves The
Page 165 and 166:
♦ Aerobic Digestion Design criter
Page 167 and 168:
where R Cin = stripping factor H′
Page 169 and 170:
Bed Expansion Monosized Multisized
Page 171 and 172:
Stokes' Law V t 2 ( ρp − ρf ) g
Page 173 and 174:
Resistors in Series and Parallel Fo
Page 175 and 176:
RC AND RL TRANSIENTS v R + V 1 −
Page 177 and 178:
AC Machines The synchronous speed n
Page 179 and 180:
LAPLACE TRANSFORMS The unilateral L
Page 181 and 182:
Fourier Transform Pairs x(t) X(f) 1
Page 183 and 184:
FM (Frequency Modulation) The phase
Page 185 and 186:
180 ELECTRICAL AND COMPUTER ENGINEE
Page 187 and 188:
OPERATIONAL AMPLIFIERS Ideal v2 vo
Page 189 and 190:
Page 191 and 192:
Page 193 and 194:
FLIP-FLOPS A flip-flop is a device
Page 195 and 196:
Standard Deviation Charts n A3 B3 B
Page 197 and 198:
LINEAR REGRESSION Least Squares bx
Page 199 and 200:
ERGONOMICS NIOSH Formula Recommende
Page 201 and 202:
PERT (aij, bij, cij) = (optimistic,
Page 203 and 204:
HYPOTHESIS TESTING Table A. Tests o
Page 205 and 206:
ERGONOMICS U.S. Civilian Body Dimen
Page 207 and 208:
202 INDUSTRIAL ENGINEERING (continu
Page 209 and 210:
The deflection θ and moment Fr are
Page 211 and 212:
Failure by crushing of rivet or mem
Page 213 and 214:
Only the tangential component Wt tr
Page 215 and 216:
Cooling and Dehumidification ω Q
Page 217 and 218:
Cycles and Processes Internal Combu
Page 219 and 220:
Steam Trap Junction Pump See also T
Page 221 and 222:
Compressor Isentropic Efficiency: w
Page 223 and 224:
Infiltration Air change method ρ c
Page 225 and 226:
compressible fluid, 50 compression
Page 227 and 228:
jet propulsion, 48 JFETs, 182, 184
Page 229 and 230:
esultant, 24 retardation factor R,
Page 231 and 232:
State Code School Alabama Universit
Page 233 and 234:
State Code School Minnesota Univers
Page 235:
State Code School Virginia (Cont'd)
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