to accompany
Principles of Highway Engineering and Traffic Analysis, 4e
By
Fred L. Mannering, Scott S. Washburn, and Walter P. Kilareski
Chapter 2
Road Vehicle Performance
U.S. Customary Units
Copyright © 2008, by John Wiley & Sons, Inc. All rights reserved.
Solutionss5Manual
,Preface
Thes5solutionss5tos5thes5fourths5editions5ofs5Principless5ofs5Highways5Engineerings5ands5Traffics
1
5Analysiss5weres5prepareds5withs5thes5Mathcad s5softwares5program.s 5 Yous5wills5notices5several
s5notations5conventionss5thats5yous5mays5nots5bes5familiars5withs5ifs5yous5ares5nots5as5Mathcads5
user.s 5 Mosts5ofs5theses5notations5conventionss5ares5self-
explanatorys5ors5easilys5understood.s 5 Thes5mosts5commons5Mathcads5specifics5notationss5ins5th
eses5solutionss5relates5tos5thes5equalss5sign.s 5 Yous5wills5notices5thes5equalss5signs5beings5useds5i
ns5threes5differents5contexts,s5ands5Mathcads5usess5threes5differents5notationss5tos5distinguishs5be
tweens5eachs5ofs5theses5contexts.s 5 Thes5differencess5betweens5theses5equalss5signs5notationss5ar
es5explaineds5ass5follows.
Thes5‘:=’s5(colon-
equals)s5iss5ans5assignments5operator,s5thats5is,s5thes5values5ofs5thes5variables5ors5expres
sions5ons5thes5lefts5sides5ofs5‘:=’iss5sets5equals5tos5thes5values5ofs5thes5expressions5ons5t
hes5rights5side.s 5 Fors5example,s5ins5thes5statement,s5Ls5:=s51234,s5thes5variables5‘L’s5iss
5assigneds5(i.e.,s5sets5equals5to)s5thes5values5ofs51234.s 5 Anothers5examples5iss5xs5:=s5ys5
+s5z.s 5 Ins5thiss5case,s5xs5iss5assigneds5thes5values5ofs5ys5+s5z.
Thes5‘=’s5(bolds5equals)s5iss5useds5whens5thes5Mathcads5functions5solvers5wass5useds5tos5
finds5thes5values5ofs5as5variables5ins5thes5equation.s 5 Fors5example,s5ins5thes5equation
,s5thes5=s5iss5useds5tos5tells5Mathcads5thats5thes5values5ofs5thes5expressions5ons5thes5lefts5
sides5needss5tos5equals5thes5values5ofs5thes5expressions5ons5thes5rights5side.
Thus,s5thes5Mathcads5solvers5cans5bes5employeds5tos5finds5as5values5fors5thes5variables5‘t
’s5thats5satisfiess5thiss5relationship.s 5 Thiss5particulars5examples5iss5froms5as5problems5wh
eres5thes5functions5fors5arrivalss5ats5somes5times5‘t’s5iss5sets5equals5tos5thes5functions5fors5
departuress5ats5somes5times5‘t’s5tos5finds5thes5times5tos5queues5clearance.
Thes5‘=’s5(standards5equals)s5iss5useds5fors5as5simples5numerics5evaluation.s 5 Fors5examp
le,s5referrings5tos5thes5xs5:=s5ys5+s5zs5assignments5useds5previously,s5ifs5thes5values5ofs5ys
5wass510s5[eithers5bys5assignments5(withs5:=),s5ors5thes5results5ofs5ans5equations5solutions5
(throughs5thes5uses5ofs5=)s5ands5thes5values5ofs5zs5wass515,s5thens5thes5expressions5‘xs5=’s
5woulds5yields525.s 5 Anothers5examples5woulds5bes5ass5follows:s 5 ss5:=s51800/3600,s5wit
hs5ss5=s50.5.s 5 Thats5is,s5‘s’s5wass5assigneds5thes5values5ofs51800s5divideds5bys53600s5(u
sings5:=),s5whichs5equalss50.5s5(ass5givens5bys5usings5=).
Anothers5symbols5yous5wills5sees5frequentlys5iss5‘’.s 5 Ins5theses5solutions,s5its5iss5useds5tos5pe
rforms5ans5evaluations5ofs5ans5assignments5expressions5ins5as5singles5statement.s 5 Fors5example,s
5ins5thes5following
statement,s 5 ,s5Q(t)s5iss5assigneds5thes5values5of
Arrivals(t)s5–s5Departures(t),s5ands5thiss5evaluatess5tos52.2ts5–s50.10t2.
Finally,s5tos5assists5ins5quicklys5identifyings5thes5finals5answer,s5ors5answers,s5fors5whats5iss5bein
gs5askeds5ins5thes5problems5statement,s5yellows5highlightings5hass5beens5useds5(whichs5wills5pri
nts5ass5lights5gray).
Solutionss5Manuals5tos5accompanys5Principless5ofs5Highways5Engineerings5ands5Traffics5An
alysis,s54e,s5bys5Freds5L.s5Mannering,s5Scotts5S.s5Washburn,s5ands5Walters5P.s5Kilareski.
Copyrights5©s52008,s5bys5Johns5Wileys5&s5Sons,s5Inc.s 5 Alls5rightss5reserved.
,1
s5www.mathcad.com
Solutionss5Manuals5tos5accompanys5Principless5ofs5Highways5Engineerings5ands5Traffics5An
alysis,s54e,s5bys5Freds5L.s5Mannering,s5Scotts5S.s5Washburn,s5ands5Walters5P.s5Kilareski.
Copyrights5©s52008,s5bys5Johns5Wileys5&s5Sons,s5Inc.s 5 Alls5rightss5reserved.
, Solutionss5Manuals5tos5accompanys5Principless5ofs5Highways5Engineerings5ands5Traffics5An
alysis,s54e,s5bys5Freds5L.s5Mannering,s5Scotts5S.s5Washburn,s5ands5Walters5P.s5Kilareski.
Copyrights5©s52008,s5bys5Johns5Wileys5&s5Sons,s5Inc.s 5 Alls5rightss5reserved.
Principles of Highway Engineering and Traffic Analysis, 4e
By
Fred L. Mannering, Scott S. Washburn, and Walter P. Kilareski
Chapter 2
Road Vehicle Performance
U.S. Customary Units
Copyright © 2008, by John Wiley & Sons, Inc. All rights reserved.
Solutionss5Manual
,Preface
Thes5solutionss5tos5thes5fourths5editions5ofs5Principless5ofs5Highways5Engineerings5ands5Traffics
1
5Analysiss5weres5prepareds5withs5thes5Mathcad s5softwares5program.s 5 Yous5wills5notices5several
s5notations5conventionss5thats5yous5mays5nots5bes5familiars5withs5ifs5yous5ares5nots5as5Mathcads5
user.s 5 Mosts5ofs5theses5notations5conventionss5ares5self-
explanatorys5ors5easilys5understood.s 5 Thes5mosts5commons5Mathcads5specifics5notationss5ins5th
eses5solutionss5relates5tos5thes5equalss5sign.s 5 Yous5wills5notices5thes5equalss5signs5beings5useds5i
ns5threes5differents5contexts,s5ands5Mathcads5usess5threes5differents5notationss5tos5distinguishs5be
tweens5eachs5ofs5theses5contexts.s 5 Thes5differencess5betweens5theses5equalss5signs5notationss5ar
es5explaineds5ass5follows.
Thes5‘:=’s5(colon-
equals)s5iss5ans5assignments5operator,s5thats5is,s5thes5values5ofs5thes5variables5ors5expres
sions5ons5thes5lefts5sides5ofs5‘:=’iss5sets5equals5tos5thes5values5ofs5thes5expressions5ons5t
hes5rights5side.s 5 Fors5example,s5ins5thes5statement,s5Ls5:=s51234,s5thes5variables5‘L’s5iss
5assigneds5(i.e.,s5sets5equals5to)s5thes5values5ofs51234.s 5 Anothers5examples5iss5xs5:=s5ys5
+s5z.s 5 Ins5thiss5case,s5xs5iss5assigneds5thes5values5ofs5ys5+s5z.
Thes5‘=’s5(bolds5equals)s5iss5useds5whens5thes5Mathcads5functions5solvers5wass5useds5tos5
finds5thes5values5ofs5as5variables5ins5thes5equation.s 5 Fors5example,s5ins5thes5equation
,s5thes5=s5iss5useds5tos5tells5Mathcads5thats5thes5values5ofs5thes5expressions5ons5thes5lefts5
sides5needss5tos5equals5thes5values5ofs5thes5expressions5ons5thes5rights5side.
Thus,s5thes5Mathcads5solvers5cans5bes5employeds5tos5finds5as5values5fors5thes5variables5‘t
’s5thats5satisfiess5thiss5relationship.s 5 Thiss5particulars5examples5iss5froms5as5problems5wh
eres5thes5functions5fors5arrivalss5ats5somes5times5‘t’s5iss5sets5equals5tos5thes5functions5fors5
departuress5ats5somes5times5‘t’s5tos5finds5thes5times5tos5queues5clearance.
Thes5‘=’s5(standards5equals)s5iss5useds5fors5as5simples5numerics5evaluation.s 5 Fors5examp
le,s5referrings5tos5thes5xs5:=s5ys5+s5zs5assignments5useds5previously,s5ifs5thes5values5ofs5ys
5wass510s5[eithers5bys5assignments5(withs5:=),s5ors5thes5results5ofs5ans5equations5solutions5
(throughs5thes5uses5ofs5=)s5ands5thes5values5ofs5zs5wass515,s5thens5thes5expressions5‘xs5=’s
5woulds5yields525.s 5 Anothers5examples5woulds5bes5ass5follows:s 5 ss5:=s51800/3600,s5wit
hs5ss5=s50.5.s 5 Thats5is,s5‘s’s5wass5assigneds5thes5values5ofs51800s5divideds5bys53600s5(u
sings5:=),s5whichs5equalss50.5s5(ass5givens5bys5usings5=).
Anothers5symbols5yous5wills5sees5frequentlys5iss5‘’.s 5 Ins5theses5solutions,s5its5iss5useds5tos5pe
rforms5ans5evaluations5ofs5ans5assignments5expressions5ins5as5singles5statement.s 5 Fors5example,s
5ins5thes5following
statement,s 5 ,s5Q(t)s5iss5assigneds5thes5values5of
Arrivals(t)s5–s5Departures(t),s5ands5thiss5evaluatess5tos52.2ts5–s50.10t2.
Finally,s5tos5assists5ins5quicklys5identifyings5thes5finals5answer,s5ors5answers,s5fors5whats5iss5bein
gs5askeds5ins5thes5problems5statement,s5yellows5highlightings5hass5beens5useds5(whichs5wills5pri
nts5ass5lights5gray).
Solutionss5Manuals5tos5accompanys5Principless5ofs5Highways5Engineerings5ands5Traffics5An
alysis,s54e,s5bys5Freds5L.s5Mannering,s5Scotts5S.s5Washburn,s5ands5Walters5P.s5Kilareski.
Copyrights5©s52008,s5bys5Johns5Wileys5&s5Sons,s5Inc.s 5 Alls5rightss5reserved.
,1
s5www.mathcad.com
Solutionss5Manuals5tos5accompanys5Principless5ofs5Highways5Engineerings5ands5Traffics5An
alysis,s54e,s5bys5Freds5L.s5Mannering,s5Scotts5S.s5Washburn,s5ands5Walters5P.s5Kilareski.
Copyrights5©s52008,s5bys5Johns5Wileys5&s5Sons,s5Inc.s 5 Alls5rightss5reserved.
, Solutionss5Manuals5tos5accompanys5Principless5ofs5Highways5Engineerings5ands5Traffics5An
alysis,s54e,s5bys5Freds5L.s5Mannering,s5Scotts5S.s5Washburn,s5ands5Walters5P.s5Kilareski.
Copyrights5©s52008,s5bys5Johns5Wileys5&s5Sons,s5Inc.s 5 Alls5rightss5reserved.
