Published by
n
Cambridge University Press, 2010
n n n
SOLUTIONS MANUAL
J. N. Reddy
n
Prepared by
n
for
n
n
, SOLUTIONS MANUAL n
for
PRINCIPLES OF CONTINUUM MECHANICS
n n n
A Study of Conservation Principles with Applications
n n n n n n
by
J. N. REDDY
n n
Departmentn ofn Mechanicaln EngineeringnTe
xasn An &n Mn University
CollegenStation,nTexasn77843-3123
Publishednby
CambridgenUniversitynPress,n2010
PROPRIETARY AND CONFIDENTIAL n n
ThisnManualnisnthenproprietarynpropertynofnJ.nN.nReddynandnprotectednbyncop
yrightnandnothernstatenandnfederalnlaws.nThisnManualnisnbeingnprovidednonlyntona
uthorizednprofessorsnandninstructorsnfornuseninnpreparingnfornthenclassesnusi
ngnthenaffiliatedntextbook.nNonothernusenorndistributionnofnthisnManualnisn
permitted.n ThisnManualnmaynnotnbensoldnandnmaynnotnbendistributedntono
rnusednbynanynstudentnornothernthirdnparty.nNonpartnofnthisnManualnmayn
benreproduced,ndisplayednorndistributedninnanynformnornbynanynmeans,nel
ectronicnornotherwise,nwithoutnthenpriornwrittennpermissionnofnJ.nN.nRed
dy.
, PREFACE
Thisnsolutionnmanualnisnpreparedntonaidntheninstructorninndiscussingnthensolutionsntonassi
gnednproblemsnfromnChaptersn2nthroughn7nfromnthenbook,nPrinciplesnofnContinuumnMec
hanics:nAnStudynofnConservationnPrinciplesnwithnApplicationsnbynJ.nN.nReddy,npublish
edn byn Cambridgen Universityn Press,n Newn York,n 2010.
Theninstructornshouldnmakenanneffortntonreviewnthenproblemsnbeforenassigningnth
em.n Thisnallowsntheninstructorntonmakencommentsnandnsuggestionsnonnthenapproachnton
bentakennandnnaturenofnthenanswersnexpected.n Theninstructornmaynwishntongeneratenad
ditionalnproblemsnfromnthosengivenninnthisnbook,nespeciallynwhenntaughtntimenandnag
ainn fromn then samen book.
Thenauthornappreciatesnreceivingncommentsnonnthenbooknandnanlistnofnerrorsnfoundni
nn then bookn asn welln asn inn thisn solutionsn manual.
J.nN.nReddyn
Collegen Station
Thenvaluenthenworldnsetsnuponnmotivesnisnoftenngrosslynunjustnandninaccurate.nCo
nsider,nfornexample,ntwonofnthem:nmereninsatiablencuriositynandnthendesirentondong
ood.nThenlatternisnputnhighnaboventhenformer,nandnyetnitnisnthenformernthatnmovesnoneno
fnthenmostnusefulnmennthenhumannracenhasnyetnproduced:nthenscientificninvestigator.nW
hatnactuallynurgesnhimnonnisnnotnsomenbrummagemnideanofnService,nbutnanboundless,n
almostnpathologicalnthirstntonpenetratenthenunknown,ntonuncovernthensecret,ntonfin
dnoutnwhatnhasnnotnbeennfoundnoutnbefore.n Hisnprototypenisnnotnthenliberatornreleasi
ngnslaves,n thengoodnSamaritannliftingnupnthenfallen,n butnandognsniffingntremendouslyn
atnann infiniten seriesn ofn rat-holes.
HenrynLouisnMencken,n(1880-
1956)nb.n Baltimore,nMDnreprintedninnAnMenckennCrestomathy,nVintagenBooks,nNe
wnYork,n1982,np.n 12;nfirstnprintedninnthenSmartnSet,nAug.n 1919,n ppn 60-61.
,
n
Cambridge University Press, 2010
n n n
SOLUTIONS MANUAL
J. N. Reddy
n
Prepared by
n
for
n
n
, SOLUTIONS MANUAL n
for
PRINCIPLES OF CONTINUUM MECHANICS
n n n
A Study of Conservation Principles with Applications
n n n n n n
by
J. N. REDDY
n n
Departmentn ofn Mechanicaln EngineeringnTe
xasn An &n Mn University
CollegenStation,nTexasn77843-3123
Publishednby
CambridgenUniversitynPress,n2010
PROPRIETARY AND CONFIDENTIAL n n
ThisnManualnisnthenproprietarynpropertynofnJ.nN.nReddynandnprotectednbyncop
yrightnandnothernstatenandnfederalnlaws.nThisnManualnisnbeingnprovidednonlyntona
uthorizednprofessorsnandninstructorsnfornuseninnpreparingnfornthenclassesnusi
ngnthenaffiliatedntextbook.nNonothernusenorndistributionnofnthisnManualnisn
permitted.n ThisnManualnmaynnotnbensoldnandnmaynnotnbendistributedntono
rnusednbynanynstudentnornothernthirdnparty.nNonpartnofnthisnManualnmayn
benreproduced,ndisplayednorndistributedninnanynformnornbynanynmeans,nel
ectronicnornotherwise,nwithoutnthenpriornwrittennpermissionnofnJ.nN.nRed
dy.
, PREFACE
Thisnsolutionnmanualnisnpreparedntonaidntheninstructorninndiscussingnthensolutionsntonassi
gnednproblemsnfromnChaptersn2nthroughn7nfromnthenbook,nPrinciplesnofnContinuumnMec
hanics:nAnStudynofnConservationnPrinciplesnwithnApplicationsnbynJ.nN.nReddy,npublish
edn byn Cambridgen Universityn Press,n Newn York,n 2010.
Theninstructornshouldnmakenanneffortntonreviewnthenproblemsnbeforenassigningnth
em.n Thisnallowsntheninstructorntonmakencommentsnandnsuggestionsnonnthenapproachnton
bentakennandnnaturenofnthenanswersnexpected.n Theninstructornmaynwishntongeneratenad
ditionalnproblemsnfromnthosengivenninnthisnbook,nespeciallynwhenntaughtntimenandnag
ainn fromn then samen book.
Thenauthornappreciatesnreceivingncommentsnonnthenbooknandnanlistnofnerrorsnfoundni
nn then bookn asn welln asn inn thisn solutionsn manual.
J.nN.nReddyn
Collegen Station
Thenvaluenthenworldnsetsnuponnmotivesnisnoftenngrosslynunjustnandninaccurate.nCo
nsider,nfornexample,ntwonofnthem:nmereninsatiablencuriositynandnthendesirentondong
ood.nThenlatternisnputnhighnaboventhenformer,nandnyetnitnisnthenformernthatnmovesnoneno
fnthenmostnusefulnmennthenhumannracenhasnyetnproduced:nthenscientificninvestigator.nW
hatnactuallynurgesnhimnonnisnnotnsomenbrummagemnideanofnService,nbutnanboundless,n
almostnpathologicalnthirstntonpenetratenthenunknown,ntonuncovernthensecret,ntonfin
dnoutnwhatnhasnnotnbeennfoundnoutnbefore.n Hisnprototypenisnnotnthenliberatornreleasi
ngnslaves,n thengoodnSamaritannliftingnupnthenfallen,n butnandognsniffingntremendouslyn
atnann infiniten seriesn ofn rat-holes.
HenrynLouisnMencken,n(1880-
1956)nb.n Baltimore,nMDnreprintedninnAnMenckennCrestomathy,nVintagenBooks,nNe
wnYork,n1982,np.n 12;nfirstnprintedninnthenSmartnSet,nAug.n 1919,n ppn 60-61.
,
