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Syllabus for GATE Mechanical Engineering (ME) Exam

a) ENGINEERING MATHEMATICSinear Algebra!

Ma"rix algebra# Sys"ems of linear e$ua"ions# Eigen %alues an& eigen %ec"ors'

Calculus!

unc"ions of single %ariable# imi"# con"inui"y an& &ifferen"iabili"y# Mean %alue "heorems#

E%alua"ion of &efini"e an& imroer in"egrals# *ar"ial &eri%a"i%es# To"al &eri%a"i%e# Maxima an&minima# Gra&ien"# +i%ergence an& Curl# ,ec"or i&en"i"ies# +irec"ional &eri%a"i%es# ine# Surface

an& ,olume in"egrals# S"o-es# Gauss an& Greens "heorems'

+ifferen"ial e$ua"ions!irs" or&er e$ua"ions (linear an& nonlinear)# Higher or&er linear &ifferen"ial e$ua"ions .i"h

cons"an" coefficien"s# Cauchys an& Eulers e$ua"ions# Ini"ial an& boun&ary %alue roblems#

alace "ransforms# Solu"ions of one &imensional hea" an& .a%e e$ua"ions an& alace e$ua"ion'

Comlex %ariables!

Analy"ic func"ions# Cauchys in"egral "heorem# Taylor an& auren" series'*robabili"y an& S"a"is"ics!

+efini"ions of robabili"y an& samling "heorems# Con&i"ional robabili"y# Mean# me&ian# mo&e

an& s"an&ar& &e%ia"ion# Ran&om %ariables# *oisson# Normal an& /inomial &is"ribu"ions'

Numerical Me"ho&s!

Numerical solu"ions of linear an& non0linear algebraic e$ua"ions In"egra"ion by "rae1oi&al an&

Simsons rule# single an& mul"i0s"e me"ho&s for &ifferen"ial e$ua"ions'

b) A**IE+ MECHANICS AN+ +ESIGNEngineering Mechanics!ree bo&y &iagrams an& e$uilibrium2 "russes an& frames2 %ir"ual .or-2 -inema"ics an& &ynamics

of ar"icles an& of rigi& bo&ies in lane mo"ion# inclu&ing imulse an& momen"um (linear an&

angular) an& energy formula"ions2 imac"'

S"reng"h of Ma"erials!

S"ress an& s"rain# s"ress0s"rain rela"ionshi an& elas"ic cons"an"s# Mohrs circle for lane s"ress an&lane s"rain# "hin cylin&ers2 shear force an& ben&ing momen" &iagrams2 ben&ing an& shear

s"resses2 &eflec"ion of beams2 "orsion of circular shaf"s2 Eulers "heory of columns2 s"rain energy

me"ho&s2 "hermal s"resses'

Theory of Machines!

+islacemen"# %eloci"y an& accelera"ion analysis of lane mechanisms2 &ynamic analysis of

sli&er0cran- mechanism2 gear "rains2 fly.heels'

,ibra"ions!

ree an& force& %ibra"ion of single &egree of free&om sys"ems2 effec" of &aming2 %ibra"ionisola"ion2 resonance# cri"ical see&s of shaf"s'

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+esign!

+esign for s"a"ic an& &ynamic loa&ing2 failure "heories2 fa"igue s"reng"h an& "he S0N &iagram2

rinciles of "he &esign of machine elemen"s such as bol"e ri%e"e& an& .el&e& 3oin"s# shaf"s#sur gears# rolling an& sli&ing con"ac" bearings# bra-es an& clu"ches'

c) 4I+ MECHANICS AN+ THERMA SCIENCESlui& Mechanics!

lui& roer"ies2 flui& s"a"ics# manome"ry# buoyancy2 con"rol0%olume analysis of mass#

momen"um an& energy2 flui& accelera"ion2 &ifferen"ial e$ua"ions of con"inui"y an& momen"um2/ernoullis e$ua"ion2 %iscous flo. of incomressible flui&s2 boun&ary layer2 elemen"ary "urbulen"

flo.2 flo. "hrough ies# hea& losses in ies# ben&s e"c'

Hea"0Transfer!

Mo&es of hea" "ransfer2 one &imensional hea" con&uc"ion# resis"ance conce"# elec"rical analogy#

uns"ea&y hea" con&uc"ion# fins2 &imensionless arame"ers in free an& force& con%ec"i%e hea""ransfer# %arious correla"ions for hea" "ransfer in flo. o%er fla" la"es an& "hrough ies2 "hermal

boun&ary layer2 effec" of "urbulence2 ra&ia"i%e hea" "ransfer# blac- an& grey surfaces# shaefac"ors# ne".or- analysis2 hea" exchanger erformance# MT+ an& NT4 me"ho&s'

Thermo&ynamics!

5ero"h# irs" an& Secon& la.s of "hermo&ynamics2 "hermo&ynamic sys"em an& rocesses2 Carno"

cycle' irre%ersibili"y an& a%ailabili"y2 beha%iour of i&eal an& real gases# roer"ies of uresubs"ances# calcula"ion of .or- an& hea" in i&eal rocesses2 analysis of "hermo&ynamic cycles

rela"e& "o energy con%ersion'

Alica"ions!

*o.er Engineering! S"eam Tables# Ran-ine# /ray"on cycles .i"h regenera"ion an& rehea"' I'C'

Engines! air0s"an&ar& 6""o# +iesel cycles' Refrigera"ion an& air0con&i"ioning! ,aourrefrigera"ion cycle# hea" ums# gas refrigera"ion# Re%erse /ray"on cycle2 mois" air!sychrome"ric char"# basic sychrome"ric rocesses' Turbomachinery! *el"on0.heel# rancis an&

7alan "urbines imulse an& reac"ion rinciles# %eloci"y &iagrams'

&) MAN4ACT4RING AN+ IN+4STRIA ENGINEERINGEngineering Ma"erials!

S"ruc"ure an& roer"ies of engineering ma"erials# hea" "rea"men"# s"ress0s"rain &iagrams forengineering ma"erials

Me"al Cas"ing!+esign of a""erns# moul&s an& cores2 soli&ifica"ion an& cooling2 riser an& ga"ing &esign# &esign

consi&era"ions

orming!

*las"ic &eforma"ion an& yiel& cri"eria2 fun&amen"als of ho" an& col& .or-ing rocesses2 loa&

es"ima"ion for bul- (forging# rolling# ex"rusion# &ra.ing) an& shee" (shearing# &ee &ra.ing#

ben&ing) me"al forming rocesses2 rinciles of o.&er me"allurgy'

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8oining!

*hysics of .el&ing# bra1ing an& sol&ering2 a&hesi%e bon&ing2 &esign consi&era"ions in .el&ing'

Machining an& Machine Tool 6era"ions!

Mechanics of machining# single an& mul"i0oin" cu""ing "ools# "ool geome"ry an& ma"erials# "oollife an& .ear2 economics of machining2 rinciles of non0"ra&i"ional machining rocesses2

rinciles of .or- hol&ing# rinciles of &esign of 3igs an& fix"ures'

Me"rology an& Insec"ion!

imi"s# fi"s an& "olerances2 linear an& angular measuremen"s2 comara"ors2 gauge &esign2

in"erferome"ry2 form an& finish measuremen"2 alignmen" an& "es"ing me"ho&s2 "olerance analysis

in manufac"uring an& assembly'

Comu"er In"egra"e& Manufac"uring!

/asic conce"s of CA+9CAM an& "heir in"egra"ion "ools'

*ro&uc"ion *lanning an& Con"rol!

orecas"ing mo&els# aggrega"e ro&uc"ion lanning# sche&uling# ma"erials re$uiremen" lanning'

In%en"ory Con"rol!

+e"erminis"ic an& robabilis"ic mo&els2 safe"y s"oc- in%en"ory con"rol sys"ems

6era"ions Research!

inear rogramming# simlex an& &ulex me"ho "ransor"a"ion# assignmen"# ne".or- flo.

mo&els# simle $ueuing mo&els# *ERT an& C*M'