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Page 1: Syllabus for Mechanical Engineering Gate

8/12/2019 Syllabus for Mechanical Engineering Gate

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SYLLABUS FOR MECHANICAL ENGINEERING (ME)

Engineering MathematicsLinear Algebra:Matrix algebra, Systems of linear equations, Eigen values and eigen vectors.Calculus:Functions of single variable, Limit, continuity and differentiability, Mean value theorems,Evaluation of definite and improper integrals, Partial derivatives, otal derivative,Maxima and minima, !radient, "ivergence and #url, $ector identities, "irectionalderivatives, Line, Surface and $olume integrals, Sto%es, !auss and !reen&s theorems.i!!eren"ial e#ua"i$ns:First order equations 'linear and nonlinear(, )igher order linear differential equations

 *ith constant coefficients, #auchy&s and Euler&s equations, +nitial and boundary value

problems, Laplace transforms, Solutions of one dimensional heat and *ave equationsand Laplace equation.C$%&le' ariables:nalytic functions, #auchy&s integral theorem, aylor and Laurent series.r$babili"* an+ S"a"is"ics:"efinitions of probability and sampling theorems, #onditional probability, Mean, median,mode and standard deviation, -andom variables, Poisson, ormal and /inomialdistributions.Nu%erical Me",$+s:umerical solutions of linear and non0linear algebraic equations +ntegration bytrape1oidal and Simpson&s rule, single and multi0step methods for differential equations.

pplied Mechanics and "esignEngineering Mec,anics:Free body diagrams and equilibrium2 trusses and frames2 virtual *or%2 %inematics anddynamics of particles and of rigid bodies in plane motion, including impulse andmomentum 'linear and angular( and energy formulations2 impact.

S"reng", $! Ma"erials:Stress and strain, stress0strain relationship and elastic constants, Mohr&s circle for plane

stress and plane strain, thin cylinders2 shear force and bending moment diagrams2bending and shear stresses2 deflection of beams2 torsion of circular shafts2 Euler&stheory of columns2 strain energy methods2 thermal stresses.

-,e$r* $! Mac,ines:

"isplacement, velocity and acceleration analysis of plane mechanisms2 dynamic

Page 2: Syllabus for Mechanical Engineering Gate

8/12/2019 Syllabus for Mechanical Engineering Gate

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analysis of slider0cran% mechanism2 gear trains2 fly*heels.

.ibra"i$ns:Free and forced vibration of single degree of freedom systems2 effect of damping2vibration isolation2 resonance, critical speeds of shafts.

esign:"esign for static and dynamic loading2 failure theories2 fatigue strength and the S0diagram2 principles of the design of machine elements such as bolted, riveted and

 *elded 3oints, shafts, spur gears, rolling and sliding contact bearings, bra%es andclutches.

Fluid Mechanics and hermal SciencesFlui+ Mec,anics:Fluid properties2 fluid statics, manometry, buoyancy2 control0volume analysis of mass,

momentum and energy2 fluid acceleration2 differential equations of continuity andmomentum2 /ernoulli&s equation2 viscous flo* of incompressible fluids2 boundary layer2elementary turbulent flo*2 flo* through pipes, head losses in pipes, bends etc.

Hea"/-rans!er:Modes of heat transfer2 one dimensional heat conduction, resistance concept, electricalanalogy, unsteady heat conduction, fins2 dimensionless parameters in free and forcedconvective heat transfer, various correlations for heat transfer in flo* over flat platesand through pipes2 thermal boundary layer2 effect of turbulence2 radiative heat transfer,blac% and grey surfaces, shape factors, net*or% analysis2 heat exchanger performance,LM" and 4 methods.

-,er%$+*na%ics:5eroth, First and Second la*s of thermodynamics2 thermodynamic system andprocesses2 #arnot cycle. irreversibility and availability2 behaviour of ideal and realgases, properties of pure substances, calculation of *or% and heat in ideal processes2analysis of thermodynamic cycles related to energy conversion.

A&&lica"i$ns:Power Engineering6 Steam ables, -an%ine, /rayton cycles *ith regeneration andreheat. I.C. Engines6 air0standard 7tto, "iesel cycles. Refrigeration and air-conditioning6$apour refrigeration cycle, heat pumps, gas refrigeration, -everse /rayton cycle2 moist

air6 psychrometric chart, basic psychrometric processes. Turbomachinery: Pelton*heel,Francis and 8aplan turbines 0 impulse and reaction principles, velocity diagrams.

Manufacturing and +ndustrial EngineeringEngineering Ma"erialsStructure and properties of engineering materials, heat treatment, stress0straindiagrams for engineering materials.Me"al Cas"ing:

"esign of patterns, moulds and cores2 solidification and cooling2 riser and gating design,

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8/12/2019 Syllabus for Mechanical Engineering Gate

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design considerations.F$r%ing:Plastic deformation and yield criteria2 fundamentals of hot and cold *or%ing processes2load estimation for bul% 'forging, rolling, extrusion, dra*ing( and sheet 'shearing, deepdra*ing, bending( metal forming processes2 principles of po*der metallurgy.0$ining:Physics of *elding, bra1ing and soldering2 adhesive bonding2 design considerations in

 *elding.Mac,ining an+ Mac,ine -$$l O&era"i$ns:Mechanics of machining, single and multi0point cutting tools, tool geometry andmaterials, tool life and *ear2 economics of machining2 principles of non0traditionalmachining processes2 principles of *or% holding, principles of design of 3igs and fixturesMe"r$l$g* an+ Ins&ec"i$n:Limits, fits and tolerances2 linear and angular measurements2 comparators2 gaugedesign2 interferometry2 form and finish measurement2 alignment and testing methods2tolerance analysis in manufacturing and assembly.C$%&u"er In"egra"e+ Manu!ac"uring:

/asic concepts of #"9#M and their integration tools.r$+uc"i$n lanning an+ C$n"r$l:Forecasting models, aggregate production planning, scheduling, materials requirementplanning.Inen"$r* C$n"r$l:"eterministic and probabilistic models2 safety stoc% inventory control systems.O&era"i$ns Researc,:Linear programming, simplex and duplex method, transportation, assignment, net*or%flo* models, simple queuing models, PE- and #PM.