syllabus of GATE me

syllabus of gate machanical engineering


ENGINEERING MATHEMATICS
(1) Linear Algebra:

Algebra of matrices, system of linear equations, eigen values and eigen vectors

(2) Calculus:

Taylor series, fourier series, partial derivatives, total derivatives,
definite and improper integrals, mmultiple integrals

(3) Vector Calculus:

Gradient, divergence and curl, line and surface integrals, Green,
Gauss, and Stokes theorem

(4) Differential Equations:

Linear ODE's, First order non-linear ODE's, initial and boundary value
problems, Laplace Transform, PDE's-laplace, wave and diffusion
equations.

(5) Numerical methods:

Solution of system of linear equations, interpolation, numerical
integration, newton-raphson method, runge-kutta method.

(6) Probability and statics:

Gaussian, Weibul distribution and their properties, method of least
squares , regrassion analysis, analysis of variance.

APPLIED MECHANICS AND DESIGN
(1) Engineering Mechanics:

Equivalent force systems, free-body concepts, equations of
equilibrium, trusses and frames, virtual work and minimum potential
energy. Kinematics and dynamics of particles and rigid bodies, impulse
and momentum , energy methods, central force motion.

(2) Strength of Materials:

Stress and strainm, Elastic constants, stress-strain relationship,
Mohr's circle, deflection of beams, bending and shear stress, shear
force and bending moment diagrams, torsion of circular shafts, thin
thick cylinders, Eulers theory of columns, strain energy methods,
thermal stress.

(3) Theory of machines:

Analysis of plane mechanisms, dynamic analysis of slider-crank
mechanism, planer cams and followers, grear tooth profiles, kinematics
and design of gears, governors and flywheels, balancing of
reciprocating and rotating masses.

(4) Vibrations:

Free and forced vibrations of single degree freedom systems, effect of
damping, vibration isolation, resonance, critical speed shafts.

(5) Design of Machine Elements:

Desing for statics and dynamic loading, fatigue strength, failure
theories, design of bolted, riveted and welded joints, design of
shafts and keys, design of spur gears, brakes and clutches, rolling
and sliding contact bearings , belt, ropes and chain drives.

THERMAL SCIENCE AND ENGINEERING
(1) Fluid Mechanics:

Fluid properties, fluid statics, manumetry, buoyancy, control-volume
analysis of mass, momentum and energy, fluid acceleration,
differential equation of contunuity and momentum. Bernouli's equation.
Viscous flow of incompressible fluids; boudary layer, flow through
pipes, head losses in pipes, bends etc.

(2) Turbo machines:

velocity triangles Euler's equation, specific speed, Pelton wheel,
centrifugal pump, Francis and Kaplan turbines.

(3) Heat-Transfer:

Modes of heat transfer, one dimentional heat conduction, resistance
concept, electrical analogy, unsteady heat conduction, fins,
dimensionless parameters in free and forced convective heat layer,
effect of turbulence, radiative heat transfer, black and grey sufaces
shape factors, networ analysis, heat exchanger performance, LMTD and
NTU methods.

(4) Thermodynamics:

Zeroth, fact and second laws of thermodynamics, themodynamic system
and processes, irreversibility and availability, behaviour of ideal
and real gases, properties of pure substances, calculation of work and
heat in ideal processes. Analysis of thermodynamics cycles related to
energy conversion. Carnot, Rankine, Otto, Diesel, Brayton and Vapour
compression cycle.

(5) Steam engineering:

Steam generators, Steam engines, steam turbines-impulse and reaction,
velocity diagrams, compounding, reheat factor.

(6) I.C. Engines:

Requirements and suitability of fuels in IC engines, fuel ratings,
fuel- air mixture requirements, normal combustion in SI and CI
engines, engine performance calculations, componenets of gas turbine.

(7) Reciprocating Air Compressor:

Isothermal, adiabatic and polytropic compression, staging the
compression process, intercooling and aftercooling, minimum work
requirement, volumentric efficiency. Centrifugal and aial flow
compressors.

(8) Refrigeration and air-conditioning:

Refrigerant compressros, expansion devices, condensers and
evaporators, properties of moist air, psychrometric chart, basic
psychrometric processes.

MANUFACTURING AND INDUSTRIAL ENGINEERING
(1) Engineering meterials:

Structure and properties of engineering materials and their
applications, heat treatment.

(2) Metal casting:

Casting processes- pattern making, moulds and cores, solidification,
design of casting, casting defects.

(3) Metal working:

Stress-strain diagrams for ductile and brittle material, plastic
deformation, machanisms, fundamentals of hot and cold working
processes-forging, extrusion, wire drawing, hseet metal working,
punching, blanking, bending, deep drawing, coining and spinning.

(4) Machining Processes and Machine Tool Operation:

Mechanics of metal cutting, single and multipoint cutting tools,
geometry and machining aspects, tool life, machinability, economics of
machining, non- traditional machining processes.

(5) Metrology and Inspection:

Limits, fits and tolerances, linear and angular measurements,
comparators, gauge design interferometry,form and finish measurement,
measurement of screw threads, alignment and testing methods.

(6) Tool Engineering:

Principles of work holding, design of jigs and fixtures, design of
press working tools.

(7) Manufacturing Analysis:

Part-print analysis, tolerance analysis in manufactureing and
assembly, time and cost analysis.

(8) Computer Integrated Manufacturing:

Basic concepts of CAD, CAM , Group technology.

(9) Work Study:

Method study, work measurement time study, work sampling, job
evaluation, merit rating.

(10) Production planning and control:

Forecating models, aggregate production planning, master scheduling,
materials requierments planning.

(11) Inventory control:

Deterministic and probabilistic models, safety stock inventory control systems.

(12) Operations Research:

Linear programming, simplex and duplex method, transportation,
assignment, network flow models, simple queuing models, PERT and CPM