GATE 2014 Syllabus For Mechanical Engineering (ME)
General Aptitude
1. Verbal Ability: English grammar, sentence completion, verbal analogies, word
groups, instructions, critical reasoning and verbal deduction.
2. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
1. Verbal Ability: English grammar, sentence completion, verbal analogies, word
groups, instructions, critical reasoning and verbal deduction.
2. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
Engineering Mathematics
Linear 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, Total
derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities,
Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s
theorems.
Differential equations: First order equations (linear and nonlinear), Higher order
linear differential equations with constant coefficients, Cauchy’s and Euler’s equations,
Initial and boundary value problems, Laplace transforms, Solutions of one dimensional
heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchy’s integral theorem, Taylor and Laurent
series.
Probability and Statistics: Definitions of probability and sampling theorems,
Conditional probability, Mean, median, mode and standard deviation, Random variables,
Poisson, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations
Integration by trapezoidal and Simpson’s rule, single and multi-step methods for
differential equations.
Applied Mechanics And Design
Engineering Mechanics: Free body diagrams and equilibrium; trusses and frames;
virtual work; kinematics and dynamics of particles and of rigid bodies in plane motion,
including impulse and momentum (linear and angular) and energy formulations;
impact.
Strength of Materials: Stress and strain, stress-strain relationship and elastic
constants, Mohr’s circle for plane stress and plane strain, thin cylinders; shear force and
bending moment diagrams; bending and shear stresses; deflection of beams; torsion of
circular shafts; Euler’s theory of columns; strain energy methods; thermal stresses.
Theory of Machines: Displacement, velocity and acceleration analysis of plane
mechanisms; dynamic analysis of slider-crank mechanism; gear trains; flywheels.
Vibrations: Free and forced vibration of single degree of freedom systems; effect of
damping; vibration isolation; resonance, critical speeds of shafts.
Design: Design for static and dynamic loading; failure theories; fatigue strength and the
S-N diagram; principles of the design of machine elements such as bolted, riveted and
welded joints, shafts, spur gears, rolling and sliding contact bearings, brakes and
clutches.
Fluid Mechanics and Thermal Sciences
Fluid Mechanics: Fluid properties; fluid statics, manometry, buoyancy; control-volume
analysis of mass, momentum and energy; fluid acceleration; differential equations of
continuity and momentum; Bernoulli’s equation; viscous flow of incompressible fluids;
boundary layer; elementary turbulent flow; flow through pipes, head losses in pipes,
bends etc.
Heat-Transfer: Modes of heat transfer; one dimensional heat conduction, resistance
concept, electrical analogy, unsteady heat conduction, fins; dimensionless parameters in
free and forced convective heat transfer, various correlations for heat transfer in flow
over flat plates and through pipes; thermal boundary layer; effect of turbulence;
radiative heat transfer, black and grey surfaces, shape factors, network analysis; heat
exchanger performance, LMTD and NTU methods.
Thermodynamics: Zeroth, First and Second laws of thermodynamics; thermodynamic
system and processes; Carnot cycle. irreversibility and availability; behaviour of ideal
and real gases, properties of pure substances, calculation of work and heat in ideal
processes; analysis of thermodynamic cycles related to energy conversion.
Applications: Power Engineering: Steam Tables, Rankine, Brayton cycles with
regeneration and reheat. I.C. Engines: air-standard Otto, Diesel cycles. Refrigeration and
air-conditioning: Vapour refrigeration cycle, heat pumps, gas refrigeration, Reverse
Brayton cycle; moist air: psychrometric chart, basic psychrometric processes.
Turbomachinery: Pelton-wheel, Francis and Kaplan turbines — impulse and reaction
principles, velocity diagrams
.
Manufacturing and Industrial Engineering
Engineering Materials: Structure and properties of engineering materials, heat
treatment, stress-strain diagrams for engineering materials.
Metal Casting: Design of patterns, moulds and cores; solidification and cooling; riser
and gating design, design considerations.
Forming: Plastic deformation and yield criteria; fundamentals of hot and cold working
processes; load estimation for bulk (forging, rolling, extrusion, drawing) and sheet
(shearing, deep drawing, bending) metal forming processes; principles of powder
metallurgy.
Joining: Physics of welding, brazing and soldering; adhesive bonding; design
considerations in welding.
Machining and Machine Tool Operations: Mechanics of machining, single and multipoint cutting tools, tool geometry and materials, tool life and wear; economics of
machining; principles of non-traditional machining processes; principles of work
holding, principles of design of jigs and fixtures
Metrology and Inspection: Limits, fits and tolerances; linear and angular
measurements; comparators; gauge design; interferometry; form and finish
measurement; alignment and testing methods; tolerance analysis in manufacturing and
assembly.
Computer Integrated Manufacturing: Basic concepts of CAD/CAM and their
integration tools.
Production Planning and Control: Forecasting models, aggregate production planning,
scheduling, materials requirement planning.
Inventory Control: Deterministic and probabilistic models; safety stock inventory
control systems.
Operations Research: Linear programming, simplex and duplex method,
transportation, assignment, network flow models, simple queuing models, PERT and
CPM.
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