GATE 2014 Syllabus For Mechanical Engineering (ME) ~ For Job Seekers

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.

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.