The
Graduate Aptitude Test in Engineering (GATE) is an all India
examination conducted jointly by the Indian Institute of Science and
seven IIT's (IIT Bombay, IIT Guwahati, IIT Kanpur, IIT Kharagpur, IIT
Delhi, IIT Madras and IIT Roorkee) on behalf of the National
Coordination Board – GATE, Department of Higher Education, Ministry of
Human Resource Development (MHRD), Government of India. The GATE Score
of a candidate reflects the relative performance level of a candidate.
The score is used for admissions to various post-graduate programmes
(e.g. M.E., M.Tech, direct Ph.D.) in Indian higher education institutes
with financial assistance provided by MHRD and other Government
agencies.
Gate 2014 Syllabus for Mechanical Engineering
This
post is regarding the 2014 Syllabus for Mechanical Engineering (ME).
The syllabus is mainly divided into Engineering Mathematics, Applied
Mechanics and Design and Manufacturing and Industrial Engineering. Below
given is the detailed syllabus of Gate 2014 ME
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
multi-point 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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