ME GATE16 Syllabus

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ICPIntensive Classroom Program All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in awithout the written permission.

Mechanical Engineering (ME) GATE16 Syllabus

Section 1: Engineering Mathematics Linear Algebra: Matrix algebra, systems of linear equations, eigen

Calculus: Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms; evaluation of definite and improper integrals; double and triple integrals; partial derivatives, total derivative, Taylor series (inseries; gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Greens theorems.

Differential equations: First order equations (linear and nonlinear); higher order linear differential equations with constant coefficients; Eulerproblems; Laplace transforms; solutions of heat, wave and Laplace's equat

Complex variables: Analytic functions; Cauchyintegral formula; Taylor and Laurent series.

Probability and Statistics: Definitions of probability, sampling theorems, conditionalmean, median, mode and standard deviation; random variables,distributions.

Numerical Methods: Numerical solutions of linear and nonby trapezoidal and Simpsons rules; single and multi

Section 2: Applied Mechanics and Design Engineering Mechanics: Freekinematics and dynamics of particles and of rigid bodies in plane motion; impulse a(linear and angular) and energy formulations, collisions. Mechanics of Materials: Stress and strain, elastic constants, Poisson's ratio; Mohrsstress and plane strain; thin cylinders; shear force and bending moment diagrams; stresses; deflection of beams; thermal stresses;

strain gauges and rosettes; testing of materials with universal testing machine*; testing of hardness and impact strength.

GATE16 Syllabus

eGATE-Live Internet Based Classes DLP TarGATE-All India Test Series All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form


Section 1: Engineering Mathematics Matrix algebra, systems of linear equations, eigen values and eigen

Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms; evaluation of definite and improper integrals; double and triple integrals; partial derivatives, total derivative, Taylor series (in one and two variables), maxima and minima, Fourier series; gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Greens theorems.

First order equations (linear and nonlinear); higher order linear differential equations with constant coefficients; Euler-Cauchy equation; initial and boundary value problems; Laplace transforms; solutions of heat, wave and Laplace's equations.

Analytic functions; Cauchy-Riemann equations; Cauchys integral theorem and integral formula; Taylor and Laurent series.

Definitions of probability, sampling theorems, conditionalmedian, mode and standard deviation; random variables, binomial, Poisson and normal

Numerical solutions of linear and non-linear algebraic equations; integrationy trapezoidal and Simpsons rules; single and multi-step methods for differential equations.

Section 2: Applied Mechanics and Design Free-body diagrams and equilibrium; trusses and frames; virtual work;

kinematics and dynamics of particles and of rigid bodies in plane motion; impulse aand angular) and energy formulations, collisions.

: Stress and strain, elastic constants, Poisson's ratio; Mohrsstress and plane strain; thin cylinders; shear force and bending moment diagrams;

torsion of circular shafts; Eulers theory of columns; energy methods;

strain gauges and rosettes; testing of materials with universal testing machine*; testing of hardness and impact strength.

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and eigen vectors.

Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms; evaluation of definite and improper integrals; double and triple integrals; partial

one and two variables), maxima and minima, Fourier series; gradient, divergence and curl, vector identities, directional derivatives, line, surface

First order equations (linear and nonlinear); higher order linear Cauchy equation; initial and boundary value

Riemann equations; Cauchys integral theorem and

Definitions of probability, sampling theorems, conditional probability; binomial, Poisson and normal

linear algebraic equations; integration methods for differential equations.

body diagrams and equilibrium; trusses and frames; virtual work; kinematics and dynamics of particles and of rigid bodies in plane motion; impulse and momentum

: Stress and strain, elastic constants, Poisson's ratio; Mohrs circle for plane stress and plane strain; thin cylinders; shear force and bending moment diagrams; bending and shear

torsion of circular shafts; Eulers theory of columns; energy methods;

strain gauges and rosettes; testing of materials with universal testing machine*; testing of hardness and impact

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Theory of Machines: Displacement, velocity and acceleration analysis of plane dynamic analysis of linkages; gears

Vibrations: Free and forced vibration of single degree of freedom systems, effect of damping; vibration isolation; resonance; critical speeds of shafts.

Machine Design: Design for static and dynamic loading; failure theories; fatigue strength and the SN diagram; principles of the design of machine elements such as bolted, riveted and welded joints; shafts, gears, rolling and sliding contact bearings, brak

Section 3: Fluid Mechanics and Thermal Sciences Fluid Mechanics: Fluid properties; fluid statics, manometry, buoyancy, forces on submerged bodies, stability of floating bodies; controlacceleration; differential equations of continuity and momentum; Bernoullis equation; dimensional analysis; viscous flow of incompressible fluids, boundaflow, flow through pipes, head losses in pipes, bends and fittings.

Heat-Transfer: Modes of heat transfer; one dimensional heat conduction, resistance concept electrical analogy, heat transfer through fins; unsteady heasystem, thermal boundary layer, transfer, heat transfer correlations for flow over flat plates and through pipes, effect of turbulence; heat exchanger performancStefan- Boltzmann law, Wien's displacement radiation network analysis.

Thermodynamics: Thermodynamic systems and processes; properties of purebehaviour of ideal and real and heat in various processes; second law of thermodynamics;

Cams; governors; balancing of reciprocating and rotating masses; gyroscope.

GATE16 Syllabus


Displacement, velocity and acceleration analysis of plane dynamic analysis of linkages; gears; and gear trains; flywheels

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

Design for static and dynamic loading; failure theories; fatigue strength and the SN diagram; principles of the design of machine elements such as bolted, riveted and welded joints; shafts, gears, rolling and sliding contact bearings, brakes and clutches, springs.

Section 3: Fluid Mechanics and Thermal Sciences Fluid properties; fluid statics, manometry, buoyancy, forces on submerged

odies, stability of floating bodies; control-volume analysis of mass, momentum and energy; fluid acceleration; differential equations of continuity and momentum; Bernoullis equation; dimensional analysis; viscous flow of incompressible fluids, boundary layer, elementary turbulent flow, flow through pipes, head losses in pipes, bends and fittings.

Modes of heat transfer; one dimensional heat conduction, resistance concept electrical analogy, heat transfer through fins; unsteady heat conduction, lumped parameter system, thermal boundary layer, dimensionless parameters in free and forced convective heat transfer, heat transfer correlations for flow over flat plates and through pipes, effect of turbulence; heat exchanger performance, LMTD and NTU methods; radiative heat transfer,

Boltzmann law, Wien's displacement law, black and grey surfaces, view factors, radiation network analysis.

Thermodynamic systems and processes; properties of purereal gases; zeroth and first laws of thermodynamics, calculation of work

and heat in various processes; second law of thermodynamics; thermodynamic property

Heisler's charts;

governors; balancing of reciprocating and rotating masses; gyroscope.

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Displacement, velocity and acceleration analysis of plane mechanisms;

Free and forced vibration of single degree of freedom systems, effect of damping;

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;

Fluid properties; fluid statics, manometry, buoyancy, forces on submerged volume analysis of mass, momentum and energy; fluid

acceleration; differential equations of continuity and momentum; Bernoullis equation; ry layer, elementary turbulent

Modes of heat transfer; one dimensional heat conduction, resistance concept and t conduction, lumped parameter

imensionless parameters in free and forced convective heat transfer, heat transfer correlations for flow over flat plates and through pipes, effect of turbulence;

e, LMTD and NTU methods; radiative heat transfer, aw, black and grey surfaces, view factors,

Thermodynamic systems and processes; properties of pure substances, zeroth and first laws of thermodynamics, calculation of work

thermodynamic property charts

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and tables, availability and irreversibility; . Applications: Power Engineering: ; vapour and gas power cycles, concepts of regeneration and reheat.Refrigeration and air-conditioning: Vapour and gas refrigeration an

of moist air, psychrometric chart, basic reaction principles, velocity

Section 4: Materials, Manufacturing and Industrial Engineering Engineering Materials: Structure and properties of engineering materials, phase diagrams, heat treatment, stress-strain diagrams for engine

Casting, Forming and Joining Processes:and cores; solidification and cooling; riser and gating design. Plastic deformation and yield criteria; fundamentals of hot rolling, extrusion, drawing)processes; principles of powder metallurgy.bonding.

Machining and Machine Tool Operations:and multi-point cutting tools, tool geometry and materials, tool life and wear; economics of machining; principles of nonof jigs and fixtures.

Metrology and Inspection:comparators; gauge design; methods; tolerance analysis in manufacturing and assembly.

Computer Integrated Manufacturing:Production Planning and Control: Forecasting models, aggrematerials requirement planning.

Inventory Control: Deterministic models; safety stock inventory control systems.

Operations Research: Linear programming, simplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM.

Dual programming

Thermodynamiccompressors

GATE16 Syllabus


availability and irreversibility; . Applications: Power Engineering: ; vapour and gas power cycles, concepts of regeneration and reheat. I.C. Engines: Air-standard Otto, Diesel

conditioning: Vapour and gas refrigeration and heat pump cycles; properties

of moist air, psychrometric chart, basic psychrometric processes. Turbomachinery: Impulse and reaction principles, velocity diagrams, Pelton-wheel, Francis and Kaplan turbines.

Section 4: Materials, Manufacturing and Industrial Engineering tructure and properties of engineering materials, phase diagrams, heat

strain diagrams for engineering materials.

Casting, Forming and Joining Processes: Different types of castings, design of patterns, mouldsand cores; solidification and cooling; riser and gating design. Plastic deformation and yield

hot and cold working processes; load estimation for drawing) and sheet (shearing, deep drawing, bending) metal forming

processes; principles of powder metallurgy. Principles of welding, brazing, soldering and adhesive

Machining and Machine Tool Operations: Mechanics of machining; basic machine tools; single point cutting tools, tool geometry and materials, tool life and wear; economics of

achining; principles of non-traditional machining processes; principles of work holding, design

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, materials requirement planning.

Deterministic models; safety stock inventory control systems.

Linear programming, simplex method, transportation, assignment, models, simple queuing models, PERT and CPM.

Dual programming Removed in GATE16

Thermodynamic relations Air and gas compressors and dual cycles.

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availability and irreversibility; . Applications: Power Engineering: ; vapour and gas standard Otto, Diesel

d heat pump cycles; properties

Turbomachinery: Impulse and wheel, Francis and Kaplan turbines.

Section 4: Materials, Manufacturing and Industrial Engineering tructure and properties of engineering materials, phase diagrams, heat

Different types of castings, design of patterns, moulds and cores; solidification and cooling; riser and gating design. Plastic deformation and yield

cold working processes; load estimation for bulk (forging, and sheet (shearing, deep drawing, bending) metal forming

Principles of welding, brazing, soldering and adhesive

Mechanics of machining; basic machine tools; single point cutting tools, tool geometry and materials, tool life and wear; economics of

traditional machining processes; principles of work holding, design

Limits, fits and tolerances; linear and angular measurements; and finish measurement; alignment and testing

Basic concepts of CAD/CAM and their integration tools. planning, scheduling,

Deterministic models; safety stock inventory control systems.

Linear programming, simplex method, transportation, assignment,

Added in GATE16

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ME GATE16 Syllabus