# GATE Mechanical Engineering ME Syllabus 2019 Download Complete Syllabus

## GATE Entrance Examination 2019 Syllabus

The IITM has issued Mechanical Engineering Syllabus for Graduate Aptitude Test for Engineering 2019. Lots of candidates were waiting for the same. This is a very important thing for the contestants. All candidates who want to apply for this exam may check this page for the complete material of syllabus & preparation. As you know that this exam is one of the most competitive exams in India. Millions of the candidates apply every year for this test and some of them can get the admission in their dream courses. If you want GATE Mechanical Engineering ME Syllabus 2019 then this is the best online portal for you. You can get here all subjects syllabus for GATE 2019.

## GATE Mechanical Engineering ME Syllabus 2019

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## GATE Mechanical Engineering ME Syllabus 2019

### Section 1: Engineering Mathematics

Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.

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 (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 Green’s theorems.

Differential equations

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

Complex variables

Analytic functions

Cauchy-Riemann equations

Cauchy’s integral theorem and integral formula

Taylor and Laurent series

Probability and Statistics

Definitions of probability, sampling theorems, conditional probability

Mean, median, mode and standard deviation

Random variables, binomial, Poisson and normal distributions

Numerical Methods

Numerical solutions of linear and non-linear algebraic equations

Integration by trapezoidal and Simpson’s rules

Single and multi-step methods for differential equations

## GATE Mechanical Engineering ME Syllabus 2019

### Section 2: 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

Impulse and momentum (linear and angular) and energy formulations, collisions

Mechanics of Materials

Stress and strain, elastic constants, Poisson’s ratio; 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

Energy methods

Thermal stresses

Strain gauges and rosettes

Testing of materials with universal testing machine

Testing of hardness and impact strength

Theory of Machines

Displacement, velocity and acceleration analysis of plane mechanisms

Dynamic analysis of linkages

Cams

Gears and gear trains

Flywheels and governors

Balancing of reciprocating and rotating masses

Gyroscope

Vibrations

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

Vibration isolation

Resonance and Critical speeds of shafts

Machine Design

Failure theories

Fatigue strength and the S-N 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

## GATE Mechanical Engineering ME Syllabus 2019

### Section 3: Fluid Mechanics and Thermal Sciences

Fluid Mechanics

Fluid properties

Fluid statics, manometry, buoyancy, forces on submerged bodies, the stability of floating bodies

Control-volume analysis of mass, momentum, and energy

Fluid acceleration

Differential equations of continuity and momentum

Bernoulli’s equation

Dimensional analysis

Viscous flow of incompressible fluids, boundary layer, elementary turbulent flow, flow through pipes, head losses in pipes, bends, and fittings

Heat-Transfer

Modes of heat transfer

One-dimensional heat conduction, resistance concept and electrical analogy, heat transfer through fins

Unsteady heat conduction, lumped parameter system, Heisler’s charts; thermal boundary layer, dimensionless parameters in free and forced convective heat transfer, heat transfer correlations for flow over flat plates and through pipes, the effect of turbulence

Heat exchanger performance, LMTD and NTU methods

radiative heat transfer, Stefan-Boltzmann law, Wien’s displacement law, black and grey surfaces, view factors, radiation network analysis

Thermodynamics

Thermodynamic systems and processes

Properties of pure substances, the behaviour of ideal and real gases

Zeroth and first laws of thermodynamics, calculation of work and heat in various processes

The second law of thermodynamics

Thermodynamic property charts and tables, availability and irreversibility

Thermodynamic relations

Applications

Power Engineering: Air and gas compressors

Vapour and gas power cycles, concepts of regeneration and reheat

I.C. Engines: Air-standard Otto, Diesel, and dual cycles

Refrigeration and air-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

## GATE Mechanical Engineering ME Syllabus 2019

### Section 4: Materials, Manufacturing, and Industrial Engineering

Engineering Materials: Structure and properties of engineering materials, phase diagrams, heat treatment, stress-strain diagrams for engineering materials.

Casting, Forming and Joining Processes

Different types of castings, the design of patterns, moulds and cores

Solidification and cooling

Riser and gating design

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

Principles of welding, brazing, soldering and adhesive bonding

Machining and Machine Tool Operations

Mechanics of machining

Basic machine tools

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, the 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

### GATE Mechanical Engineering ME Syllabus 2019

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 models; safety stock inventory control systems.
Operations Research: Linear programming, simplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM.

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GATE 2019 Code Wise Syllabus