GATE Syllabus for Mechanical Engineering

GATE Syllabus for Mechanical Engineering-(ME) | GATE Syllabus for ME

The GATE Syllabus for Mechanical Engineering consists of:

1 Engineering Mathematics
2 Applied Mechanics and Design
3 Fluid Mechanics and Thermal Sciences
4 Materials, Manufacturing, and Industrial Engineering

GATE Syllabus for Mechanical Engineering-(ME) 2018

1-ENGINEERING MATHEMATICS SYLLABUS:

The Engineering Mathematics Syllabus consists of:

a Linear Algebra
b Calculus
c Differential Equations
d Complex Variables
e Probability and Statistics
f Numerical Methods

(a)-LINEAR ALGEBRA:

1 Matrix Algebra
2 Systems of linear equations
3 Eigen values and Eigen vectors

(b)-CALCULUS:

1 Functions of single variable
2 Limit, continuity, and differentiability
3 Mean value theorems
4 Indeterminate forms
5 Evaluation of definite and improper integrals
6 Double and triple integrals
7 Partial derivatives
8 Total derivative
9 Taylor series (in one and two variables)
10 Maxima and minima
11 Fourier series
12 Gradient, divergence, and curl
13 Vector identities
14 Directional derivatives
15 Line
16 Surface and volume integrals
17 Applications of Gauss
18 Stokes and Green’s theorems

(c)-DIFFERENTIAL EQUATIONS:

1 First order equations (linear and nonlinear)
2 Higher order linear differential equations with constant coefficients
3 Euler-Cauchy equation
4 Initial and boundary value problems
5 Laplace transforms
6 Solutions of heat, wave and Laplace’s equations

(d)-COMPLEX VARIABLES:

1 Analytic functions
2 Cauchy-Riemann equations
3 Cauchy’s integral theorem and integral formula
4 Taylor and Laurent series

(e)-PROBABILITY AND STATISTICS:

1 Definitions of probability
2 Sampling theorems
3 Conditional probability
4 Mean, median, mode and standard deviation
5 Random variables, binomial
6 Poisson and normal distributions

(f)-NUMERICAL METHODS:

1 Numerical solutions of linear and non-linear algebraic equations
2 Integration by trapezoidal and Simpson’s rules
3 Single and multi-step methods for differential equations

2-APPLIED MECHANICS AND DESIGN SYLLABUS:

The Applied mechanics and design syllabus consists of:

a Engineering Mechanics
b Mechanics of Materials
c Theory of Machines
d Vibrations
e Machine Design

 

(a)-ENGINEERING MECHANICS:

1 Free-body diagrams and equilibrium
2 Trusses and frames
3 Virtual work
4 Kinematics and dynamics of particles and of rigid bodies in plane motion
5 Impulse and momentum (linear and angular) and energy formulations
6 Collisions

(b)-MECHANICS OF MATERIALS:

1 Stress and strain
2 Elastic constants
3 Poisson’s ratio
4 Mohr’s circle for plane stress and plane strain
5 Thin cylinders
6 Shear force and bending moment diagrams
7 Bending and shear stresses
8 Deflection of beams
9 Torsion of circular shafts
10 Euler’s theory of columns
11 Energy methods; thermal stresses
12 Strain
13 Gauges and rosettes
14 Testing of materials with universal testing machine
15 Testing of hardness and impact strength

(c)-THEORY OF MACHINES:

1 Displacement
2 Velocity and acceleration analysis of plane mechanisms
3 Dynamic analysis of linkages
4 Cams
5 Gears and gear trains
6 Flywheels and governors
7 Balancing of reciprocating and rotating masses
8 Gyroscope

(d)-VIBRATIONS:

1 Free and forced vibration of single degree of freedom systems
2 Effect of damping
3 Vibration isolation
4 Resonance
5 Critical speeds of shafts

(e)-MACHINE DESIGN:

1 Design for static and dynamic loading
2 Failure theories
3 Fatigue strength and the S-N diagram
4 Principles of the design of machine elements such as bolted
5 Riveted and welded joints
6 Shafts, gears, rolling and sliding contact bearings
7 Brakes and clutches, springs

3-FLUID MECHANICS AND THERMAL SCIENCES SYLLABUS:

The Fluid Mechanics and Thermal Sciences Syllabus consists of:

a Fluid Mechanics
b Heat Transfer
c Thermodynamics
d Applications

(a)-FLUID MECHANICS:

1 Fluid properties
2 Fluid statics, manometry, buoyancy
3  Forces on submerged bodies
4 Stability of floating bodies
5 Control-volume analysis of mass
6 Momentum and energy
7 Fluid acceleration
8 Differential equations of continuity and momentum
9 Bernoulli’s equation
10 Dimensional analysis
11 Viscous flow of incompressible fluids
12 Boundary layer
13 Elementary turbulent flow
14 Flow through pipes
15 Head losses in pipes
16 Bends and fittings

(b)-HEAT TRANSFER:

1 Modes of heat transfer
2 One-dimensional heat conduction
3 Resistance concept and electrical analogy
4 Heat transfer through fins; unsteady heat conduction
5 Lumped parameter system, Heisler’s charts
6 Thermal boundary layer
7 Dimensionless parameters in free and forced convective heat transfer
8 Heat transfer
9 Correlations for flow over flat plates and through pipe
10 Effect of turbulence
11 Heat exchanger performance
12 LMTD and NTU methods
13 Radiative heat transfer
14 StefanBoltzmann law
15 Wien’s displacement law
16 Black and grey surfaces
17 View factors
18 Radiation network analysis

(c)-THERMODYNAMICS:

1 Thermodynamic systems and processes
2 Properties of pure substances
3 Behaviour of ideal and real gases
4 Zeroth and first laws of thermodynamics
5 Calculation of work and heat in various processes
6 Second law of thermodynamics
7 Thermodynamic property charts and tables
8 Availability and irreversibility
9 Thermodynamic relations

(d)-APPLICATIONS:

1 Power Engineering
2 Air and gas compressors
3 Vapour and gas power cycles
4 Concepts of regeneration and reheat. I.C. Engines
5 Air-standard Otto
6 Diesel and dual cycles
7 Refrigeration and air-conditioning
8 Vapour and gas refrigeration and heat pump cycles
9 Properties of moist air
10 Psychrometric chart
11 Basic psychrometric processes
12 Turbomachinery
13 Impulse and reaction principles
14 Velocity diagrams
15 Pelton-wheel
16 Francis and Kaplan turbines

4-MATERIALS, MANUFACTURING, AND INDUSTRIAL ENGINEERING SYLLABUS:

The Materials manufacturing and industrial engineering syllabus consist of:

a Engineering materials
b Casting, forming and joining processes
c Machining and machine tool operations
d Metrology and inspection
e Computer integrated manufacturing
f Production planning and control
g Inventory control
h Operations research

(a)-ENGINEERING MATERIALS:

1 Structure and properties of engineering materials
2 Phase diagrams
3 Heat treatment
4 Stress-strain diagrams for engineering materials

(b)-CASTING, FORMING AND JOINING PROCESSES:

1 Different types of castings, design of patterns
2 Moulds and cores
3 Solidification and cooling
4 Riser and gating design
5 Plastic deformation and yield criteria
6 Fundamentals of hot and cold working processes
7 Load estimation for bulk
8 Metal forming processes
9 Principles of powder metallurgy
10 Principles of welding, brazing, soldering and adhesive bonding

(c)-MACHINING AND MACHINE TOOL OPERATIONS:

1 Mechanics of machining
2 Basic machine tools
3 Single and multi-point cutting tools, tool geometry and materials
4 Tool life and wear
5 Economics of machining
6 Principles of non-traditional machining processes
7 Principles of work holding
8 Design of jigs and fixtures

(d)-METROLOGY AND INSPECTION:

1 Limits, fits, and tolerances
2 Linear and angular measurements
3 Comparators
4 Gauge design
5 Interferometry
6 Form and finish measurement
7 Alignment and testing methods
8 Tolerance analysis in manufacturing and assembly

(e)-COMPUTER INTEGRATED MANUFACTURING:

1 Basic concepts of CAD/CAM and their integration tools

(f)-PRODUCTION PLANNING AND CONTROL:

1 Forecasting models
2 Aggregate production planning
3 Scheduling
4 Materials requirement planning

(g)-INVENTORY CONTROL:

1 Deterministic models
2 Safety stock inventory control systems

(h)-OPERATIONS RESEARCH:

1 Linear programming
2 Simplex method
3 Transportation
4 Assignment
5 Network flow models
6 Simple queuing models
7 PERT and CPM

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