- GATE SYLLABUS
- GATE Syllabus - Home
- GATE - General Aptitude
- GATE - Aerospace Engineering
- GATE - Agricultural Engineering
- GATE - Architecture and Planning
- GATE - Biotechnology
- GATE - Biomedical
- GATE - Chemical Engineering
- GATE - Chemistry
- GATE - Civil Engineering
- GATE - Computer Science & IT
- GATE - Ecology and Evolution
- GATE - Electrical Engineering
- Electronics & Communications
- GATE - Geology and Geophysics
- GATE - Instrumental Engineering
- GATE - Mathematics
- GATE - Mechanical Engineering
- GATE - Metallurgical Engineering
- GATE - Mining Engineering
- GATE - Petroleum Engineering
- GATE - Physics
- Production & Industrial Engineering
- Textile Engineering & Fibre Science
- PART I – ENGINEERING SCIENCE (XE)
- GATE - Engineering Mathematics
- GATE - Fluid Mechanics
- GATE - Materials Science
- GATE - Solid Mechanics
- GATE - Thermodynamics
- Polymer Science and Engineering
- GATE - Food Technology
- Atmospheric & Ocean Science
- PART II – LIFE SCIENCE (XL)
- GATE - Chemistry
- GATE - Biochemistry
- GATE - Botany
- GATE - Microbiology
- GATE - Zoology
- GATE - Food Technology
GATE Mechanical Engineering Syllabus
Subject Code: ME
Course Structure
Sections/Units | Topics |
---|---|
Section A | Engineering Mathematics |
Unit 1 | Linear Algebra |
Unit 2 | Calculus |
Unit 3 | Differential Equations |
Unit 4 | Complex Analysis |
Unit 5 | Probability and Statistics |
Unit 6 | Numerical Methods |
Section B | Applied Mechanics and Design |
Unit 1 | Engineering Mechanics |
Unit 2 | Mechanics of Materials |
Unit 3 | Theory of Machines |
Unit 4 | Vibrations |
Unit 5 | Machine Design |
Section C | Fluid Mechanics and Thermal Sciences |
Unit 1 | Fluid Mechanics |
Unit 2 | Heat-Transfer |
Unit 3 | Thermodynamics |
Unit 4 | Applications |
Section D | Materials, Manufacturing and Industrial Engineering |
Unit 1 | Engineering Materials |
Unit 2 | Casting, Forming and Joining Processes |
Unit 3 | Machining and Machine Tool Operations |
Unit 4 | Metrology and Inspection |
Unit 5 | Computer Integrated Manufacturing |
Unit 6 | Production Planning and Control |
Unit 7 | Inventory Control |
Unit 8 | Operations Research |
Course Syllabus
Section A: Engineering Mathematics
Unit 1: Linear Algebra
- Matrix algebra
- Systems of linear equations
- Eigenvalues and eigenvectors
Unit 2: 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
Unit 3: 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
Unit 4: Complex variables
- Analytic functions
- Cauchy-Riemann equations
- Cauchy’s integral theorem and integral formula
- Taylor and Laurent series
Unit 5: Probability and Statistics
- Definitions of probability, sampling theorems, conditional probability
- Mean, median, mode and standard deviation
- Random variables, binomial, Poisson and normal distributions
Unit 6: 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
Section B: Applied Mechanics and Design
Unit 1: 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
Unit 2: 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
Unit 3: 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
Unit 4: Vibrations
Free and forced vibration of single degree of freedom systems, effect of damping
Vibration isolation
Resonance
Critical speeds of shafts
Unit 5: Machine 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
Welded joints
Shafts, gears, rolling and sliding contact bearings, brakes and clutches, springs
Section C: Fluid Mechanics and Thermal Sciences
Unit 1: Fluid Mechanics
- Fluid properties −
- Fluid statics
- Manometry
- Buoyancy
- Forces on submerged bodies
- 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
Unit 2: Heat-Transfer
Modes of heat transfer −
One dimensional heat conduction
Resistance concept
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
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
Unit 3: Thermodynamics
- Thermodynamic systems and processes
- Properties of pure substances, behaviour of ideal and real gases
- Zeroth and first laws of thermodynamics −
- Calculation of work and heat in various processes
- Second law of thermodynamics
- Thermodynamic property charts and tables, availability and irreversibility
- Thermodynamic relations
Unit 4: 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
Section D: Materials, Manufacturing and Industrial Engineering
Unit 1: Engineering Materials
- Structure and properties of engineering materials
- Phase diagrams
- Heat treatment
- Stress-strain diagrams for engineering materials
Unit 2: Casting, Forming and Joining Processes
Different types of castings −
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
Unit 3: 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, design of jigs and fixtures
Unit 4: 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
Unit 5: Computer Integrated Manufacturing
- Basic concepts of CAD/CAM and their integration tools
Unit 6: Production Planning and Control
- Forecasting models
- Aggregate production planning
- Scheduling
- Materials requirement planning
Unit 7: Inventory Control
- Deterministic models
- Safety stock inventory control systems
Unit 8: Operations Research
- Linear programming
- Simplex method
- Transportation
- Assignment
- Network flow models
- Simple queuing models
- PERT and CPM
To download pdf Click here.