GATE ME 2021 Syllabus

Mechanical Engineering is the most preferred stream amongst the GATE aspirants. Candidates qualifying GATE 2021/2022 Exam can secure admissions for PG programs and explore further career opportunities in PSU companies.

IIT Bombay is the conducting body for GATE 2021 Exam.

Before starting GATE exam preparation, every GATE aspirant should understand the GATE Mechanical Syllabus thoroughly. All the questions in GATE Mechanical (ME) exam will be based on the GATE Mechanical Engineering Syllabus defined by IIT Bombay.

So, every GATE aspirants must be thorough with the GATE ME syllabus and complete each and every topic diligently to qualify and score top rank.

GENERAL APTITUDE

Verbal Ability:

1. Grammar

2. Vocabulary

3. Coding-Decoding & Series

4. Directions, Blood Relations

5. Arrangements

6. Syllogism

7. Inference & Assumptions

8. Clocks and Puzzles.

Numerical Ability:

1. Fundamentals

2. Equations

3. Percentage

4. Averages

5. Ratio & Propotions

6. Mixture and Alligations

7. Data Interpretation & Data Suffiency

8. Time, Speed & Distance

9. Time & Work

10. Set Theory & Venn Diagrams

11. Progression, Functions & Graphs

12. Logarthims

13. Permutations and Combinations

14. Probability, Geometry & Mensuration

ENGINEERING MATHEMATICS

Linear Algebra:

1. Matrix Algebra

2. Systems of linear equations

3. Eigen values and Eigen vectors

Calculus:

1. Functions of single variable

2. limit

3. Continuity and differentiability

4. Mean value theorems

5. Indeterminate forms

6. Evaluation of definite and improper integrals

7. Double and triple integrals

8. Partial derivatives

9. Total derivative

10. Taylor series (in one and two variables)

11. Maxima and minima

12. Fourier series

13. Gradient

14. Divergence and curl

15. Vector identities

16. Directional derivatives

17. Line

18. Surface and volume integrals

19. Applications of Gauss

20. Stokes and Green’s theorems

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

7. Wave and Laplace’s equations

complex variables:

1. Analytic functions

2. Cauchy-Riemann equations

3. Cauchy’s integral theorem and integral formula

4. Taylor and Laurent series

Probability and Statistics:

1. Definitions of probability

2. Sampling theorems

3. Conditional probability

4. Mean

5. Median

6. Mode and standard deviation

7. Random variables

8. Binomial

9. Poisson and normal distributions

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

APPLIED MECHANICS AND DESIGN

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

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; torsion of circular shafts

9. Euler’s theory of columns

10. Energy methods

11. Thermal stresses

12. straingauges and rosettes

13. Testing of materials with universal testing machine

14. Testing of hardness and impact strength

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

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

Machine Design:

1. Design for static and dynamic loading

2. Failure theories; fatigue strength and the S-N diagram

3. Principles of the design of machine elements such as bolted

4. Riveted and welded joints

5. Shafts

6. Gears

7. Rolling and sliding contact bearings

8. Brakes and clutches

9. springs

FLUID MECHANICS AND THERMAL SCIENCES

Fluid Mechanics:

1. Fluid properties

2. Fluid statics

3. Manometry

4. Buoyancy

5. Forces on submerged bodies

6. Stability of floating bodies

7. control-volume analysis of mass

8. Momentum and energy

9. Fluid acceleration

10. Differential equations of continuity and momentum

10. Bernoulli’s equation

11. Dimensional analysis

12. Viscous flow of incompressible fluids

13. Boundary layer

14. Elementary turbulent flow

15. Flow through pipes

16. Head losses in pipes

17. Bends and fittings

Heat-Transfer:

1. Modes of heat transfer

2. One dimensional heat conduction

3. Resistance concept and electrical analogy

4. heat transfer through fins

5. Unsteady heat conduction

6. Lumped parameter system

7. Heisler’s charts

8. Thermal boundary layer

9. Dimensionless parameters in free and forced convective heat transfer

10. Heat transfer correlations for flow over flat plates and through pipes

11. Effect of turbulence

12. Heat exchanger performance

13. LMTD and NTU methods

14. Radiative heat transfer

15. StefanBoltzmann law

16. Wien’s displacement law

17. black and grey surfaces

18. View factors

19. Radiation network analysis

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

Applications:

1. Power Engineering

2. Air and gas compressors

3. Vapour and gas power cycles

4. Concepts of regeneration and reheat

5. I.C. Engines

6. Air-standard Otto

7. Diesel and dual cycles

8. Refrigeration and air-conditioning

9. Vapour and gas refrigeration and heat pump cycles

10. Properties of moist air

11. Psychrometric chart

12. Basic psychrometric processes

13. Turbomachinery

14. Impulse and reaction principles

15. Velocity diagrams

16. Pelton-wheel

17. Francis and Kaplan turbines

MATERIALS, MANUFACTURING AND INDUSTRIAL ENGINEERING

Engineering Materials:

1. Structure and properties of engineering materials

2. Phase diagrams

3. Heat treatment

4. Stress-strain diagrams for engineering materials

Casting, Forming and Joining Processes:

1. Different types of castings

2. Design of patterns,

3. Moulds and cores

4. Solidification and cooling

5. Riser and gating design

6. Plastic deformation and yield criteria

7. Fundamentals of hot and cold working processes

8. 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:

1. Mechanics of machining

2. Basic machine tools

3. Single and multi-point cutting tools

4. Tool geometry and materials

5. Tool life and wear

6. Economics of machining

7. Principles of non-traditional machining processes

8. Principles of work holding

9. Design of jigs and fixtures

Metrology and Inspection:

1. Limits