# GATE Syllabus for Mechanical Engineering-(ME)

## 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)

GATE Syllabus for Mechanical Engineering

#### 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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GATE Syllabus for Mechanical Engineering: