#### Weightage

Topic |
Avg Weightage in Marks |

Engineering Mechanics | 2.5 |

Strength of Materials | 7.75 |

Theory of Mechanics | 9 |

Machine Design | 3.75 |

Fluid Mechanics | 7.5 |

Heat Transfer | 6 |

Thermodynamics | 12.75 |

Refrigeration & Air Conditioning | 1.25 |

Manufacturing Engineering | 14.25 |

Industrial Engineering |
8 |

Engineering Maths | 12.25 |

General Aptitude | 15 |

**GATE Syllabus For Mechanical Engineering – General Aptitude**

This section includes questions based on Verbal Ability and Numerical Ability. The different topics included in the GATE Syllabus for General Aptitude are as under:

**Verbal Ability:**

- English grammar
- Sentence completion
- Verbal analogies
- Word groups
- Critical reasoning and
- Verbal deduction.

**Numerical Ability:**

- Numerical computation
- Estimation of numerical quantities
- Logical & numerical reasoning
- Data interpretation.

**GATE Syllabus For Mechanical Engineering 2021 – Engineering Mathematics**

**Linear Algebra:**Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.**Calculus:**Functions of a 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 Syllabus For Mechanical Engineering – Applied Mechanics & 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; critical speeds of shafts.**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 and welded joints; shafts, gears, rolling and sliding contact bearings, brakes and clutches, springs.

**GATE Syllabus For Mechanical Engineering – Fluid Mechanics & 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, 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, 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.**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 Syllabus For Mechanical Engineering – Materials, Manufacturing & 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, 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, 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.**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.

**PG specilization**

**IIT madras**

Mechanical Engineering

- Thermal Engineering (ME1Y)
- Mechanical Design (ME2Y)
- Manufacturing Engineering (ME3Y)

**IIT Kanpur**

**Manufacturing Sciences**: Aero Engg, Chem Engg, Metallurgy/MatSc Engg, Prod/Manuf Engg.**Fluid and Thermal Sciences**: Aero Engg, Chem Engg.**Solid Mechanics and Design**: Aero Engg, Civil Engg, Metallurgy/MatSc Engg, Chem Engg.**Robotics and Automation**: Aero Engg, Comp Sc, Elect/Electro/Comm Engg, Mechatronics/Instrum Engg.

**IIT khargphur**

- Cryogenic Engineering
- Earth System Science and Technology
- Industrial Engineering & Management
- Thermal Science and Engineering
- Mechanical Systems Design
- Manufacturing Science and Engg.
- Rubber Technology
- Ocean Engineering and Naval Architecture
- Reliability Engineering
- Energy Science and Engineering

**IIT Bombay**

- Thermal & Fluids Engineering
- Design Engineering
- Manufacturing Engineering
- Nuclear Engineering

**IIT Hyderabad**

- Mechanics and Design (MAD)
- Thermo-fluids Engineering (TFE)
- Integrated Design and Manufacturing (IDM)
- Aerospace Engineering (AE)

**IIT Guwahati**

- Aerodynamics and Propulsion
- Computational Mechanics
- Manufacturing Science and Engineering
- Fluids and Thermal Engineering
- Machine Design

**IIT roorkee**

- (CAD, CAM, Robotics)
- (Production & Industrial System Engineering)
- (Thermal Engineering)
- (Welding Engineering)

**IIT Bhubaneswar**

- Thermal Science and Engineering
- Manufacturing Engineering

**IIT Gandhinagar**

- Thermal Science and Engineering,
- Dynamics and Control,
- Solid Mechanics

**IIT Tirupati**

- Design & Manufacturing