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Matrix Algebra, Systems of linear equations, Eigen values and Eigen vectors.

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.

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.

Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theorem and integral formula; Taylor and Laurent series.

Definitions of probability, sampling theorems, conditional probability; mean, median, mode and standard deviation; random variables, binomial, Poisson and normal distributions.

Numerical solutions of linear and non-linear algebraic equations; integration by trapezoidal and Simpson’s rules; single and multi-step methods for differential equations.

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.

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.

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.

Free and forced vibration of single degree of freedom systems; effect of damping; vibration isolation; resonance, critical speeds of shafts.

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.

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.

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, StefanBoltzmann law, Wien’s displacement law, black and grey surfaces, view factors, radiation network analysis.

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.

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.

Structure and properties of engineering materials, phase diagrams, heat treatment, stress-strain diagrams for engineering materials.

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.

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.

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.

Basic concepts of CAD/CAM and their integration tools.

Forecasting models, aggregate production planning, scheduling, materials requirement planning.

Deterministic models; safety stock inventory control systems.

Linear programming, simplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM.

Download - GATE 2021 ME Syllabus (PDF)

GATE aspirants should also understand the GATE examination pattern along with GATE Exam Syllabus to understand the weighting of each topic subject-wise and to score better marks in the GATE Mechanical Exam.

*With GATE Mechanical subject-wise Weightage Analysis, students can put proper effort into the topics that carry more marks and effectively prepare.*

A thorough understanding of Mechanical Subject's subject weighting can help GATE candidates achieve a good rank in the GATE exam and qualify for Postgraduate Programs or secure jobs in PSU companies.

GATE SUBJECTS | GATE 2012 | GATE 2013 | GATE 2014 | GATE 2015 | GATE 2016 | GATE 2017 | GATE 2018 | GATE 2019 | GATE 2020 |
---|---|---|---|---|---|---|---|---|---|

Engineering Mathematics* | 15% | 15% | 13% | 12% | 15% |
14.5% | 13.5% | 14% | 13.5% |

Engineering Mechanics | 1% | 3% | 5% | 6% | 4.6% |
3% | 3.5% | 4% | 4% |

Mechanics Of Material* | 11% | 5% | 6% | 8% | 11.6% |
9% | 11% | 9% | 5.5% |

Machine Design | 8% | 7% | 2% | 4% | 2.6% |
6.5% | 4% | 6% | 6% |

Theory Of Machines & Vibrations* | 5% | 8% | 13% | 9% | 7.3% |
8.5% | 7.5% | 9.5% | 8% |

Fluid Mechanics | 6% | 6% | 9% | 7% | 8% |
9.5% | 9.5% | 7% | 7.5% |

Thermal Engineering* | 12% | 10% | 11% | 12% | 11.3% |
10% | 11% | 9.5% | 13% |

Heat Transfer | 6% | 10% | 6% | 6% | 7.3% |
5.5% | 3.5% | 6.5% | 4.5% |

Manufacturing Engineering* | 16% | 15% | 16% | 16% | 14.3% |
14% | 16.5% | 15% | 16.5% |

Industrial Engineering | 5% | 6% | 4% | 5% | 4.5% |
4.5% | 5% | 4.5% | 6.5% |

General Aptitude* | 15% | 15% | 15% | 15% | 15% |
15% | 15% | 15% | 15% |

1. Check all the Important Topics & Mark them.

2. Collect previous year GATE question paper.

3. Make study notes of most asked questions on important topics.

4. Update yourself with online study notes from the GATE syllabus.

5. Practice complex topics more & more in order to solve them easily for the exam.

6. Prepare calendar on the weekly and monthly basis to study the subjects on the priority basis.

7. Start revision of the most frequently asked topics in the syllabus before 15 days of the exam.

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## GATE 2021 Syllabus for Mechanical Engineering (ME)

The most preferred stream among the GATE aspirants is mechanical engineering.

Candidates qualifying for GATE 2021 Exam are able to secure admissions for PG programs and explore further career opportunities within PSU companies.IIT Bombay is the conducting body for GATE 2021 Exam.

Every GATE aspirant should thoroughly understand the GATE Mechanical Syllabus before beginning preparation for the GATE exam. All the questions in the GATE Mechanical (ME) exam will be based on the IIT Bombay defined GATE Mechanical Engineering Syllabus.

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