Mechanical Engineering - GATE 2021 Syllabus

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; Straing 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 Joint; 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, Stefan-Boltzmann Law, Wien's Displacement Law, Black and Grey Surfaces, View Factors, Radiation Network Analysis;

Thermodynamic System 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; IC 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); 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;

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 Integrals; Evaluation of 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 Rule; Integration By Simpson’s Rule; Single and Multi-step methods for differential equations;