Table of contents 
Syllabus for General Aptitude (GA) (Common to all Papers) 
Mechanical Engineering 
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Here is the list of topics and subtopics for each subject that needs to be covered for the GATE 2022 Mechanical Engineering Exam. Make sure the candidates get to know the following sections:
Candidates who are preparing for GATE 2022 Mechanical Engineering Exam can check the syllabus given below before you start the preparation.
Before getting into the details of the GATE 2022 Mechanical Engineering syllabus,
Let’s have an overview of the exam:
English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning, and verbal deduction.
Numerical computation, numerical estimation, numerical reasoning, and data interpretation.
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 64 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
Firstorder equations (linear and nonlinear); higherorder linear differential equations with constant coefficients; EulerCauchy equation; initial and boundary value problems; Laplace transforms; solutions of heat, wave, and Laplace's equations.
Complex variables
Analytic functions; CauchyRiemann 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 nonlinear algebraic equations; integration by trapezoidal and Simpson’s rules; single and multistep methods for differential equations.
Freebody 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 the 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.
Vibrations
Free and forced vibration of single degree of freedom systems, the effect of damping; vibration isolation; resonance; critical speeds of shafts.
Design for static and dynamic loading; failure theories; fatigue strength and the SN 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, the stability of floating bodies; controlvolume analysis of mass, momentum, and energy; fluid acceleration; differential equations of continuity and momentum; Bernoulli’s equation; dimensional analysis; the viscous flow of incompressible fluids, boundary layer, elementary turbulent flow, flow through pipes, head losses in pipes, bends, and fittings.
Modes of heat transfer; onedimensional 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, the 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 systems and processes; properties of pure substances, the behavior 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 of Thermodynamics
Power Engineering: Air and gas compressors; vapour and gas power cycles, concepts of regeneration and reheat. I.C. Engines: Airstandard Otto, Diesel, and dual cycles. Refrigeration and air conditioning: Vapour and gas refrigeration and heat pump cycles; properties of moist air, psychrometric 65 chart, basic psychrometric processes. Turbomachinery: Impulse and reaction principles, velocity diagrams, Peltonwheel, Francis, and Kaplan turbines.
Structure and properties of engineering materials, phase diagrams, heat treatment, stressstrain 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 multipoint cutting tools, tool geometry and materials, tool life and wear; economics of machining; principles of nontraditional 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.
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