# GATE Mechanical Engineering Syllabus | Download GATE ME Exam Syllabus PDF

Are you are an aspiring Mechanical Engineer seeking admission into M.Tech/Ph.D. Programs through GATE? Then, you must be searching for GATE 2021 Syllabus for Mechanical Engineer everywhere right. Sit back and relax as you have landed on the right page that clears all your ambiguity related to GATE ME Syllabus. This article provides you with a direct link to download GATE Syllabus for Mechanical Engineering PDF in the coming modules.

In addition to the Graduate Aptitude Test in Engineering Syllabus, go through the Exam Pattern of the Particular Stream too. On referring the GATE Test Pattern you will know the GATE Mechanical Syllabus Weightage for each of the topics. Entire ME Syllabus has four sections namely Applied Mechanics & Design, Fluid Mechanics & Thermal Sciences and Materials, Engineering Mathematics, Manufacturing & Industrial Engineering.

### GATE Syllabus for Mechanical Engineering

Refer to the syllabus of ME before you begin with your preparation. Make sure you cover the topics and sub-topics that are needed for the GATE 2021 Mechanical Exam Preparation. Get to know about the following sections

• Engineering Mathematics
• Applied Mechanics & Design
• Fluid Mechanics & Thermal Sciences
• Materials Manufacturing and Industrial Engineering

Also, Check: GATE Syllabus

### GATE Engineering Mathematics Syllabus

Linear Algebra: Matrix algebra, Systems of linear equations, Eigenvalues and Eigenvectors.

Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and Minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.

Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson’s rule, single and multi-step methods for differential equations.

Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions.

Complex Variables: Analytic functions, Cauchy’s integral theorem, Taylor and Laurent series.

Differential Equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy’s and Euler’s equations. Initial and boundary value problems, Laplace transforms, Solutions of one-dimensional heat and wave equations and Laplace equation.

### GATE Syllabus for 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, including impulse and momentum (linear and angular) and energy formulations; impact.

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

Theory of Machines: Displacement, velocity and acceleration analysis of plane mechanisms; dynamic analysis of slider-crank mechanism; gear trains; flywheels.

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, spur gears, rolling and sliding contact bearings, brakes and clutches.

Strength of Materials: Stress and strain, stress-strain relationship and elastic constants, 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; strain energy methods; thermal stresses.

### 2021 GATE Fluid Mechanics & Thermal Sciences Syllabus

Fluid Mechanics: Fluid properties; fluid statics, manometry, buoyancy; control-volume analysis of mass, momentum, and energy; fluid acceleration; differential equations of continuity and momentum; Bernoulli’s equation; viscous flow of incompressible fluids; boundary layer; elementary turbulent flow; flow through pipes, head losses in pipes, bends, etc.

Applications: Power Engineering: Steam Tables, Rankine, Brayton cycles with regeneration and reheat. I.C. Engines: air-standard Otto, Diesel cycles. Refrigeration and air-conditioning: Vapour refrigeration cycle, heat pumps, gas refrigeration, Reverse Brayton cycle; moist air: psychrometric chart, basic psychrometric processes. Turbomachinery: Pelton-wheel, Francis and Kaplan turbines — impulse and reaction principles, velocity diagrams.

Heat-Transfer: Modes of heat transfer; one-dimensional heat conduction, resistance concept, electrical analogy, unsteady heat conduction, fins; dimensionless parameters in free and forced convective heat transfer, various correlations for heat transfer in flow over flat plates and through pipes; thermal boundary layer; effect of turbulence; radiative heat transfer, black and grey surfaces, shape factors, network analysis; heat exchanger performance, LMTD and NTU methods.

Thermodynamics: Zeroth, First and Second laws of thermodynamics; thermodynamic system and processes; Carnot cycle irreversibility and availability; behaviour of ideal and real gases, properties of pure substances, calculation of work and heat in ideal processes; analysis of thermodynamic cycles related to energy conversion.

### Materials Manufacturing and Industrial Engineering GATE Syllabus

Engineering Materials: Structure and properties of engineering materials, heat treatment, stress-strain diagrams for engineering materials.

Joining: Physics of welding, brazing, and soldering; adhesive bonding; design considerations in welding.

Forming: 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.

Metal Casting: Design of patterns, moulds, and cores; solidification and cooling; riser and gating design, design considerations.

Computer Integrated Manufacturing: Basic concepts of CAD/CAM and their integration tools.

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.

Production Planning and Control: Forecasting models, aggregate production planning, scheduling, materials requirement planning.

Machining and Machine Tool Operations: Mechanics of machining, 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, principles of design of jigs and fixtures.

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

Inventory Control: Deterministic and probabilistic models; safety stock inventory control systems.

### GATE 2021 Mechanical Engineering Exam Pattern

Go through the GATE Mechanical Engg Test Pattern listed below as it will help you understand the exam better. You can get exam related details like no. of questions asked in the exam, max. marks for each section, subjects to prepare etc. Prepare as per the GATE ME 2021 Exam Pattern and score more marks in the exam.

 Section Total Marks GA 15% of the total marks Mathematics 15% of the total marks ME – Subject-Based 70% of the total marks

### Books for GATE Mechanical Engineering Exam Preparation

Make sure you prepare with the best resources and study material for ME Exam. Don’t stress yourself and study from only a few books. We have compiled a few of the books that can aid in your preparation.