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# GATE Syllabus - A Comprehensive List on GATE Mechanical Syllabus

### All about GATE Exam syllabus for Mechanical Engineering

Mechanical Engineering is one of the oldest branches and its history goes way long back to the inception of Engineering itself. On a very basic note, the GATE exam syllabus is quite exhaustive. Hence, candidates should leave no stone unturned to give their best in the GATE exam. Broadly GATE syllabus is divided into four sections for the Mechanical Engineering paper which are Engineering Mathematics, Applied Mechanics and Design, Fluid Mechanics and Thermal Sciences & Materials, Manufacturing and Industrial Engineering. In sections consisting of arithmetical questions and engineering mathematics, the main objective is to assess the applicant's ability to understand complex concepts involved in Engineering thoroughly and application of these into mathematical problems. The GATE Mechanical syllabus 2020 given below will ensure that aspirants are well aware of the subject and have a thorough understanding of it. With the help of the GATE Mechanical syllabus, candidates will know the complete information on the topics to be studied for the exam before hand without any confusion. According to GATE Mechanical topper tips, solving mocks and previous years GATE Mechanical question paper should be integral to one's GATE preparation. Because it will help the aspirants to have a realistic view on the difficulty level of questions being asked. Our unique interactive modules on GATE preparation Mechanical can be accessed at . The GATE Mechanical syllabus in detail is provided below.

### Engineering Mathematics

Linear Algebra
• Matrix algebra
• Systems of linear equations
• Eigen values and Eigen vectors
Ordinary Differential Equation ( ODE )
• First order ( linear and non – linear ) equations
• higher order linear equations with constant coefficients
• Euler – Cauchy equations
• Laplace transform and its application in solving linear ODEs
• Initial and boundary value problems.
Partial Differential Equation ( PDE ) : Fourier series
• separation of variables
• solutions of onedimensional diffusion equation
• first and second order one – dimensional wave equation and two-dimensional Laplace equation.
Calculus
• Functions of single variable
• Limit, continuity and differentiability
• Mean value theorems
• local maxima and minima
• Taylor and Maclaurin series
• Evaluation of definite and indefinite integrals
• application of definite integral to obtain area and volume
• Partial derivatives
• Total derivative
• Divergence and Curl, Vector identities
• Directional derivatives
• Line, Surface and Volume integrals
• Stokes
• Gauss and Green's theorems.
Probability and Statistics
• Definitions of probability and sampling theorems
• Conditional probability
• Discrete Random variables
• Poisson and Binomial distributions
• Continuous random variables
• normal and exponential distributions
• Descriptive statistics – Mean, median, mode and standard deviation
• Hypothesis testing
Numerical Methods
• Accuracy and precision
• error analysis
• Numerical solutions of linear and non – linear algebraic equations
• Least square approximation
• Newton's and Lagrange polynomials
• numerical differentiation
• Integration by trapezoidal and Simpson's rule
• single and multi – step methods for first order differential equations

### Applied Mechanics and 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 rati
• 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;
• 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
• effect of damping
• vibration isolation
• resonance
• critical speeds of shafts.
Machine Design
• 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 Mechanics and Thermal Sciences

Fluid Mechanics
• 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.
Heat – Transfer
• Modes of heat transfer
• one dimensional heat conduction
• resistance concept and electrical analogy
• heat transfer through fins
• 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
• StefanBoltzmann law
• Wien's displacement law
• black and grey surfaces
• view factors
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.

### Manufacturing and Industrial Engineering

Engineering Materials
• Structure and properties of engineering materials
• phase diagrams
• heat treatment
• stress-strain diagrams for engineering materials.
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.
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
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 and probabilistic models; safety stock inventory control systems.
• Operations Research
• Linear programming
• simplex and duplex method
• Transportation
• Assignment
• network flow models
• simple queuing models
• PERT and CPM.