 Posted by: Neha Xavier

### GATE 2019 Syllabus on Mechanical Engineering

GATE 2019 –It is conducted to offer admission into M.Tech/M.Sc in engineering/ technology/ architecture and P.hD. GATE 2019 Mock Tests have been released, GATE 2019 exam is managed by the IIT. Graduate Aptitude Test in Engineering (GATE) is a national level examination and in relevant branches of science.

The topics have been divided into two categories into each of the GATE 2019 subjects. On core topics, the corresponding sections (of the syllabus given below) of the question paper will contain 90% of their questions and the remaining 10% on Special Topics.

Of machinery, mechanical engineering is the branch of engineering that involves design, production, and operation. The material science principles to design, analyze, manufacture and maintain mechanical systems. The core areas of mechanical engineering are mechanics, dynamics, thermodynamics, material science, structural analysis, and electricity.

Syllabus of Mechanical Engineering for GATE 2019

Engineering Mathematics

Linear Algebra: Eigenvalues and eigenvectors Matrix algebra, systems of linear equations.

Calculus: Gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Green’s theorems. 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, Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms;

Differential equations: Initial and boundary value problems; Laplace transforms; solutions of heat, wave and Laplace’s equations, First order equations (linear and nonlinear); higher order linear differential equations with constant coefficients; Euler-Cauchy equation.

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

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

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

Applied Mechanics and Design

Mechanics of Materials: 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; testing of materials with universal testing machine; testing of hardness and impact strength; bending and shear stresses; deflection of beams; torsion of circular shafts; Euler’s theory of columns; energy methods; thermal stresses; strain gauges and rosettes.

Engineering Mechanics: Impulse and momentum (linear and angular) and energy formulations, collisions; Free-body diagrams and equilibrium; trusses and frames; Virtual work; kinematics and dynamics of particles and of rigid bodies in plane motion.

Theory of Machines: Displacement, flywheels and governors; balancing of reciprocating and rotating masses; gyroscope, velocity and acceleration analysis of plane mechanisms; dynamic analysis of linkages; cams; gears and gear trains.

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

Machine Design: Design for static and dynamic loading; failure theories; 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; fatigue strength and the S-N diagram.

Fluid Mechanics and Thermal Sciences

Fluid Mechanics: Control-volume analysis of mass, momentum and energy; 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; fluid acceleration; differential equations of continuity and momentum; Fluid properties; fluid statics, manometry, buoyancy, forces on submerged bodies, stability of floating bodies.

Heat-Transfer: 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, Modes of heat transfer; one dimensional heat conduction, resistance concept and electrical analogy, heat transfer through fins;

Thermodynamics: Thermodynamic property charts and tables, availability and irreversibility; thermodynamic relations; calculation of work and heat in various processes; second law of thermodynamics, Thermodynamic systems and processes; properties of pure substances, the behaviour of ideal and real gases; zeroth and first laws of thermodynamics;

Applications: Vapour and gas power Power Engineering: Air and gas compressors; 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.

Materials, Manufacturing and Industrial Engineering

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

Forming and Joining Processes: 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; Different types of castings, the design of patterns, moulds and cores; solidification and cooling;

Machining and Machine Tool Operations: Economics of machining; principles of non-traditional machining processes; principles of work holding, design of jigs and fixtures Mechanics of machining; basic machine tools; single and multi-point cutting tools, tool geometry and materials, tool life and wear;.

Metrology and Inspection: alignment and testing methods; tolerance analysis in manufacturing and assembly. Computer Integrated Manufacturing: Basic concepts of CAD/CAM and their integration tools; Limits, fits and tolerances; linear and angular measurements; comparators; gauge design; interferometry; form and finish measurement.

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

Inventory Control: Safety stock inventory control systems Deterministic models.

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

Exam Pattern for GATE 2019

 Exam Pattern for GATE 2019 Section Question No No of Questions Marks per Question Total Marks General Aptitude 1 to 5 5 1 5 6 to 10 5 2 10 Technical &  Engineering 1 to 25 25 1 25 Mathematics 26 to 55 30 2 60

Total Questions: 65
Total Marks: 100
Total Duration: 3 hours
Technical Section: 70 marks
General Aptitude: 15 marks
Engineering Mathematics: 15 marks

25 marks to 40 marks will be allotted to Numerical Answer Type Questions

Reference Books for Mechanical Engineering- GATE 2019

• Engineering mechanics by S. Timoshenko, Sukumar Pati, D. H. Young and J.V. Rao
• Engineering mechanics by S S Bhavikatti
• Engineering Mechanics by S. Timoshenko, Sukumar Pati, D. H. Young and J.V. Rao
• Engineering mechanics by S S Bhavikatti
• Theory of machines by R. S. Khurmi
• Theory of machines by S S Rattan
• Theory of machines by R. S. Khurmi
• Theory of machines by S S Rattan
• Production engineering by Amitabh Ghosh
• Industrial engineering by O P Khanna
• Introduction to Management Science Operations Research by Man Mohan P. K. Gupta Kanti Swarup

Other GATE 2019 Syllabus and Information