# GATE Syllabus 2018 for Mechanical Engineering- Complete Syllabus

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Appearing for GATE Mechanical 2018 Paper? Take a look at the GATE Mechanical Syllabus as you start preparing for the forthcoming entrance test!

GATE Syllabus for Mechanical Engineering- IIT Guwahati has issued syllabus of Mechanical engineering paper on its official website. Candidates must be aware of all the important topics and sub-topics mentioned in this post to prepare well for the examination. No preparation strategy will work without the GATE Syllabus 2018. There will be three sections in the GATE 2018 Mechanical paper that are Engineering Mathematics, General Aptitude and Mechanical Engineering. Here we have mentioned all the sections of GATE Syllabus 2018 for Mechanical Engineering for the reference. Candidates can also check the important books required to prepare the relevant topic.

The Graduate Aptitude Test in Engineering (GATE) exam is conducted every year by the Indian Institutes of Technology (IITs) and Indian Institute of Science (IISC) for students seeking admission in Engineering PG programmes at GATE accepting colleges across the country.

## GATE Mechanical Engineering Syllabus 2018

### GATE Mechanical Paper Pattern

GATE Part I Paper Pattern

There will be 65 questions carrying 100 marks, out of which 10 questions will be carting 15 marks are in General Aptitude (GA). Questions in GA will be based in A) Verbal Ability and B) Numerical Ability.

GATE Part II Paper Pa​ttern

Mechanical Engineering specific paper of Part II is formed from following topics-

• Engineering Mathematics

• Applied Mechanics and Design

• Fluid Mechanics and Thermal Sciences

• Materials, Manufacturing and Industrial Engineering

 GATE Mechanical Syllabus & Books S.No Topics Sub-topics Important Books Engineering Mathematics 1 Linear Algebra Matrix algebra, systems of linear equations, eigenvalues and eigenvectors. Matrices by AR Vashista 2 Ordinary Differential Equations Differential Calculus by Shanti Narayan Differential Calculus by Golden Series 3 Calculus Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms; 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; gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Green’s theorems. Intergral Calculus by Shanti Narayan Intergral Calculus by Golden Series Calculus by Thomas Finney 4 Differential Equations 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. Differential Equations by Golden Series Differential Equations by ML Khanna An Intro. to Ordinary Differential Equalitions by Earl A Coddington 5 Numerical Methods Numerical solutions of linear and non-linear algebraic equations; integration by trapezoidal and Simpson’s rules; single and multi-step methods for differential equations. Numerical Analysis by Golden Series Numerical Methods by SS Sastry Numerical Methods by BS Grewal 6 Complex Variables Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theorem and integral formula; Taylor and Laurent series. Advanced Engineering Mathematics by Erwin Kreyszig Higher Engineering Mathematics by BS Grewal Engineering Mathematics by NP Bali 7 Probability and Statistics Definitions of probability, sampling theorems, conditional probability; mean, median, mode and standard deviation; random variables, binomial, Poisson and normal distributions. Probability and Statistics by Miller and Freund Fundamental of Mathematical Statistics by VK Kapoor Mechanical Engineering 8 Applied Mechanics and Design Free-body diagrams and equilibrium; trusses and frames; kinematics and dynamics, impulse and momentum, collisions, Poisson's ratio; Mohr’s circle for plane stress and plane strain; thin cylinders; shear force and bending moment diagrams; deflection of beams; torsion of circular shafts; Euler’s theory of columns; thermal stresses; strain gauges and rosettes; testing of hardness and impact strength, Free and forced vibration of single degree of freedom systems, effect of damping; vibration isolation; resonance; critical speeds of shafts. Engineering Mechanics by Singer 9 Fluid Mechanics and Thermal Sciences Fluid Mechanics, manometry, buoyancy, control-volume analysis of mass, fluid acceleration, differential equations of continuity and momentum; Bernoulli’s equation, elementary turbulent flow, Heat-Transfer, Heisler's charts thermal boundary layer, heat exchanger performance, LMTD and NTU methods; Stefan Boltzmann law, Wien's displacement law, black and grey surfaces, view factors, radiation network analysis, Thermodynamic systems and processes; zeroth and first laws of thermodynamics, second law of thermodynamics, availability and irreversibility, Power Engineering, Refrigeration and air-conditioning, Turbomachinery, etc. Applied Mechanics by Khurmi Engineering Mechanics by Tinua Shenko 10 Materials, Manufacturing and Industrial Engineering Engineering Materials, Plastic deformation and yield criteria Machining and Machine Tool Operations, Metrology and Inspection, Computer Integrated Manufacturing, Production Planning and Control, Inventory Control, Operations Research: Linear programming, simplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM. Mechanics of Materials by BC Punmia and AK jain Strength of Materials by S Ramamrutham Strength of Materials by Schaum Series 11 Theory of Machines & Machine design 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. 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, gears, rolling and sliding contact bearings, brakes and clutches, springs. Theory of Machines by Rattan Theory of Machines RS Khurmi Theory of Machines by PL Ballaney Theory of Machines through solved problems by JS Rao Theory of Machines by Thomas Beven Theory of Machines by Sadhu Singh

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