GATE SYLLABUS FOR MECHANICAL ENGINEER -
2018
Section 1: Engineering Mathematics
Linear
Algebra: Matrix algebra, systems of linear
equations, eigenvalues and eigenvectors.
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.
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.
Complex
variables: Analytic functions; Cauchy-Riemann
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
non-linear algebraic equations; integration by trapezoidal and Simpson’s rules;
single and multi-step methods for differential equations.
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GATE 2018: Engineering Mathematics
Section 2: 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.
Section 2: 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 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 universal testing machine; testing of hardness and impact strength.
Theory
of Machines: 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, effect of damping;
vibration isolation; resonance; critical speeds of shafts.
Machine
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, gears,
rolling and sliding contact bearings, brakes and clutches, springs.
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; 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.
Thermodynamics: Thermodynamic
systems and processes; properties of pure substances, 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: 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, psychometric chart, basic psychometric
processes. Turbomachinery: Impulse and reaction principles, velocity diagrams,
Pelton-wheel, Francis and Kaplan turbines.
Section 4: 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: 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 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.
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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