2016 Detailed syllabus of GATE Exam mechanical engineering branch.

**ENGINEERINGMATHEMATICS**

Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and
eigen vectors.Calculus: Mean value theorems, Theorems of integral calculus,
Evaluation of definite and improper integrals, Partial Derivatives, Maxima
and minima, Multiple integrals, Fourier series. Vector identities,
Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss
and Green's theorems.Differential equations: First order equation (linear and
nonlinear), Higher order linear differential equations with co`nstant coefficients,
Method of variation of parameters, Cauchy's and Euler's equations, Initial
and boundary value problems, Partial Differential Equations and variable
separable method.Complex variables: Analytic functions, Cauchy's integral theorem
and integral formula, Taylor's and Laurent' series, Residue theorem, solution
integrals.Probability and Statistics: Sampling theorems, Conditional
probability, Mean, median, mode and standard deviation, Random variables,
Discrete and continuous distributions, Poisson, Normal and Binomial
distribution, Correlation and regression analysis.Numerical Methods: Solutions of non-linear algebraic equations,
single and multi-step methods for differential equations. Transform Theory:
Fourier transform, Laplace transform, Z-transform. |

GENERAL APTITUDE(GA): |

Verbal Ability: English grammar, sentence completion, verbal analogies, word
groups, instructions, critical reasoning and verbal deduction. |

MECHANCICAL ENGINEERING |

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.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.Theory of Machines: Displacement, velocity and acceleration
analysis of plane mechanisms; dynamic analysis of slider-crank mechanism;
gear trains; flywheels.Vibrations: Free and forced vibration of single degree of freedom
systems; effect of damping; vibration isolation; resonance, critical speeds
of shafts.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.Fluid Mechanics and Thermal SciencesFluid 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.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.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. Manufacturing and Industrial Engineering Engineering Materials: Structure and properties of engineering
materials, heat treatment, stress-strain diagrams for engineering materials.Metal Casting: Design of patterns, moulds and cores;
solidification and cooling; riser and gating design, design considerations.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.Joining: Physics of welding, brazing and soldering; adhesive
bonding; design considerations in welding.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.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. |

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