gate-2013-14 syllabus mechanical-me, gate mechanical syllabus 2013-gate-coaching
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7/31/2019 GATE-2013-14 Syllabus Mechanical-ME, Gate Mechanical Syllabus 2013-GATE-Coaching
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1. MECHANI CAL ENGI NEERI NG ME
Engineering Mat hematics
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite andimproper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series.Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss andGreen's theorems.
Differential equations: First order equation (linear and nonlinear), Higher order lineardifferential equations with constant coefficients, Method of variation of parameters, Cauchy's andEuler's equations, Initial and boundary value problems, Partial Differential Equations and variableseparable method.
Complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor'sand Laurent' series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, modeand 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 methodsfor 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.
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, including impulse andmomentum (linear and angular) and energy formulations; impact.
Strength of Materials: Stress and strain, stress-strain relationship and elastic constants, Mohr'scircle for plane stress and plane strain, thin cylinders; shear force and bending momentdiagrams; bending and shear stresses; deflection of beams; torsion of circular shafts; Euler'stheory 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; f atigue strength and the S-Ndiagram; 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 Sciences
Fluid Mechanics: Fluid properties; fluid statics, manometry, buoyancy; control-volume analysisof mass, momentum and energy; fluid acceleration; differential equations of continuity andmomentum; Bernoulli's equation; viscous flow of incompressible fluids; boundary layer;elementary turbulent flow; f low 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 forcedconvective 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 greysurfaces, shape fac tors, network analysis; heat exchanger performance, LMTD and NTUmethods.
Thermodynamics: Zeroth, First and Second laws of thermodynamics; thermodynamic systemand processes; Carnot cy cle. i rreversibility and availability; behaviour of ideal and real gases,properties of pure substances, calculation of work and heat in ideal processes; analysis ofthermodynamic cycles related to energy conversion.
Applications: Power Engineering: Steam Tables, Rankine, Brayton cycles with regeneration andreheat. I.C. Engines: air-standard Otto, Diesel cycles. Refrigeration and air-conditioning: Vapourrefrigeration cycle, heat pumps, gas refrigeration, Reverse Brayton cycle; moist air:psychrometric chart, basic psychrometric processes. Turbomachinery: Pelton-wheel, Francisand Kaplan turbines - impulse and reaction principles, velocity diagrams.
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E-2013-14 syllabus Mechanical-ME, gate Mechanical syllabus 201... http://www.engineersinstitute.com/GATE2013-14_Syllabus_for_
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