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2018 Syllabus for Mechanical Engineering (ME)
ENGINEERING MATHEMATICS
Linear
Algebra: Matrix Algebra, Systems Of Linear Equations, Eigen Values
And Eigen Vectors.
Calculus: Functions
Of Single Variable, Limit, Continuity And Differentiability, Mean Value
Theorems, Evaluation Of Definite And Improper Integrals, Partial Derivatives, Total
Derivative, Maxima And Minima, Gradient, Divergence And Curl, Vector Identities,
Directional Derivatives, Line, Surface And Volume Integrals, Stokes, Gauss And Green’s
Theorems.
Differential
Equations: First Order Equations (Linear And Nonlinear), Higher Order
Linear Differential Equations With Constant Coefficients, Cauchy’s And Euler’s Equations,
Initial And Boundary Value Problems, Laplace Transforms, Solutions Of One
Dimensional Heat And Wave Equations And Laplace Equation.
Complex
Variables: Analytic Functions, Cauchy’s Integral Theorem, Taylor And
Laurent Series.
Probability
And Statistics: Definitions Of Probability And Sampling
Theorems, Conditional Probability, Mean, Median, Mode And Standard Deviation, Random
Variables, Poisson,Normal And Binomial Distributions.
Numerical
Methods: Numerical Solutions Of Linear And Non-Linear Algebraic
Equations Integration By Trapezoidal And Simpson’s Rule, Single And Multi-Step
Methods For Differential Equations.
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 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 SCIENCES
Fluid
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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