BARC OCES Mechanical Engineering Syllabus

BARC OCES Mechanical Engineering: topic-wise syllabus

1. 1

   Engineering Mathematics

   ~10 marks

   • Linear Algebra — Matrices, Eigenvalues, Eigenvectors, Rank, System of Linear Equations
   • Calculus — Limits, Continuity, Derivatives, Partial Derivatives, Multiple Integrals, Vector Calculus
   • Differential Equations — First & Second Order ODEs, Laplace Transforms, PDEs
   • Probability & Statistics — Distributions, Sampling, Hypothesis Testing, Regression
   • Numerical Methods — Interpolation, Integration, Differential Equation Solutions
   • Complex Variables — Analytic Functions, Cauchy-Riemann Equations, Contour Integration
2. 2

   Fluid Mechanics & Hydraulic Machines

   ~12 marks

   • Fluid Properties — Viscosity, Surface Tension, Capillarity, Compressibility, Newtonian/Non-Newtonian
   • Fluid Statics — Pressure Measurement, Manometers, Hydrostatic Forces, Buoyancy, Metacentric Height
   • Fluid Kinematics — Lagrangian/Eulerian, Streamline/Streakline, Continuity Equation, Velocity Potential
   • Fluid Dynamics — Euler's Equation, Bernoulli's Equation, Momentum Equation, Boundary Layer Theory
   • Flow Through Pipes — Laminar & Turbulent Flow, Darcy-Weisbach, Moody Chart, Minor Losses
   • Turbomachinery — Francis, Kaplan, Pelton Turbines, Centrifugal Pumps, Specific Speed, Cavitation
   • Compressible Flow — Isentropic Flow, Normal Shocks, Mach Number, Rayleigh & Fanno Flow
   • Dimensional Analysis — Buckingham Pi Theorem, Reynolds/ Froude/ Mach Number Similarity
3. 3

   Thermodynamics & Heat Transfer

   ~12 marks

   • Basic Concepts — System, Property, Process, Zeroth Law, Temperature, Energy, Work, Heat
   • First Law — Closed/Open Systems, Steady Flow Energy Equation; Second Law — Carnot, Clausius, Entropy
   • Power Cycles — Rankine, Otto, Diesel, Brayton, Dual, Reheat, Regenerative Cycles, Efficiency
   • Refrigeration & Air Conditioning — Vapour Compression & Absorption Cycles, COP, Psychrometry
   • IC Engines — SI & CI Engines, Fuel Injection, Ignition, Knocking, Combustion, Emission Standards
   • Gas Turbines & Jet Propulsion — Brayton Cycle, Compressor/Turbine Matching, Thrust
   • Conduction — Fourier's Law, Steady/Unsteady Conduction, Extended Surfaces, Lumped Analysis
   • Convection — Forced & Natural, Nusselt/Prandtl/Grashof Numbers, Correlations
   • Radiation — Stefan-Boltzmann, Planck's Law, View Factors, Grey Bodies, Radiation Shields
   • Heat Exchangers — LMTD, NTU Method, Shell & Tube, Plate, Cross-flow, Fouling
4. 4

   Strength of Materials & Solid Mechanics

   ~10 marks

   • Stress & Strain — Hooke's Law, Elastic Constants, Stress-Strain Curves, Thermal Stresses
   • Bending & Shear — Shear Force & Bending Moment Diagrams, Bending Stress, Shear Stress Distribution
   • Torsion — Shafts, Solid/Hollow, Power Transmission, Torsion of Thin-Walled Sections
   • Deflection of Beams — Double Integration, Macaulay's Method, Area-Moment, Conjugate Beam
   • Columns & Struts — Euler's Formula, Rankine's Formula, Crippling Load, Slenderness Ratio
   • Thin & Thick Cylinders — Hoop Stress, Lame's Theory, Autofrettage
   • Energy Methods — Strain Energy, Castigliano's Theorem, Maxwell's Reciprocal Theorem
   • Theories of Failure — Maximum Principal Stress/Strain, Distortion Energy, Maximum Shear Stress
5. 5

   Theory of Machines & Machine Design

   ~10 marks

   • Kinematics — Mechanisms, Four-Bar Linkage, Velocity/Acceleration Analysis, Coriolis
   • Cams & Followers — Types, Displacement Diagrams, Cam Profiles, Follower Motion
   • Gears — Spur, Helical, Bevel, Worm, Gear Trains, Epicyclic Gear Trains
   • Flywheel & Governors — Turning Moment Diagram, Fluctuation of Speed, Porter, Hartnell, Proell
   • Balancing — Static & Dynamic, Balancing of Rotating & Reciprocating Masses
   • Vibrations — Free/Forced, Single & Multi-DOF, Damping, Resonance, Vibration Isolation, Torsional Vibration
   • Machine Design — Design of Joints (Welded, Bolted, Riveted), Shafts, Springs, Bearings, Brakes, Clutches, Belts
6. 6

   Manufacturing, Production & Industrial Engineering

   ~11 marks

   • Casting — Patterns, Gating, Riser Design, Defects, Casting Processes (Sand, Investment, Die, Centrifugal)
   • Forming — Forging, Rolling, Extrusion, Drawing, Sheet Metal Operations, Defects
   • Welding — Arc, TIG, MIG, Resistance, Soldering, Brazing, Weld Defects, Heat Affected Zone
   • Machining — Lathe, Milling, Drilling, Grinding, CNC, Tool Geometry, Cutting Forces, Tool Wear, Taylor's Equation
   • Metrology & Inspection — Limits, Fits, Tolerances, Gauges, CMM, Surface Roughness
   • Jigs & Fixtures — Design Principles, Location, Clamping, Drill Jigs, Milling Fixtures
   • Operations Research — Linear Programming, Simplex, Transportation, Assignment, PERT/CPM, Queuing
   • Production Planning — Forecasting, MRP, Inventory Control, EOQ, Quality Control, SPC, Six Sigma
   • Non-Traditional Machining — EDM, ECM, USM, LBM, AJM, EBM, Abrasive Jet
7. 7

   Engineering Materials & Metallurgy

   ~5 marks

   • Phase Diagrams — Iron-Carbon Equilibrium, TTT & CCT Diagrams
   • Heat Treatment — Annealing, Normalizing, Hardening, Tempering, Case Hardening, Hardenability
   • Ferrous & Non-Ferrous Alloys — Steels, Cast Iron, Aluminium, Copper, Titanium, Superalloys
   • Material Properties — Mechanical, Thermal, Electrical, Stress-Strain Behaviour, Hardness, Toughness, Fatigue, Creep
   • Composites, Ceramics & Polymers — PMC, MMC, CMC, FRP Applications in Nuclear Industry
8. 8

   Nuclear Engineering & DAE Awareness

   ~5 marks

   • Nuclear Physics — Radioactivity, Nuclear Reactions, Fission, Fusion, Cross-sections
   • Nuclear Reactors — Pressurised Heavy Water Reactor (PHWR), Boiling Water Reactor, Fast Breeder, AHWR
   • DAE Initiatives — BARC, NPCIL, IGCAR, Heavy Water Board, Nuclear Fuel Complex, AERB
   • Nuclear Safety — Radiation Shielding, Waste Management, Safety Systems, Regulatory Framework