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.
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.
Other Topics
IC engine,
Air
Standard Cycles,
Method
of Ignition,
Gear Types,
External
Gear Pump,
mechanical
Engineering,
Gears,
spur gears,
Helical
gears,
herringbone
gear,
Worm
gears,
English
books,
Photoshop
tutorials,
Physics files,
Thamizh,
Manufacturing,
Gears pdf,
Computer
science,
Harry
potter,
Best
100 english books,
Rack
and pinion,
Face Gears,
Involute
Splines,
Straight
sided Spline,
Bush
Roller Chains,
IC
engine,
Metal
Casting,
Metal
Casting Terms,
Categories
of metal casting processes,
Sand
casting,
SAND
Casting Quiz,
Casting
patterns quiz,
Sand
Casting Process,
Patterns
