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ENGINEERING MATHEMATICS
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Linear
Algebra: Algebra of matrices, system of linear equations, eigenvalues and
eigenvectors.
Calculus: Taylor
Series, Fourier Series, partial derivatives, total derivatives, definite and
improper integrals, multiple integrals.
Vector Calculus:
Gradient, divergence and curl, line and surface integrals, Green, Gauss and
Stokes’ theorems.
Differential
Equations: Linear ODE’s, first order non-linear ODE’s, initial and boundary
value problems, Laplace transform, PDE’s-Laplace, wave and diffusion
equations.
Numerical
Methods: Solution of system of linear equations, interpolation, numerical
integration, Newton-Raphson method, Runge-Kutta method.
Probability &
Statistics: Gaussian, Weibul distribution and their properties, method of least
squares, regression analysis, analysis of variance.
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2
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APPLIED MECHANICS AND
DESIGN
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Engineering
Mechanics: Equivalent force systems, free-body concepts, equations of
equilibrium, trusses and frames, virtual work and minimum potential energy.
Kinematics and dynamics of particles and rigid bodies, impulse and momentum
(linear and angular), energy methods, central force motion.
Strength of
Materials: Stress and strain, stress-strain relationship and elastic
constants, Mohr’s circle for plane stress and plane strain, shear force and
bending moment diagrams, bending and shear stresses, deflection of beams
torsion of circular shafts, thin and thick cylinders, 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, planar cams and
followers, gear tooth profiles, kinematics and design of gears, governors and
flywheels, balancing of reciprocating and rotating masses.Vibrations: Free
and forced vibration of single degree freedom systems, effect of damping,
vibration isolation, resonance, critical speed of rotors.
Design of Machine
Elements: Design for static and dynamic loading, failure theories, fatigue
strength; design of bolted, riveted and welded joints; design of shafts and
keys; design of spur gears, rolling and sliding contact bearings; brakes and
clutches; belt, ropes and chain drives.
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FLUID MECHANICS AND
THERMAL SCIENCES
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Fluid
Mechanics: Fluid properties, fluid statics, manometry, buoyancy;
Control-volume analysis of mass, momentum and energy, fluid acceleration;
Differential equation 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; 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;
Carnot, Rankine, Otto, Diesel, Brayton and Vapour compression cycles.
Power Plant
Engineering: Steam generators; Steam power cycles; Steam turbines; impulse
and reaction principles, velocity diagrams, pressure and velocity
compounding; Reheating and reheat factor; Condensers and feed heaters.I.C.
Engines: Requirements and suitability of fuels in IC engines, fuel ratings,
fuel-air mixture requirements; Normal combustion in SI and CI engines; Engine
performance calculations.
Refrigeration and
air-conditioning: Refrigerant compressors, expansion devices, condensers and
evaporators; Properties of moist air, psychrometric chart, basic psychometric
processes.
Turbomachinery:
Components of gas turbines; Compression processes, Centrifugal and Axial flow
compressors; Axial flow turbines, elementary theory; Hydraulic turbines;
Euler-Turbine equation; Specific speed, Pelton-wheel, Francis and Kaplan
turbines; Centrifugal pumps.
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MANUFACTURING AND
INDUSTRIAL ENGINEERING
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Engineering
Materials: Structure and properties of engineering materials and their
applications, heat treatment.
Metal Casting:
Casting processes (expendable and non-expendable) -pattern, moulds and cores,
Heating and pouring, Solidification and cooling, Gating Design, Design
considerations, defects.
Forming
Processes: Stress-strain diagrams for ductile and brittle material, Plastic
deformation and yield criteria, Fundamentals of hot and cold working
processes, Bulk metal forming processes (forging, rolling extrusion,
drawing), Sheet metal working processes (punching, blanking, bending, deep
drawing, coining, spinning, Load estimation using homogeneous deformation
methods, Defects). Processing of Powder metals- Atomization, compaction,
sintering, secondary and finishing operations. Forming and shaping of
Plastics- Extrusion, Injection Molding.
Joining
Processes: Physics of welding, Fusion and non-fusion welding processes,
brazing and soldering, Adhesive bonding, Design considerations in welding,
Weld quality defects.Machining and Machine Tool
Operations:
Mechanics of machining, Single and multi-point cutting tools, Tool geometry
and materials, Tool life and wear, cutting fluids, Machinability, Economics
of machining, non-traditional machining processes.
Metrology and
Inspection: Limits, fits and tolerances, linear and angular measurements,
comparators, gauge design, interferometry, Form and finish measurement,
measurement of screw threads, Alignment and testing methods.
Tool Engineering:
Principles of work holding, Design of jigs and fixtures. Computer Integrated
Manufacturing: Basic concepts of CAD, CAM and their integration tools.
Manufacturing
Analysis: Part-print analysis, tolerance analysis in manufacturing and
assembly, time and cost analysis.
Work-Study:
Method study, work measurement time study, work sampling, job evaluation,
merit rating.
Production
Planning and Control: Forecasting models, aggregate production planning,
master scheduling, materials requirements 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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