EN010301A ENGINEERING MATHEMATICS II
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Objectives
- To apply standard
methods and basic numerical techniques for solving problems and to know
the importance of learning theories in Mathematics.
MODULE 1 Vector
differential calculus (
12 hours)
Scalar and vector fields
– gradient-physical meaning- directional derivative-divergence an curl -
physical meaning-scalar potential conservative field- identities - simple
problems
MODULE 2 Vector
integral calculus (
12 hours)
Line integral - work
done by a force along a path-surface and volume integral-application of Greens
theorem, Stokes theorem and Gauss divergence theorem
MODULE 3 Finite
differences ( 12 hours)
Finite difference
operators 
and 
- interpolation using Newtons forward and
backward formula – problems using Stirlings formula, Lagrange’s formula and
Newton’s divided difference formula
and - interpolation using Newtons forward and
backward formula – problems using Stirlings formula, Lagrange’s formula and
Newton’s divided difference formula
MODULE 4 Difference
Calculus (
12 hours)
Numerical
differentiation using Newtons forward and backward formula – Numerical integration – Newton’s –
cotes formula – Trapezoidal rule – Simpsons 1/3rd and 3/8th
rule – Difference equations – solution of difference equation
MODULE 5 Z transforms
(
12 hours)
Definition of Z
transforms – transform of polynomial function and trignometric functions
– shifting property , convolution property - inverse transformation – solution
of 1st and 2nd
order difference equations with constant coifficients using Z transforms.
Reference
1. Erwin Kreyszing – Advance Engg.
Mathematics – Wiley Eastern Ltd.
2. B.S. Grewal – Higher Engg.
Mathematics - Khanna Publishers
3. B.V. Ramana - Higher Engg.
Mathematics – McGraw Hill
4. K Venkataraman- Numerical methods
in science and Engg -National publishing
co
5. S.S Sastry - Introductory methods
of Numerical Analysis -PHI
6. T.Veerarajan and T.Ramachandran-
Numerical Methods- McGraw Hill
7. Babu Ram – Engg. Mathematics
-Pearson.
8. H.C.Taneja Advanced Engg. Mathematics
Vol I – I.K.International
EN010 302 Economics and
Communication Skills
(Common to all
branches)
Teaching scheme
2hours lecture and 2
hours tutorial per week
Credits: 4(3+1)
Objectives
·
To impart a sound knowledge of the fundamentals
of Economics.
Economics
Module I (7
hours)
Reserve Bank of
India-functions-credit control-quantitative and qualitative techniques
Commercial banks-functions- Role
of Small Industries Development Bank of India and National Bank for
Agriculture and Rural Development
The stock
market-functions-problems faced by the stock market in India-mutual funds
Module II (6
hours)
Multinational corporations in
India-impact of MNC’s in the Indian economy
Globalisation-necessity-consequences
Privatisation-reasons-disinvestment
of public sector undertakings
The information technology
industry in India-future prospects
Module III (6
hours)
Direct and indirect taxes- impact
and incidence- merits of direct and indirect taxes-progressive and regressive
taxes-canons of taxation-functions of tax system-
tax evasion-reasons for tax
evasion in India-consequences-steps to control tax evasion
Deficit financing-role-problems
associated with deficit financing
Module IV (5
hours)
National income-concepts-GNP,
NNP, NI, PI and DPI-methods of estimating national income-difficulties in
estimating national income
Inflation-demand pull and cost
push-effects of inflation-government measures to control inflation
Module V (6
hours)
International trade-case for free
trade-case for protectionism
Balance of payments-causes of
disequilibrium in India ’s
BOP-General Agreement on Tariffs and Trade-effect of TRIPS and TRIMS in the
Indian economy-impact of WTO decisions on Indian industry
Text Books
1. Ruddar Datt, Indian Economy, S.Chand and Company Ltd.
2. K.K.Dewett,
Modern Economic Theory, S.Chand and Company Ltd.
References
1. Paul
Samuelson, Economics, Tata McGraw Hill
2. Terence
Byres, The Indian Economy, Oxford
University
3. S.K.Ray,
The Indian economy, Prentice Hall of India
4. Campbell McConnel,
Economics, Tata McGraw Hill
Communication Skills
Objectives
·
To improve Language Proficiency of the
Engineering students
·
To enable them to express themselves fluently
and appropriately in social and professional contexts
·
To equip them with the components of different
forms of writing
MODULE – 1 (15 hours)
INTRODUCTION TO COMMUNICATION
Communication nature and process,
Types of communication - Verbal and Non verbal, Communication Flow-Upward,
Downward and Horizontal, Importance of communication skills in society,
Listening skills, Reading comprehension, Presentation Techniques, Group
Discussion, Interview skills, Soft skills
MODULE – II (15
hours)
TECHNICAL COMMUNICATION
Technical writing skills-
Vocabulary enhancement-synonyms, Word Formation-suffix, affix, prefix, Business
letters, Emails, Job Application, Curriculum Vitae, Report writing- Types of
reports
Note: No university examination for
communication skills. There will be internal evaluation for 1 credit.
REFERENCES
- The functional aspects of communication skills, P.Prasad and Rajendra K. Sharma, S.K. Kataria and sons, 2007
- Communication skills for Engineers and Scientists, Sangeeta Sharma and Binod Mishra, PHI Learning private limited, 2010
- Professional Communication, Kumkum Bhardwaj, I.K. International (P) House limited, 2008
- English for technical Communication, Aysha Viswamohan, Tata Mc Graw Publishing company limited, 2008
ME010 303: Fluid Mechanics
(Common with AN010 303 &
PE010 303)
Objectives
·
To impart the basic concepts of fluid
mechanics by providing exposure to diverse real world engineering examples.
·
To develop understanding about basic
laws and equations used for analysis of static and dynamic fluids.
Module I (15 hours)
Introduction and basic
concepts-properties of fluids-density, specific gravity, specific weight,
specific volume, capillarity, surface tension, compressibility, bulk modulus,
viscosity-Newtonian and non Newtonian fluids.
Fluid statics: pressure-variation
of pressure-absolute and guage pressure- Pascal’s law, manometers- hydrostatic
force on plane and curved surfaces-buoyancy and floatation- stability of
submerged and floating bodies-metacentric height.
Module II (12 hours)
Euler’s momentum
equation-Bernoulli’s equation and its limitations-momentum and energy
correction factors-applications of Bernoulli’s equation-venturimeter, orifice
meter, pitot tube, orifices and mouthpieces, notches and weirs-rotameter.
Module III (10 hours)
Flow through pipes-laminar and
turbulent flow in pipes-critical Reylond’s number- Darcy Weisbach
equation-hydraulic radius-power transmission through pipes-losses in pipes-pipes
in series pipes in parallel-hydraulic gradient line and total energy
line-equivalent pipe--moody’s diagram-water hammer.
Open channel flow-Chezy’s
equation-most economical cross section-hydraulic jump.
Module IV (12 hours)
Fluid kinematics-Eulerian and
Lagrangian approaches-classification of fluid flow-graphical description of
flow pattern-stream lines, path lines, streak lines, stream tubes-velocity and
acceleration in fluid flow-continuity equation.
Ideal fluids-rotational and
irrotational flow-circulation and vorticity-potential function and stream
function, basic flow fields-uniform flow. Source, sink, doublet, vortex, spiral
flow, flow past a cylinder with circulation-Magnus effect-Joukowski theorem.
Module V (11 hours)
Boundary layer-boundary layer
flow theory- boundary layer over flat plate- boundary layer
thickness-displacement, momentum and energy thickness-boundary layer separation-methods
of controlling-wake-drag force on a rectangular plate-pressure drag-friction
drag-total drag-streamlined body-bluff body, lift and drag force on an aerofoil-characteristics-work
done. Hagen-Poiseuille equation.
Text
Books
1. Yunus A. Cengel and John M.
Cimbala, Fluid Mechanics, Tata McGraw Hill, New Delhi
2. R.K.Rajput, Fluid Mechanics,
S Chand and Company, New Delhi
Reference Books
1. Douglas, Fluid Mechanics,
Pearson Education, New Delhi
2. Shames I.H, Fluid Mechanics,
Tata McGraw Hill, New Delhi
3. D. S .Kumar , Fluid
Mechanics, S. K. Kataria & Sons, New Delhi
4. White F.M, Fluid Mechanics,
Tata McGraw Hill, New Delhi
5. S. K. Som & G Biswas, Fluid
Mechanics, Tata McGraw Hill, New
Delhi
6. R. K. Bhansal, Fluid
Mechanics& Hydraulic Machines, Laxmi Publications, New Delhi
7. B.S Massey, Fluid Mechanics,
Tata McGraw Hill, New Delhi
8. Mody & Seth, Fluid
Mechanics& Hydraulic Machines, Laxmi Publications, New Delhi
9. F.M. Streeter, Fluid
Mechanics, Tata McGraw Hill, New
Delhi
Jagdishlal , Fluid
Mechanics & Hydraulics, Metropolitan Book Co.,
ME010 304: Metallurgy and Material Science
(Common with PE010 304 and AU010
304)
Objectives
·
To provide physical concepts of
atomic radius, atomic structure, chemical bonds, crystal structure, grain size,
work hardening,, heat treatment etc. of metals with mechanical behaviour.
·
To understand the causes of metal
failure and deformation
·
To determine properties of unknown
materials and develop an awareness to apply this knowledge in material design.
Module 1 (12
hours)
Atomic
structure:- Correlation of atomic radius to strength, electron configurations
(basic only) - Primary bonds:-
Covalent and Ionic bond: bond energy with strength, cohesive force, density,
directional and non-directional bonding; Metallic bond: conductivity,
ductility, opaque, lustrous, density,
non directional bonding – Specific properties of bonding:- Deeper
energy well bond and shallow energy well bond, melting temperature, modulus of
elasticity, coefficient of thermal expansion and attributes of modulus of
elasticity in metal cutting process - Secondary bonds:-
classification, hydrogen bond, specific heat etc.
Crystallography:-
Crystal, space lattice, unit cell - BCC, FCC, HCP structures - short
and long range order - Effects of crystalline and amorphous structure on
mechanical properties - Determination of atomic packing factor of SC, BCC, FCC,
coordination number; densities - Polymorphism and allotropy - Miller Indices:- slip system,
brittleness of BCC, HCP and ductility of FCC - Modes of plastic
deformation:- Slip, twinning, Schmid's law, correlation of slip system with slip in
metals.
Module 2 (12
hours)
Classification
of crystal imperfections: - types of dislocation,
source of dislocation, cross
slip, climb, jog, kink, forest of dislocation, role of surface defects
on crack initiation - Burgers vector - Correlation of dislocation density with strength and nano concept - Significance of Frank
and Read source in metals deformation - Mechanism of crystallization:
Homogeneous and heterogeneous nuclei formation, under cooling, dendritic growth, grain boundary irregularity -
Effects of grain size, grain size distribution, grain shape, grain orientation
on dislocation/strength and creep
resistance - Hall - Petch equation; significance high and low angle
grain boundaries on dislocation - –
polishing and etching to determine the microstructure - crystal structure determination by X - ray
diffraction method - Diffusion
in solids, fick’s laws, mechanisms, applications of diffusion in mechanical
engineering.
Module 3 (12 hours)
Phase diagrams: - Limitations of pure metals and need
of alloying - classification of alloys,
solid
solutions, Hume
Rothery`s rule - single phase,
multi-phase equilibrium diagrams - lever rule and Gibb`s phase rule - Coring -
Equilibrium diagrams reactions:- monotectic, eutectic, eutectoid, peritectic,
peritectoid - Detailed discussion on Iron-Carbon
equilibrium diagram with microstructure
and properties changes in
austenite, ledeburite, ferrite, cementite, interlamellar spacing of pearlite to
strength etc, special features of
martensite transformation, bainite, spheroidite etc..
Heat treatment:- Definition
and necessity - TTT
diagrams - critical cooling rate (CCT)
- annealing, normalizing, hardening, spheroidizing - Tempering:-
austermpering, martempering and ausforming - Hardenability, Jominy end quench
test, applications – hardness and
micro-hardness tests - surface hardening methods:-
carburizing processes; Nitriding; Flame,
induction, laser and electron beam hardening processes; applications -
Types of Strengthening
mechanisms:- grain size
reduction, work hardening, Solid solution hardening, precipitation strengthening and over
ageing, dispersion hardening - Cold working: Detailed discussion
on strain hardening; recovery; re-crystallization, effect of stored energy;
re-crystallization temperature, effect of grain size; driving force for grain
growth - hot working - Bauschiner effect and attributes in metal
forming.
Module 4 (12
hours)
Alloy steels:- Effects of alloying
elements on: dislocation movement, polymorphic transformation temperature,
formation and stability of carbides, grain growth, displacement of the
eutectoid point, retardation of the transformation rates, improvement in
corrosion resistance, mechanical properties
– Nickel steels, Chromium steels etc. - Enhancement of steel properties by adding alloying elements:- Molybdenum, Nickel, Chromium, Vanadium,
Tungsten, Cobalt, Silicon, Copper and Lead – High speed steels:- Mo and W types, effect of different alloying
elements in HSS - Cast irons: Classifications, grey, white, malleable and spheroidal
graphite cast iron, composition, microstructure, properties and applications –
Principal Non ferrous Alloys: - Aluminum, Copper, Magnesium,
Nickel, Titanium, study of composition, microstructure, properties, applications,
reference shall be made to the phase diagrams whenever necessary.
Module 5 (12 hours)
Fracture: – Brittle and ductile fracture -
Griffith theory of brittle fracture - stress concentration, stress raiser –
Effect of plastic deformation on crack propagation – transgranular, intergranular fracture - Effect of impact loading on
ductile material and its application in forging etc.- Fatigue:- Stress cycles – Primary and secondary stress raisers - Characteristics
of fatigue failure, S-N curve - Factors affecting fatigue strength:
stress concentration, size effect, surface roughness, change in surface
properties, surface residual stress -Ways to improve fatigue life – effect of
temperature on fatigue, thermal fatigue and its applications in metal cutting –
Mechanism of fatigue failure – structural
features of fatigue:- crack initiation, growth, propagation – fatigue tests - Fracture toughness
(definition only) - Ductile to brittle
transition temperature (DBTT)
in steels - Creep:- Creep curves –
creep tests- Structural change:- deformation by slip, sub-grain
formation, grain boundary sliding – Mechanism of creep deformation - threshold
for creep - prevention against creep- Super plasticity: applications.
Text Books
1.Introduction to Physical Metallurgy – Tata McGraw Hill.
2.Callister William. D. – Material Science and Engineering – John
Wiley.
3.Dieter George E. – Mechanical Metallurgy – McGraw Hill.
4.Higgins R.A. – Engineering Metallurgy part - I – ELBS.
5.Raghavan V. - Material Science and Engineering - Prentice Hall.
6. Van Vlack – Elements of Material Science - Addison Wesley.
Reference Books
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1.Anderson J.C. et.al. – Material Science for Engineers – Chapman and Hall.
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2.Clark and Varney - Physical metallurgy for Engineers – Van
Nostrand.
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3.Manas Chanda - Science to Engineering
Materials - Vol I, II and III - Macmillan
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4.Reed Hill E. Robert – Physical Metallurgy Principles – East West
Press.
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5.Richards C.W. – Engineering Material Science.
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ME010 305: Programming in C
(Common with PE010 305 and
AU010 305)
Objectives
- To impart advanced knowledge in
programming in C language
Module I (15 hours)
Introduction to computer
programming; Various I/O functions; Data types; Constants and Variables; Escape
Sequences; Type Casting; Preprocessor Directive; Storage Classes; Scope of
Variables; Mathematical Operators; Relational Operators; Branching
Instructions; Logical Operators; Conditional Operator; Precedence of Operators;
Loops – for, while and do-while, break and continue instructions, Nested Loops;
Switch statement; Evaluation of ex, sin(x), cos(x) Numerical
Integration using Trapezoidal and Simpson’s rules.
Module II (10 hours)
Arrays; One Dimensional Arrays;
Selection Sorting; Binary Searching; Various String Handling Functions;
Multidimensional Arrays; Matrix Operations (Addition, Transpose and
Multiplication); Sorting of Strings; Structure and Union ;
Array of Structures;
Module III (10 hours)
Functions; Call by Value Method;
Stack; Passing One Dimensional and Multidimensional Arrays to a Function;
Recursion; Writing Different String Handling Functions Using Simple Functions
and Functions with Recursive Calls; Quick Sorting; Macros; Writing Macros for
Simple Operations;
Module IV (15 hours)
Declaration of Pointers; Call by
Reference Method; Pointer to a Structure; Pointer to an Array; Array of
Pointers; Pointer to a Pointer; Self Referential Structure; Dynamic Memory
Allocation; Reallocation of Memory; Linear Linked List; Circular Linked List;
Double Linked List; Addition, Insertion and Deletion of Nodes from a Linked
List; Command Line Arguments
Module V (10 hours)
Different types of Files;
Reading, Writing, Appending and Rewriting of Text and Binary Files; Transfer of
Data in Blocks; Moving of File Pointer in a File; Usage of bitwise AND, OR, NOT, XOR, Shift
Left and Shift Right Operations
Text Books
1. Bryon S.Gottfried, Programming with C Language.
Reference Books
1. Balaguruswamy, Programming in ANSI C,
2. Deitel, How to Program C
3. Kamthane, Programming with ANSI
and Turbo C
ME010
306(CE) Strength of Materials & Structural Engineering
(Common with PE010 306(CE), AU010 306(CE) and PO010 306(CE))
Teaching Scheme:-
3 hours lecture and 1 hour tutorial per week Credits: 4
Objectives
·
To study internal effects produced and
deformations of bodies caused by externally applied forces.
·
To understand the stresses and strains in
different materials and analyse strength characteristic of structural members.
Module I (15 hours)
Introduction to analysis of deformable bodies:-
stresses due to normal, shear and bearing loads-Axial and
shear strains –
Simple stresses and strains: Material behavior - uniaxial
tension test - stress-strain diagrams. Hooke's law for linearly elastic
isotropic material.
Elastic constants - relation between them - Bars of varying
cross section -Composite sections-Equilibrium and compatibility conditions-
Temperature stresses
Module II (10 hours)
Bending moment and shear force: Cantilever, simply supported and
overhanging beams concentrated and U.D loading(analytical method) Relation
between load shear force and bending moment.
Module III (15 hours)
Stresses in beams: Pure bending - flexure formula for beams
- assumptions and limitations section modulus - flexural rigidity - economic
sections beams of uniform strength. Shearing stress formula for beams -
assumptions and limitations.
Deflection of beams: Moment-curvature relation - assumptions
and limitations singularity functions - Macaulays method - moment area method
for simple cases.
Module IV (10 hours)
Torsion: Torsion theory of elastic circular bars – solid and
hollow shaft assumptions and limitations - polar modulus torsional rigidity -
economic cross-sections.
Pressure vessels: Thin and thick cylinders-Lame's
equation-stresses in thick cylinders due to internal pressure – compound pipes.
Module V (10 hours)
Combined stresses: Principal stresses and planes-Mohr's
circle representation of stress in 2D problems. Use of strain gage rosettes.
Combined axial, flexural and torsional loads.
Theory of columns: Buckling theory -Euler's formula for long
columns - assumptions and limitations - effect of end conditions - slenderness
ratio - Rankine's formula for intermediate columns Eccentric loading of
columns - kern of a section (rectangular and circular section).
Text
Books
1.
Timoshenko.S.P, Strength of Materials, Part 1,D.Van
Nostrand company, Inc.Newyork.
2. Bansal R.K., Strength of
Materials, Lakshmi Publications, New
Delhi
3. Mott, Robert L, Applied
strength of materials, 5th Edn, Prentice Hall of India.
4. Popov E.P.,
Engineering Mechanics of solids, Prentice Hall of India, New Delhi
Reference Books
- Nash.W.A , Strength of Materials,
Schaum’s Outlines,$th Edn, TMH
- Gere, James M , Mechanics of
Materials, Cengage Learning.
- Shames IH , Pitarresi, James.M,
Introduction to Solid Mechanics, Prentice Hall of
ME010 307: Computer
Programming Lab
(Common with PE010 408 and
AU010 307 )
Objectives
·
To provide
experience in programming with C language
·
To familiarize with operating systems. file
directories, editors, compilers and file managers etc.
·
To
obtain exposure to computer programming languages for technical computation
like MatLab
·
Programming
experiments in C to cover control structures functions, arrays, structures,
pointers and files
Counting characters, lines and words
ii.
Checking leap year
iii.
Finding sum of digits and reversing a
number
iv.
Generating Prime numbers, Fibonacci
numbers and Angstrom numbers
v.
Sine and Cosine series generation
vi.
Implementation of Numerical Integration
using Simpson’s and Trapezoidal rules
vii.
Sorting of numbers, strings and records
viii.
Matrix addition and multiplication
ix.
Implementation of dynamic memory
allocation
x.
Implementation of linked lists
xi.
Problems related to files
xii.
Problems related to command line
arguments
ME010 308: Fluid Mechanics Lab
(Common with AN010 308 , PE010
308 and AU010 308 )
Objectives
·
To provide exposure to the actual flow
process and various instruments adopted for flow measurement .
Ø
Study and acquire a thorough knowledge of the
various pipe fittings and plumbing tools.
Ø
Study the use of different types of taps,
valves.
Ø
Study the various measuring instruments like
gauges, pitot tube, watermeters and current meters.
Ø
Determination of metacentric height and radius
of gyration of floating bodies.
Ø
Determination of hydraulic coefficients of
orifices and mouthpieces under constant head method and time of emptying
method.
Ø
Calibration of discharge measuring equipments in
closed conduits like venturimeter, orificemeter, watermeter etc.
Ø
Calibration of discharge measuring equipments in
open channel flow like rectangular and triangular notches.
Ø
Determination of Darcy’s constant and Chezy’s
constant for pipe flow.
Ø
Determination of critical velocity in pipe flow.
Ø
Determination of
minor losses in pipe flow.
Ø
Experimental verification of Bernoulli’s
theorem.
Ø
Determination of Chezy’s constant and Manning’s
number for open channel flow.
Ø
Calibration of Plug –Sluices.
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