B.Tech (Civil) Syllabus

Semester III

  • COURSE CODE
    COURSE NAME
    CREDITS
  • JECE-301

    Fluid Mechanics:

    UNIT-I

    Introduction: Fluids and continuum; Physical properties of fluids: Viscosity, Compressibility, Surface Tension, Capillarity, Vapour Pressure; Cavitations; Classification of fluids including Rheological classification. Fluid Statics: Pascal’s law; Pressure-density-height relationship; Measurement of pressure by Manometers and mechanical gauges; Pressure on plane and curved surfaces; The Hydrostatic law; Total Pressure and Centre of pressure; Buoyancy; Stability of immersed and floating bodies; Fluid masses subjected to uniform horizontal and vertical accelerations. Dimensional Analysis: Units and Dimensions, Dimensional analysis, Rayleigh’s method, Buckingham’s ∏ theorem, Important dimensionless numbers used in fluid mechanics and their Significance

    UNIT-II

    Hydraulic Similitude and Model Studies: Model and prototype; Similitude; Geometric, Kinematic and Dynamic similarity; Model Laws; Un-distorted model studies. Fluid Kinematics: Description of Fluid flow: Lagrangian and Eulerian approach; Types of fluid Flows: Steady and unsteady, Uniform and non- uniform, Laminar and turbulent flows, 1, 2 and 3-D flows; Stream lines, Path lines and Streak lines; Stream tube; Acceleration of a fluid particle along a straight and curved path; Differential and Integral form of Continuity equation; Rotation, Vorticity and Circulation; Elementary explanation of Stream function and Velocity potential; Flow net characteristics, uses and experimental and graphical methods of drawing. Fluid Dynamics-I: Concept of control volume and control surface, Reynolds Transport Theorem, Introduction to Navier-Stokes Equations, Euler’s equation of motion along a streamline and its integration, Bernoulli’s equation and its applications – Pitot tube, Flow through orifices, Mouthpieces, Nozzles, Notches, Weirs, Sluice gates under free and submerged flow conditions; Free and Forced vortex motion.

    UNIT-III

    Fluid Dynamics-II: Impulse-Momentum Principle; Moment of momentum equation; Momentum equation application to stationary and moving vanes, pipe bends, Problems related to, combined application of energy and momentum equations, flow measurements, determination of coefficients of discharge, velocity and contraction and energy loss. Laminar Flow: Reynolds Experiment; Equation of motion for laminar flow through pipes; Flow between parallel plates; Kinetic energy and Momentum correction factors; Stokes law; Flow through porous media; Darcy’s Law; Fluidization; Measurement of viscosity; Transition from Laminar to turbulent flow. Turbulent Flow: Turbulence; Equation for turbulent flow; Reynolds stresses; Eddy viscosity; Mixing length concept and velocity distribution in turbulent flow; Working principle of Hot-wire Anemometer and Laser Doppler anemometer (LDA)

    UNIT-IV

    Boundary Layer Analysis: Boundary layer thicknesses; Boundary layer over a flat plate; Laminar boundary layer; Application of Von-Karman Integral Momentum Equation; Turbulent boundary layer; Laminar sub-layer; Hydro-dynamically Smooth and rough boundaries; Local and average friction coefficient; Total drag; Boundary layer separation and its control. Flow Through Pipes: Nature of turbulent flow in pipes; Equation for velocity distribution over smooth and rough surfaces; Major and Minor energy losses; Resistance coefficient and its variation; Hydraulic gradient and total energy lines; Flow in sudden expansion, contraction, diffusers, bends, valves and siphons; Concept of equivalent length; Branched pipes; Pipes in series and parallel; Simple pipe networks.

    UNIT-V

    Compressibility Effects in Pipe Flow: Transmission of pressure waves in rigid and elastic pipes; Water hammer; Analysis of simple surge tank excluding friction. Ideal (Potential) Fluid Flow: Importance; Elementary concept of the uniform flow, the source Flow, the sink flow and the free vortex flow. Flow Past Submerged Bodies: Drag and lift, Types of drag force, Drag on sphere, Cylinder and Airfoil; Circulation and Lift on a cylinder and airfoil; Magnus effect.

    Books:

    • 1. R J Fox: Introduction to Fluid Mechanics
    • 2. Hunter Rouse: Elementary Mechanics of Fluids, John Wiley and sons, Omc.
    • 3. L H Shames: Mechanics of Fluids, McGraw Hill, International student edition.
    • 4. Garde, R J and A G Mirajgaonkar: Engineering Fluid Mechanics (including Hydraulic machines), second ed., Nemchand and Bros, Roorkee, 1983.
    • 5. K L Kumar: Engineering Fluid Mechanics
    • 6. Munson, Bruce R, Donald F Young and T H Okishi, Fundamentals of Fluid Mechanics, 2nd ed, wiley Eastern.
    • 7. V Gupta & SK Gupta, Fluid Mechanics & its Applications, Wiley Eastern Ltd.
    • 8. Som and Biswas: Introduction to Fluid Mechanics and Machines, TMH.
    • 9. R K Bansal: Fluid Mechanics and Hydraulic Machines
    • 10. Modi and Seth: Fluid Mechanics and Fluid Machines
    04
  • JECE-302

    Basic Surveying:

    UNIT-I

    Importance of surveying to Engineers –Examples from different fields; Plane and Geodetic Surveying, Control Points, Classification of surveys, Methods of locating a point, Sources and Types of errors, Principle of working from whole to part.
    Measurement of Distances: Principle of different methods and their accuracy, Measurement by chain and tape, Sources of errors and precautions, Corrections to tape measurements, Field problems, Use and adjustment of auxiliary instruments, Introduction of modern trends: EDM and Total Stations.

    UNIT-II

    Measurements of Angles and Directions: Compass Surveying: Reference meridians, Bearing and azimuths, Magnetic declination and its variations, Use and adjustment of compass.
    Theodolite Surveying: Vernier theodolite, micro-optic and electronic theodolites, Temporary and permanent adjustments, Measurement of horizontal and vertical angles.

    UNIT-III

    Principles of traversing by compass and theodolite, Field work and checks, Computation of coordinates, Sources of errors, Precision of traversing, Checking and adjusting of traverse, omitted measurements.
    Tacheometry: Definitions, Principles of stadia systems, Instrument constants, Subtense and tangential systems, Construction and use of Reduction Tacheometers, Errors and Precision.

    UNIT-IV

    Measurements of Elevation and Contouring: Different methods of determining elevation; Spirit levelling: Definition of terms, Principle, Construction, Temporary and permanent adjustments of levels. Automatic levels, Levelling staves, Methods of spirit levelling, Booking and reduction of fields notes, Curvature and refraction, Reciprocal levelling, Construction and field use of altimeter, Trigonometric levelling-simple and reciprocal observations, Sources of errors and precision of levelling procedures, Methods of relief representations, Definition and characteristics of contours, Use of contour maps, Direct and Indirect methods of contouring, Digital Elevation Model.

    UNIT-V

    Plane Table Surveying: Principle, Advantages and disadvantages, Plane Table equipment, Use of telescopic alidade and self reducing alidades, Different methods of Plane Table Surveying, Resection-Two and three point problems, Advantages and disadvantages of Plane Table surveying.
    Sheet Numbering System: CIM and I &A C series, scales and numbering of Indian topographic maps.

    Books:

    • 1. Agor, R. “Surveying”, Vol. I & II Khanna Publications, Delhi,.
    • 2. Arora, K.R., “Surveying” , Vol. I & II Standard Book House, Delhi,
    • 3. Bannister, A. and Baker, R., “Solving Problems in Surveying”, Longman Scientific Technical, U.K., 1994.
    • 4. Punmia, B.C., “Surveying”, Vol. I & II, Laxmi Publications New Delhi,
    • 5. Duggal, S.K., Surveying Vol. I & II TMH
    04
  • JECE-303

    Building Material & Construction:

    UNIT-I

    Building Materials: Classification, Properties and selection criteria of Bricks Burning of Bricks, tests for bricks, stone Classification, characteristics of good building stone, common building stones in India, lime , IS specifications , Field tests of Building limes, timber, Characteristics of good timber, defects in timber, seasoning of timber, tests on timber, plywood, glass, plastics, P.V.C.
    Mortar: Types, classification and strength, I.S. specifications.

    UNIT-II

    Cement, Manufacture of cement, Different types of cement such as slag Cement, Portland Pozzolona Cement and high Alumina cement, their characteristics, composition, use and properties, Tests on Cements, Admixtures, Aggregates and Testing of Aggregates: Classification, source, physical and mechanical properties, Testing of Aggregates for physical and mechanical properties.

    UNIT-III

    Building Construction: Classification of buildings, Recommendations of NBC, Building byelaws, modular co-ordination; orientation of buildings, desirable conditions of conforts, components of Building area considerations. Types of foundations and selection criteria. Brick masonry, stone masonry, Types of walls, partition and cavity walls. Prefabricated construction, Plastering and pointing, Damp proofing materials and techniques, Anti termite Treatment.

    UNIT-IV

    Types floors, construction details and selection criteria. Types of roofs and roof covering, treatment for water proofing. Stair and staircases: Types, materials, proportions Doors and windows: sizes and locations, proportions.

    UNIT-V

    Lifts and escalators. White washing, colour washing, painting, distempering. Shuttering, scaffolding and centring, Expansion and construction joints Sound and fire proof construction, I.S. specifications.

    Books:

    • 1. Arora, S.P. & Bindra, S.P., ‘A text book of Building Construction” Dhanpat Rai & Sons, Delhi, 1977.
    • 2. Jha, J. & Sinha, S.K., “Building Construction”, Khanna Publishers, Delhi.
    • 3. Kulkarni, C.J., “A text book of Engineering Materials”, Ahmedabad book Depot, Ahmedabad, 1968.
    • 4. Kulkarni, C.J., “A text book of Engineering Construction”, Ahmedabad Book Depot, Ahmedabad, 1968.
    • 5. Kumar Sushil, “Engineering Materials, “Standard Pub. Distributors, Delhi.
    • 6. Kumar Sushil, “ Building construction”, Standard Publishers, Distributors, Delhi, 1994
    • 7. McKay W.B., “Building Construction, “Vol.1 to 4, Orient Longman Ltd., Hyderabad, Bombay, Madras, Delhi, Vol.1 & 2 -1995, Vol. 3-1996, Vol. 4.
    • 8. Punmia, B.C., “A text book of Building Construction “, Laxmi Publications, Delhi, Madras, 1987.
    04
  • JEOE-031-038 /JEAS-301

    Science Based Open Elective/Engineering Mathematics III

    Introduction to Soft Computing (JEOE-031):

    UNIT-I

    Neural Networks-1(Introduction & Architecture) Neuron, Nerve structure and synapse, Artificial Neuron and its model, activation functions, Neural network architecture: single layer and multilayer feed forward networks, recurrent networks, Various learning techniques; perception and convergence rule, Auto-associative and hetro-associative memory.

    UNIT-II

    Neural Networks-II (Back propogation networks) Architecture: perceptron model, solution, single layer artificial neural network, multilayer perception model; back propogation learning methods, effect of learning rule co-efficient ;back propagation algorithm, factors affecting backpropagation training, applications.

    UNIT-III

    Fuzzy Logic-I (Introduction) Basic concepts of fuzzy logic, Fuzzy sets and Crisp sets, Fuzzy set theory and operations, Properties of fuzzy sets, Fuzzy and Crisp relations, Fuzzy to Crisp conversion.

    UNIT-IV

    Fuzzy Logic II (Fuzzy Membership, Rules) Membership functions, interference in fuzzy logic, fuzzy if-then rules, Fuzzy implications and Fuzzy algorithms, Fuzzy fications & Defuzzi ficataions, Fuzzy Controller, Industrial applications.

    UNIT-V

    Genetic Algorithm(GA): Basic concepts, working principle, procedures of GA, flow chart of GA, Genetic representations, (encoding) Initialization and selection, Genetic operators, Mutation, Generational Cycle, applications.

    Books:

    • 1. S. Rajsekaran & G.A. Vijayalakshmi Pai, “Neural Networks,Fuzzy Logic and Genetic
    • 2. Algorithm:Synthesis and Applications” Prentice Hall of India.
    • 3. N.P.Padhy,”Artificial Intelligence and Intelligent Systems” Oxford Univ. Press
    • 4. Siman Haykin,”Neural Netowrks”Prentice Hall of India
    • 5. Timothy J. Ross, “Fuzzy Logic with Engineering Applications” Wiley India.

    Nano Sciences (JEOE-032):

    UNIT-I

    Introduction: Definition of Nano-Science and Nano Technology, Applications of Nano Technology, Introduction to Physics of Solid State: Structure: Size dependence of properties; crystal structures, face centred cubic, nano particles; Tetrahedrically bounded semiconductor structures; lattice vibrations. Energy Bands: Insulators, semiconductor and conductors; Reciprocal space; Energy bands and gaps of semiconductors; effective masses; Fermi Surfaces. Localized Particles: Acceptors and deep taps; mobility; Excitons.

    UNIT-II

    Quantum Theory For Nano Science: Time dependent and time independent Schrodinger wave equations. Particle in a box, Potential step: Refelection and tunneling(Quantum leak). Penetration of Barrier, Potential box (Trapped particle in 3D: Nanodot), Electron trapped in 2D plane (Nano sheet), Quantum confinerment effect in nano materials. Quantum Wells, Wires and Dots Preparation of Quantum Nanostructure; Size and Dimensionality effect, Fermigas: Potential wells; Partial confinement: Excitons: Single electron Tunneling, Infrared etectors: Quantum dot laser Superconductivity, Properties of Individual Nano particlesMetal Nano clusters: Magic Numbers; Theoretical Modelling of Nanopraticles; geometric structure; electronic structure; Reactivity; Fluctuations Magnetic Clusters; Bulle to Nano structure. Semi conducting Nanoparticles: Optical Properties; Photofragmentation; Coulmbic explosion. Rare Gas & Molecular Clusters: Inert gas clusters; Superfluid clusters molecular clusters.

    UNIT-III

    Growth Techniques of Nanomaterials: Lithograpahic and Nonlithograpahic techniques, Sputtering and film deposition in glow discharge, DC sputtering technique (p-CuAlO2 deposition), Thermal evaporation technique, E-beam evaporation, Chemical Vapour deposition(CVD), Synthesis of carbon nano-fibres and multi-walled carbon nanotubes, Pulsed Laser Deposition, Molecular beam Epitoxy, Sol-Gel Techniuqe (No chemistry required), Synthesis of nanowires/rods, Electrodeposition, Chemical bath deposition, Ion beam deposition system, Vapor-Liquid –Solid (VLS) method of nanowires.

    UNIT-IV

    Methods of Measuring Properties: Structure: Crystallography, particle size determination, surface structure, Microscopy: Scanning Prob Microscopy (SPM), Atomic Force Microscopy (AFM), Field Ion Microscopy, Scanning Electron Microscopy, Transmission Elecrtron Microscopy (TEM)Spectroscopy: Infra red and Raman Spectroscopy, X-ray Spectroscopy, Magnetic Resonance, Optical and Vibrational Spectroscopy, Luninscence.

    UNIT-V

    Buckey Ball: Nano structuresof carbon (fullerene): Carbon nano-tubes: Fabrication, structure, Electrical, mechanical, and vibrational properties and applications. Nano diamond, Boron Nitride Nano-tubes, single elecron transistors, Moelcular machine, Nano-Biometrics, Nano Robots

    Books:

    • 1. C.P.Poole Jr F.J. Owens, “Introduction to Nanotechnology”.
    • 2. “Introduction to S.S. Physics” Wiley 1996.
    • 3. S. Sugano & H. Koizuoni, “Microcluster Physics” –Springor 1998
    • 4. “Handboole of Nanostructured Materials & Nanotechnology” vol.-5.
    • 5. A.K.Bandyopadhyay, “Nano Materials” New Age International.

    Laser Systems and Applications (JEOE-033):

    UNIT-I & II

    Introduction: Review of elementary quantum physics, Schrodinger equation, concept of coherence, absorption, spontaneous emission and stimulated emission processes, relation between Einstein’s A and B coefficients, population inversion, pumping, gain, optical cavities.

    UNIT-III & IV

    Lasers & Laser Systems: Main components of Laser, principle of Laser action, introduction to general lasers and their types. Three & four level Lasers, CW & Pulsed Lasers, atomic, ionic, molecular, excimer, liquid and solid state Lasers and systems, short pulse generation and Measurement.

    UNIT-V

    Applications: Laser applications in medicine and surgery, materials processing, optical communication, metrology and LIDAR and holography.

    Books:

    • 1. KR Nambiar, “Laser Principles, Types & Application” New Age International
    • 2. S. A. Ahmad, “Laser concepts and Applications” New Age International

    Space Sciences (JEOE-034):

    UNIT-I

    Introduction: Introduction to space science and applications, historical development

    UNIT-II

    Solar System: Nebular theory of formation of our Solar System, Solar wind and nuclear reaction as the source of energy. Sun and Planets: Brief description about shape size, period of rotation about axis and period of revolution, distance of planets from sun, Bode’s law, Kepler’s Laws of planetary motion, Newton’s deductions from Kepler’s Laws, Newton’s Law of gravitation, correction of Kepler’s third law, determination of mass of earth, determination of mass of planets with respect to earth, Brief description of Asteroids, Satellites and Comets.

    UNIT-III

    Stars: Stellar spectra and structure, stellar evolution, nucleo-synthesis and formation of elements. Classification of stars: Harvard classification system, Hertzsprung-Russel diagram, Luminosity of star, variable stars; composite stars (white dwarfs, Neutron stars, black hole, star clusters, supernova and binary stars); Chandrasekhar limit.

    UNIT-IV

    Galaxies: Galaxies and their evolution and origin, active galaxies and quasars

    UNIT-V

    Creation of Universe: Early history of the universe, Big-Bang and Hubble expansion model of the universe, cosmic microwave background radiation, dark matter and dark energy.

    Books:

    • 1. K.S. Krishnaswami, Astrophysics: A modern Perspective, N A International.
    • 2. K.S. Krishnaswami, Understanding Cosmic Panorama, New Age International.

    Polymer Science and Technology (JEOE-035):

    UNIT-I & II

    POLYMERS: Introduction, chemistry of polymer synthesis, polymer reaction kinetics, physical properties and characterization of polymers, effect of structure on properties of polymers, organic polymers, Introduction to high performance polymers and composites and their processing.

    UNIT-III & IV

    POLYMERIZATION: Introduction, step-growth polymerization, free radical chain growth polymerization, emulsion polymerization, ionic and cationic polymerization, chain statistics and rubber elasticity.

    UNIT-V

    PREPARATION AND APPLICATIONS: Preparation, properties and technical applications of thermo-plastics (PVC, PVA), thermostats (PF, UF) and elastomers (SBR, GR-N), silicones, Application of polymers in space, ocean, electronics, medical, agriculture, automobile, sports and building construction.

    Nuclear Science (JEOE-036):

    UNIT-I

    Nucleus and Its Basic Features: Nuclear structure; nuclear forces and their properties, nuclear stability, nuclear radius and its meassurement, nuclear spin, nuclear magnetic and electrical moments.

    UNIT-II

    Nuclear Models: Single particle model, liquid drop model and semi-emperical mass formula, nuclear potential and shell model, collective model.

    UNIT-III

    Nuclear Reaction: Nuclear reaction and laws of conservation, types of nuclear reaction, mechanism of nuclear reaction, nuclear fission & binuclear fusion and their explanation by liquid drop model.

    UNIT-IV

    Nuclear Decay: Decay constant, half life period and mean life, alpha decay, beta decay, gamma decay, interaction of nuclear radiation with matter, Nuclear Instruments-I Mass spectrograph: General principle, Aston’s Mass Spectrograph.

    UNIT-V

    Nuclear Instruments-II Accelerators: Van de Graph Generator, Cyclotron, Synchrotron. Detectors: G M Counter, Scintillation counter, cloud chamber, Bubble Chamber, production and detection of neutrons and Gamma-photon. Application of Nuclear Techniques: Nuclear magnetic resonance, positron emission topography, radiotracer techniques and applications in material science and agriculture.

    Books:

    • 1. Tayal, “Nuclear Physics” Himalaya Publishing House.
    • 2. S.N. Ghosal, “Nuclear Physics” S. Chand & Co
    • 3. S. B. Patel, “Nuclear Physics: An Introduction New Age International.
    • 4. H. B. Lal, “Introuctory Nucler Physics” United Book Depot.
    • 5. Wang, “Introductory Nuclear Physics”, PHI Learning
    • 6. Roy & Nigam, “Nuclear Physics” John Wiley & sons.
    • 7. W.E. Burcham, “Nuclear Physics” Longmans Publications.
    • 8. Green, “Nuclear Physics” McGraw Hill

    Material Science (JEOE-037):

    UNIT-I

    Introduction: Historical perspective, importance of materials, Brief review of modern & atomic concepts in Physics and Chemistry. Atomic models, Periodic table, Chemical bonding. Crystallography and imperfections: Concept of unit cell, space lattice, Bravais lattices, common crystal structures, Atomic packing factor and density, Miller indices X-ray crystallography techniques, imperfections, Defects & Dislocations in solids.

    UNIT-II

    Mechanical Properties and Testing: Stress strain diagram, Ductile and brittle materials, stress Vs strength, toughness, hardness, fracture, fatigue and creep, Testing, such as Strength testing, Hardness testing, Impact testing, Fatigue testing Creep testing, Non-destructive testing (NDT) Micro Structural Exam: Microscope principle and methods, Preparation of samples and microstructure exam and grain size determination, comparative study of microstructure of various metals and alloys, such as Mild steel, CI, Brass. Phase Diagram and Equilibrium Diagram: Uniary and Binary diagrams, Phase rules, Types of equilibrium diagrams: solid solution type, eutectic type and combination type, Iron-carbon equilibrium diagram.

    UNIT-III

    Ferrous materials: Iron and steel manufacture, furnaces, various types of carbon steels, alloy Steels and cast irons, its properties and uses, Heat Treatment: various types of heat treatment, such as Annealing, Normalizing, Quenching, Tempering and Case hardening. Time Temperature Transformation (TTT) diagrams, Non-Ferrous metals and alloys: Non-ferrous metals, such as Cu, Al, Zn, Cr, Ni etc. and its applications, Various types of Brass, Bronze bearing materials their properties and uses, Aluminum alloys, such as Duralumin, Other advanced materials/alloys.

    UNIT-IV

    Magnetic properties: Concept of magnetism- Dia, para, ferro magnetic materials, Hysteresis, Soft and hard magnetic materials, Magnetic Storages, Electric Properties: Energy band, concept of conductor, insulator and semi conductor, Intrinsic and extrinsic semi-conductors, P-n junction and transistors, Basic devices and their applications, diffusion of Solid Super conductivity and its applications, Messier effect. Type I & II superconductors, High Temp superconductors

    UNIT-V

    Ceramics: Structure, types, properties and applications of ceramics. Mechanical/Electrical behaviour and processing of ceramics, Plastics: Various types of polymers/plastics and their applications, Mechanical behaviour and processing of plastics, Future of plastics, Other Materials: Brief description of other materials, such as optical and thermal materials, concrete, composite materials and their uses, Other Materials: Brief description of other materials, such as optical and thermal materials, concrete, composite materials and their uses, Performance of materials in service: Brief theoretical consideration of fracture, fatigue, and Corrosion and its control

    Books:

    • 1. W.D. Callisster Jr. “Material Science & Engineering Addition” - Wesly Publishing Co.
    • 2. Van Vlash, “Elements of Material Science & Engineering”, John Wiley & Sons
    • 3. V. Raghvan, “Material Science”, Prentice Hall of India
    • 4. Narula, “Material Science”, Tata Mc.Graw Hill
    • 5. Srivastava, Srinivasan, “Science of Materials Engineering” New Age International.

    Discrete Mathematics (JEOE-038):

    UNIT-I

    Set Theory: Definition of Sets, Venn Diagrams, complements, cartesian products, power Sets counting principle, cardinality and countability (Countable and Uncountable sets), Proof of some general identitites on sets, pigeonhole principle, Relation: Definition, types of relation, composition of relations, domain and range of a relation, pictorial representation of relation, properties of relation, partial ordering relation. Function: Definition and types of function, composition of functions, recursively defined functions.

    UNIT-II

    Propositional logic: Proposition logic, basic logic, logical connectives, truth tables, tautologies, contradiction , normal forms(conjunctive and disjunctive), modus ponens and modus tollens, validity, predicate logic, universal and existential quantification, Notion of proof: proof by implication, converse, inverse, contrapositive, negation, and contradiction, direct proof, proof by using truth table, proof by counter example.

    UNIT-III

    Combinatories: Mathematical induction, recursive mathematical definitions, basics of counting, permutations, combinations, inclusion-exclusion, recurrence relations (nth Order recurrence relation with constant coefficients, Homogeneous recurrence relations, Inhomogeneous recurrence relation), generating function (closed form expression, properties Of G.F., solution of recurrence relation using G.F, solution of combinatorial problem using G.F)

    UNIT-IV

    Algebraic Structure: Binary composition and its properties definition of algebraic structure; Groyas Semi group, Monoid Groups, Abelian group, properties of groups, Permutation Groups, Sub Group, Cyclic Group, Rings and Fields (definition and standard results)

    UNIT-V

    Graphs: Graph terminology, types of graph connected graphs, components of graph, Euler graph, Hamiltonian path and circuits, Graph coloring, Chromatic number. Tree: Definition, types of tree (rooted, binary), properties of trees, binary search tree, tree traversing (preorder, inorder, postorder), Finite Automata: Basic concepts of Automation theory, Deterministic finite Automation(DFA), transition function, transition table, Non Deterministic Finite Automata (NDFA), Mealy and Moore Machine, Minimization of finite Automation.

    Books:

    • 1. Kenneth H. Rosen, “Discrete Mathematics and its Applications”, McGraw Hill, 2002
    • 2. J.P. Tremblay & R. Manohar, “Discrete Mathematical Structure with Applications to Computer Science” McGraw Hill.
    • 3. V. Krishnamurthy, “Combinatories: Theory and Applications”, East-West Press.
    • 4. Seymour Lipschutz, M.Lipson, “Discrete Mathematics” Tata McGraw Hill.
    • 5. Kolman, Busby Ross, “Discrete Matheamatical Structures”, Prentice Hall International.

    Engineering Mathematics III (JEAS-301):

    UNIT-I

    Function of Complex variable: Analytic function, C-R equations, Cauchy’s integral theorem, Cauchy’s integral formula for derivatives of analytic function, Taylor’s and Laurent’s series, singularities, Residue theorem, Evaluation of real integrals of the type and

    UNIT-II

    Statistical Techniques – I: Moments, Moment generating functions, Skewness, Kurtosis, Curve fitting, Method of least squares, Fitting of straight lines, Polynomials, Exponential curves etc., Correlation, Linear, non –linear and multiple regression analysis, Probability theory.

    UNIT-III

    Statistical Techniques – II: Binomial, Poisson and Normal distributions, Sampling theory (small and large), Tests of significations: Chi-square test, t-test, Analysis of variance (one way), Application to engineering, medicine, agriculture etc.Time series and forecasting (moving and semi-averages), Statistical quality control methods, Control charts, X , R, p, np, and c charts.

    UNIT-IV

    Numerical Techniques – I: Zeroes of transcendental and polynomial equation using Bisection method, Regula-falsi method and Newton-Raphson method, Rate of convergence of above methods.Interpolation: Finite differences, difference tables, Newton’s forward and backward interpolation, Lagrange’s and Newton’s divided difference formula for unequal intervals.

    UNIT-V

    Numerical Techniques –II: Solution of system of linear equations, Gauss- Seidal method, Crout method. Numerical differentiation, Numerical integration , Trapezoidal , Simpson’s one third and three-eight rules, Solution of ordinary differential (first order, second order and simultaneous) equations by Euler’s, Picard’s and forth-order Runge- Kutta mehthods.

    Books:

    • 1. Peter V. O’Neil, Advance Engineering Mathematics Thomson (Cengage) Learning.
    • 2. Jain, Iyenger & Jain, Numerical Methods for Scientific and Engineering Computation, New Age International, New Delhi, 2003.
    • 3. J.N. Kapur, Mathematical Statistics, S. Chand & company Ltd.
    • 4. R.K. Jain & S.R.K. Iyenger, Advance Engineering Mathematics, Narosa Publication House, 2002.
    • 5. Chandrika Prasad, Advanced Mathematics for Engineers, Prasad Mudralaya.
    • 6. E. Kreysig, Advanced Engineering Mathematics, John Wiley & Sons, 2005.
    • 7. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 2005.
    • 8. Devi Prasad, An introduction to Numerical Analysis, Narosa Pub. House, ND.
    04
  • JECE-305

    Strength of Material:

    UNIT-I

    Compound stress & strain: Introduction, state of plane stress, principal stress & strain, Mohr’s stress circle.
    3-D stress, Theory of failure, Castigliano’s Theorem, Impact Load: 3-D state of stress & strain, equilibrium equation, generalised hook’s law, theory of failure, castigliano’s theorem, Impact load and stresses.

    UNIT-II

    Stresses in Beam: Review of pure bending, direct & shear stresses in beams due to transverse and axial load, composite beams.
    Deflection in Beams: Equation of elastic curve, cantilever and simply supported beam, Maculay’s method, Area-moment method, fixed and continuous beam.Torsion: Review of torsion, combined bending & torsion of solid & hollow shaft.

    UNIT-III

    Helical & Leaf Springs: Deflection of springs by energy method, helical spring under axial loads and under axial twist, axial load and twisting moment acting simultaneously both for open and closed coil springs.
    Column & struts: Combined bending and direct stress, middle third middle quarter rules, struts with different end conditions, Euler’s theory and experiments results, Rankine’s Gardon formulae, Example of column in mechanical equipments and machines.

    UNIT-IV

    Thin Cylinder and Sphere: Hoop and axial stresses and strain, Volumetric strain. Thick Cylinder: Radial, axial and circumferential stresses in thick cylinder subjected to internal or external pressures, compound cylinder, stress in rotating shaft and cylinders, stresses due to interference slits.

    UNIT-V

    Curved Beams: Bending of beams with large initial curvature, position of neutral axis for rectangular, trapezoidal, and Circular cross section, stress in crane hook’s, stress in circular rings subjected to tension or compression.
    Unsymmetrical Bending: Properties of beam cross-section, slope of neutral axis, stress and deflection in unsymmetrical bending, determination of shear centre, and flexural axis for I-section and channel section.

    Books:

    • 1. Strength of Material by R.K. Rajpoot.
    • 2. Strength of Material by B.C. Punmia.
    • 3. Mechanics of Material by Patel.
    04
  • JECE-351

    Fluid Mechanics Lab:

    • 1. To measure the surface tension of a liquid.
    • 2. To determine the metacentric height of a ship model experimentally.
    • 3. To study the transition from laminar to turbulent flow and to determine the lower critical Reynolds number.
    • 4. To determine the coefficients of velocity, contraction and discharge of an orifice (or a mouth piece) of a given shape. To plot the flow net for a given model using the concept of electrical analogy.
    • 5. To find the velocity distribution in a pipe and hence to compute the discharge by integrating the velocity profile obtained.
    • 6. To verify the Bernoulli’s theorem.
    • 7. To calibrate an orifice meter and venturimeter and to study the variation of the coefficient of discharge with the Reynolds number.
    • 8. To calibrate and to determine the coefficient of discharge for rectangular and triangular notches.
    • 9. To verify Darcy’s law and to find out the coefficient of permeability of the given medium.
    • 10. To verify the momentum equation.
    • 11. To study the boundary layer velocity profile and to determine boundary layer thickness and displacement thickness. Also to determine the exponent in the power law of velocity distribution.
    • 12. To study the variation of friction factor, ‘f’ for turbulent flow in smooth and rough commercial pipes.
    • 13. To determine the loss coefficients for the various pipe fittings.
    • 14. To study the flow behaviour in a pipe bend and to calibrate the pipe bends for discharge measurement.
    02
  • JECE-352

    Surveying Lab:

    • 1. Visit to Lab. For the study of:
    • 2. To study instruments used in chain surveying and to measure distance between two points by ranging.
      • a) Maps from -survey of India publication.
      • b) Conventional Symbol Charts and Different types of maps.
    • 3. To determine the bearing of sides of a given traverse using Prismatic Compass, and plotting of the traverse.
    • 4. To plot details using radiation and intersection methods in plane tabling.
    • 5. To solve two point/ three point problem in plane tabling.
    • 6. To find out the reduced levels of given points using level. (Reduction by Height of Collimation method and Rise and Fall Method).
    • 7. To determine and draw the longitudinal and cross-section profiles along a given route.
    • 8. Practice for temporary adjustments of a Vernier Theodolite and taking Horizontal and Vertical angular measurements, by Reiteration method.
    • 9. Measurement of horizontal angles by Repetition method.
    • 10. Determination of the Tacheometric constants of a given theodilite.
    02
  • JECE-353

    Building Material & Construction Lab:

    Testing of various properties of following as per BIS specifications:


    • A. Cement
      • 1. Normal Consistency of cement.
      • 2. Initial & final setting time of cement
      • 3. Compressive strength of cement
      • 4. Fineness of cement by air permeability and Le-chatalier’s apparatus.
      • 5. Soundness of cement.
      • 6. Tensile strength
    • B. Coarse Aggregate
      • 1. Crushing value of aggregate
      • 2. Impact value of aggregate
      • 3. Water absorption of aggregate
      • 4. Sieve Analysis of Aggregate
      • 5. Specific gravity & bulk density
      • 6. Grading of aggregates.
    • C. Fine Aggregate :
      • 1. Sieve analysis of sand
      • 2. Silt content of sand
      • 3. Bulking of sand
    • D. Cement Concrete: Workability tests, compressive strength, Tensile strength
    • E. Reinforcing Steel :Tensile and yield strength, Percentage elongation
    • F. Non destructive testing on concrete
    • G. Bricks:
      • 1. Water absorption.
      • 2. Dimension Tolerances
      • 3. Compressive strength
      • 4. Efflorescence
    02
  • JECE-354

    Building Planning & Drawing Lab:

    • 1. Symbols used in Civil Engineering drawing, Masoury Bonds
    • 2. Doors, Windows and staircases
    • 3. Plumbing & Electrical fitting drawing.
    • 4. Drafting Using AutoCAD.
    • 5. Comprehensive Drawing of Residential building, (Layout, plan, elevation & sectional elevation)
    • 6. Preparation of Layout planning for different Civil Engg. Projects.
    • 7. Preparation of lay out plan/Maps and building drawing using computer.
    02
  • JGP-301

    General Proficiency
    02
  • Total Credits
     
    30