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ENGINEERING MATHEMATICS ­ IV

Sub code : MAT -41 Hours/week: 4 Total Hours: 52

Exam Marks: 100 IA Marks: 25 Exam Hours: 3

PART ­ A 1. Complex Variables : Functions of complex variables, Limit, continuity and differentiability (definitions only), Analytic functions, Cauchy-Reimann equations in Cartesian and Polar forms-Consequences, construction of analytic function (Cartesian and polar forms), Definition of Conformal transformations : Z2,ez and Z + a2 / Z ( z#0 ) , Bilinear transformations.

2. Complex Integrations : Line integral, Cauchy's theoremcorollaries, Cauchy's integral formula. Taylor's and Laurent's series (statements only), Singularities, Poles, calculation of Residues, Residue theorem (without proof)-problems. 14 Hours . PART ­ B 1. Special Functions : Series solution of Bessel's differential equation, recurrence formulae, Generating function, orthogonal property, Bessel's integral formula. Series solution of Legendre's differential equation, Recurrence formulae, Generating function, orthogonal property, Rodrigue's formula 14 Hours .

PART ­ C 1. Statistics & Probability : Curve fitting by the method of least squares: y = a+ bx, y = abx , y=a+bx +cx2.Correlation and Regression. Probability-addition rule, conditional probability Multiplication rule , Bayes" rule . Discrete and continuous random variables-PDF-CDF, Binomial, Poisson, Exponential and Normal distributions. 12 Hours . PART ­ D 1. Sampling distribution : Sampling, Sampling distribution, Standard error, Null and alternate hypotheses, Type I and Type II errors, Testing of hypothesis for Means, Level of Significance for Means, Confidence limits for Means, large and small samples, Student's t-distribution. 2. Joint Probability Distribution and Markov Chains : Concept of joint probability, joint distributions- discrete random variables, Independent random variables, Problems on expectation and variance. Markov chains-Introduction, Probability vectors, Stochastic Matrices. Fixed Points and regular stochastic Matrices , Markov chains , Higher transition probabilities , stationary distribution of regular Markov chains and absorbing states. 14 Hours . Text Books : Higher Engineering Mathematics ( 36th edition ­ 2002 ) By Dr. B.S. Grewal, Khanna publishers, New Delhi.

PART ­ A : Complex Variables : Chapter 20 : 20.1 to 20.6, 20.8( 4 ) , 20.9 ( 1) , 20.10 ( 1 to 3 ) 20.12 , to 20.14,20.16 ( 2,3 ) 20.17 to 20.19 PART ­ B : Special Functions : Chapter 16 :16.6 to 16.9 , 16.11 , 16.13 , to 16.17 PART ­ C : Statistics and Probability: Chapter 1:1.13,1.14 Chapter 23:23.9,23.10,23.14,23.16 to 23.21 PART ­ D : Sampling Distributions : Chapter 23:23.31 to 23.33 , 23.34 , to 23.36 Joint Probability distributions and Markov Chains : Text Books : Theory and Problems of Probability by Seymour Lipschutz (Schaum Series) - Relevant articles of Chapter 5 and Chapter 7. Reference Books :Advanced Engineering Mathematics by E.Kreyszing ( John Wiley & Sons ) PART ­A Functions of Complex Variable ­ Bilinear transformation Complex integration Bessel's Differential Equation Legendre's Differential Equation Curve fitting ­ Bayes'rule Random Variables ­ End Sampling Distributions Jont Probability distributions ­ End One Question

PART ­ B

One Question One Question

PART ­C

One Question One Question One Question One Question

PART ­ D

Note : Eight questions to be set, out of which five full questions to be answered , choosing at least one questions from each part.

APPLIED THERMODYNAMICS ( Comon to ME / IP / AU / IM / MA )

Sub code : ME -43 Hours/week: 4 Total Hours: 52 Exam Marks: 100 IA Marks: 25 Exam Hours: 3

1. Availability and Irreversibility : Maximum work, maximum useful work for a system and a control volume, availability of a system and a steadily flowing stream, irreversibility. Second law efficiency. 06 HOURS . 2. Combustion Thermodynamics : Theoritical (Stoichiometric)air for combustion of fuels. Excess air, mass balance, actual combustion. Exhaust gas analysis, A/F ratio. Energy balance for a chemical reaction, enthalpy of formation, enthalpy and internal energy of combustion. Combustion efficiency. 07 HOURS . 3. Gas Power Cycles :Air standard cycles; Carnot cycle, Otto, Diesel, Dual and Stirling Cycles, p-v and T-s diagrams, descriptions, efficiency and mean effective pressure. Comparison of Otto and Diesel cycles, Gas turbine (Brayton)cycle; description and analysis. Regenerative gas turbine cycle. Inter-cooling and reheating in gas turbine cycles. 08 HOURS . 4. Vapour Power Cycles : Carnot vapour power cycle, drawbacks as a reference cycle, Simple Rankine Cycle; description, T-s diagram, analysis for performance. Comparison of Carnot and Rankine cycles. Effects of pressure and temperature on Rankine cycle performance. Actual vapour cycles. Ideal and practical regenerative Rankine cycles, open and closed feed water heaters. Reheat Rankine cycle. 08 HOURS . 5. Reciprocating Compressors : Operation of a single stage reciprocating compressors. Work input through p-v diagram and steady state steady flow analysis. Effect of clearance and volumetric efficiency. Adiabatic, isothermal and mechanical efficiency. Multi-

stage compressor, saving in work, optimum intermediate pressure, inter-cooling, minimum work for compression. 06 HOURS . 6. Refrigeration : Vapour Compression refrigeration system; description, analysis, refrigerating effect, capacity, power required units of refrigeration, COP. Refrigerants and their desirable properties, Air cycle refrigeration; reversed Carnot cycle, reversed Brayton cycle. Vapour absorption refrigeration. Steam jet refrigeration. 06 HOURS . 7. Psychometrics ; Atmospheric air and psychometric properties; Dry bulb temperature, wet bulb temperature, dew point temperature; partial pressures, specific and relative humidity's and the relation between the two. Enthalpy and adiabatic saturation temperature. Construction and use of pschrometric chart. Analysis of various processes; heating, cooling, dehumidifying and humidifying. Adiabatic mixing of stream of moist air. Summer and winter airconditioning. 06 HOURS .

8. I.C. Engines : Testing of two stroke and four stroke SI and CI engineers for performance, related numerical problems, heat balance sheet, Morse test . 05 HOURS . Text Books . 1) Basic and Applied Thermodynamics by P.K. Nag, Tata McGraw Hill Pub. 2002. 2) Thermodynamics - An Engineering Approach - Yunus A.Cenegal and Michael A Boles Tata McGraw Hill Publications, 2002.

Reference Books : 1) Engineering Thermodynamics by J.B.Jones and G.A.Hawkins, John Wiley and Sons. 2) Fundamentals of Classical Thermodynamics by G.J.Van Wylen and R.E Sonntag, Wiley Eastern. 3) Thermodynamics by C.P.Arora, Tata McGraw Hill Pub. Co., 1998. 4) Internal Combustion Engineering by M.L.Mathur and R.P.Sharms, Dhanpat Rai Pub., 2000. 5) Applied Thermodynamics by R.K.Hegde and Niranjan Muthry, Swapna Book House,2002. 6) Applied Thermodynamics by T.D.Eastop & A.Mcconkey, Pearson Education Asia, 2002. 7) Thermal Engineering by S.K.Khulaseshtha, 2nd Edi., Vikas Pub. House Pvt Ltd, 2002. 8) Applications of Thermodynamics by Bernard D.Wood, Addison Wesley, 2nd Ed. 1974. Scheme of Examination : Chapter number : 12345678 Questions to be set : 1 11 1 1 1 1 1 Answer any FIVE questions out of EIGHT questions .

KINEMATICS OF MACHINES ( Comon to ME / IP / AU / IM / MA )

Sub code : ME -44 Hours/week: 4 Total Hours: 52 Exam Marks: 100 IA Marks: 25 Exam Hours: 3

1. Introduction : I.1 Definitions : Link or element, pairing of elements with degrees of freedom, Grubler's criterion (without derivation), Kinematics chain, Mechanism, Mobility of Mechanism, Inversions, Machine. 02 HOURS . 1.2 Kinematics Chains And Inversions : Kinematics chain with three lower pairs, Four bar chain, Single slider crank chain & double slider crank chain and their inversions. 04 HOURS . 1.3 Mechanisms : (i) Quick return motion mechanisms-Drag link mechanism, whitworth mechanism and crank & slotted lever mechanism. (ii) Straight line motion mechanisms-Peacellier's mechanism and Robert's mechanism. (iii) Intermittent motion mechanisms-Geneva mechanism and Ratchet & Pawl mechanism. (iv) Toggle mechanism, Pantograph, Hooke's joint, and Ackerman steering gear mechanism. 07 HOURS . 2. Velocity and Acceleration Analysis of Mechanisms (Graphical Methods): 2.1 Velocity and acceleration analysis by vector polygons : Relative velocity and accelerations of particles in a common link, relative velocity and accelerations of coincident

particles on separate links, Coriolis component of acceleration. 08 HOURS . 2.2 Velocity analysis by Instantaneous Centre method : Definitions, Kennedy's Theorem, Determination of velocity using instantaneous center method. 03 HOURS . (Complex mechanisms are not included in 2.1 and 2.2). 2.3 Analysis of velocity & acceleration of single slider crank mechanism by using Klein's construction . 02 HOURS . 3. Velocity and Acceleration Analysis by Complex Numbers : Analysis of single slider crank mechanism and four bar mechanism by loop closure equations and complex numbers. 04 HOURS . 4. Spur Gears : Law of gearing, Involutometry, Definitions, Characteristics of involute action, Path of contact, Arc of contact, Contact ratio, Interference in involute gears, Methods of avoiding interference, Back lash, Comparison of involute and cycloidal teeth. 08 HOURS . 5. Gear Trains : Simple gear trains, compound gear trains for large speed reductions, Epicyclic gear trains, Algebraic and tabular methods of finding velocity ratio of epicyclic gear trains, Tooth load and torque calculations in epicyclic gear trains. Differential mechanism of all automobile. 06 HOURS . 6. Cams : Types of cams, types of followers, displacement, velocity and acceleration time curves for cam profiles, Disc cam with reciprocating follower having knife-edge, roller and flat faced follower, Disc cam with oscillating roller follower, Follower motions, including SHM uniform velocity, uniform acceleration & retardation and cycloidal motion

08 HOURS .

Text Books : 1) Theory of Machines by Rattan S.S., Tat McGraw Hill Publishing Company Ltd., New Delhi, 1993. 2) Theory of Machines by Sadhu Singh, Pearson Education (Singapore) Pte. Ltd., Indian Branch, New Delhi, 2002. References Books : 1) Mechanisms and Dynamics of Machinery by Mabie, H.H and Reinholtz C.F., 4th Edition, John Wiley &Sons, New York, 1987. 2) The Theory of Machines by Bevan.T., CBS Publishers and Distributors, New Delhi, 1984. 3) Mechanism and Machine Theory by Rao, J.S., and Dukkipati R.V., 2nd Edition, New Age International (P) Ltd, Publishers, New Delhi, 1992. 4) Theory of Mechanics I by A.S Ravindra, Sudha Publications, Bangalore. 5) Theory of Mechanisms and Machine by Ghosh, A. and Mallik, A.,. 3rd edition, Affiliated East-West Press Pvt, Ltd, New Delhi, 1998. 6) Theory of Machines & Mechanisms by Shigley, J.V. and Uicker, J.J. 2nd edition, McGraw Hill International, 1995. Scheme of Examination : Suggested Question paper Pattern . Chapter Number ; 1 2 2 2 3 1 4 1 5 1 6 1

Answer any FIVE out of EIGHT questions :

FLUID MECHANICS ( Comon to ME / IP / AU / IM / MA )

Sub code : ME 45 Hours/week: 4 Total Hours: 52 Exam Marks: 100 IA Marks: 25 Exam Hours: 3

1) Properties Of Fluids : Introductory concepts and definitions, properties of fluids, classification of fluids, and regimes of flow. 06 HOURS . 2) Fluid Statistics : Pascal's law of pressure, pressure variation in a static fluid, manometers, hydrostatic force on submerged plane surfaces and curved surfaces, Buoyancy and stability criteria. 08 HOURS . 3) Fluid Kinematics : Fluid flow concepts, lines of flow, types of function & velocity potential function for 2-D flow, Relationship between them and flow nets. 06 HOURS . 4) Dimensional Analysis : Dimensions of physical quantities, dimensional homogeneity-Buckingham's p theorem, the Raleigh's method. Important dimensionless numbers similitude. 05 HOURS . 5) Fluid Dynamics : General energy and momentum equations. Euler's equation of motion along a stream line, Bernoulli's equation derived from Fundamentals & Euler's equation. Bernoulli's equation for real fluids. 05 HOURS . 6) Fluid Flow Measurements : Venturimeter, orifice meter, pitot tube and V-notch. 04 HOURS .

7) Flow Through Pipes : Friction loss in pipe flow ­ minor losses in pipe flow ­ Energy line and hydraulic gradient line. Darcy and Chezy equations. 05 HOURS . 8) Laminar Flow And Viscous Effects : Reynold's number critical Reynold's number. Laminar flow through a round pipe ­ Hagen poisuille's equation. Laminar flow between parallel stationery plates. 05 HOURS . 9) Flow Past Immersed Bodies : Lift and drag skin friction and form drag, Boundary layer concept, calculation of laminar boundary layers thickness, displacement & momentum thickness. 05 HOURS . 10) Introduction To Compressible Flow : Sonic velocity. Mach number, isentropic flow, speed of sound wave. 03 HOURS . Text Books : 1) Fluid Mechanics by Streeter-McGraw Hill, 7th ed., 1979. 2) Fluid Mechanics and Hydraulics by Dr, Jagadishlal, Metropolitan Book Company, Pvt, Ltd, New Delhi.1995 Reference Books : 1) A Text Book of Fluid Mechanics and Hydraulic Machines by Dr.R.K.BansalLaxmi Publication (P) Lts, New Delhi, 2000. 2) Fluid Mechanics by Agarwal, Tata McGraw Hill Edition. 3) Fluid Mechanics by Binder, Prentice Hall of India (P) Lts.,ed, 1964. 4) Engineering Fluid Mechanics (S.I.Units) by K.L.Kumar, Eurosia Publishing House (P)Ltd,Edition, 1992. 5) Engineering / Fluid Mechanics by Dr.R.J.Garde and Dr.A.J. Mirojgoaker, Scitech Publications (India), Chennai, 2003. 6) Introduction to Fluid Mechanics and Machinery by Som and Biswas, 2ndEdition, Tata McGraw Hill, 2003. 7) Fluid Mechanics by John F. Douglas, Janual and M.Gasiosek and John.A.Swaffied, Pearson Education Asia, 4th ed., 2002. 8) Fluid Mechanics by White , 5th ed., Tata McGraw Hill, 2003.

Scheme of Examination : Chapter 1 Number Questions 1 To be set 2 2 3 1 4 ½ 5 ½ 6 ½ 7 ½ 8 ½ 9 1 10 1/2

Answer any FIVE questions out of EIGHT questions .

DESIGN OF MACHINE ELEMENTS - I ( Comon to ME / IP / AU / IM / MA )

Sub code : AU46 Hours/week: 4 Total Hours: 52 Exam Marks: 100 IA Marks: 25 Exam Hours: 3

1) Introduction : Materials and their properties; design considerations; codes and standards; stress-strain diagrams, stress analysis definition-normal, shear, biaxial and triaxial; stress tensor, Principal stresses. 05 HOURS . 2) Design for Static Strength : Static Strength, Static loads and factor of safety; Theories of failure-Maximum normal stress theory, maximum shear stress theory, Distortion energy theory, Failure of brittle materials, Failure of ductile materials. Stress concentration, Determination of Stress concentration factor, Combined Stress concentration factor. 05 HOURS . 3) Design For Fatigue Strength ; Introduction, S-N diagram, low cycle fatigue, high cycle fatigue, Endurance limit. Modifying factors-size effect, surface effect, Stress concentration effects; Fluctuating stresses, Fatigue strength under fluctuating stresses, Goodman and soderberg relationship. Stresses due to combined 05 HOURS . loading, cumulative fatigue damage .

4) Impact loading ; Derivation of instantaneous stress due to axial, bending and torsion loading, effect of inertia. 02 HOURS . 5) Design Of Shafts ; Torsion of shafts, design for strength & rigidity, with steady loading, ASME & BIS codes for design of transmission shafting, shafts under fluctuating loads and combined loads, design of rigid flange coupling & bushed pin type flexible coupling. 10 HOURS . 6) Fasteners : Key Types, Stresses in keys, pins and Retainers. Threaded Fasteners- Stresses, Effects of initial tension, effect of compression, Effect of fatigue loading, impact loading, shear loading and eccentric loading. 06 HOURS . 7) Power Screws: Mechanics of power screw, Stresses in power screws, Efficiency and self locking. 04 HOURS . 8) Mechanical Joints: Cotter and Knuckle Joints, Riveted JointsTypes, rivet materials, Failures of Riveted joints, Efficiency, Boiler joints, Tank and Structural joints, riveted brackets. Welded joints-Types strength of butt and fillet welds, Eccentrically loaded welds. 15 HOURS . Text Books : 1) Mechanical Engineering Design - Joseph Edward Shingley, Tat McGraw Hill, New Delhi 1986. 2) Machine Design - V.L. Maleev and Hartman, CBS Publishers & Distribution, Delhi, 1983. Design Data Hand Books : 1. Design Data Hand Book,K.Mahadevan and Balaveera Reddy,CBS Publication. 2. design Data Hand book Vol.1 & Vol.2 ­ Dr .K.Lingaiah,Suma publications, Bangalore.

3. Design Data Hand Book ­ prof.H.G.Patil,Shri Shastri prakashan,Belgaum. Reference Books : 1) Machine Design - Robert.L. , Norton - Pearson Education Asia, New Delhi.2001. 2) Theory and Problems of Machine Design, Hall, Holowinko, Laughlin - Schaums outline Series, 2002. 3) Elements of Machine Design - N.cPandey and C.S. Shah, 2002 Chorotar Publishing House, Anand (Gujarat),India. 4) Design of Machine Elements - V.B.Bhandari, - Tata McGraw Hill Publishing Co. Pvt, Ltd, New Delhi. 5) Machine Component & Design - William Orthwan, Jaico Publishing Co. 6) Fundamentals of Design - Bernard J Hamrock, Bo - Jacobson & Steven R.Schmid. 7) Fundamentals of Machine Design Component ­ Robert C.Juvinall and Kurt M.Marshek - John & Sons, 2002. 8) Machine Design - R.K.Jain, Khanna Publications Publications, New Delhi. Scheme of Examination : Chapter Number Questions To be set 1 ½ 2 1 3 1 4 ½ 5 2 6 ½ 7 ½ 8

Answer any FIVE questions out of EIGHT questions .

MATERIALS TESTING LABORATORY ( Common to ME / IP / AU / IM / MA ) Sub code : MEL37/MEL47 Hours/week: 3 Total Hours: 42 PART ­ A 1. Preparation of specimen for metallographic examination of engineering materials and study the microstructure of plain carbon steel, tool steel, gray C.I, S.G, iron, Brass, Bronze. 2. Heat Treatment: Annealing normalized hardening and tempering of steel & to study their Rock-well hardness. (Demonstration only) 3. Conducting of tensile, shear, compression, torsion and bending tests of a Mild Steel specimen using a Universal Testing Machine . 4. Conduction of lzode & Charpy tests on Mild Steel Specimen . 5. Experiment on Wear study. 6. Brinell, Rockwell and Vickers's Hardness tests. 7. Fatigue Test ­ ( demonstration only ) 8. Non destructive test experiments (a) Ultrasonic flaw detector, (b) Magnetic crack detector, (c) Dye penetrant testing. Scheme of Examination : ONE question from part ­ A : (identification only) ONE question from part ­ B : Viva ­ Voce : Exam Marks: 50 IA Marks: 25 Exam Hours: 3

10 Marks . 30 Marks . 10 Marks

MECHANICAL MEASUREMENTS AND METROLOGY LABORATORY ( Common to ME / IP / AU / IM / MA ) Sub code : MEL38/MEL38 Hours/week: 3 Total Hours: 42 Exam Marks: 50 IA Marks: 25 Exam Hours: 3

PART ­ A : Mechanical Measurement 1. 2. 3. 4. 5. Calibration of Pressure Gauge, Calibration of Thermocouple, Calibration of LVDT, Calibration of Load cell, Determination of modulus of elasticity of a mild steel specimen using strain gauges. PART ­ B : Metrology (6) Measurement using optical projector / Tool makers microscope. (7) Measurement by Angle by using sine bar/ sine center / bevel protractor (8) Measurement of alignment using Autocollimator / roller set. (9) Measurement of cutting tool forces using (a) Lathe tool Dynamometerb) Drill tool Dynamometer . (10) Measurements of Screw thread Parameters using two wire or three wire method . (11) Measurements of Surface roughness using Talysurf / mechanical Comparator (12) Measurements of gear tooth profile using gear tooth vernier/gear tooth vernier / gear tooth micrometer . (13) Calibration of a micrometer using slip gauges (14) measurement using Optical Flats Scheme of Examination : ONE question from metrology ( part ­ A ) : ONE question from Instrumentation ( part ­ B ) : Viva ­ Voce : 20 Marks 20 Marks 10 Marks

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