Academic Year 2015-16 III Semester B.E.mcehassan.ac.in/.../files/Academic_year_2015-16_III__IV_Syllabi.pdfUnit 7 Matrix algebra, Consistency of non homogeneous system of equations

1

Scheme & Syllabus for III and IV semesters

B.E. – Mechanical Engineering

Academic Year 2015-16

III Semester B.E.

Sl. No. Subject Code Subject Credits

L T P C

1. MA301 Engineering Mathematics- III 4 0 0 4.0

2. ME302 Strength of Materials 3 1 0 4.0

3. ME303 Fluid Mechanics 3 1 0 4.0

4. ME304 Physical & Mechanical Metallurgy 4 0 0 4.0

5. ME305 Basic Thermodynamics 3 1 0 4.0

6. ME306 Kinematics of Machinery 3 1 0 4.0

7. ME307 Workshop Practice 0 0 2 1.0

8. HS003 Communication Skills - I 1 0 0 1.0

Total Credits 26.0

IV Semester B.E.

Sl. No. Subject Code Subject Credits

L T P C

1. MA401 Engineering Mathematics- IV 4 0 0 4.0

2. ME402 Manufacturing Science – I 4 0 0 4.0

3. ME403 Turbo machines 3 1 0 4.0

4. ME404 Applied Thermodynamics 3 1 0 4.0

5. ME405 Dynamics of Machinery 3 1 0 4.0

6. ME406 Machine Drawing 1 0 4 3.0

7. ME407 Foundry and Forging Laboratory 0 0 3 1.5

8. ME408 Material Testing Laboratory 0 0 2 1.0

9. ME409 Fluid Mechanics & Machines, and Fuels Laboratory 0 0 3 1.5

Total Credits 27.0

2

Engineering Mathematics – III

(Common to all Branches)

ME 301 LTPC: 4-0-0-4

Exam Hours : 3 Hours / Week : 04

SEE : 50 Marks

Total hours : 52

Course Outcomes (COs) In Engineering Mathematics

(i) Developing creative thinking through the understanding of fundamental theory of

mathematics.

(ii) Adapting the analytical skills and techniques for problem solving.

(iii) A classical approach to solve engineering related problems, highlighting the

applications through logical techniques.

PART A

Unit 1 Fourier series: Periodic functions, representation of a periodic function as a

Fourier series using Euler’s Formulae. Fourier series of an even & an odd

function. Half-range Fourier series and practical harmonic analysis-illustrative

examples. Graphs of Fourier series. 07Hrs.

Unit 2 Fourier Transforms and Inverse Fourier transforms: – properties of Fourier

transform, Evaluation of Complex Fourier, Fourier sine & Fourier cosine

transforms. Inverse complex Fourier, Inverse sine & Cosine transforms.

Applications of transforms to boundary value problems. 07Hrs.

PART B

Unit 3 Z-Transforms: Definition, standard forms, Linearity property, damping rule,

shifting rule – Problems. Inverse Z transforms. Solution of Difference equations

using Z Transforms. 06Hrs.

Unit 4 Numerical Techniques: Solution of algebraic & Transcendental equations by (i)

Bisection method, (ii) Newton Raphson method.,(iii) Regula falsi method.

Solution of non – linear system of equations by using Newton Raphson method. 06Hrs.

PART C

Unit 5 Numerical Interpolation / Extrapolation: Finite differences - Forward,

backward & Central differences. Interpolation by Newton’s Interpolation

formula (both forward & backward), Stirling & Bessel’s interpolation formula for

central interpolation. Lagrange’s & Newton’s divided differences formula for un-

equal intervals. Some application oriented engineering problems. 07Hrs.

Unit 6 Numerical Integration: General quadrature formula with proof and deduction

of trapezoidal rule, Simpsons 1/3rd rule, weddles rule and illustrative examples.

Gaussian quadrature 3 point formula. 06Hrs.

PART D

Unit 7 Matrix algebra, Consistency of non homogeneous system of equations using the

rank concept,( using elementary row operation), Solution of the system of linear

equations by Gauss elimination method, Gauss – Seidel iterative method.

Solution of system of homogeneous equations, Finding Eigen values and Eigen

vectors of matrices. Physical significance of Eigen values and Eigen vectors in

Engineering.

06Hrs.

3

Unit 8 Numerical solution of ordinary differential equations. Computation of solution by

using the following single step methods: Taylor series method, Picard’s method

of successive approximation, Runge-Kutta method of fourth order., Solution of

first order simultaneous differential equations by R.K. method of fourth order .

Predictor and corrector methods (Adams Bashforth method). 07Hrs.

Text Book:

Dr. B. S. Grewal, Higher Engineering Mathematics, Khanna Publications, 40th edition (2007)

Reference Books:

1. Erwin Kreyezig, Advanced Engineering Mathematics, Tata McGraw Hill Publications, 8th

edition (2007)

2. S. C. Chapra and R. Canale, Numerical Analysis for Engineers, Tata McGraw Hill

Publications, 5th edition (2005)

3. Numerical methods for Scientific and Engineering computation by M.K. Jain, SRK Iyengar,

R.K. Jain, 5th edition, New age International Publishers.

4

STRENGTH OF MATERIALS

ME 302 LTPC: 3-1-0-4


SEE : 50 Marks Total hours : 52

Course Objective:

To provide knowledge on basic stress and strains analysis, deflections under uniaxial and

biaxial conditions of load in structures and machine component

Course Outcomes (COs) {with mapping shown against the Program Outcomes (POs))

Upon completion of the course, students shall be able to:

1) Understand the concepts and principles of stress analysis on members

subjected to uniaxial and biaxial conditions of load 1, 3. 5

2) Draw Shear force and Bending moment diagrams for simple beams 1, 3. 5

3) Draw deflection curves for simple beams 1, 3. 5

4) Design columns and pressure vessels for strength 1, 3. 5

COURSE CONTENTS:

PART – A

Unit – 1 Simple Stress and Strain: Introduction. Properties of material, Concept of Stress and

Strain, Hook's Law, Stress Strain Diagram for structural steel and Non-ferrous materials.

Poisson’s Ratio & principles of superposition, Total elongation of tapering bars of circular and

rectangular cross-sections. Elongation due to self-weight, Problems on deformations of

member, 07 Hrs.

Unit –2 Simple Stress & Strain – (Continued) Composite section, Volumetric strain.

Expression for Volumetric strain, Elastic constants, relationship among elastic constants,

Thermal stresses including compound bars.

06 Hrs.

PART – B

Unit – 3 Bending Moment and Shear Force in Beams: Introduction, Types of beams loadings

and supports. Shearing force in beam. Bending moment, Sign convention. Relationship between

loading shear force and bending moment. Expression for shear and bending moment equations,

SFD and BMD with salient values for cantilever beams considering point load, UDL, UVL and

Couple. SFD and BMD with salient values for simply supported and over hanging beams

considering point load, UDL, UVL and Couple. 07Hrs

Unit – 4 Bending Stress and Shear Stress in Beams: Introduction, Bending stress in

beam. Assumptions in simple bending theory. Pure bending derivation of Flexure

equation. Modulus of rupture, Section modulus, Flexural rigidity.

Assumptions in theory of shear stresses in beams, Expression for horizontal shear stress in

beam, Shear stress diagram for solid rectangular section and circular section. 07 Hrs.

5

PART – C

Unit –5 Deflection of Beams: Introduction, Definitions of slope, deflection. Elastic curve-

derivation of differential equation of deflection curve. Sign convention, slope and deflection

standard loading using Macaulay’s method, Problems on simply supported and overhanging

beams to point load, UDL & Couple 06 Hrs.

Unit – 7 Torsion of Circular Shafts: Introduction. Pure torsion-torsion equation of circular

shaft. Strength and stiffness, Torsional rigidity, Torsional flexibility and polar modulus. Power

transmitted by solid shaft. Power transmitted by hollow shaft. 05 Hrs.

PART D

Unit – 7 Thin and Thick Cylinders: Introduction. Thin and thick cylinders subjected to

pressure. Hoop stresses and longitudinal stresses. Problems on change in length, diameter and

volume. Lame’s equations. Problems on thick cylinder. Elastic stability of columns:

Introduction. Euler's theory on columns. Effective length, slenderness ratio. Short and long

columns, Radius of gyration, Buckling load. Assumptions, derivations of Euler's Buckling load

for different end conditions. Limitations of Euler's theory, Rankine's formula, related problems.

07 Hrs.

Unit –8 Compound Stresses: Introduction. Stress components on inclined planes. General

two-dimensional stress system, Principal planes and stresses, Problems on principle plane

stresses. Mohr's circle of stresses. 07 Hrs.

Text Books:

1. James G.Gere, Mechanics of Materials, 5th Edition, 2004.Thomson Publishers. ISBN-

0534417930

2. S.Ramamrutham , R.Narayanan, Strength of Materials, Dhanphatrai publishing

Co.Ltd.2003.ISBN-818743354X, 978818743354

Reference Books:

1. Egor.P. Popov, Engineering Mechanics of solids, Pearson education India, 2nd

edition,

1998. ISBN-8120321073, 9788120321076

2. B.C. Punmia, Ashok Jain, Arun Jain, Strength of Materials, Laxmi publications, 2002.

ISBN-13,9788131804285

3. Ferdinand Beer & Russell Jhonstan, Mechanics of Materials, TMH 3rd

Edition, 2003.

ISBN – 0070535108, 9780070535107

6

FLUID MECHANICS

ME 303 LTPC: 3-1-0-4



Course objectives:

To Introduce the students of under graduate level a well balanced coverage of physical

concepts, mathematical operations and useful foundation on the behaviour of fluids at rest

and fluids in motion along with fluid flow measurement.



1) know the basic principles of Fluid Mechanics 1, 3. 4

2) understand the properties and essential features of behaviour of fluid 1, 5

3) estimate the flow rate of fluid using different flow measuring devices and

losses in fluid-flow through pipes 2, 3

4) analyse various engineering systems using basic principles of fluid flow 3. 5, 8

COURSE CONTENTS:

PART – A

Unit – 1 Properties of Fluids: Introductory concepts and definitions, continuum, properties of

fluids, classification. 06 Hrs.

Unit – 2 Fluid Statistics: Definition – pressure, atmospheric pressure, absolute pressure, gauge

pressure, vacuum pressure. Pressure at a point, Pascal’s law of pressure, manometers (Simple &

differential U tube manometer), hydrostatic force on submerged plane surfaces and curved

surfaces, Buoyancy and stability criteria determination of Metacentric height by analytical

method. 07 Hrs.

PART – B

Unit – 3 Fluid Kinematics: Fluid flow concepts, types of fluid flow, continuity equation in 1D

and 3D (Cartesian co-ordinate system only) dimensions, stream function and velocity potential

function for 2-D flow, relationship between them and vorticity, flow nets. 07 Hrs.

Unit – 4 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 fluid. 06 Hrs.

PART – C

Unit – 5 Dimensional Analysis: Dimensions of physical quantities, dimensional homogeneity-

Rayleigh’s method, Buckingham’s theorem, important dimension less numbers, similitude.

06 Hrs.

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Unit – 6 Fluid Flow measurements: Flow measurement devices such as Venturimeter, Orifice

meter, Pitot tube.

Flow through Pipes: Friction loss in pipe, flow-minor losses in pipe, flow-Energy line and

hydraulic gradient line, Darcy and Chezy equations. 07 Hrs.

PART – D

Unit – 7 Laminar flow and Viscous Effects: Reynolds number, critical Reynolds number,

laminar flow through a round pipe-Hagen poiseuille’s equation, Laminar flow between two

parallel, stationary plates. 06 Hrs.

Unit – 8 Flow past Immersed Bodies: Drag, Lift, pressure and friction drag, Boundary layer

concept and calculation of laminar boundary layers thickness, displacement & momentum

thickness.

Introduction to compressible Flow: Derivation of Sonic velocity, Mach number, Isentropic

flow, speed of sound wave, propagation of disturbances in compressible fluid. 07 Hrs.

Text Books:

1. Yunus A.Cengal, John M Oimbala, Fluid Mechanics TMH., 2006. ISBN-007117202

2. R.K.Rajput, Fluid Mechanics, S Chand 2008. ISBN-8121916674

Reference Books:

1. Som and Biswas, Introduction to Fluid Mechanics and Machinery, TMH.,2005. ISBN-

0-07-0494975

2. John F. Douglas, Janul and M. Gasiosek and John. A. Swaffield, Fluid Mechanics,

Pearson Education Asia 5th

Edition, 2006. ISBN-10:0131292935, ISBN- 13:978-

0131292932

3. White, Fluid Mechanics, 5th

Edt. TMH 2003. ISBN: 0072402172

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PHYSICAL AND MECHANICAL METALLURGY

ME 304 LTPC: 4-0-0-4



Course Objective:

To introduce the students to Science and Engineering of Materials through, an

understanding of Structure, Processing and Properties of materials



1) understand the Structure, Processing and Properties of common materials

used in engineering practice

1

2) understand behavior of materials under specific applications 3

3) relate behavior of materials to specific design problems and principles 3, 4

4) select materials judiciously for specific applications 3

5) understand economics of engineering manufacture 3,6

6) asses the environmental impact of materials used in specific application 6

COURSE CONTENTS:

PART – A

Unit – 1 Introduction: Classification of materials based on structure and function,

Environmental and other effects, Material design and selection. Solidification of Pure Metals:

Mechanism of solidification – Nucleation and Crystal growth, Formation of grain structure –

types of cast 06 Hrs.

Unit – 2 Crystal Imperfections and atomic diffusion: Point, line, Surface and volume

imperfections, Atomic Diffusion – Phenomenon and applications, Fick’s Laws of Diffusion.

Factors affecting diffusion, diffusion and material processing. 06 Hrs.

PART – B

Unit – 3 Solid solutions and phase equilibrium: Solubility and Solid Solutions, Conditions

for unlimited solubility (Hume-Rothery rules), Gibb’s phase rule, Construction of Equilibrium

diagrams, Binary Equilibrium diagrams – Isomorphous, Eutectic and Partial Eutectic Systems,

Development of Microstructures, Cored structures, Lever rule, Numerical examples, Invariant

Reactions 08 Hrs.

Unit – 4 Iron – Carbon Systems: Iron – Carbon Equilibrium diagram, Solidification of Steels

and Cast irons, Development of microstructures, Isothermal – Transformation Diagrams,

Continuous Cooling Curves, 06 Hrs.

9

PART – C

Unit – 5 Heat Treatment: Heat treatment techniques - Annealing and its types, Normalising,

Hardening, Tempering, Martempering, Austempering, Hardenability, Surface Hardening –

Carburising, Nitriding, Cyaniding, Flame Hardening and Induction hardening. 07 Hrs.

Unit – 6 Mechanical Behaviour and Strengthening Mechanisms: Mechanical properties in

Plastic range, True Stress – Strain, Yielding in Single crystals – Slip and Twinning, Resolved

Shear Stress, Flow Stress, Strain Hardening, Reasons for strain Hardening, Bauschinger effect,

Solid solution strengthening, Strengthening by grain refinement, Dispersion strengthening &

Precipitation hardening, Recovery, Recrystalisation and Grain growth. 08 Hrs.

PART – D

Unit – 7 Failure - Ductile and Brittle fracture, Fracture Toughness, Ductile – to Brittle

transition, Fatigue Factors that influence Fatigue life, Creep – Generalised Creep behaviour,

Stress and Temperature effects. 05 Hrs.

Unit – 8 Engineering Materials – Properties, composition and uses of low, medium and high

carbon steels, AISI – SAE and BIS Steel designations, Cast irons - Grey, White, malleable cast

irons, Al, Mg, Copper &Titanium alloys. Composites – FRP’s & MMC’s. 06 Hrs.

Text Books:

1. Donald Askerland & Pradeep P.Phule, Essentials of Material Science & Engineering,

Thomson learning, 2006. ISBN-0534553966

2. An Introduction William D. Callister Jr., Material Science and Engineering, Wiley

India Pvt. Ltd. 6th

Edition, 2006. ISBN-10:0471736961, ISBN-13:9780471736967

Reference Books:

1. V. Raghavan, Physical Metallurgy- Principles and Practice, PHI, 2nd

Edition 2006.

ISBN-1018120330129, ISBN-13:978-812033122

2. Sidney H. Avner, Introduction to Physical Metallurgy, McGraw–Hill International

Edition.2005. ISBN: 978-0071396035756

3. William F.Smith, Principles of Material Science and Engineering, McGraw–Hill

International Edition 1997.ISBN – 10:0073529249, ISBN-13:978-0073529240

10

BASIC THERMODYNAMICS

ME 305 LTPC: 3-1-0-4



Course Objective:

To introduce the students of under graduate level a well balanced coverage of physical

concepts, foundations of the basic laws of thermodynamics and its engineering

applications



1) an ability to understand the basic definitions of engineering

thermodynamics 1, 2, 5, 8

2) understand the concept of work, heat and energy 1, 4. 9

3) apply and analyse systems using laws of thermodynamics 1, 4. 9

4) understand the concept of entropy and its applications to pure

substances and gases 1, 5. 8

5) analyse heat engines and heat pumps 1, 2. 9

COURSE CONTENTS:

PART – A

Unit – 1 Fundamental Concepts and definitions: Introduction, Thermodynamic system and

the control volume, thermodynamic properties, processes and cycles, thermodynamic

equilibrium, Zeroth law of thermodynamics, temperature: concepts, measurement, temperature

scales. Problems. 06 Hrs.

Unit – 2 Work and Heat: Definition of work, Thermodynamic definition, different forms of

work, expressions for work done in different processes through P-V diagrams. Heat,

comparison of work and heat. Problems. 06 Hrs.

PART – B

Unit – 3 The First law of Thermodynamics: Joule’s experiments, equivalence of heat and

work, statement of the first law, energy, different forms of stored energy, First law as a rate

equation, First law for a control volume, steady flow devices, PMMK-I. Problems. 07 Hrs.

Unit – 4 The Second law of Thermodynamics and reversibility: Heat engine, source and

sink, efficiency, heat pump and refrigerator, Statement of the second law, Kelvin –Planck and

Clasius statements and their equivalence, PMMK–II, Reversible and irreversible processes,

Problems. 07 Hrs.

11

PART – C

Unit – 5 Entropy : Clasius theorem, Inequality of Clasius, Entropy, principle of increase of

entropy, entropy as a criterion of reversibility, calculation of entropy using Tds relations,

entropy as a coordinate, 06 Hrs.

Unit – 6 Available Work: 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 Hrs.

PART – D

Unit – 7 Pure substance : Definition, P-V and P-T diagram for a pure substance, two-property

rule, triple and critical points, states of pure substance , P-V-T surfaces, T-s diagram and h-s

diagram for a pure substance, quality or dryness fraction, steam tables, Mollier chart,

measurement of steam quality; Throttling , Separating and Throttling calorimeter, Problems

07 Hrs.

Unit – 8 Properties of Gases and Gas mixtures : Equation of state of a gas, ideal gas, law of

corresponding states, general compressibility chart, properties of mixtures of gas, Dalton’s law,

internal energy, enthalpy and specific heats, entropy of gas mixtures, 07 Hrs.

Text Books:

1. Yunus A Cengal & Michel A Boles, Thermodynamics – An Engineering Approach,

TMH, 2002. ISBN: 9780070262171

2. P.K. Nag , Basic and Applied Thermodynamics, TMH, 2008. ISBN-978007047336

Data Hand Book:

1. B. T. Nijaguna and B. S. Samaga, Thermodynamic Data Hand Book, Sudha

Publications

Reference Books:

1. G.J. Van Wylen and Richard E.Sonntag, Fundamentals of classical thermodynamics,

John Wiley and sons 2002. ISBN: 9780471829331

2. Gorden Rogers and Yon Mayhew, Engineering Thermodynamics, Pearson Education,

Fourth Edition. 2005. ISBN: 9780582045668

3. Spalding & Cole, Engineering Thermodynamics, ELBS Edition.

12

KINEMATICS OF MACHINES

ME 306 LTPC: 3-1-0-4



Course Objective:

To provide students with the basic knowledge of kinematics of machinery and analysis

Course Outcomes (COs) {with mapping shown against the Program Outcomes (POs)}


1) define and differentiate mechanisms and machines 1, 3, 9

2) analyze geometry of motion graphically and analytically to determine

position velocity and acceleration 1, 4, 7

3) design planar single degree freedom mechanisms for engineering

applications 2, 3, 4, 5, 9

4) generate cam profile 1, 3, 5, 11

5) understand theory of gear design and analyse gear trains 1, 3, 4, 5,

10,11

COURSE CONTENTS:

PART – A

Unit – 1 Definitions: Introduction to Theory of Machines, Link, Kinematic Pairs, Degrees of

freedom. Kinematic chain, Mechanism, Inversion, Machine, Grubler’s criterion. 06 Hrs.

Unit – 2 Linkages: Four bar chain and its inversions, Single slider chain and its inversions,

Double slider chain and its inversions, Kinematic chain with three lower pairs, Quick return

motion mechanisms, Straight line mechanisms, Pantograph, Intermittent motion mechanisms,

Toggle mechanism, Ackerman steering gear mechanism, Hooke’s Joint. 08 Hrs.

PART – B

Unit – 3 Velocity & Acceleration: Velocity analysis by instantaneous centre method,

Definition, Kennedy’s theorem, Determination of velocity using instantaneous center method,

Problems using instantaneous center method, Analysis of velocity and acceleration of single

slider crank chain using Klein’s construction. 06 Hrs.

Unit – 4 Determination of relative velocities in links, Problems on velocity, Determination of

Acceleration in links Problems on acceleration, Coriolis component of acceleration, Problems

on coriolis acceleration. 06 Hrs.

13

PART – C

Unit – 5 Complex algebra method: Velocity and acceleration analysis of single slider

mechanism and four bar mechanism. 05 Hrs.

Unit – 6 Cams: Types of cams, Types of followers, Displacement, velocity & acceleration time

curves for cam profiles, Cam with knife edge follower, Cam with roller follower, Cam with flat

faced follower, Cam with oscillating follower, Problems on drawing cam profiles. 07 Hrs.

PART – D

Unit–7 Spur Gears: Law of gearing, Definitions, Characteristics of involute action,

Interference in involute gears, Methods of avoiding interference, Back lash, Comparison of

involute & cycloidal teeth, Problems on Gears, Bevel, Helical & Worm Gearing. 07 Hrs.

Unit–8 Gear Trains: Simple gear trains, Compound gear trains, Epicyclic gear trains, Relative

velocity method & Tabular method, Problems on gear trains. 07 Hrs.

Text Books:

1. Thomas Bevan., Theory of Machines, C.B.S Publishers, 2005. ISBN-8123908741

2. Shigley. J. V. and Uickers, J. Theory of Machines & Mechanisms TMH, 6th

Edition,

2003. ISBN-04718-0237-9, ISBN-019515598X.

Reference Books:

1. Hamilton H. Mabie and Fred W. Ocvirk, Mechanisms and Dynamics of Machinery,

John Wiley & Sons. ISBN-0471802379.

2. Rattan S.S., Theory of Machines, TMH , Second Edition, 2006. ISBN-81-219-2524-X,

ISBN 007591202.

3. DR. Jagadeesh Lal, Theory of Mechanisms and Machines, Metropolitan Book Co. Pvt.

Ltd, 2005. ISBN: 8120000749.

14

WORKSHOP PRACTICE

ME 307 LTPC: 0-0-2-1



Course Objective:

To provide students with the knowledge and necessary skills to perform metal fitting

work, sheet metal work and metal joining operations.



1) understand the importance and learn metal fitting work in assembly line

1, 8, 9, 11

2) understand the concept and practice, joining of metals using soldering

and electric arc welding methods

3) carry out basic sheet metal operations for engineering work

4) use their analytical, team work, leadership and practical skills acquired,

in design of structures and machine elements so as to provide solutions

to problems sought by local and/or global community

COURSE CONTENTS:

1 Part A - Fitting Practice: Preparation of at least three models like (2 piece joint)

semi circular, Dovetail joint, Square, Zig zag joint.

2 Part B - Welding practice: welding of different types of joints using electric Arc

welding (at least three models), gas welding processes (demo only).

3 Part C – Sheet Metal & Soldering practice: Preparation of models like Cylinder,

Prisms, Transition piece & tray, & soldering the joints (at least three models).

SEE Scheme:

Q -1 (a) Two piece fitting Model

(b) Welding

(c) Simple development (only drawing)

25 Marks

10 Marks

05 Marks

OR

Q -2 (a) Sheet metal model with development with Soldering

(b) Welding

30 Marks

10 Marks

Q -3 Viva voce 10 Marks

15

III Semester Bridge Course for Diploma Students

(Common to all branches of Engineering)

(Audit Course)

COURSE CONTENTS

Advanced Mathematics - I

MATDIP301 Hours / Week : 03

Exam Hours : 3 Total hours : 40

PART – A

Unit: 1: Differentiation-I: Review of limit and Continuity, differentiation- Basic

formulas, Sum rule, product rule, quotient rule, chain rule and problems. 5Hrs.

Unit: 2: Differentiation-II: Rolle’s Theorem, Lagrange’s Mean value theorem and

Cauchy’s mean value theorem (statements), problems 5Hrs.

PART – B

Unit: 3: Differentiation-III: Polar curves- angle of intersection between the curves, Pedal

form, Taylor’s series, and Macluaurin’s series of simple functions for single variables.

5Hrs.

Unit 4: Partial differentiation -I: Definition, Illustrative examples on Partial

differentiation, Total differentiation, chain rule, differentiation of composite and implicit

functions. 5Hrs.

PART - C

Unit 5: Partial differentiation –II: Jacobians illustrative examples and problems, Maxima

& Minima of a function of two variables, Approximations and Errors simple problems

5Hrs.

Unit 6: Integration: Basic formulas, Illustrative examples, integration of standard function,

Integration by parts, Bernoulli’s rule of Integration. 5Hrs.

PART - D

Unit 7: Integral calculus: Reduction formula for functions

(without proof), Simple problems, Double & triple integration, simple problems with

standardlimits. 5Hrs.

Unit 8: Complex Numbers: Definition, Complex numbers as an ordered pair, real and

imaginary part, modulus and amplitude of a complex number, polar form, exponential

form, expressing in the form problems. 5Hrs.

Reference Books:

1. Dr. B. S. Grewal, Higher Engineering Mathematics, Khanna Publications,

40th

edition (2007).

2. Erwin Kreyezig, Advanced Engineering Mathematics, Tata McGraw Hill

Publications, 8th

edition (2007

16

ENGINEERING MATHEMATICS – IV

(COMMON TO ALL BRANCHES)

MA 401 LTPC: 4-0-0-4



Course Outcomes (COs) In Engineering Mathematics

(i) Developing creative thinking through the understanding of fundamental theory of

mathematics.

(ii) Adapting the analytical skills and techniques for problem solving.

(iii) A classical approach to solve engineering related problems, highlighting the

applications through logical techniques.

PART A

Unit 1 Functions of a complex variable: Definition of limit, continuity and

differentiability of a function of a complex variable. Analytic functions. Cauchy-

Riemann equations in Cartesian and polar forms. Harmonic functions.

Construction of an analytic function using Milne-Thomson method (Cartesian &

Polar forms). Illustrative examples from Eng. field 06Hrs.

Unit 2 Conformal Mapping: Definition of Conformal Transformation and discussion of

standard transformations.

.sin,,,2

2 zwz

kzwewzw z Bilinear transformations, Cross ratio property

with proof, illustrative examples. 06Hrs.

PART B

Unit 3 Complex Integration: – Cauchy’s theorem, Cauchy’s Integral formula,

Evaluation of integrals using Cauchy’s integral formula, Zeros of an analytic

function, Singularities and Residues, Calculation of residues, Evaluation of real

definite integrals. 07Hrs.

Unit 4 Statistics: Review of Mathematical Statistics - measures of central tendency and

measures of dispersion. Curve fitting by least square method – Straight lines,

parabola, and exponential curves. Correlation – Karl Pearson coefficient of

correlation and Spearman’s rank correlation coefficient. Regression analysis.

Illustrative examples. 07Hrs.

PART C

Unit 5 Probability: Basic counting principles, sample space, random experiment,

definition of probability and probability axioms. Addition and multiplication law

of probability, conditional probability, and Bayes’ theorem. Illustrative examples. 06Hrs.

Unit 6 Discrete Random Variables: Definitions and properties of PDF & CDF.

Theoretical Distributions - Binominal, Poisson Distributions. Expectation and

variance. Illustrative examples. 06Hrs.

PART D

Unit 7 Continuous Random Variables: Definition and properties, PDF and CDF.

Theoretical distribution of a continuous random variable – Exponential,

Normal/Gaussian . Expectation and variance of theoretical distribution functions 06Hrs.

17

Unit 8 Joint Probability Distribution & Stochastic Processes: Concept of joint

probability, Joint distributions of discrete random variables, Independent random

variables problems. Joint expectation, co-variance and regression coefficients.

Stochastic Processes – Classification, Markov Chains: Introduction, probability

vectors, stochastic matrices, fixed points and regular stochastic matrices. 06Hrs.

Text Book:

1. Dr. B. S. Grewal, Higher Engineering Mathematics, Khanna Publications, 40th

edition (2007)

Reference Books: 1. Erwin Kreyezig, Advanced Engineering Mathematics, Tata McGraw Hill Publications, 8

th

edition (2007)

2. S. C. Chapra and R. Canale, Numerical Analysis for Engineers, Tata McGraw Hill

Publications, 5th

edition (2005)

3. Numerical methods for Scientific and Engineering computation by M.K. Jain, SRK Iyengar,

R.K. Jain, 5th

edition,

New age International Publishers.

18

MANUFACTURING SCIENCE – I

ME 402 LTPC: 4-0-0-4



Course objectives:

To impart knowledge of principles, technology and recent developments in Non

Traditional Machining processes

Course Outcomes (COs){with mapping shown against the Program Outcomes (POs))


1) acquire knowledge on moulding materials, foundry machines and equipments 1

2) estimate charges for different melting furnaces and final alloying proportions 5

3) identify casting defects, understand reasons and recommend remedial measures 4, 5

4) possess a good understanding of special molding and casting techniques, plastic

processing methods and powder metallurgy 5

COURSE CONTENTS:

PART – A

Unit - 1 Introduction to foundry practice–General review of metals and alloys used in

the foundry. Sand mould making procedure. Pattern-materials- types and

allowances. Molding sand types, composition and properties. Core making.

06 Hrs.

Unit - 2 Melting furnaces - Electric arc furnace, induction furnace, and cupola furnace –

construction and operation, charge calculations, application of vacuum melting in

steel making. 07 Hrs.

PART – B

Unit - 3 Feeding of metal and Solidification of Castings – Elements of gating systems -

types of gates, gating ratio, pouring time, risers - functions and types.

Solidification of metals and alloys, directional and progressive solidification,

methods of achieving directional solidification, fluidity of liquid metals, factors

affecting fluidity. 06Hrs.

Unit - 4 Special Molding and Casting Techniques – Shell molding, CO2 – molding,

Investment casting, Die casting, Centrifugal casting, Continuous casting methods

and their applications. 06Hrs.

PART – C

19

Unit - 5 Casting defects and inspection – Casting defects- Causes and remedies. Cleaning

of casting. Inspection of castings: Non destructive methods - X- ray radiography,

magnetic particle inspection, dye penetrant test and ultrasonic test. 07Hrs.

Unit - 6 Mechanization of foundry: Need for modernization and mechanization, areas of

mechanization, sand reclamation and preparation, molding and core making

machines, material handling equipments environments. 05 Hrs.

PART – D

Unit - 7 Plastic Processing - Introduction, types of plastics, Processing methods: Extrusion

of plastic, Injection Molding, Blow Molding, Thermoforming, Compression

Molding, Transfer molding - Advantages, limitations and Applications. 07Hrs.

Unit - 8 PowderMetallurgy - Introduction, Steps involved in powder metallurgy,

production of metal powder, blending, compacting: cold and hot isostatic pressing,

sintering, secondary operations- advantages and limitations of PM process. 07Hrs.

TEXT BOOK:

1. P. N. Rao, “Manufacturing Technology – Foundry, Forming and Welding”, TMH,

3rd Edition, 2008. ISBN 10: 0-07-008798-9

2. Casting Technology and Cast Alloys - A. K. Chakrabarthi, PHI, 2005.

ISBN :81-203-2779-9

Reference:

1. O.P.Khanna, principles of foundry technology. TMH, 5th

edition.

ISBN (13): 978 – 0 – 07 - 015129 – 1

2. Principles of Foundry Technology - P. L. Jain, TMH, 2nd Edition, 2006.

ISBN: 0070447608.

3. Materials and Processes of Manufacturing, Roy A. Lindberg, 4th

Edition, Pearson

Education, 2006.

20

TURBOMACHINES

ME 403 LTPC: 3-1-0-4



Prerequisite:

ME302

Course Objectives:

To provide the knowledge of basic principles, governing equations and applications of

turbomachine



1 identify and differentiate positive displacement machines and turbo machines 1, 5

2 analyze energy transfer through graphical and analytical methods in turbo

machines

1, 5

3 design different kinds of turbomachines 1, 3, 9

COURSE CONTENTS:

PART – A

Unit – 1 Introduction: Definition of a turbo machine, parts of turbo machine, Comparison

with positive displacement machine, Classification, Applications of first and second law of

thermodynamics to turbo machines, efficiencies, dimensional analysis dimensionless numbers

related to turbo machines and their physical significance, Effect of Reynolds number; Specific

speed, model studies. 07 Hrs.

Unit – 2 Energy Transfer in Turbo Machines: Euler’s Turbine equation, Alternate form of

Euler’s turbine equation – components of energy transfer; Degree of reaction, Utilization factor,

Vane efficiency, Relation between utilization factor and Degree of reaction ,Axial flow steam

turbines - Velocity diagram for different values of degree of reaction. Maximum utilization

factor, optimum blade speed ratio for different types of turbines. (Impulse and 50%Reaction),

comparison of Energy transfer. 07 Hrs.

PART – B

Unit – 3 Energy Transfer in Turbo Machines (Continued)

Radial inward and outward flow machines; Francis turbine, Degree of reaction, General

analysis of centrifugal pumps and compressors, Head–capacity curve for Radial out ward flow

devices. Velocity triangles for Axial flow compressors 06 Hrs.

Unit – 4 Hydraulic Turbines: Classification, Unit Quantities, Specific Speed, Pelton Wheel-

velocity triangles, bucket dimensions, efficiency; Francis turbine-velocity triangles, runner

shapes for different blade speeds, Design of Francis turbine, Draft tube-functions, types of draft

tubes, Kaplan turbine and velocity triangles and design. 07 Hrs.

21

PART - C

Unit – 5 Centrifugal Pumps: Definition of terms used in the design of centrifugal pumps like

Manometric head, suction head, delivery head, overall efficiency, etc., Multistage centrifugal

pumps design procedure. 06 Hrs.

Unit - 6 Steam Turbines: Impulse staging and need for compounding, Methods of

compounding: Velocity and pressure Compounding, Pressure and velocity compounding,

Difference between Impulse and Reaction turbines, condition for maximum utilization factor

with equiangular blades for impulse turbine. 07 Hrs

PART - D

Unit – 7 Steam Turbines(Continued) Multi stage Impulse turbine(Curtis Turbine),Advantages

and disadvantages of velocity compounding , Reaction staging(Parson’s Turbine), Reheat factor

in turbine. steam turbine losses. 06 Hrs

Unit -8 Introduction to Centrifugal and Axial flow compressors

Centrifugal Compressors: Expression for overall pressure ratio developed: Blade angles at

impeller eye tip: Slip factor and power input factor: Compressibility effects-need for pre-whirl

vanes, Surging of centrifugal compressors. (Elementry Numericals)

Axial Flow Compressors: Classification: Expression for pressure ratio developed per stage-work

done factor, radial equilibrium conditions. (Elementry Numericals) 06 Hrs

Text Books:

1. V.Kadambi and Manohar Prasad, An introduction to energy conversion - Volume III-

Turbo machinery,Wiley Basten Ltd. (1977).

2. D.G.Shepherd, Principles of Turbo Machinery, The Macmillan Company (1964).

ISBN- 81-7319-563-3

Reference Books:

1. S.M.Yahya Turbines, Compressors & fans, TMH 2nd

edition (2002). ISBN

10:0074519913 ISBN-13:978007451219912

2. H.Cohen, GFC Rogers , & HIH Saravanamuttoo, Gas turbine theory, Thomson press

India Ltd.,4th

Edition (1998). ISBN: 81-297-0486-2

3. G Gopalakrishna & D Prithviraj, A treatise on Turbomachines, Scitech Publications

Pvt. Ltd, 2002

22

APPLIED THERMODYNAMICS

ME 404 LTPC: 3-1-0-4



Prerequisites:

ME302, ME305

Course Objective:

To acquire knowledge of application of basic concepts of thermodynamics to analyse air

standard, vapour power, refrigeration cycles and thermodynamic systems in engineering

applications



1) perform power and refrigeration cycle analysis using various working fluids 1, 2, 5, 8

2) apply psychometrics to analyze air conditioning systems 1, 4, 9

3) apply the first and second laws of thermodynamics to analyse combustion

processes 1, 4, 9

4) understand thermodynamic analysis of steam nozzles 1, 5, 8

5) carry out the performance study of reciprocating compressors , Internal

Combustion engines & Gas Turbines 1, 2, 9

COURSE CONTENTS:

PART – A

Unit – 1 Gas Power Cycles : Air-standard Cycles ; Assumptions made, Carnot ,Otto , Diesel

and Dual combustion cycle , representation of these cycles on T-s and P-V diagrams,

efficiencies , mean effective pressure and work ratio, comparison of Otto , Diesel and Dual

combustion cycles. 07 Hrs.

Unit – 2 Vapour power cycles: Carnot cycle, Analysis of Rankine cycle, representation of

these cycles on T-s and h-s diagrams, comparison, Rankine cycle with Reheat, Regenerative

cycle with feed water heating system. 07 Hrs.

PART – B

Unit – 3 Gas Turbine cycles: Closed cycle and open cycle , analysis of Simple gas turbine

(Brayton) cycle, Methods to improve the performance; gas turbine cycles with regeneration,

inter-cooling and reheating, Closed cycle gas turbine. 06 Hrs.

Unit – 4 Positive displacement machines: Reciprocating compressor- single stage air

23

compressor with and without clearance, work done, volumetric efficiency, disadvantages of

single stage compressor, Multi-stage compression, advantages, effect of inter-cooling, Optimum

pressure ratio, minimum work for compression. 06 Hrs.

PART – C

Unit – 5 Steam Nozzles and jet Propulsion: Introduction to nozzles, Types of Nozzles, Nozzle

shapes, critical pressure ratio, maximum mass flow, nozzle efficiency, steam nozzles, jet

propulsion, the turbojet and the turbo prop. 06 Hrs.

Unit – 6 Heat Pump and Refrigeration cycles: Introduction, refrigeration, uses, methods,

refrigerator and heat pump, COP, Vapour compression refrigeration system and its analysis,

pressure – enthalpy diagram, effect of changing operating conditions on the performance of

Vapour compression refrigeration system, Vapour absorption refrigeration system. 08 Hrs.

PART – D

Unit – 7 Psychrometry and air-conditioning : Properties of atmospheric air, Psychometric

properties, Psychometric chart, Psychometric processes and their representation on

Psychometric chart, types of air conditioning systems. 06 Hrs.

Unit – 8 I.C. Engines: Testing of Two & Four stroke SI & CI engines for performance, related

numerical problems, heat balance sheet, Morse test. 06 Hrs.

Text Books:

1. P.K. Nag , Basic and Applied Thermodynamics, Tata McGraw Hill pub. Co., 2002.

ISBN- 089-116-626-2

2. Yunus A Cengal & Michael A Boles, Thermodynamics – An Engineering Approach,

Tata McGraw Hill pub. Co., 2002. ISBN: 139780073305370

Data Hand Book:

1. 1. B. T. Nijaguna and B. S. Samaga, Thermodynamic Data Hand Book, Sudha

Publications

Reference Books:

1. T. D. Eastop and A. Mc Conkey, Applied Thermodynamics for Engineering

Technologiest, Pearson Education, Fifth Edition. ISBN- 9788177582383

2. Gorden Rogers and Yon Mayhew, Engineering Thermodynamics, Pearson Education,

Fourth Edition.

3. R. K. Rajput, Thermal Engineering, Laxmi Publications, New Delhi,2006. ISBN- 81-

7008-073-8

24

DYNAMICS OF MACHINERY

ME 405 LTPC: 3-1-0-4



Prerequisites:

ME306

Course objective:

Learn how to analyze static and inertial forces on mechanisms and machines



1) carry out graphical and analytical analysis of static and inertial force on

mechanisms and machines 1, 3, 4

2) understand balancing of machinery 1, 3, 4

3) understand function and design of governors, gyroscope and cams 2, 4, 9, 11

COURSE CONTENTS:

PART – A

Unit – 1 Static Force Analysis: Relation between members disregarding friction. Analysis of

engine mechanism, four-bar mechanism, mechanisms having more than four links.

06 Hrs.

Unit – 2 Dynamic Force Analysis: Inertia force, inertia torque, Determination of inertia force-

engine mechanism, four bar mechanism. Engine force analysis. Dynamically equivalent masses.

07 Hrs.

PART – B

Unit – 3 Fly wheel: Engine out put torque, turning moment diagram’s of I.C. Engines and multi

cylinder Engine, Fluctuation of Energy, Fly wheel design for I.C. Engine and size for punching

press. 06 Hrs.

Unit – 4 Balancing of Rotating Machinery: Static Balancing, Dynamic Balancing of rotating

masses-effect of single rotating mass, effect of two rotating masses not in the same plane of

rotation; several masses rotating in a single transverse plane, several rotating masses in different

transverse planes. Graphical and analytical methods 07 Hrs.

PART – C

Unit – 5 Balancing of Reciprocating Masses: inertia effect of crank and connecting rod; the

single cylinder engine counter balancing; condition of balance in multi cylinder- in –line, and

V-type engines 06 Hrs.

25

Unit – 6 Governors: Principle of Governors, Types, force analysis of Porter, Proell and

Hartnell governors, Controlling force, stability, sensitiveness, effort and power of governors,

governor characteristics. 07 Hrs.

PART – D

Unit – 7 Gyroscopic Forces: Vectorial representation of angular motion, Gyroscopic couple,

Effect of Gyroscopic couple on vehicles (aeroplane, ship, and simple two & four-wheel

vehicles), Gyroscope and Gyroscopic stability. 07 Hrs.

Unit – 8 Cam Dynamics: Cams with specified contours; Tangent Cam and Circular arc cam

(with flat-faced and roller follower) determination of displacement, velocity and acceleration of

followers. 06 Hrs.

Text Books:

1. Shigley, Theory of Machines, Tata McGraw Hill, 6th

Edition, 2003. ISBN-

04718-0237-9, ISBN:019515598X

2. Rattan S.S., Theory of Machines, TMH, 2006 Second Edition.ISBN-81-219-

2524-X, ISBN-0070591202

Reference Books:

1. Thomas Bevan., Theory of Machines, C.B.S Publishers, 2005. ISBN:

8123908741

2. Hamilton H. Mabie and Fred W. Ocvirk, Mechanisms and Dynamics of

Machinery, John Wiley & Sons. ISBN 471802379

3. Jagadeesh Lal, Theory of Mechanisms and Machines, Metropolitan Book Co.

Pvt..Ltd, 2006. ISBN-8120000749

26

MACHINE DRAWING

ME 406 LTPC: 1-0-4- 3



Prerequisites: MD104/204

Course Objective:

To interpret, understand and draw orthographic views of standard machine parts and

understand basics of assembly as well as component working drawings facilitating an

effective medium of communication



1. Visualize objects in 3D space and represent them in 2D

1, 2, 7, 11

2. Understand sectional views of component and assembly drawings

3. Understand nature of intersection between different surfaces

4. Visualize the 3D object out of 2D drawings

5. Follow IS and ISO drafting standards

COURSE CONTENTS:

1. Auxiliary and Sectional views, curves of intersections, drafting conventions 09 Hrs

2. Thread forms: ISO Metric (Internal & External) Square, Acme& BSW (internal &

external). 03 Hrs

3. Fasteners: Hexagonal headed & Square headed bolts with corresponding nuts with

washer. Stud bolt, Foundation bolt. Flanged, slotted and wing nuts. Taper pin &

locking purpose, counter sunk head screw, grub screw & Allen screw. Rivets. Keys:

Parallel key, Taper key, Feather key, gib head key, woodruff key. 03 Hrs

4. Joints Riveted joints(using snap head rivet) Single and double riveted lap joint, butt

joint with single strap(chain and zigzag), cotter joint(socket and spigot joint),Knuckle

joint(pin joint) for two rods 09 Hrs

5. Couplings: Protected type flange coupling, Pin type flexible coupling, and universal

coupling. 06 Hrs

27

6 ASSEMBLY DRAWING: concept of assembly and disassembly using Plummer

Block & Foot step bearing as examples

Part and Assembly drawings of the following:

a) Screw Jack

b) Stop Valve (Simple)

c) Fuel Injector

d) Tail Stock

e) Machine Vice 21 Hrs

Reference Book:

1. N.D. Junnarkar, Machine drawing, Pearson Publication 2nd

Edition, 2009

2. N.D.Bhat & V.M.Panchal, Machine drawing, Narosha Publishers, 2004.

3 K.R. Gopal Krishna, Machine drawing, Subhash Publications, 2004. ISBN-0-471-

17027-5

SEE Scheme:

Q. No.1 (a)

(b)

10 Marks (From Chapter 1)

10 Marks (From Chapters 2 & 3)

Q. No. 2(a) OR 2(b)

20 Marks (From Chapters 4 & 5 )

Q. No. 3 60 Marks (From chapter 6, Assembly drawing)

28

FOUNDRY AND FORGING LABORATORY

ME 407 LTPC: 0-0-3-1.5



Course Objective:

To provide students with the knowledge and necessary skills to perform sand moulding

and forging operations



1) prepare green sand and test for moulding purpose

1, 4, 5, 8, 9

2) prepare sand moulds using patterns and cores

3) prepare machine elements using forging technique

4) use their analytical, team work, leadership and practical skills acquired,

in metal casting and forging machine elements so as to provide

solutions to problems sought by local and/or global community

Course Contents:

1 Part A – Sand testing: Preparation of test specimen, determination of compression

and shear strength, permeability number, core and mould hardness and clay content.

2 Part B – Foundry practice: Use of foundry tools and other equipments, preparation

of moulds using two boxes. Use of split and match plate patterns and cores.

3 Part C - Forging practice: Preparation of minimum four models involving upsetting,

drawing and bending operations.

4 Part D – Demonstration of Simulation packages related to foundry and forging

processes.

SEE Scheme:

Part A: Compulsory question

Part B:

Part C:

Viva Voce

15 Marks

10 Marks

One question to be set from either Part B or

part C 25 Marks

29

MATERIAL TESTING LABORATORY

ME 408 LTPC: 0-0-2-1



Prerequisites:

ME301, ME304

Course objectives

To provide students with the necessary skills to conduct experiments, collect data, perform

analysis and interpret results to draw valid conclusions through standard test procedures to

determine mechanical properties and behavior of engineering materials.



1) know the strength of the different materials 1, 3, 4, 5, 6

2) recommend materials for different engineering applications 6, 7, 8, 9, 10

3) use their analytical, teamwork, leadership skills in design of structures and

machine elements so as to provide solutions to problems sought by local

and/or global community 1, 6, 7, 8, 12

COURSE CONTENTS:

1. Conduction of Tensile, shear, Compression, Torsion, Impact and Bending tests of

Mild steel.

2. Hardness tests- Brinell, Rockwell and Vicker’s.

3. Fatigue and wear test.

SEE Scheme:

One Major experiment

One Minor experiment

Viva Voce

25 Marks

15 Marks

10 Marks

30

FLUID MECHANICS & MACHINES, AND FUELS LABORATORY

ME 409 LTPC: 0-0-2-1



Prerequisites: ME302, ME402, ME305, ME404,

Course objective:

To provide students with the necessary skills to conduct experiments, collect data, perform

analysis and interpret results to draw valid conclusions through standard test procedures to

determine characteristics of hydraulic machines and performance of fluid flow devices,

energy conversion and to understand characteristics of different fuels.

Course Outcomes (COs) (with mapping shown against the Program Outcomes (POs))

Upon completion of the course, students shall be able to::

1 reinforce and enhance their under-standing of the fundamentals of fluid

mechanics and hydraulic machines 1

2 calibrate fluid flow measuring devises 2, 5

3 conduct performance studies on hydraulic machines 2

4 use their analytical, teamwork, leadership skills in the development of

fluid flow measuring devises and hydraulic machines so as to provide

solutions to problems sought by local and/or global community

2, 8

5 determine characteristics of different fuels 2, 3

6 understand the energy conversion from one form to another 5, 2

COURSE CONTENTS:

1 Determination of coefficient of friction of flow in a pipe.

2 Determination of minor losses in flow through pipes.

3 Experiments on flow measuring devices

a) Orifice plate

b) Venturi-meter

4 Impact of jets on vanes

5 Performance tests on Turbines

a) Pelton Wheel

b) Francis Turbine

c) Kaplan turbine

6 Performance tests on pumps

a) Centrifugal pump

b) Reciprocating Pump.

31

7. Determination of Flash and Fire point of Lubricating oil using open cup and closed cup

apparatus.

8. Determination of C.V. of solid fuels, Liquid & gaseous fuels.

9. Determination of Viscosity of Lubricating oil using Red wood, Saybolt & Torsion

viscometer.

SEE Scheme:

1. One experiment from either 1 to 4 or 7 to 9 15 Marks

2. Any one performance test either from 5 or 6 25 Marks

3. Viva Voce 10 Marks

Total: 50 Marks

32

IV Semester Bridge Course for Diploma Students

(Common to all branches of Engineering)

(Audit Course)

COURSE CONTENTS

Advanced Mathematics - II

MATDIP401 Hours / Week : 03

Exam Hours : 3 Total hours :

40

PART – A

Unit:1: Differential Equations-I: Solution of first order first degree differential equations-

Variable separable methods, Homogeneous Equations, Exact differential equations

(without I.F direct problems). 5Hrs.

Unit 2: Differential Equations-II: Linear & Bernoulli’s differential equations, Differential

equations of second and higher order with constant coefficients (Direct problems) 5Hrs.

PART – B

Unit 3: Differential Equations-III: Solution of second and higher order equations with

constant coefficient by inverse differential operator method: y =

, ,

,

(Simple problems). 5Hrs.

Unit 4: Laplace Transforms-I: Definitions, Laplace transforms of elementary functions,

derivatives and integrals (without proof) illustrative examples 5Hrs.

PART –C

Unit 5: Laplace Transforms-II: Periodic functions, Unit step function, Unit impulse

function 5Hrs.

Unit 6: Laplace Transforms-III: Inverse transforms simple problems, Applications of

Laplace transforms to differential equations. 5Hrs.

PART –D

Unit 7: Vector Algebra: vector addition, Multiplication (Dot and Cross product), Triple

products, vector differentiation, velocity, acceleration of a vector point function.

5Hrs.

Unit: 8: Vector integration – Evaluation of Line integrals, surface integrals and volume

integrals simple problems, Statement of Green’s theorem, Stokes theorem and Gauss

Divergence theorem, Illustrative examples 5Hrs.

Reference Books:

1. Dr. B. S. Grewal, Higher Engineering Mathematics, Khanna Publications,

40th

edition (2007).

2. Erwin Kreyezig, Advanced Engineering Mathematics, Tata McGraw Hill

Publications, 8th

edition (2007)

Documents

Academic Year 2015-16 III Semester B.E.mcehassan.ac.in/.../files/Academic_year_2015-16_III__IV_Syllabi.pdfUnit 7 Matrix algebra, Consistency of non homogeneous system of equations