IV SEM ME SYLLABUS

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ENGG. MATHEMATICS -IV

THEORY OF MACHINES - I

MANUFACTURING PROCESS -II

METROLOGY & INSTRUMENTATION

FLUID MACHINES & SYSTEMS

FLUID MECHANICS & FLUID MACHINES LAB

METROLOGY & INSTRUMENTATION LAB

COMPUTER AIDED DRAFTING

 

 MAT 401 ENGG. MATHEMATICS -IV



Hours per week: 04       I.A.Marks:25
Total Hours: 50                Exam Marks: 100

1.
a. Finite Difference and interpolation:


Definition of differences -operations factorial and their relations - Newton's interpolation formulae - central differences - stirling's formula - LaGrange' formula for unequal intervals - Problems

Numerical differentiation and integration - formula for quadrate Simpson's rules - trapezoidal rule - Weddles rule

b. Numerical solution of algebraic and transcendental equation :

The method of bisection - Fixed point iteration method - Aithen' Delta Square method - method of false position - Newton-Raphson's method - order of convergence of all the above method- Problems   5+5=10 hr

2.
a . Numerical Solution of System of linear equations:


Jacob's method - Gauss - Seidel method - Croute's method Gauss - Jordan method - Problems.

b. Numerical Solution of ordinary differential Equations Taylor's. Series method - Euler's and Euler's modified - Picard successive approximation method and Runge - Kutta 4th order method.      5+5=10Hrs

3.
a. Analysis of Varience :


Analysis of varience of one way classification - varification within and between treatments -short cut methods for obtaining variations - linear mathematical mod for analysis of varience

b. Estimation Theory:

Unbiased and efficient estimation - point. and interval estimates - confidence interval estimates of population parameters - confidence interval for means - C.I. for proportion- C.l. for variances (for large and small samples) -Problems

C. Testing of hypothesis:

Introduction and Significance of testing of hypothesis - type - I type -II errors- tests involving distribution - one - tailed and two tailed test - tests for large and small samples- goodness of fit-chi-square distribution and student 't' distributions application oriented problems. Design of experiments.     5+5+5=15hr

4.Theory of Reliability:

Introduction - mean time failure (MTTF) mean time between failure (MTBF) - failure rate - reliability and probability - normal failure law - exponential failure - weibull. failure law.
5 hrs

5. Optimization Basic concepts and classification of optimization problems - linear programming - graphical and simplex method' (ordinary and dual) -degeneracy
5 hr.

6. Calculus of Variations:

Euler's equation of a functional - derivation - its solution -geodesics - Isopermetric problems -Several dependent variables - functionals involving higher order: derivatives - approximate solution of boundary value problem -Rayleigh - Ritz method.       5 hrs

'
References

1. Dr. B.S. Grewal "Higher Engineering Mathematics"
2. Warthikar and Wartikar "Applied Mathematics" Vol. I & II.
3. Dhawan and Srivastava "Higher Engineering Mathematics"
4. H.K. Dass "Advanced Engineering Mathematics"
5. T.B.Prasad "Practical Engineering Mathematics"
6. N.P.Bali "Engineering Mathematics"
7. Sajaj and Gupta "Statistic and Probability"
8. Shaliane "Engineering Mathematics"
9. M.K.Venkataraman "Engineering Mathematics", Vol. 1 to VII
10. S.S. Shastri "Numerical Analysis"
11. Grezyg "Advanced Engineering Mathematics"
12. Walpole and Mayor "Probability and Statistics for Engineers"
13. S.D. Sharma "Operational Research"

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                                  ME-402 THEORY OF MACHINES - I

Hours per week:04               Total Hours 50
I.A.Marks: 25
Exam Marks: 100

Definitions:

Link or element, pairing of elements with degrees of freedom, Grubler's criterion (without derivation), Kinematics chain, Mechanism, Mobility of Mechanism, Inversions, Machine.

Kinematics Chains and Inversions:

Kinematics chain with three lower pairs, with four lower pairs, four bar chain, single slider crank Chain & double slider crank chain and their inversions.

Other Mechanisms:

1. Quick return motion mechanisms - Drag link mechanism, whitworth mechanism and crank & slotted lever mechanism.
2. Straight line motion mechanisms - Peacellier's mechanism and Robert's mechanism.
3. Intermittent motion mechanisms - Geneva mechanism and Ratchet & Pawl mechanism.
4. Toggle mechanism, Pantograph, Hooke's joint, and Ackermann steering gear mechanism.     10 hrs


Velocity:

Motion, types of motion, determination of velocity in mechanism by relative velocity method, relative velocity of coincident points or separate links.

Instantaneous Centers:

Definitions, three-centers-in-line theorem and its application to locate number of instantaneous centers. Determination of velocity by instantaneous center method.

Acceleration:

Determination of acceleration in mechanisms by relative acceleration method. Relative acceleration of points on a common link and of coincident points on separate links. Coriolis component of acceleration. KLEIN's construction for slider-crank mechanism.

(NOTE: Complex mechanisms are not included in velocity an acceleration analysis).

Velocity and Acceleration Analysis - Analytical Approach Introduction, velocity and acceleration analysis using complex algebra (Raven's approach) - slider crank mechanism and four bar mechanism.      
04 Hrs

Belt and Rope Rives: (Both flat & V belts)

Ratio of tensions:

Centrifugal stress in a belt and rope, power transmitted, maximum power transmitted by belt or rope. Effect of centrifugal tension on power transmitted Use of gravity rollers.
04 hrs

Toothed Gearing:

Law of gearing Spur Gears:

Definitions, cycloidal teeth, involutemetry, involute functions, involute rack and pinions, path of contract, arc of contact, contact ratio, interference in involute gears. Methods of avoiding interference. Determination of back lash

Helical Gears; Belel Gears & Worm & Worm Wheel:

Nomenclature, gear force components both for driver and driven wheels (Numerical problems of super gears only)        8 hrs

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 hrs

Cams:

Types of cams, types of followers, displacement, velocity and acceleration time curves cam profiles. Disc cam with reciprocating follower having knife-edge end, having roller end. Disc cam with reciprocating flat faced follower. Disc cam with oscillating follower. Positive return cams cylindrical cans. Follower motions, including SHM uniform velocity, uniform acceleration & retardation and cycloidal motion.

QUESTION PAPER PATTERN

(i) Eight questions have to be set covering all the chapters. Students have to answer any five full questions.

(ii) Graphical questions have to be necessarily answered on the drawing sheets only.

TEXT BOOKS:

(i) Theory of machines & mechanisms by J V Shigley & J0hn Joseph Vicker. Jr.
Pub: McGraw Hill International Edition
Edn: 2nd - 1995
(ii) Theory of Machines by Thomas Bevan
(iii) Mechanism and Dynamics of Machinery - Mabi -Rainholz

REFERENCE BOOKS:

(i) Mechanisms and dynamics of machinery by Mobie -R…
(ii) Theory of Machines by S.S.Rattan, TATA McGraw Hill
(iii) Theory of Machines by Ghosh & Mallik
(iv) Mechanisms & Machine Theory Ashok C Ambekar Jam Brothers (New Delhi) Edn: 1995
(v) Mechanism and Dynamics of Machinery -J.S Rao

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                                 ME -403 - MANUFACTURING PROCESS -II

Hours per week: 04        I.A.Marks: 25
Total Hours 50                Exam Marks: 100


01. Theory of Metal Cutting:

Tool nomenclature, geometry of single point cutting tool. Orthogonal and oblique cutting. Mechanism of chip formation, types of chips, cutting speed, feed, depth of cut and their selection. Merchants circle diagram with tool failure & tool wear, tool life, Taylor's tool-life equation (problems on Merchant circle diagram & tool-life equation). 10 hrs


02. Cutting tool materials & cutting fluids:

Properties of cutting Tool materials, types of cutting tool materials - HSS, ceramic, carbides. Properties of cutting fluids, types of cutting fluids.   04Hrs


03. Production Lathes:

Classification of lathes, Capstun & Turret lathes - Constructional features, tool layout, tool & work holding devices.    04 hrs

03. Drilling Machines:

Classification, Constructional features & operations. Tool & work holding devices. Types of drill & their nomenclature.     04 hrs

04. Shaping & slotting:

Classification, constructional features,Specifications driving mechanisms, operations, tool & work holding devices (Simple numerical examples involving feed, length of stroke and machining time).     04 hrs

05. Planning machines:

Classification, constructional features, specifications, driving mechanisms, operations, tools & work holding devices.     04 hrs

07. Milling Machines:

Classification, constructional features, specifications, types of milling rn/c milling cutters with nomenclatures. Milling operations like up milling, down milling, gang milling, slab milling.

Indexing : Purpose of indexing, simple, compound, differential & angular indexing calculations and problems.                                     10 hrs

08. Grinding Machines:

Classification, Constructional features, operations & specifications. Types of grinding rn/c - surface, cylridrical & centreless.                    05 hrs

09. Gear hobbing & broaching machines:

Construction & principle of operations 02 hrs

10. Superfinishing Processes:

Lapping, honing, polishing & superfinishing. 03 hrs

Reference books:
1. Campbell - Principles of manufacturing materials and processes - TMH
2. B H Amsted & Begman - Manufacturing processes
3. Lindberg - Materials & manufacturing processes
4. HMT - Production technology - TMH
5. Benjamin Wee Niebel - Modem manufacturing process engineering, McGraw Hill Co., New Delhi.
6. Manufacturing Processes - Munoz & Optiz, Wiley Publications

Question Paper Pattern:
8 Questions each carrying 20 marks be set covering entire syllabus. Any five Full questions be answered.

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.                   ME 404- METROLOGY & INSTRUMENTATION

I.A.Marks:25                 Hours per week:04
Exam Marks: 100          Total Hours : 50


01. Standards of Measurement:

Standards of length - international prototype meter, imperial standard yard, wave length standard. Line & end standards                 03 hrs

02. Limits & limit Gauging:

Limits & tolerances. System of limits & fits, BIS classes of fits- clearance fit, interference fit, transition fit. Selection of fits, linut gauges plug gauges, gap gauges, gauge tolerance Taylor's theory, Design of 'go' & 'No go' gauges. Interchangeability & Selective assembly.       07 hrs

03. Comparators:

Mechanical, optical, pneumatic, electrical & electronic comparators, their construction, working principle & applications (Jhonson's Microkrater, Brook-level comparator, Sigma comparator, Mechanical-Optical comparator).                               06 hrs

04. Angular Measurements:

Bevel, universal protractors, sine bars, angle gauges, clinometer, autocollimeter, taper gauges.
03hrs

05. Screw threads:

Terminology, measurement of major dia, pitch dia using 2-wire & 3-wire methods, Tool-makers microscope.          04 hrs

06. Gear measurement:

Terminology, general test, use of gear tooth micrometer, gear-tooth vernier.      02 hrs

07. Measurements & measurement systems:

Significance of measurement systems, generalized measuring system, basic concepts like accuracy precession, sensitivity, threshold, resolution hysteresys, repeatability linearity, loading effect, input impedance, system response, time delay. Errors in measurements, classification of errors. 5hrs

08. Transducers:

Mechanical, electrical, electronic transducers, advantages & disadvantages.      4hrs

9. Measurement of force & torque:

Introduction, analytic balance, platform balance, proving ring. Torque measuremei using prony brake dynamometer hydraulic dynamomete electrical dynamometer.         5hrs

10. Pressure measurement:

By using elastic members Bridgeman gauge, Mcleod gauge & Pirani gauges.     04 hrs

11. Temperature Measurement:

Resistance thermometer, thermocouple laws & thermocouple thermometers, radiatic pyrometer, pressure thermometer.                    04 hrs

12.Strain Measurement:

Strain gauges, brief treatment regardir preparation & mounting of strain gauges. Null-balance deflection methods of strain measurements.               03 hrs

Reference Books:
1. Mechanical measurements by Beckwith & Buck
2. Mechanical measurements by Holeman
3. Mechanical measurements by Doblin
4. Engineering Metrology by R K Jam
5. Metrology by Chopman

Question Paper Pattern:

8 Questions each carrying 20 marks be set covering entir syllabus. Any five Full questions be answered.

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                              ME 405- FLUID MACHINES & SYSTEMS


Hours per week:04                I.A.Marks:25
Total Hours: 50                      Exam Marks:100

01.Introduction:

Definition, comparison between turbomachines and positive displacement machines, application of first and second law of thermodynamics to turbomachines, efficiencies of turbomachines. 4 hrs

02. Principles of Hydraulic Machines:

Dynamic action of fluid -Newton's Law of Motion - Linear momentum equation -Impulse momentum - Impact of jets (stationery & moving, flat and curves plate) Angular momentum equation - Euler Turbine equation.            5hrs

03. Impulse Hydraulic Turbine (Pelton Turbine):

Classification of Hydraulic Turbines - Pelton Turbine components, functions Calculation of vane angles and design - Calculation of force, torque, power and efficiency - Impulse turbine characteristics goveming.               4 hrs

04. Reaction Hydraulic Turbines:

Introduction of Francis Kaplan Turbines - Components of Turbines - Draft tubes (types, theory) - Calculation of force, torque, power, blade angles and efficiencies of Turbines, Cavities in turbines - Reaction turbine characteristics, goveming. 8 hrs

05.Reciprocating Pumps:

Introduction - Classification - Working principal of Reciprocating pump types, slip, coefficient of discharge - Rate of delivery - Velocity and Acceleration of water in Reciprocating pumps - pumps speed - Indicator diagrams - Air vessels Variation of pressure in cylinder on section and delivery strokes with air vessel - Theoretical power required to drive the pump fitted with air vessels on suction and delivery sides - Work saved by fitting air vessels -discharge in out of air vessels. 6hrs


06. Centrifugal Pumps:

Definition - Working principle -Classification, Layout and priming of Centrifugal pump - Head, power & efficiency of pump - Fundamental equation of Centrifugal pump - Work done & manometric efficiency -Pressure rise in pump impeller, manometer head, Minimum starting speed of Centrifugal pump - efficiency of pump -Overall head coefficient, speed ratio - Impeller design - Types of casing - Cavitations - Net positive Suction head -Characteristics. 06 hrs

07. Unit & Specific Quantities:

Unit quantities (Unit rate of flow, unit speed, unit power), Specific speed of turbines - Selection of Turbines. Similarity conditions of model and prototype of Hydraulic Turbines & pumps. 04 hrs

08. Hydraulic Systems:

Brief descriptions of hydraulic press, Crane, Life, pressure accumulator, Intensifier, Hydraulic coupling, its characteristics and types - Hydraulic Torque converter, its characteristics and uses - Use of fluid power in automobiles.                  05 hrs

09. Steam Turbines:

Types of steam turbines, compounding of steam turbine, effect of blade friction on velocity impulse turbine with several blade rings, velocity diagrams for implies and reaction turbines, condition for maximum efficiency in steam turbines, reheat factor in steam turbine. 08 hrs

Reference Books:

1. Hydraulic Machines by Dr Jagadish Lal
2. Fluid Mechanics and Fluid power engineering by Dr D S Kumar
3. Energy Conversion Vol - III by Kadambi Prasad
4. Fluid Flow Machines by N S Govindrao
5. Fluid mechanics & Fluid Flow Machines by Dr R K Bansal
6. Elements of Heat Engines Vol 2 by R C Patel and C J Karam Chandini
7. A Course in thermodynamics and Heat Engines by DrC P Kothandaraman, P R Khajuria and SC Arora

. Question Paper Pattern:

8 Questions each carrying 20 marks be set covering entire syllabus. Any five Full questions be answered.

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                   ME 406- FLUID MECHANICS & FLUID MACHINES LAB



Hours/ Week: 3                        IA. Marks : 25
Exam. Marks:100

01. Determination of friction factor in pipes.
02. Determination of coefficient of discharge of venturimeter, orifice meter
03. Determination of coefficient of discharge of Notches
04. Determination of major and miner losses (bend, sudden expansion, sudden contraction, entry & exit) in pipes.
05. Determination of metacentric height of ship
06. Reynolds experiment
07. Flow visualization studies.

GROUP - B
01. Impact ofjets on Flat, inclined & hemispherical vanes
02. Main characteristics of Pelton wheel, Francis turbine, Kaplan turbine & Centrifugal Pump
03. Operating characteristics of Pelton wheel, Francis turbine, Kaplan turbine & Centrifugal pump 04. Drawing of iso-efficiency curves for Pelton wheel, Francis turbine, Kaplan turbine & Centrifugal Pump
05. Performance of reciprocating pump, Vanelgear pump.

Note : Minimum 80% of above experiments from group A & B should be conducted separately.

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                      ME 407 METROLOGY & INSTRUMENTATION LAB

Hours/Week: 3
I.A. Marks : 25                    Exam. Marks : 100


Metrology



01. Measurement of Thread Profile using tool makers microscope
.
02. Measurement of Angle by using
1) sine bar
2) sine centre
3) bevel protractor
4) Auto collimeter

03. Measurement of Gear tooth profile using gear tooth vernier/ge tooth micrometer.

04. Measurement of forces by
(1) lathe tool dynamometer
(2) drill tool dynamometer

05. Acceptance test by using electronic comparator

06. Measurement of thread terminology using profile projector

07. Measurement of external taper using standard roller set

08. Measurement of effective diameter by using three wire method

09. Measurement of internal dia using any one of the following:
(a) Telescopic gauge
(b) Bore gauge

10. Measurement of surface roughness Instrumentation

11. Measurement of strain & gauge factor, young's Modulus

12. Calibration of load cell & pressure gauge

13. Measurement of torque and rigidity modulus using strain gaug

14. Calibration of "Thermocouples"

15. Speed measurement using 'stroboscope'

16. Phase & frequency measurement using CRO

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                                           ME 408 COMPUTER AIDED DRAFTING


Hours/ Week: 3                    I.A. Marks :25
Exam.Marks: 100


1 Study of graphic package, creation of drawings of simple machin part, two dimensional and three dimensional - three sheets each

2.Simple assembly of machine parts - minimum four sheets

3.Writing specification, Dimensioning and Bill of material.

4.Creation of simple two dimensional drawing using C language an integrating it with graphic package using D & F files - minimum two sheets

5 .Writing complete programs for simple two dimensional and three dimensional transformations of line, plane figures and simp geometry solids.

REFERENCES:

1 Machine drawing - K.R.Gopala Krishna
2.Machine drawing - K.L.Narayan
3.Machine drawing - N.D.Bhatt
4.CAD I CAM - Ibrahim zaid, Tata Mc-Graw Hill
5 Principle of Interactive computer graphics - Newman & Sporul
6.'C' language - E.Balaguruswamy
7.Auto CAD 14 - Cohn TMA
8 Teach yourself Autd CAD by GlBB
9.Auto CAD Release 13 - OMURA for WIN-95 I NT
l0.Auto CAD Release 14 -OMURA for WIN-95 I NT
11 Machine Drawing - CAD Communications by FRENCH McGraw Hill, International Edition.

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