# Automobile engineering Semester 6 Syllabus 2018

**Automobile engineering Semester 6 Syllabus 2018** – The 2018 syllabus semester 6 For Automobile Engineering in Mumbai University is of the Revised Course and has subjects similar to Electrical,Mechanical and Production Branch. Some of the important subjects are Machine Design,Automotive Systems,Numerical and theoretical Mathematics based like Finite element Analysis, Operations Research and Mechanical Vibrations.

Contents

### Automobile engineering Semester 6 Syllabus 2018 Credits

### Automobile engineering Semester 6 Syllabus 2018 Marks

## Automobile engineering Semester Syllabus 2018

## Automotive Systems

1. CLUTCHES

1.1 Function requirements

1.2 Types of single plate clutch

1.3 Clutch control systems

1.4 Clutch center plate construction

1.5 Direct release clutch

1.6 Centrifugally operated clutches

1.7 Multiplate clutches

1.8 Angle spring clutch

1.9 Wet clutch

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2. TRANSMISSION

2.1 Purpose and element of gear box

2.2 Constant mesh gear box

2.3 Sliding mesh gear box

2.4 Synchromesh gear box

2.5 Gear selector mechanism

2.6 Heavy vehicle gear boxes

2.7 Fluid coupling and torque convertors

2.7.1 Fluid coupling

2.7.2 Torque converters

2.8 Epicyclic gear box operation

2.9 Semi – Automatic and Automatic transmission

2.9.1 Hydraulic control systems

2.9.2 Electro hydraulic control systems

2.9.3 Automatic layshaft gear boxes

2.9.4 Dual mode transmission with sequential gear change

2.9.5 Direct shift gear boxes

2.9.6 Over drive gears

2.9.7 Continuously variable transmissions

2.10 Electric drives

2.10.1 General arrangement and description of electric

transmissions

2.10.2 Working principle and control

2.10.3 Advantages and limitations of electric drives

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University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

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3. DRIVE LINES

3.1 Drive Lines

3.1.1 Universal joints

3.1.2 Constant velocity joints

3.1.3 Propeller shaft construction

3.1.4 Drive line arrangement

3.1.5 Rear-wheel drive and front-wheel drive layouts

3.1.6 Front-wheel drive shafts

3.1.7 Tandem axle drive for heavy vehicles

3.1.8 Drive lines for public service vehicles

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4

4. FINAL DRIVE AND REAR AXLES

4.1 Final drive gears and bearings

4.2 Differential gears

4.3 Differential- All types

4.4 Rear axle construction

4.5 Heavy vehicle rear axle

4.6 Four wheel drive systems

4.6.1 Basic consideration of four wheel drive

4.6.2 Part time four wheel drive

4.6.3 Full time four wheel drive

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5

5. BRAKING AND SUSPENSION SYSTEMS

5.1 Braking System

5.1.1 Hydraulic brake systems

5.1.2 Air brake systems

5.1.3 Endurance brake systems

5.2 Suspension System

5.2.1 Basic ride considerations

5.2.2 Types of suspension systems

5.2.3 Types of suspension spring

5.2.4 Tandem axle suspension

5.2.5 Shock dampers

5.2.6 Adaptive suspension systems

5.2.7 Active roll control systems

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6

6. STEERING , TYRES, ROAD WHEELS AND HUBS

6.1 Steering systems

6.1.1 Steering principles and layout

6.1.2 Front end geometry and wheel alignment

6.1.3 Steering and suspension ball joints

6.1.4 Manual steering gears

6.1.5 Steering axles for heavy vehicles

6.1.6 Hydraulic power-assisted steering

6.1.7 Speed-sensitive hydraulic power-assisted steering

6.1.8 Electro-hydraulic power-assisted steering

6.1.9 Electrical power-assisted steering

6.1.10 Types of four-wheel steering

6.2 Tyres, Road wheels and Hubs

6.2.1 Introduction to Tyre characteristics

6.2.2 Tyre construction

6.2.3 Road wheels and hubs

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University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

**List of Assignments/Practical’s**

Study of cut section models covering all the modules is

desirable.

1. Dismantling and reassembling of Clutch.

2. Dismantling and reassembling of Gear box.

3. Dismantling and reassembling of Propeller Shaft.

4. Dismantling and reassembling of Differential.

5. Dismantling and reassembling of Steering gear linkages and steering gear box.

6. Dismantling and reassembling of all types of braking systems.

**Case Studies**

Assign case studies for each student on any one of the following

topics:

1. Four wheelers: Light and Heavy vehicles (Passenger and Commercial)

2. Three wheelers: Case study of Indian models. Front mounted engine and

rear mounted engine types. Auto rickshaws, Pick up van, Delivery van and

Trailer, Bijili electric vehicle.

3. Two wheelers: Case study of major Indian models of major motor cycles,

scooters and mopeds.

4. Off Road Vehicles: Case study regarding working principle and construction of

each- Earth Moving Machines, Scrappers, Graders, Shovels and Ditchers,

Farm Equipment’s, Military and Combat Vehicles.

**Term Work**

Term work shall consist of

A. Assignments/ Practical’s as per list

B. Case Studies as above

The distribution of marks for term work shall be as

follows:

? Part A : 10 marks

? Part B : 10 marks

? Attendance (Theory and Practical) : 05 marks

The final certification and acceptance of term work ensures the satisfactory performance of

laboratory work and minimum passing in the term work.

**Practical/Oral examination**

1. Practical examination shall be conducted in a group of not more than 4 students.

Examination shall be based on dismantling and reassembling performed during the

semester.

2. Examiners are expected to evaluate each group and conduct oral based on the same

3. The distribution of marks for practical/oral examination shall be as follows:

iii. Practical performance …… 15 marks

iv. Oral …… ………………. .10 marks

4. Students work along with dismantling and reassembling evaluation report to be

preserved till the next examination

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

**Internal Assessment**

Assessment consists of two tests out of which; one should be compulsory class test (on minimum

40% of curriculum) and the other is either a class test (on minimum 70% of curriculum) or

assignment on live problems or course project.

Theory Examination

In question paper weightage of each module will be proportional to number

of respective lecture hours as mention in the syllabus.

1. Question paper will comprise of 6 questions, each carrying 20 marks.

2. Question number 1 will be compulsory and based on maximum contents of

the syllabus

3. Remaining questions will be mixed in nature (for example, if Q.2 has part (a)

from module 3 then part (b) will be from other than module 3)

4. Total four questions need to be solved.

**References**

1. Light and Heavy Vehicle Technology, M.J. Nunney, Elsevier, Fourth Edition.

2. Automotive Technology, Jack Erjavec, Cengage Learning, Fifth Edition.

3. Automotive Braking, Thomas W. Birch, Cengage Learning, Third Edition.

4. Motor Automotive technology, Anthony E. Schwaller, Delmar, Third Edition.

5. Automotive suspension and steering systems, Thomas W. Birch, Delmar Cengage

Learning, Third Edition.

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

## **Machine Design 1**

Mechanical Engineering Design, Design methods, Aesthetic and

Ergonomics consideration in design Material

properties and their uses in design

Manufacturing consideration in design

Design considerations of casting and forging

Basic principles of Machine Design, Modes of failures, Factor of safety,

Design stresses, Principal stresses and strains, Theories of failures

Standards, I. S. codes, Preferred Series and Numbers.

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Curved Beams: Assumptions made in the analysis of curved beams.

Design of curved beams: Bending stresses in curved beams, such as

crane hook, C-frame, etc.

Thick cylinders: Design of thick cylinders subjected to an internal

pressure using Lame’s equation.

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03

Design against static Loads:

Cotter joint, knuckle joint, Turn Buckle

Bolted and welded joints under eccentric loading.

Power Screw – Screw Presses, C- Clamps along with the Frame, Screw

Jack

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Design against Fluctuating Loads

Variables stresses, reversed, repeated, fluctuating stresses

Fatigue Failure

Static and fatigue stress concentration factors

Endurance limit – estimation of endurance limit

Design for finite and infinite life

Soderberg and Goodman design criteria

Fatigue design under combined stresses

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05

Design of shaft – power transmitting, power distribution shafts

Module (excluding crank shaft) under static and fatigue criteria.

Keys – Types of Keys and their selection based on shafting condition.

Couplings- Classification of coupling. Design of Split muff couplings,

Flange couplings, Bush pin flexible couplings

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Course Code Course/Subject Name Credits

AEC602 Machine Design-I& 4+1

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

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06

Design of Springs:

Helical compression, tension springs under static and variable loads,

Leaf springs.

**List of Assignments**

Design exercises in the form of design calculations with sketches and or

drawings on following machine system

1. Knuckle joint,

2. Turn Buckle

3. Screw Jack

4. Flexible flange couplings

Term Work

Term work shall consist of

A. Minimum 3 design exercises from the list which may include computer aided drawing on

A3 size sheets

B. Stress analysis of any machine element mentioned in the syllabus using

any application software and programming language

The distribution of marks for term work shall be as

follows:

? Part A : 15 marks

? Part B : 05 marks

? Attendance (Theory and Practical) : 05 marks

The final certification and acceptance of term work ensures the satisfactory performance of

laboratory work and minimum passing in the term work.

**Internal Assessment**

Assessment consists of two tests out of which; one should be compulsory class test (on minimum

40% of curriculum) and the other is either a class test (on minimum 70% of curriculum) or

assignment on live problems or course project.

**Theory Examination**

In question paper weightage of each module will be proportional to number of

respective lecture hours as mention in the syllabus.

1. Question paper will comprise of 6 questions, each carrying 20 marks.

2. Question number 1 will be compulsory and based on maximum contents of

the syllabus

3. Remaining questions will be mixed in nature (for example, if Q.2 has part (a)

from module 3 then part (b) will be from other than module 3)

4. Total four questions need to be solved.

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

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NOTE:

Use of standard design data books like PSG Data Book, Design Data by

Mahadevan is permitted at the examination and shall be supplied by the college.

**References**

1. Design of machine elements — V. B. Bhandari. Tara Mc-Graw Hill Pub.

2. Design of machine elements — Sharma,Purohit. Prentice Hall India Pub.

3. Machine Design – An Integrated Approach — Robert L. Norton – Pearson Education.

4. Machine Design – Pandya & Shah- Charotar PI/blishing.

5. Mechanical Engineering Design – J. E. Shigley – McGraw Hill

6. Recommended Data Books – PSG, K. Mahadevan

7. Machine Design – Reshetov – Mir Publication

8. Machine Design – Black Adams-Mcgraw Hill

9. Fundamentals of Machine Elements – Hawrock, Jacobson Mcgraw Hill

10. Machine Design – Patel, Pandya, Sikh, Vol. – I & II, C. Jamnadas & Co. Educational

& Law Publishers

11. Design of Machine Elements – V.M. Faires

12. Design of Machine Elements – Spotts

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

**Mechanical Vibrations**

1. To study basic concepts of vibration analysis

2. To acquaint with the principles of vibration measuring instruments

3. To study balancing of mechanical systems

Outcomes: Learner will be able to…

1. Develop mathematical model to represent dynamic system

2. Estimate natural frequency of mechanical element/system

3. Analyze vibratory response of mechanical element/system

4. Estimate the parameters of vibration isolation system

Modules Details Hrs

01

1.1 Basic Concepts of Vibration : Vibration and oscillation, causes and

effects of vibrations, Vibration parameters – spring, mass, damper, Damper

models, Motion – periodic, non periodic, harmonic, non- harmonic, Degree

of freedom, static equilibrium position, Vibration classification, Steps

involved in vibration analysis.

1.2 Free Undamped Single Degree of Freedom Vibration System

Longitudinal, transverse, torsinal vibration system, Methods for

formulation of differential equations by Newton, Energy, Lagrangian and

Rayleigh’s Method,.

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02

2.1 Free Damped Single Degree of Freedom Vibration System : Viscous

damped system – under damped, critically damped, over damped;

Logarithmic decrement; Coulomb’s damping; Combined viscous and

coulomb’s damping.

2.2 Equivalent Single Degree of Freedom Vibration System :

Conversion of multi-springs, multi masses, multi – dampers into a single

spring and damper with linear or rotational co-ordinate system

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03

3.1 Free Undamped Multi Degree of Freedom Vibration System :

Eigen values and Eigen vectors for linear system and torsional two degree

of freedom; Holzer method for linear and torsional unbranched system;

Two rotors, Three rotors and geared system; Dunkerley’s and Rayleigh’s

method for transverse vibratory system

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04

4.1 Forced Single Degree of Freedom Vibratory System : Analysis of

linear and torsional systems subjected to harmonic force excitation and

harmonic motion excitation (excluding elastic damper)

4.2 Vibration Isolation and Transmissibility: Force Transmissibility,

Motion Transmissibility Typical isolators& Mounts

4.3 Rotor Dynamics: Critical speed of single rotor, undamped and

damped.

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05

5.1 Vibration Measuring Instruments:

Principle of seismic instruments, vibrometer, accelerometer – undamped,

damped

5.2 Introduction to Conditioning Monitoring and Fault Diagnosis.: Atleast

two case studies in detail based on Conditioning Monitoring and Fault

Diagnosis.

06

Course Code Course/Subject Name Credits

AEC603 Mechanical Vibration& 4+1

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

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06

6.1 Balancing

Static and dynamic balancing of multi rotor system, Balancing of

reciprocating masses In-line engines, V- engines (excluding radial Engines)

08

List of Experiments

1. Experimental prediction of natural frequency of compound pendulum, prediction of

equivalent simple pendulum system.

2. Experimental prediction of natural frequency for longitudinal vibrations of

helical springs, and springs in series and parallel

3. Experimental prediction of natural frequencies, and nodal points for single rotor

and two-rotor vibratory system, and comparison with theoretical results

4. Experimental and theoretical investigation of whirling of shaft (i.e. .

comparison of experimental and theoretical natural frequency and justification

of discrepancy between experiment and theory)

5. Experimental investigation of viscous and coulomb damping, prediction of

system parameter (spring stiffness, damping coefficient) from damped oscillations

6. Experimental and theoretical investigation of frequency response of

mechanical system, and comparing both and justification of discrepancy

between theory and experiments

7. Experiments’ on distributed parameter system: Transverse vibrations of beam

(Dunkerley’s Rule Expt.)

8. Experimental balancing of single and multi-rotor system.

9. Introduction to FFT analyzer, and prediction spectral response of vibrating

machine from workshop.

10. Experiments on vibration isolation system and prediction of force

transmissibility, motion transmissibility of system.

11. Vibration analysis of mechanical system using MATLAB

**Term Work**

Term work shall consist of minimum 8 experiments from the list and one assignment on each

module containing at least 5 numerical.

The distribution of marks for term work shall be as follows:

? Laboratory work (Experiments) : 10 marks

? Assignments : 10 marks

? Attendance (Theory and Practical) : 05 marks

The final certification and acceptance of term work ensures the satisfactory

performance of laboratory work and minimum passing in the term work.

**Internal Assessment**

Assessment consists of two tests out of which; one should be compulsory class test (on

minimum 40% of curriculum) and the other is either a class test (on minimum

70% of curriculum) or assignment on live problems or course project.

Oral examination

1. Oral examination shall be conducted based on term work and syllabus content

2. Examiners are expected to give small task or ask questions either to evaluate

understanding of basic fundamentals or to evaluate their capability of applying

basic theory to practical applications.

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

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Theory Examination

In question paper weightage of each module will be proportional to number

of respective lecture hours as mention in the syllabus.

1. Question paper will comprise of 6 questions, each carrying 20 marks.

2. Question number 1 will be compulsory and based on maximum contents of

the syllabus

3. Remaining questions will be mixed in nature (for example, if Q.2 has part (a)

from module 3 then part (b) will be from other than module 3)

4. Total four questions need to be solved.

**References**

1. Mechanical Vibrations 4th ed- S. S. Rao – Pearson Education

2. Mechanical Vibrations – G. K. Grover

3. Fundamentals of Mechanical Vibration – S.Graham Kelly – Tata McGraw Hill 4.

4. Vibration Analysis – P. Srineevasan – Tata McGraw Hill

5. Mechanical Vibrations – Schaum’s outline series – S.Graham Kelly- McGraw Hill

1. Mechanical Vibrations – Schaum’s outline series – William W. Seto- McGrmvHill .

2. Theory and Practice of mechanical vibrations – J. S. Rao, K. Gupta – New Age

International Publications.

3. Mechanical Vibrations – Den; Chambil, Hinckle

4. Mechanical Vibrations, J.P. Den Hartog, McGrawhill Book Company Inc.

5. Leonard Meirovitch, Introduction to Dynamics and Conti’oJ. Wiley, New York,

6. Leonard Meirovitch, Elements of Vibration Analysis. McGrmv-Hill, New York,

7. Leonard Meirovitch, Dynamics and Control of Structures. Wiley, New York. 4.

Antony J. Pettofrezzo, Matrices and Transformations. Dover, New

York.

8. Benson H. Tongue, Principles of Vibration. Oxford University Press.

9. W. Thomson, Theory of Vibrations with Applications, Second Edition, Pearson

Education

10. Vibrations-BalakumarBalachandan, Edward Magrab, CENGAGAE Learning.

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

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## Thermal and Fluid Power

Steam Generators

Fire tube and Water tube boiler, Low pressure and high pressure boilers,

once through boiler, examples, and important features of HP boilers,

Mountings and accessories. Layout of a modern HP boiler. Equivalent

evaporation of boilers. Boiler performance. Boiler efficiency

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02

Steam Nozzle and Turbines

Flow through steam nozzle-velocity at exit and condition for maximum

discharge, nozzle efficiency

Steam Turbine- Basic of steam turbine, Classification, compounding of

turbine, Impulse turbine – velocity diagram. Condition for max efficiency.

Reaction turbine – velocity diagram, degree of reaction, Parson’s turbine.

Condition for maximum efficiency

10

03

Impact of Jets and Water Turbines

Impact of jet on flat and curved plates

Types of hydro turbines – impulse and reaction, definition of various

turbine parameters like gross head, discharge, work done, input power,

output power, efficiencies etc., Eulers’ equation applied to a turbine,

turbine velocities and velocity triangles, expression for work done.

Pelton Turbine:

Components of Pelton turbine, definition of design parameters like speed

ratio, jet ratio, and estimation of various parameters like head, discharge,

and efficiency etc., determination of number of buckets.

Reaction Turbines:

Types of reaction turbines – inward and outward flow, radial mixed and

axial; elements of the turbine, estimation of various parameters.

Similarity relations in turbines, definition of unit quantities and specific

quantities, selection of turbines. Prediction of results of prototypes from

the model test.

Cavitations in turbines – causes, effects and remedies, Thoma’s cavitations

parameter G. Use of G v/s specific speed graphs. Determination of safe

height of installation for the turbine.

Characteristics of turbines, governing of turbines.

06

05

Gas Turbines

Applications of gas turbine, Actual Brayton cycle, open and closed cycle

gas turbine, methods to improve efficiency and specific output, open cycle

with intercooling, reheat, and regeneration. Effect of operating variable on

thermal efficiency and work ratio,

08

06

Jet Propulsion Engines

Classification of jet propulsion engines, Thrust, Thrust power, Propulsive

efficiency and thermal efficiency, Afterburner, Introduction to Turbojet,

Turbofan, Ram jet, Turboprop and Rocket engine

06

**List of Experiments**

1. Study/Demonstration of Boilers

2. Study/Demonstration of Boiler mountings and accessories

3. Study of Steam Turbine

4. Trial on Impulse turbine

5. Trial on reaction turbine

6. Study of gas turbines

7. Study of Jet propulsion engines

8. Visit to Thermal Power Plant/Hydroelectric Power Plant/Gas Turbine Power Plant

**Term Work**

Term work shall consist of minimum 6 experiments from the list, 3 assignments containing

numerical based on maximum contents of the syllabus and a visit report

The distribution of marks for term work shall be as follows:

? Laboratory work (Experiments) : 10 marks

? Assignments : 05 marks

? Visit report: 05 Marks

? Attendance (Theory and Practical) : 05 marks

The final certification and acceptance of term work ensures the satisfactory performance of

laboratory work and minimum passing in the term work.

Internal Assessment

Assessment consists of two tests out of which; one should be compulsory class test (on minimum

40% of curriculum) and the other is either a class test (on minimum 70% of curriculum) or

assignment on live problems or course project.

**Theory Examination**

In question paper weightage of each module will be proportional to number of respective

lecture hours as mention in the syllabus.

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

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1. Question paper will comprise of 6 questions, each carrying 20 marks.

2. Question number 1 will be compulsory and based on maximum contents of the

syllabus

3. Remaining questions will be mixed in nature (for example, if Q.2 has part (a) from

module 3 then part (b) will be from other than module 3)

4. Total four questions need to be solved.

**References**

1. Practical Boiler Operation Engineering and Power Plant, A R Mallick, 3rd ed, PHI

Learning

2. Thermal Engineering, Ballaney, Khanna Publishers, Reprint 1994

3. Thermal Engineering, Kothandraman, Domkundwar, Khajuria, Arora, Dhanpatrai& Sons.

4. Turbines, Compressors & Fans, S M Yahya, TMH

5. Thermal Engineering, R K. Rajput, Laxmi Publication

6. Steam and gas turbine, R Yadav

7. Fluid Mechanics and Hydraulic Machinery, Modi and Seth, Standard Book House

8. Hydraulic Machinery, JagdishLal

9. Hydraulic Machines, Vasandani

10. Fluid Mechanics and Machinery-B C S Rao, McGraw Hill

11. Fluid Mechanics and hydraulic Machines,Gupta, Pearson Education

12. Principles of Thermodynamics, H.A. Sorensen, Amerimal Publications, 1972.

13. Applied Thermodynamics for Engineers and Technologists, Eastop and Mcconky

Longman,1978

14. Hydraulic Turbines – Nechleba

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

16

Course Code Course/Subject Credits

**Operations Research **

Linear Programming

Problem Formulation, Graphical Method, Simplex Method – Artificial

Variable Techniques – Big M- Method, Two Phase Method – Duality –

Dual Simplex Method.

06

02

Transportation Problem

Formulation – Solution by North West corner rule, Row Minima

Method, Matrix Minima Method, Vogel’s Approximation Method –

Optimality by MODI Method – Unbalanced Transportation Method –

Degeneracy.

Assignment

Formulation – Optimality by Hungarian Method, Travelling Salesman

Problem.

06

03

Queuing Models

Introduction, Poisson Arrivals – Exponential Service – Single Channel

with Finite and Infinite Population.

Game Theory

Introduction, Maximin & Minimax Principle, Graphical Method (2 x m

& n x 2) matrix – Method of Dominance – Method of Marices.

06

04

Project Management

Phases of Project Management, Network construction, Critical Path

Method, Project Evaluation & Review Technique – Resource AnalysisResource

Leveling.

06

05

Inventory Control

Introduction – Deterministic Model – Instantaneous demand with &

without shortage- Models with one and Multiple price break.

Simulation

Definition, Types of Simulation Models – Monte Carlo Technique –

Practical Problems – Applications in Inventory & Queuing problems.

06

06

Decision Theory

Introduction – Decision Making Environment – Decision Under

Uncertainty, Criterion of Pessimism, Criterion of Optimism, Laplace

Criterion, Hurwitz Criterion, Criterion of Regret – Decision Making

Under Risk, Expected Monetary Value (EMV) Criterion, Expected

Opportunity Loss (EOL) Criterion – Decision Tree.

06

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

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**Term Work**

Term work shall consist of minimum 06 assignments, at least one from each module.

Introduction of software is desirable.

The distribution of marks for term work shall be as follows:

? Assignments : 20 marks

? Attendance (Theory and Practical) : 05 marks

The final certification and acceptance of term work ensures the satisfactory performance of

laboratory work and minimum passing in the term work.

**Internal Assessment**

Assessment consists of two tests out of which; one should be compulsory class test (on minimum

40% of curriculum) and the other is either a class test (on minimum 70% of curriculum) or

assignment on live problems or course project.

**Theory Examination**

In question paper weightage of each module will be proportional to number of

respective lecture hours as mention in the syllabus.

1. Question paper will comprise of 6 questions, each carrying 20 marks.

2. Question number 1 will be compulsory and based on maximum contents of the

syllabus

3. Remaining questions will be mixed in nature (for example, if Q.2 has part (a) from

module 3 then part (b) will be from other than module 3)

4. Total four questions need to be solved.

**References**

1. R. Pannerselvam, Operations Research: PHI Publications.

2. N.D. Vohra, Quantitative Technique in Management: Tata McGraw Hill Education

Pvt. Ltd.

3. S.S. Rao, Optimization: Theory and Applications, New Age International Pvt. Ltd.

4. Introduction to Operations Research, Taha, Pearson Education

**Finite Elements Analysis**

Module Detailed Contents Hrs.

01

Introduction

1.1 Introductory Concepts: Introduction to FEM, Historical Background,

General FEM procedure. Applications of FEM in various fields.

Advantages and disadvantages of FEM.

1.2 Mathematical Modeling of field problems in Engineering, Governing

Equations, Differential Equations in different fields.

1.3 Approximate solution of differential equations– Weighted residual

techniques, Least squares, Galerkin methods, Boundary Value

problems.

06

02

FEA Procedure

2.1 Discrete and continuous models, Weighted Residual Methods – Ritz

Technique – Basic concepts of the Finite Element Method.

2.2 Definitions of various terms used in FEM like element, order of the

element, internal and external node/s, degree of freedom, primary and

secondary variables, boundary conditions.

2.3 Minimization of a functional. Principle of minimum total potential.

Piecewise Rayleigh-Ritz method. Formulation of “stiffness matrix”;

transformation and assembly concepts.

06

03

One-Dimensional Problems

3.1 One Dimensional Second Order Equations – Discretization – Element

types- Linear and Higher order Elements – Derivation of Shape

functions and Stiffness matrices and force vectors.

3.2 Assembly of Matrices – solution of problems in one dimensional

structural analysis, heat transfer and fluid flow (Stepped and Taper

Bars, Fluid Network, Spring-Cart systems)

3.3 Analysis of Plane Trusses, Analysis of Beams.

3.4 Solution of one Dimensional structural and thermal problems using FE

Software, Selection of suitable Element Type, Modeling, Meshing,

Boundary Condition, Convergence of solution, Result analysis, Case

studies.

06

Course Code Course/Subject Name Credits

AEC606 Finite Element Analysis& 3+1

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

19

? Laboratory work (experiments/assignments): 10 Marks.

? Course project: 10 Marks.

? Attendance: (Theory and Practicals): 05 Marks

04

Two Dimensional Finite Element Formulations

4.1 Introduction, Three nodded triangular element, four nodded

rectangular element, four nodded quadrilateral element, eight nodded

quadrilateral element.

4.2 Natural coordinates and coordinates transformations: serendipity and

Lagranges methods for deriving shape functions for triangular and

quadrilateral element

4.3 Sub parametric, Isoperimetric, super parametric elements.

Compatibility, Patch Test, Convergence criterion, Sources of errors.

06

05

Two Dimensional Vector Variable Problems

5.1 Equations of elasticity – Plane stress, plane strain and axisymmetric

problems.

5.2 Jacobian matrix, stress analysis of CST and four node Quadratic

element

5.3 Solution of 2-D Problems using FE Software (structural and Thermal),

selection of element type, meshing and convergence of solution. (Can

be covered during practical hours).

06

06

Finite Element Formulation of Dynamics and Numerical Techniques

6.1 Applications to free vibration problems of rod and beam. Lumped and

consistent mass matrices.

6.2 Solutions Techniques to Dynamic problems, longitudinal vibration

frequencies and mode shapes. Fourth Order Beam Equation,

Transverse deflections and Natural frequencies of beams.

6.3 Finding frequencies of beam using FE Software (Can be covered

during practical hours).

06

**List of Assignment**

Students should use the commercial software or programmes from the text-books or

self- developed programs, to verify the results obtained by manual calculations. The

input data and output results of the problem solved using the computer programs should

be included in the Journal. The proposed list is as given below;

1 Any two problem using bar element

2 Any two problems using truss element

3 Any two problems using CST element

4 Any one problem using axisymmetric element

5 Any one problem of free vibration analysis using bar element

6 Any one problem on Steady State Heat conduction.

**Course Project**

A group of not more than four (04) students, shall do Finite Element Analysis

of any mechanical engineering element/system, which involves element selection,

assigning properties, meshing, assigning loads and boundary conditions, analysis and

result interpretation.

**Term Work**

Term work shall consist of minimum 06 assignments and course project. The

distribution of marks for term work shall be as follows:

University of Mumbai, Automobile Engineering (Third Year) Revised Course (Rev-2012)

20

The final certification and acceptance of term work ensures the satisfactory

performance of laboratory work and minimum passing in the term work.

**Internal Assessment**

Assessment consists of two tests out of which; one should be compulsory class test (on

minimum 40% of curriculum) and the other is either a class test (on minimum 70% of

curriculum) or assignment on live problems or course project.

**Practical/Oral examination**

1. Practical examination duration is 2 hours.

2. Assignment for the examination shall be based on the list of assignment mentioned in

the term work.

3. The distribution of marks for practical/oral examination shall be as follows:

i. Practical performance: 15

marks ii. Oral:

10 marks

4. Evaluation of practical examination to be done based on the experiment performed and

the output of the experiments during practical examination.

5. Students work along with evaluation report to be preserved till the next examination

**Theory Examination**

In question paper weightage of each module will be proportional to number

of respective lecture hours as mention in the syllabus.

1. Question paper will comprise of 6 questions, each carrying 20 marks.

2. Question number 1 will be compulsory and based on maximum contents of

the syllabus

3. Remaining questions will be mixed in nature (for example, if Q.2 has part (a)

from module 3 then part (b) will be from other than module 3)

4. Total four questions need to be solved.

**References**

1. Seshu. P. “Textbook of Finite Element Analysis” Prentice Hall of India, 2003.

2. J.N. Reddy, “Finite Element Method” Tata McGraw Hill, 2003.

3. Chandrupatla and Belegundu, “Introduction to Finite Elements in Engineering” 4th Ed

Pearson Education, 2012.

4. Logan. D.L. “A first course in Finite Element Method”, Thomson Asia Pvt. Ltd., 2002.

5. Cook R.D., Malkus. D.S. Plesha, ME., “Concepts and Applications of Finite Element

Analysis”, John – Wiley Sons 2003.

6. S.S. Rao, “The Finite Element Method in Engineering “Butter worth Heinemann, 2001.

7. M. Asghar Bhatti, “Fundamental Finite Element Analysis and Applications with Mathematica

and MATLAB Computations”, Wiley India Pvt. Ltd.