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.

 

Automobile engineering Semester 6 Syllabus 2018 Credits

Automobile engineering Semester Syllabus 2018

Automobile engineering Semester 6 Syllabus 2018 Marks

Automobile engineering Semester Syllabus 2018

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
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
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
05
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
05
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
07
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.
06
02
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.
06
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
12
04
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
06
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
11
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,.
08
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
08
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
09
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.
09
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
08
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)
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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.