### APPLIED MATHEMATICS

Sub Code : 14MAU11

IA Marks : 50

Hrs/ Week : 04 Exam Hours : 03

Total Hrs. : 50 Exam Marks : 100

**Course Objectives:**

The main objectives of the course are to enhance the knowledge of various methods in finding the roots of an algebraic, transcendental or simultaneous system of equations and also to evaluate integrals numerically and differentiation of complex functions with a greater accuracy. These concepts occur frequently in their subjects like finite element method and other design application oriented subjects.

1) Approximations and round off errors: Significant figures, accuracy and precision, error definitions, round off errors and truncation errors. Mathematical modeling and Engineering problem solving: Simple mathematical model, Conservation Laws of Engineering.

08 Hours

2) Roots of Equations: Bracketing methods-Graphical method, Bisection method, False position method, Newton- Raphson method, Secant Method. Multiple roots, Simple fixed point iteration. Roots of polynomial-Polynomials in Engineering and Science, Muller’s method, Bairstow’s Method. Graeffe’s Roots Squaring Method. 12 Hours

3) Numerical Differentiation and Numerical Integration: Newton –Cotes and Guass Quadrature Integration formulae, Integration of Equations, Romberg integration, Numerical Differentiation Applied to Engineering problems, High Accuracy differentiation formulae

08 Hours

4) System of Linear Algebraic Equations And Eigen Value Problems: Introduction, Direct methods, Cramer’s Rule, Gauss Elimination Method, Gauss-Jordan Elimination Method, Triangularization method, Cholesky Method, Partition method, error Analysis for direct methods, Iteration Methods. Eigen values and Eigen Vectors: Bounds on Eigen Values, Jacobi method for symmetric matrices, Givens method for symmetric matrices, Householder’s method for symmetric matrices, Rutishauser method for arbitrary matrices, Power method, Inverse power method .

12 Hours

5) Linear Transformation: Introduction to Linear Transformation, The matrix of Linear Transformation, Linear Models in Science and Engineering Orthogonality and Least Squares: Inner product, length and orthogonality, orthogonal sets, Orthogonal projections, The Gram-schmidt process, Least Square problems, Inner product spaces.

10 Hours

**Text Books:**

1. S.S.Sastry, Introductory Methods of Numerical Analysis, PHI, 2005.

2. Steven C. Chapra, Raymond P.Canale, Numerical Methods for Engineers, Tata Mcgraw Hill, 4th Ed, 2002.

3. M K Jain, S.R.K Iyengar, R K. Jain, Numerical methods for Scientific and engg computation, New Age International, 2003.

**Reference Books:**

1. Pervez Moin, Fundamentals of Engineering Numerical Analysis, Cambridge, 2010.

2. David. C. Lay, Linear Algebra and its applications, 3rd edition, Pearson Education, 2002.

**Course Outcomes:**

The Student will be able to

1) Model some simple mathematical models of physical Applications.

2) Find the roots of polynomials in Science and Engineering problems.

3) Differentiate and integrate a function for a given set of tabulated data, for

4) Engineering Applications

### FINITE ELEMENT METHOD

Sub Code : 14MAU12

IA Marks :50

Hrs/ Week : 04 E x a m Hours : 03

Total Hrs: 50 Exam Marks :100

**Course Objectives**

1) To present the Finite element method(FEM) as a numerical method for engineering analysis of continua and structures

2) To present Finite element formulation using variational and weighted residual approaches

3) To present Finite elements for the analysis of bars & trusses, beams & frames, plane stress & plane strain problems and 3-D solids, for thermal and dynamics problems and Usage of FEA software

1. Introduction to Finite Element Method: Basic Steps in Finite Element Method to solve mechanical engineering (Solid, Fluid and Heat Transfer) problems: Functional approach and Galerkin approach, Displacement Approach: Admissible Functions, Convergence Criteria: Conforming and Non Conforming elements, Co C1 and Cn Continuity Elements. Basic Equations, Element Characteristic Equations, Assembly Procedure, Boundary and Constraint Conditions.

10 Hours.

2. Solid Mechanics : One-Dimensional Finite Element Formulations and Analysis – Bars- uniform, varying and stepped cross section- Basic(Linear) and Higher Order Elements Formulations for Axial, Torsional and Temperature Loads with problems. Beams- Basic (Linear) Element Formulation-for uniform, varying and stepped cross section- for different loading and boundary conditions with problems. Trusses, Plane Frames and Space Frame Basic(Linear) Elements Formulations for different boundary condition -Axial, Bending, Torsional, and Temperature Loads with problems.

9 Hours.

3. Two Dimensional Finite Element Formulations for Solid Mechanics Problems: Triangular Membrane (TRIA 3, TRIA 6, TRIA 10) Element, Four-Noded Quadrilateral Membrane (QUAD 4, QUAD 8) Element Formulations for in-plane loading with sample problems. Triangular and Quadrilateral Axi-symmetric basic and higher order Elements formulation for axi-symmetric loading only with sample problems

4. Three Dimensional Finite Element Formulations for Solid Mechanics Problems: Finite Element Formulation of Tetrahedral Element (TET 4, TET 10), Hexahedral Element (HEXA 8, HEXA 20), for different loading conditions. Serendipity and Lagrange family Elements

9 hours.

5. Finite Element Formulations for Structural Mechanics Problems: Basics of plates and shell theories: Classical thin plate Theory, Shear deformation Theory and Thick Plate theory. Finite Element Formulations for triangular and quadrilateral Plate elements. Finite element formulation of flat, curved, cylindrical and conical Shell elements

Dynamic Analysis: Finite Element Formulation for point/lumped mass and distributed masses system, Finite Element Formulation of one dimensional dynamic analysis: bar, truss, frame and beam element. Finite Element Formulation of Two dimensional dynamic analysis: triangular membrane and quadrilatateral membrane. Evaluation of eigen values and eigen vectors applicable to bars, shaft, beams, plane and space frame. Simulation of case studies of Automotive components by using Commercial FE Software such as MSC Nastran / MSC Patran and etc.

12 Hours.

**Text Books:**

1. T. R. Chandrupatla and A. D. Belegundu, Introduction to Finite Elements in Engineering, Prentice Hall, 3rd Ed, 2002.

2. Lakshminarayana H. V., Finite Elements Analysis– Procedures in Engineering, Universities Press, 2004.

**Reference Books:**

1. Rao S. S. , Finite Elements Method in Engineering- 4th Edition, Elsevier, 2006

2. P.Seshu, Textbook of Finite Element Analysis, PHI, 2004.

3. J.N.Reddy, Introduction to Finite Element Method, McGraw -Hill, 2006.

4. Bathe K. J., Finite Element Procedures, Prentice-Hall, 2006..

5. Cook R. D., Finite Element Modeling for Stress Analysis, Wiley,1995.

**Course Outcome:**

On completion of the course the student will be

1) Knowledgeable about the FEM as a numerical method for the solution of solid mechanics, structural mechanics and thermal problems

2) The skills required to use a commercial FEA software should be acquired in the accompanying laboratory course using tools such as MSC/PATRAN, MSC/Nastran and etc..

### AUTOMOIVE ENGINES AND AUXILIARY SYSTEMS

Sub Code : 14MAU13

IA Marks : 50

Hrs/ Week : 04 Exam Hours : 03

Total Hrs. : 50 Exam Marks : 100

**Course Objective:**

The main objective of this course is to impart knowledge in automotive engine and its auxiliary system

The detailed concept, construction and principle of operation of engine and various engine components, combustion, subsystems of engines and recent developments will be imparted to the students

1. Introduction and Engine Performance Testing: Definition of a heat engine; external and internal combustion engine; basic engine components and nomenclature; the working principles of engines; classification of IC engines; application of IC engines; engine performance parameters ; Morse Test – Numerical Problems in Engine Testing , Engine Performance Mapping

10 Hours

2. Fuel Supply Systems

SI Engine: Carburettor principal, Properties of air-petrol mixtures, Mixture requirements for steady state and transient operation, design of elementary carburettor, Chokes, Effects of altitude on carburetion, Carburettor for 2-stroke and 4- stroke engines, carburettor systems for emission control. Gasoline Fuel Injection, Numerical Problems in simple carburettor design CI Engines: Fuel injection pump principle Types, constructional features and operation, Factors influencing fuel spray atomization, penetration and dispersion of diesel, Inline Fuel Injection Pumps, Filters, Governors – Types of Governors – fuel feed pumps and Types, injectors and nozzles – types, functions and necessities, injection lag, pressure waves in fuel lines.

10 Hours

3. Combustion in SI engines: Essential features of ignition timing and ignition voltage, MBT timing, knock detection and control strategies, thermodynamic analysis of SI engine combustion, analysis of cylinder pressure data. Combustion in CI engines: Essential features of injection timing and delay period, correlations for ignition delay in engines, effect of fuel properties, types of combustion chambers and merits of the different types, analysis of cylinder pressure data, fuel spray behavior.

10 Hours

4. Cooling and Lubrication System :

Cooling System: Necessity, variation of gas temperature, Areas oh heat flow, heat transfer, piston and cylinder temperature,. Heat rejected to coolant, quantity of water required, cooling system, air cooling, water cooling, thermodynamics of forced circulation, thermostats, pressurized water cooling, regenerative cooling, comparison of air and water cooling, radiators types, cooling fan – power requirement, antifreeze solution

Lubrication System: Lubricants, lubricating systems, Lubrication of piston rings, bearings, oil consumption, Oil cooling. Heat transfer coefficients, liquid and air cooled engines, coolants, additives and lubricity improvers, oil filters, pumps, and crankcase ventilation – types 10 Hours

5. Engine Management System: Combined ignition and fuel management systems., Digital control techniques. Complete vehicle control systems, Artificial intelligence and engine management, Exhaust emission control in SI and CI engines, Techniques Recent Developments in Automotive Engines : Supercharger, Working Principle, Effect of Super charging, Types and Methods of Super charging, Turbo Charger, Working Principle , Turbo-lag, VVT, V-TEC i-VTEC and IDTEC. ATFT, CRDI system – working Principle, Advantages and Effect of CRDI on emission reductions, Hybrid vehicles and fuel cells

10 Hours

**TEXT BOOKS:**

1. Internal Combustion Engine Fundamentals -John B.HeywoodMcGraw-Hill Book Company(1988)

2. Introduction to Internal Combustion Engines -Dr KK Ramalingam, Scitech Puplicatipons, 2004

3. Internal Combustion Engines V.Ganesan, Tata Mc Graw Hill Publications.

**REFERENCE BOOKS:**

1. Tom Denton , “Automotive Electrical and Electronics”- SAE, 2000

2. Heinz Heisler, Advanced Engine Technology. SAE Publications, 1995.

3. Richard Van Basshuysen, Fred Schaefer, “Internal Combustion Engine Hand Book – Basics, Components, Systems and Perspectives”, SAE (2004)

4. Bosch, Automotive Hand Book , SAE , 8th Edn,

**Course Outcome**: At the end of the course students will have the understanding of automotive engines and working principles and the recent

development in the automotive engines

### VEHICLE DYNAMICS

Sub Code : 14MAU14

IA Marks : 50

Hrs/ Week : 04 Exam Hours : 03

Total Hrs. : 50 Exam Marks : 100

**Course Objective:** To understand basics and Vehicle Dynamics and its influence on the vehicle handling characteristics

1. BASICS OF VIBRATION

Definitions, Modeling and Simulation, Global and Vehicle Coordinate System, Free, Forced, Undamped and Damped Vibration, Response Analysis of Single DOF, Two DOF, Multi DOF, Magnification factor, Transmissibility, Vibration absorber, Vibration measuring instruments, Torsional vibration, Critical speed. Modal analysis

10 Hours

2. TYRES

Tyre forces and moments, Tyre structure, Longitudinal and Lateral force at various slip angles, rolling resistance, Tractive and cornering property of tyre. Performance of tyre on wet surface. Ride property of tyres. Magic formulae tyre model, Estimation of tyre road friction. Test on Various road surfaces. Tyre vibration..

Braking Performance: Basic equations, Braking forces, Brakes, Brake Proportioning, Antilock Brake system, Braking efficiency, Rear wheel lockup, Standards and Legislations, Numerical Examples.

10 Hours

3. Vertical Dynamics: Human response to vibration, Sources of Vibration. Design, analysis and computer simulation of Passive, Semi-active and Active suspension using Quarter car, half car and full car model. Influence of suspension stiffness, suspension damping, and tyre stiffness. Control law for LQR, H-Infinite, Skyhook damping. Air suspension system and their properties.

Vehicle Aerodynamics: Aerodynamic, Aerodynamic forces lift and drag components, Pitching, yawing, rolling moments, and Total road loads, Numerical Examples.

10 Hours

4. Steady State Handling Characteristics of Road Vehicles

Steering Geometry, Derivation of fundamental equation governing the steady-state handling behavior of a road vehicle, Neutral Steer, Understeer and Oversteer characteristics, characteristic and critical speeds, Neutral Steer Point, Static margin, Steady-State Response to Steering Input-Yaw Velocity Response, Lateral Acceleration Response, Sideslip Response and Curvature Response; Numerical Problems.

Performance Characteristics of Off-Road Vehicles: Drawbar Performance – Drawbar Pull and Drawbar Power, Tractive Efficiency, Coefficient of Traction, Weight-to-Power Ratio for Off-Road Vehicles; Fuel Economy of Cross- country Operations Transport Productivity and Transport Efficiency, Mobility Map and Mobility Profile, Selection of Vehicle Configurations for Off-Road, Numerical Problems

12 Hours

5. Suspension Mechanisms: Solid Axle Suspension, Independent Suspension, Roll Center and Roll Axis, Car Tire Relative Angles, Toe, Caster Angle, Camber, Trust Angle, Suspension Requirements and Coordinate Frames, Kinematics Requirements, Dynamic Requirements, Wheel, wheel body, and tyre Coordinate Frames, Caster Theory, Numerical examples

8 Hours

**TEXT BOOKS:**

1. “Vehicle Dynamics: Theory and Applications”-Reza N. Jazar, Springer Verlag.

2. “Theory of Ground Vehicles”-J. Y. Wong, John Willey&Sons,NY.

3. “Fundamentals of Vehicle Dynamics”- T D Gillespie, SAE

4. John C. Dixon, Tyres, Suspension, and Handling, 2nd Edition, Society of Automotive Engineers Inc, 1996

**REFERENCE BOOKS:**

1. “Tyre and Vehicle Dynamics”- Hans B.Pacejka, SAE

2. “Motor Vehicle Dynamics: Modeling and Simulation”-Giancarlo Genta, World Scientific Publishing Co.; Singapore.

3. Aerodynamics of Road Vehicles, Hucho W. H. SAE.

4. Thomas D. Gillespie, Fundamentals of Vehicle Dynamics, Society of Automotive Engineers Inc, 1992

5. Rajesh Rajamani, Vehicle Dynamics and Control, 1st edition, Springer, 2005

6. Singiresu S. Rao, Mechanical Vibrations (5th Edition), Prentice Hall, 2010

**Course Outcome:** Students gets the better understanding of vehicle dynamics and able to implement the concepts in real time applications of automotive vehicle design .

### AUTOMOTIVE MATERIALS

Sub Code : 14MAU151

IA Marks : 50

Hrs/ Week : 04 Exam Hours : 03

Total Hrs. : 50 Exam Marks : 100

**Course Objective**: To understand the various materials used for automotive components and System

1. Aluminium Alloys & Lightweight Magnesium for Automotive Applications: Introduction; Wrought Aluminum alloys; Cast aluminum processes Technologies; Cast aluminum metallurgy and properties; New Lightweight alloys; Process technologies; mechanical and physical properties; Case studies of applications .

Testing Automotive Materials: Evaluation of materials under realistic loading and environmental conditions; different test methods for evaluation of properties for specific applications.

10 Hours

2. Composite Materials for Automotive Applications: Definition, Classification, Types of matrices & reinforcements, characteristics & selection, Fiber composites, laminated composites, particulate composites, prepegs, sandwich construction.

Manufacturing Composite Materials:Lay up and curing – open and closed mould processing – Hand lay –up techniques – Bag moulding and filament winding. Pultrusion, pulforming, Thermoforming, Injection moulding, Cutting, Machining and joining, tooling, Quality assurance – Introduction, material qualification, types of defects, NDT methods.

12 Hours

3. Metal matrix composites: Reinforcement materials, types, Characteristics & selection, base metals,selection, applications in automotive engineering.

8 Hours

4. Micro mechanical analysis of a lamina: Introduction, Evaluation of the four elastic modules – Rule of mixture, ultimate strengths of unidirectional lamina.

Macro mechanics of a lamina: Hooke’s law for different types of materials, number of elastic constants; Two – dimensional relationship of compliance & stiffness matrix. Hooke’s law for two dimensional angle lamina, engineering constants – angle lamina, Invariants,Theories of failure.

12 Hours

5. Macro Mechanics of Laminates: Laminates Coding, ABD Matrices, Classical Laminates Theory, Special cases of Laminates, Strength Theories of Laminates.

8 Hours

**REFERENCE BOOKS:**

1. “Developments in Lightweight Alloys for Automotive Applications”- James M Boileau, 2001-2005”, SAE (Product Code PT- 130).

2. “Lightweight Magnesium Technology-2001 through 2005”, – Thomes Ruden, SAE (Product code PT-131)

3. “Testing Automotive Materials & Components”- Donald H Wright, SAE (Product Code R – 124) 4. “Composite material science and Engineering”- Krishan K. Chawla Springer.

4. “Fibre reinforced composites”- P.C. Mallik Marcel Decker.

**Course Outcome:** At the end, Students will be able to make the decision of material selection based on various parameters. Also able to identify the process need to be followed for the production of components.

### AUTOMOTIVE AIR CONDITIONING

Sub Code : 14MAU152

IA Marks : 50

Hrs/ Week : 04 Exam Hours : 03

Total Hrs. : 50 Exam Marks : 100

**Course Objective:** To understand the basics of Air-conditioning system and parameters influences the HVAC Design

1. Introduction: Definition of air conditioning, historical notes on automotive air conditioning; Thermodynamics of air water vapour mixture; Moist air Properties & Conditioning Processes: Moist air and the standard atmosphere; fundamental parameters; adiabatic saturation; wet bulb temperature; the Psychrometric Chart; Classic moist air processes; Space Air Conditioning – design conditions and off- design conditions

10 Hours

2. Air-Conditioning Fundamentals: The basic theory of cooling; vapour compression refrigeration; Alternative cycles; The air conditioning systems; the expansion valve system; the fixed orifice valve system; Variable Orifice System, dual air-conditioning, Heating – Heater Matrix, Heating Requirements, Screen Heater, seat heater

10 Hours

3. Air Conditioning Components: The compressor; The condenser; receiver-drier/accumulator; the expansion valve/fixed orifice valve; the evaporator; Anti-frosting devices; Basic control switches

10 Hours

4. Air conditioning electrical and electronic control: Electrical principles; Sensors and actuators; testing sensors and actuators; Oscilloscope wave form sampling; Multiplex wiring systems; OBD and EOBD; wiring diagrams. Automotive Climate control system ; Automotive A/C- manual control system; Automotive A/C auto temperature control system (Case Study)Automotive climate control system (Case Study)

10 Hours

5. Diagnostics and Troubleshooting: Initial vehicle inspection; temperature measurements; pressure gauge readings and cycle testing; A/C system leak testing; sight glass

Service and Repair: Servicing precautions; refrigerant recovery, recycle and charging; system oil and system flushing; odor removal; retrofitting; adjustment of compressor components; fixed orifice valve replacement The environment: Global warming; ozone layer.

10 Hours

**TEXT BOOKS:**

1. “Automotive Air Conditioning and Climate Control Systems”- Steven Daly, Elsevier, 2007.

2. “Automotive Heating & Air Conditioning”,-Mark Schnubel, Thomson Delmar Learning, 3rd edition, NY.

3. ” ASHRAE Handbook” – 1985 Fundamentals 4. William H. Crouse & Donald L. Anglin, “Automotive Air Conditioning”, McGraw Hill, Inc., 1990.

**REFERENCE BOOKS:**

1. “Automotive Air Conditioning”-Paul Weisler, , Reston Publishing Co. Inc. 1990.

2. “Automotive Air Conditioning”-Paul Lung, C.B.S. Publisher & Distributor, Delhi.

**Course Outcome:**

At the end, Students will have the better understanding of HVAC equipments and process to be followed the design of HVAC system in vehicles.

### ADVANCED THEORY OF VIBRATIONS

Sub Code : 14MAU153

IA Marks :50

Hrs/ Week : 04 E xam Hours : 03

Total Hrs: 50 Exam Marks :100

**Course Objective:**

To teach students about theoretical principles of vibration, and vibration analysis techniques, for the practical solution of vibration problems. The course thus builds on student’s prior knowledge of vibration theory, and concentrates on the applications. Thus the student will fully understand the importance of vibrations in mechanical design of machine parts that operate in vibratory conditions.

1) Review of Mechanical Vibrations: Basic concepts; free vibration of single degree of freedom systems with and without damping, forced vibration of single DOF-systems, Natural frequency. Transient Vibration of single Degree-of freedom systems: Impulse excitation, Arbitrary excitation, Laplace transform formulation, Pulse excitation and rise time, Shock response spectrum, Shock isolation.

12 hours

2) Vibration Control: Introduction, Vibration isolation theory, Vibration isolation and motion isolation for harmonic excitation, practical aspects of vibration analysis, shock isolation, Dynamic vibration absorbers, Vibration dampers.

Vibration Measurement and applications : Introduction, Transducers, Vibration pickups, Frequency measuring instruments, Vibration exciters, Signal analysis

12 hours

3) Modal analysis & Condition Monitoring: Dynamic Testing of machines and Structures, Experimental Modal analysis, Machine Condition monitoring and diagnosis. Non Linear Vibrations: Introduction, Sources of nonlinearity, Qualitative analysis of nonlinear systems. Phase plane, Conservative systems, Stability of equilibrium, Method of isoclines, Perturbation method, Methods of Iterations,

12 hours

4) Random Vibrations : Random phenomena, Time averaging and expected value, Frequency response function, Probability distribution, Correlation, Power spectrum and power spectral density, Fourier transforms, FTs and response. 8 hours

5) Continuous Systems: Vibrating string, longitudinal vibration of rods, Torsional vibration of rods, Euler equation for beams. 6 hours

**Text Books**

1) Theory of Vibration with Application, – William T. Thomson, Marie Dillon Dahleh, Chandramouli Padmanabhan, ,5th edition Pearson Education

2) S. Graham Kelly , “Fundamentals of Mechanical Vibration” – McGraw-Hill, 2000

3) S. S. Rao , “Mechanical Vibrations”, Pearson Education, 4th edition.

**Reference Books**

1) S. Graham Kelly , “Mechanical Vibrations”, Schaum’s Outlines, Tata McGraw Hill, 2007.

2) C Sujatha , “Vibraitons and Acoustics – Measurements and signal analysis”, Tata 18 McGraw Hill, 2010.

**Course Outcome:**

A student who has met the objectives of the course will be able to solve major and realistic vibration problems in mechanical engineering design that involves application of most of the course syllabus

### THEORY OF ELASTICITY

Sub Code : 14MAU154

IA Marks : 50

Hrs/ Week : 04 Exam Hours : 03

Total Hrs. : 52 Exam Marks : 100

**Course Objective:** Students will master concepts of stress and strain tensors, know how to formulate a well posed elasticity problem, and learn several methods for its solution

1. Introduction: Definition and Notation for forces and stresses. Components of stresses, equations of Equilibrium, Specification of stress at a point. Principal stresses and Mohr’s diagram in three dimensions. Boundary conditions .Stress components on an arbitrary plane, Stress invariants, Octahedral stresses, Decomposition of state of stress, Stress transformation.

8 Hours

2. Introduction to Strain : Deformation, Strain Displacement relations, Strain components, The state of strain at a point, Principal strain, Strain transformation, Compatibility equations, Cubical dilatation.

Stress -Strain Relations and the General Equations of Elasticity: Generalized Hooke’s; law in terms of engineering constants. Formulation of elasticity Problems. Existence and uniqueness of solution, Saint -Venant’s principle, Principle of super position and reciprocal thermo

12 Hours

3. Two Dimensional Problems in Cartesian Co-Ordinates: Airy’s stress function, investigation for simple beam problems. Bending of a narrow cantilever beam under end load, simply supported beam with uniform load, Use of Fourier series to solve two dimensional problems.

Two Dimensional Problems in Polar Co-Ordinates: General equations, stress distribution symmetrical about an axis, Pure bending of curved bar, Strain components in polar co-ordinates, Rotating disk andcylinder, Concentrated force on semi-infinite plane, Stress concentration around a circular hole in an infinite plate.

14 Hours

4. Thermal Stresses: Introduction, Thermo-elastic stress -strain relations, Thin circular disc, Long circular cylinder. Torsion of Prismatic Bars: Torsion of Circular and elliptical cross section bars, Soap film analogy, Membrane analogy, Torsion of thin walled open and closed tubes.

10 Hours

5. Elastic Stability: Axial compression of prismatic bars, Elastic stability, Buckling load for column with constant cross section.

6 Hours

**TEXT BOOKS:**

1. Timoshenko and Goodier “Theory of Elasticity”, – McGraw Hill Book Company.

2. Dym C. L and Shames. I. H, “Solid Mechanics : A variation Approach”- McGraw HillNew York- 1973

**REFERENCE BOOKS:**

1. T.G.Sitharam, “Applied Elasticity”- Interline publishing.

2. L S Srinath“Advanced Mechanics of Solids”- Tata Mcgraw Hill Company.

3. Sadhu Singh, “Theory of Elasticity”-Khanna publisher

4. Phillips, Durelli and Tsao, ” Analysis of Stress and Strain “- McGraw Hill Book.

5. C. T. Wang,“Applied Elasticity”

**Course outcome:**

i. Become proficient with indicial notation and master manipulation of Cartesian vector and tensor equations.

ii. Understand basic tensorial strain and stress measures.

iii. Know how to formulate a well posed elasticity boundary value problem.

iv. Learn several methods to solve elasticity boundary value problems, including some or all of the following: superposition, Green’s functions, separation of variables, transform methods, dimensional analysis, complex variable methods, integral equations,

variational methods

### Automotive Engineering Lab -I

Sub Code : 14MAU16

IA Marks :25

Hrs/ Week : 5 Exam Hours : 03

Total Hrs:50 Exam Marks :50

**Note**:

1) These are independent laboratory exercises

2) A student may be given one problem ( 1 to 4) and one more experiment from 5 to 7

3) Student must submit a comprehensive report on the problem solved and give a Presentation on the same.

4) For Numerical Simulation FEA softwares must be used such as MSC Patran/MSC Nastran and etc…

**List of Experiments**

1. Linear Static (Stress) Analysis of Automotive Engine Components such as Connecting Rod, Piston, Cylinder wall, Crank Shaft using FEA software Such as MSC Patran / MSC Nastran and etc

2. Modal Analysis of Automotive Engine Components using FEA software

3. Dynamics Analysis of Automotive Engine Components using FEA Software

4. Heat Transfer Analysis of Automotive Engine Components using FEA Software

5. Random Vibration analysis

6. Testing of Single Cylinder, Twin Cylinder and multi cylinder SI / CI engines for performance, Calculate BP, Thermal, volumetric efficiencies, and BSFC with emission testing

7. Conduct Morse test for finding FP, IP, Indicated thermal efficiency and Mechanical efficiency and tuning the engine parameters

8. Performance test on computerized IC engine test rig using conventional fuels and Alternate Fuels.

9. Study and tuning of CRDI engine

10. Performance test on Variable Compression Ratio