PG Syllabus Design-2015 - P.E.S. College of Engineering · · 2017-09-15(An Autonomous Institution Affiliated to VTU, Belagavi) Grant -in- Aid Institution ... Lab components are

SYLLABUS (With effect from 2015-2016) Out Come Based Education

I to IV Semester

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Master of Technology In

Mechanical Engineering (Machine Design)

P.E.S. College of Engineering, Mandya - 571 401, Karnataka (An Autonomous Institution Affiliated to VTU, Belagavi)

Grant -in- Aid Institution (Government of Karnataka)

Accredited by NBA, New Delhi Approved by AICTE, New Delhi.

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Preface

PES College of Engineering, Mandya, started in the year 1962, has become autonomous in the academic year 2008-09. Since, then it has been doing the academic and examination activities successfully. The college is running 8 Postgraduate programs. It consists of 6 M.Tech programs, which are affiliated to VTU. Other postgraduate programs are MBA and MCA.

India has recently become a Permanent Member by signing the Washington Accord. The accord

was signed by the National Board of Accreditation (NBA) on behalf of India on 13th June 2014. It enables not only the mobility of our degree globally but also establishes equivalence to our degrees with that of the member nations such as Taiwan, Hong Kong, Ire-land, Korea, Malaysia, New Zealand, Russia, Singapore, South Africa, Turkey, Australia, Canada and Japan are among 16 signatories to the international agreement besides the US and the UK. Implementation of Outcome Based Education (OBE), has been the core issue for enabling the equivalence and of Indian degrees and their mobility across the countries.

Our higher educational institution has adopted Credit Based semester structure with OBE scheme and grading system.

The credit based OBE semester system provides flexibility in designing curriculum and assigning

credits based on the course content and hours of teaching. The OBE, emphasize setting clear standards for observable, measurable outcomes of programs in

stages. There lies a is shift in thinking, teaching and learning processes moving towards Students Centric from Teacher Centric education. OBE standards focusing on mathematics, language, science, attitudes, social skills, and moral values.

The key features which may be used to judge if a system has implemented an outcomes-based education systems is mainly Standards-based assessments that determines whether students have achieved the stated standard. Assessments may take any form, so long as the process actually measure whether the student knows the required information or can perform the required task. Outcome based education is a commitment that all students of all groups will ultimately reach the same minimum standards. Outcome Based Education is a method or means which begins with the end in mind and constantly emphasizes continuous improvement.

In order to increase the Industry/Corporate readiness, many Soft Skills and Personality

Development modules have been added to the existing curriculum of 2015-16. Lab components are added with each course. (B.DINESH PRABHU) Deputy Dean (Academic) Associate Professor Dept. of Automobile Engg

(Dr.H.V.RAVINDRA) Dean (Academic)

Professor Dept. of Mechanical Engg.

P.E.S.COLLEGE OF ENGINEERING, MANDYA-571401 (KARNATAKA)

(An Autonomous Institution under VTU, Belagavi) Vision

“ An institution of high repute, imparting quality education to develop innovative and humane engineers” Mission

“ Committed to develop students potential through high quality teaching- learning processes and state of the art infrastructure”

DEPARTMENT OF MECHANICAL ENGINEERING

ABOUT THE DEPARTMENT The department of Mechanical Engineering was established in the year 1962 during the origination of the institute. The department was granted academic autonomy in the year 2009. The department presently offers B.E in Mechanical Engineering, M Tech in Computer Integrated Manufacturing (CIM), M Tech in Machine Design, M.Sc., (Engg.) by research and research leading to Ph.D. The present intake capacity of the department is 120 for BE, 18 for M Tech CIM and 24 for M Tech Machine Design. The department has a faculty-student ratio of 1:15 for UG courses and 1:12 for PG courses. The department has well established laboratories to meet the academic requirements of UG and PG programmes and a skilled technical faculty to train the students. The department has its own library which has a collection of about 3160 reference books. The department regularly organizes industrial visits, technical lectures by experts from industries and institutes in contemporary areas to bridge the gap between syllabi and current developments. The students are encouraged to undergo industrial training as well as to take up industry oriented projects during their academic course. Mechanical Engineering Association, formed by the students and faculty of the department regularly organizes co-curricular and extracurricular activities for the students.

Vision “Be a department well recognized for its ability to develop competent mechanical engineers”

Mission “To provide quality education, essential technical skills and inculcate sense of higher education, by

competent faculty, adequate infrastructure and necessary industry interaction”

--------------------------------------------------------------------------------------------------------------------- Credit pattern

Programme: M.Tech. in Mechanical Engineering (Machine Design) Core Courses I Semester 12 credits

II Semester 12 credits III Semester 04 credits

Elective Course I Semester 08 credits II Semester 08 credits III Semester 08 credits

Seminar I Semester 02 credits II Semester 02 credits

Lab I Semester 02 credits II Semester 02 credits

Industrial Training III Semester 06 credits Pedagogy Training III Semester 02 credits Project work III Semester 04 credits Project work IV Semester 28 credits A total of 100 credits for 2 years

P.E.S. COLLEGE OF ENGINEERING, MANDYA

M.Tech. Mechanical Engineering (Machine Design)Syllabus of 2015-16 Academic Year. Page 1

P.E.S. COLLEGE OF ENGINEERING, MANDYA Scheme of Teaching and Examination for M.Tech course in Mechanical Engineering

(MACHINE DESIGN) First Semester

Sl. No. Sub. code Subject Teaching

Dept.

Credit Pattern L:T:P:H

Total Credits

Marks Allotted Total Marks CIE SEE

1. P15MMDN11 Advanced Machine Design ME 4:0:0:4 04 50 50 100

2. P15MMDN12 Finite Element Method ME 4:0:0:4 04 50 50 100

3. P15MMDN13 Theory of Elasticity ME 4:0:0:4 04 50 50 100

4. P15MMDN14X Elective – I ME 4:0:0:4 04 50 50 100

5. P15MMDN15X Elective – II ME 4:0:0:4 04 50 50 100

6. P15MMDN16 Sub Seminar ME 0:0:4:4 02 50 --- 50

7 P15MMDL01 Design Lab-I ME 0:0:4:4 02 50 50 100

Total 24 350 250 650

Electives Sl. No. Sub. code Elective – I Credit Pattern L:T:P:H

1 P15MMDN141 Advanced Materials Technology 4:0:0:4

2 P15MMDN142 Computer Applications in Design 4:0:0:4

Elective – II

3 P15MMDN151 Experimental Mechanics 4:0:0:4

4 P15MMDN152 Additive Manufacturing 4:0:0:4

Second Semester


Dept.


Total Credits

Marks Allotted Total

Marks CIE SEE

1. P15MMDN21 Dynamics and Mechanism Design ME 4:0:0:4 04 50 50 100

2. P15MMDN22 Advanced Theory of Vibrations ME 4:0:0:4 04 50 50 100

3. P15MMDN23 Theory of Plasticity ME 4:0:0:4 04 50 50 100

4. P15MMDN24X Elective – III ME 4:0:0:4 04 50 50 100

5. P15MMDN25X Elective – IV ME 4:0:0:4 04 50 50 100 6. P15MMDN26 Sub Seminar ME 0:0:4:4 02 50 --- 50

7 P15MMDL02 Design Lab-II ME 0:0:4:4 02 50 50 100

Total 24 350 300 650

Electives

Sl. No. Sub. code Elective – III Credit Pattern L:T:P:H

1 P15MMDN241 Metrology and Computer Aided Inspection 4:0:0:4

2 P15MMDN242 Design of Automotive Engine and Transmission Components 4:0:0:4

Elective – IV

3 P15MMDN251 Fracture Mechanics 4:0:0:4

4 P15MMDN252 Industrial Robotics 4:0:0:4



Third Semester


Dept.


Total Credits

Marks Allotted Total Marks

CIE SEE

1. P15MMDN31 Tribology and Bearing Design ME 4:0:0:4 04 50 50 100

2. P15MMDN32X Elective – V ME 4:0:0:4 04 50 50 100

3. P15MMDN33X Elective – VI- ME 4:0:0:4 04 50 50 100

4. P15MMDN34 Industrial Training ME -------- 06 50 50 100

P15MHSM35 Pedagogy/ Research Methodology

HSM 0:2:2:4 02 100 --- 100

5. P15MMDN36 Project –Phase - I ME 0:0:8:8 04 50 50 100

Total 24 350 250 600

Electives Sl. No. Sub. code Elective – V Credit Pattern L:T:P:H

1 P15MMD321 Vehicle dynamics 4:0:0:4

P15MMD322 Acoustics and noise control 4:0:0:4

3 P15MMD323 Mechanics of composite materials 4:0:0:4

Elective – VI

4 P15MMD331 Statistical Modeling And Experimental Design 4:0:0:4

5 P15MMD332 Theory of plates and shells 4:0:0:4 6 P15MMD333 Rotor Dynamics 4:0:0:4

Fourth Semester


Dept.

Credit Pattern L:T:P

Total Credits

Marks Allotted Total Marks

CIE SEE 1. P15MMDN41 Project –Phase-II ME 0:0:8:8 04 50 50 100

2. P15MMDN42 Project –Phase-III ME 0:0:8:8 04 50 50 100

3. P15MMDN43 Project work Thesis Evaluation ME --- 12 --- 100 100

4. P15MMDN44 Project Work Viva-Voce ME --- 08 --- 100 100

Total 28 100 300 400



Evaluation Scheme Scheme Weightage Marks Event Break Up

CIE 50% 50 Test I Test II Quiz I Quiz II Assignm

ent 35 35 5 5 10

SEE 50% 100 Questions to Set: 10 Questions to Answer: 5 Scheme of SEE Question Paper (100 Marks) Duration: 3Hrs Marks: 100 Weightage: 50% • Each of the two questions set shall be so comprehensive as to cover the entire contents of

the unit. • There will be direct choice between the two questions within each Unit • Total questions to be set are 10. All carry equal marks of 20 • The number of subdivisions in each main question shall be limited to three only • No. of questions to be answered by students is 5 Note: 1. Eight weeks of compulsory Industrial training to be undergone by the students during their

third semester. A report on the industrial training is to be submitted by the student. The report has to be evaluated by Industrial Guide and Institute guide for SEE of 50 marks. The Student must give Seminar based on the Industrial Training before a committee constituted by the Department for the remaining CIE of 50 marks.

2. The laboratories are CIE with report submission and seminar presentation/Viva Voce of 50 marks each.

3. Pedagogy/Research methodology is CIE with objective type of question for evaluation 4. The seminar (I & II semester) on current topics shall be presented along with a report for

evaluation. 5. Project work Phase-1, 2 & 3 to be awarded by the Department committee constituted for

the purpose a) The project Phase-I is based on Report submission consisting of Title, Introduction,

Literature survey, Summary of literature survey, Objectives and Methodology as CIE and presentation as SEE for 50 marks each.

b) The project Phase-II is based on Report submission consisting of Experimentation, Theoretical analysis approach and Results and discussion (if completed) as CIE and presentation as SEE for 50 marks each.

c) The project Phase-III is based on Thesis manuscript as CIE and Presentation as SEE for 50 marks each.

6. The Project Thesis evaluation has to be done separately by Internal and External Examiners

7. The Project Viva Voce has to be done jointly by Internal and External Examiners.



Course plan

Course Title: Advanced Machine Design

Course Code: P15MMDN11 Sem:01 L-T-P : 4-0-0

Contact Period: Lecture: 52 Hr; Exam: 3 Hrs Weightage: CIE:50; SEE:50

Course Objectives: The course aims at strengthening the design capabilities of students by enhancing their understanding of fatigue failure, crack propagation and life estimation of machine elements subjected to fatigue loads.

Course Content

UNIT – 1 Fatigue of Materials: Introduction, Role of failure prevention analysis in mechanical design, Modes of mechanical failure, Review of failure theories for ductile and brittle materials including Mohr’s theory and modified Mohr’s theory, Numerical examples. Fatigue concepts, High cycle and low cycle fatigue, Fatigue design models, Fatigue design methods, Fatigue design criteria, Fatigue mechanisms, surface features of Fatigue fracture, Fatigue testing, Test methods and standard test specimens. 10 hrs

UNIT – 2 Stress-Life (S-N) Approach: Introduction, S-N curves, General S-N behavior, fatigue limit under fully reversed uniaxial stressing, Mean stress effects on S-N behaviour, factors influencing S-N behaviour, S-N curve representation and approximations, Constant life diagrams, Fatigue life estimation using S-N approach. Fatigue from variable amplitude loading: spectrum loads and cumulative damage, damage quantification and concepts of damage fraction and accumulation, Palmgren-Miner linear damage rule, load interaction and sequence effects, cycle counting – level crossing counting, peak counting, simple range counting, Rainflow method, life estimation, strengths, limitations and typical applications of S-N approach. 12 hrs UNIT – 3 Strain-Life( ε-N)approach: Introduction, Monotonic stress-strain behavior, stress-strain relationships, Strain controlled test methods ,Cyclic stress-strain behavior, cyclic strain hardening and softening, cyclic stress-strain curve, Strain based approach(ε-N) to life estimation, determination of strain life fatigue properties, Mean stress effects, Effect of surface finish, Life estimation by ε-N approach. Variable amplitude loading: life estimation under variable amplitude loading. 10 hrs

UNIT – 4 LEFM Approach: Introduction, LEFM concepts, loading modes, stress intensity factor, K expressions for common cracked members, Crack tip plastic zone, Fracture toughness, Fatigue crack growth, monotonic and cyclic plastic zone size, sigmoidal curve, constant amplitude fatigue crack growth test methods, Mean stress effects, Crack growth life estimation, crack closure. Crack growth under variable amplitude loading, load interaction models, wheeler model. 10 hrs UNIT – 5 Notches and their effects: Introduction, concentrations and gradients of stress and strain, S-N approach for notched members, notch sensitivity and fatigue notch factor, effects of stress



levels, Haigh diagrams, notch strain analysis and strain-life approach, Neuber’s rule, Glika’s rule, applications of fracture mechanics to crack growth at notches. 10 hrs

Text Books

1 Metal Fatigue in engineering, Ralph I. Stephens, Ali Fatemi, Robert .R. Stephens, Henry o. Fuchs, John wiley Newyork, Second edition. 2001.

2 Fundamentals of Metal Fatigue Analysis, Julie.A.Benantine Prentice Hall,1990

References

1 Machine Design, Robert L. Norton, Pearson.

2 Failure of Materials in Mechanical Design, Jack. A. Collins, John Wiley, Newyork 1992.

3 Fatigue of Materials, S.Suresh, Cambridge university press, Cambridge, U.K.

4 Fatigue and Fracture, ASM Hand Book, Vol 19,2002.

Sl.No. Course Outcomes

At the end of the course the students should be able to:

1 Describe failure theories, design machine elements based on different failure criteria, describe fatigue concepts and fatigue test methods.

2 Describe concepts of stress life approach and employ stress life approach for life estimation of machine elements.

3 Describe concepts of strain life approach and employ strain life approach for life estimation of machine elements.

4 Describe concepts of LEFM and estimate crack growth life of machine elements. 5 Explain the influence of notches on fatigue life of machine elements and apply

concepts of fracture mechanics to crack growth at notches.



Course plan

Course Title: Finite Element Method



Course Objectives: The course aims at strengthening the capabilities of students to use various aspects of finite element method as a basic numerical tool for solving mechanical engineering problems.

Course Content

UNIT – 1 Introduction to Finite Element Method: Introduction to FEM, Advantages and disadvantages of FEM, Applications of FEM, Boundary conditions: Essential and Non-essential boundary conditions, Basic steps in FEM, Element types, Displacement model, Convergence criteria, Different coordinate systems. Potential energy functional for 3-D elastic body. Methods of deriving finite element equations- Stiffness (displacement) method, variational method and virtual work principle, method of weighted residuals (only description), strong and weak formulation. One-Dimensional Elements-Analysis of Bars: Introduction, potential energy functional for 1-D bar element, Admissible displacement function, Derivation of shape functions for linear and quadratic bar elements, Element equations - stiffness matrix, consistent nodal force vector due to traction and body forces for linear and quadratic bar elements by Galerkin approach, Assembly Procedure, Treatment of boundary conditions: Elimination and Penalty approach, Multi-point constraints, Initial strain (Temperature

effects), Numericals on 1-D bar problems. 12 hrs UNIT – 2 Two-Dimensional Elements-Analysis of Plane Elasticity Problems: Plane stress and plain strain assumptions, Derivation of shape functions, strain- displacement matrix, stiffness matrix and load vectors for three-noded triangular element (TRIA 3) by variational principle. Lagrangian polynomial – shape functions for 9-noded quadrilateral elements. Isoparametric, subparametric and superparametric elements, Concept of Jacobian matrix: Derivation of Jacobian matrix for CST and 4-noded quadrilateral (QUAD 4) elements. Three-Dimensional Elements: Introduction, Finite element formulation - shape functions, strain-displacement matrix, element stiffness matrix, force terms for Four-Noded Tetrahedral Element (TET 4), shape functions for Eight-noded Hexahedral

Element (HEXA- 8). 10 hrs UNIT – 3 Axi-symmetric Solid Elements: Axi-symmetric formulation, Axi-symmetric Triangular Elements – Derivation of strain-displacement matrix, stiffness matrix and load vectors by potential energy approach. Analysis of Plane Trusses: Local and Global co-ordinate systems, element stiffness

matrix, stress calculations, temperature effects. 10 hrs

UNIT – 4 Analysis of Beams: Derivation of Hermite shape functions for beam element, Stiffness matrix and load vector for beam element by Galerkin approach, element shear force and bending moment. Numericals on plane trusses and beams. Dynamic Considerations: Formulation for point mass and distributed masses, Element mass matrices for one dimensional bar element, truss element, CST element, beam element. Lumped mass matrix, Evaluation of eigen values and eigen vectors for one-

dimensional bars. 10 hrs



UNIT – 5 Heat Transfer: Introduction, Equations for heat conduction and convection. Governing equation for three-dimensional bodies, boundary and initial conditions, derivation of finite element equations by Galerkin approach, Steady state heat transfer, one-dimensional heat conduction equation, one-dimensional element - Galerkin approach for heat conduction, One-dimensional heat transfer in thin

fins, numericals on 1D steady state heat transfer through composite walls and fins. 10 hrs

Text Books

1 Introduction to Finite Elements in Engineering, Chandrupatla T. R. and Belegundu A. D., 2nd Edition, PHI, 2007.

2 Finite Element Methods, Daryl L Logan, Cengage Learning 3 Finite Elements Method in Engineering, Rao S. S. 4 Edition, Elsevier, 2006

References

1 Concepts and Application of Finite Elements Analysis, Cook R. D., et al., 4th Edition, Wiley & Sons, 2003.

2 Fundamentals of Finite Element Analysis, David V. Hutton, Tata-McGraw-Hill

3 Introduction to the Finite Element Method , C S Desai and J F Abel, EWP an East-West edition.



1 Explain the concept of finite element method, finite element discretization process and methods of deriving finite element equations and Solve one-dimensional structural problems.

2 Formulate finite element equations for two-dimensional and three-dimensional elements and Analyze two-dimensional plane stress and strain problems.

3 Formulate finite element equations for axi-symmetric and plane truss elements and Solve axi-symmetric and plane truss problems.

4 Formulate finite element equations for beams and dynamic problems and estimate bending moment, shear force and stresses in beam and natural frequencies and mode shape of one-dimensional structural problems.

5 Formulate finite element equations for three-dimensional heat transfer problems and estimate temperature distribution and heat flow in composite walls and fins.



Course Plan

Course Title: Theory of Elasticity



Course objective: The course aims at enabling the students to understand the mathematical and physical principles of Elasticity, with different solution strategies while applying them to practical cases.

Course Content

Unit -1: Stress Analysis: Introduction to the general theory of elasticity, assumptions and applications of linear elasticity. Stress tensors, state of stress at a point, principal stresses, direction cosines, stress invariants, equilibrium equations,

octahedral stresses, decomposition of state of stress, stress transformation, numerical, Mohr's stress circle and construction of Mohr Circle for 2D stress systems.

12 hrs

Unit-2: Strain Analysis: Deformation, strain-displacement relation, strain components, The state of strain at a point, principal strains, strain invariants, Equations of Compatibility for Strain, strain transformation cubical dilation.

10 hrs

Unit -3: Stress–Strain Relations: Generalized Hooke’s law in terms of engineering constants. Existence and uniqueness of solution, Saint Venant’s principle, principle of superposition, Prandtl’s membrane analogy, Kirchoff’s law, Fundamental boundary value problems, Inverse and Semi-inverse method of solving elasticity problems. General case of Plane stress and Plane strain, transformation of compatibility condition from strain component to stress components. Relation between plane stress and plane strain.

10 hrs

Unit -4: 2D Problems in Cartesian Coordinates: Airy stress function, stress function for plane stress and plane strain case. Investigation for simple beam problems. Bending of narrow cantilever under end load, simply supported beam with uniform load by the use of polynomials. Torsion of circular and elliptical bars, stress function, torsion of thin walled and multiple cell closed sections.

10 hrs

Unit-5: General Equations in Cylindrical coordinate: Thick cylinder under uniform internal and / or external pressure, shrink and force fit.

Thermal Stresses: Thermo elastic stress strain relationship, equations of equilibrium, thermal stresses in thin circular disks and in long circular cylinder.

10 hrs

Text books

1 Theory of Elasticity: Timoshenko and Goodier, McGraw Hill 3rd Edition, 1970

2 Advanced Mechanics of Solids: L S Srinath McGraw Hill ,3rd Edition,2009



References

1 Theory of Elasticity: Sadhu Singh, Khanna publisher

2 Applied Elasticit: Wang. C. T. McGraw-Hill Inc.,1963

3 Applied Elasticity: T.G.Sitharam. Govindraju, Interline publishing.

4 Advanced Mechanics of Materials: Arthur P Boresi and Richard J Schmidt., John Wiley and Sons; 6th Edition 2002

Sl. No.

Course Outcomes


1 Describe and calculate the state of stress and principal stresses at a point and construct the Mohr’s circle.

2 Determine state of a strain at a point and principal strains.

3 Discuss the stress and strain relations.

4 Compute and analyze bending and shear stresses and deflections induced in beams and torsional stresses of thin walled and multiple cell closed sections.

5 Determine stresses in thin and thick cylinders and analyze stress concentration.



Course plan

Course Title: ADVANCED MATERIALS TECHNOLOGY



Course Objectives: The course aims at enhancing the understanding of structure property relationship of engineering materials and processing techniques and applications of advanced engineering materials.

Course Content

UNIT – 1 STRUCTURE-PROPERTY RELATIONS & NEWER MATERIALS Introduction, Atomic structure, atomic bonds, secondary bonds, crystal structure, crystal defects, grain structure, elastic and plastic deformation in single crystals, strain /work hardening, plastic deformation in polycrystalline metals, fracture of metals. Newer Materials: Plastics, polymerization, thermosetting and thermoplastic materials and properties. Ceramic materials and their properties. Composite materials – classification, matrix and reinforcement materials, properties, rule of mixtures, longitudinal strength and modulus (isostrain model), transverse strength and modulus (isostress model), applications of composites.

10 hrs

UNIT – 2 PROCESSING OF OF COMPOSITES Processing of MMCs : matrix and reinforcement materials, diffusion bonding, squeeze casting, reocasting, arc spray forming, superplastic forming, in situ process, applications of MMCs. Processing of CMCs : matrix and reinforcement materials, fabrication of glass fibers, boron fibers, carbon fibers, alumina fibers, silicon carbide fibers. Processing- slurry infiltration process, melt infiltration process, direct oxidation or Lanxide process, applications of CMCs. Processing of PMCs : matrix and reinforcement materials, processing of polyethylene fibers, aramid fibers. Processing of PMCs – hand lay up process, spray-up technique, filament winding process, pultrusion process, autoclave moulding, applications of PMCs.

12 hrs

UNIT – 3 POWDER METALLURGY Introduction, Production of Powder, Characterization & Testing of Powders, Powder Conditioning, Powder Compaction, Sintering, Finishing operations, Applications of PM components.

10 hrs

UNIT – 4 SURFACE TREATMENT Introduction, Surface Engineering, Surface quality & integrity concepts, Mechanical treatment, Thermal spraying processes and applications, Vapour depositions processes and applications, Ion-implantation.

10 hrs



UNIT – 5 NANO TECHNOLOGY Concept of Nanotechnology, Nanomaterials, preparation of Nanomaterials- plasma arcing, CVD, sol-gel method, electrode deposition, ball milling, New forms of carbon, types of nano-tubes, properties of of nano-tubes, Nano material characterization –TEM, scanning probe microscopy, atomic force microscopy, scanning tunneling microscopy, applications of nanotechnology.

10 hrs

Text Books

1 Materials and Processing in Manufacturing 8th Edition – E.Paul Degarmo, J.T.Black, Ronald A Kohser. Prentice Hall India.

2 Composite materials – Science & Engineering, K.K.Chawla. Springer.

3 Powder Metallurgy 2nd Edition – A.K. Sinha. Dhanpat Rai Publications.

4 Nano technology- Basic science and Emerging technology by Mich Wilson, Kamalikannangara NewSouth Publishing, 2002.

References

1 Structure and Properties of Engineering Materials, V.S.R Murthy, A.K.Jena, K.P.Gupta, G.S.Murthy, Tata McGraw Hill.

2 Composite Materials Hand book – M.M.Schwartz, McGraw Hill .

3 Nanotechnology, Rakesh Rathi, S.Chand and company



1 Describe the influence of structural features of materials on their physical properties; Describe composite materials, their properties and applications.

2 Describe the processing techniques of MMCs, CMCs and PMCs. 3 Describe the processing techniques, properties and applications of Powder

Metallurgy components. 4 Describe the processing techniques, properties and applications of surface treatment. 5 Describe the basics of nano technology, processing techniques, properties and

applications of nanomaterials.



Course Plan

Course Title: Computer Applications In Design

Course Code: P15MMDN142 Sem: I L-T-P : 4-0-0

Contact Period: Lecture: 52 Hr; Exam: 3 Hrs Weightage: CIE:50; SEE:50 Course objective: The course aims at producing designers and manufacturing professionals with expertise in application of state of the art knowledge in modeling for computer assisted design.

Course Content

Unit -1 INTRODUCTION: Definitions, Design Process, Product Cycle, Computer Aided Design (CAD)-Review of CAD Hardware, Hardware Integration and Networking. CAD SOFTWARE- Data Structure, Database, Database Management System (DBMS) Database Coordinate System, Working Coordinate System, Screen Coordinate System, Modes of Graphics Operations, User Interface, Software Modules-Operating System(OS) Module, Graphics Module, Applications Module, Programming Module, Communications Module, Modeling and Viewing, Software Documentation and Development.

10hrs

Unit - 2 COMPUTER GRAPHICS: Rasterscan Graphics, DDA Algorithm, Bresenham Algorithm, Anti-Aliasing Lines. Coordinate Systems; Database Structures-Data Structure- Organisation, Data Models; Geometric Model Data, Engineering Data Management (EDM) System TRANSFORMATIONS: Translation, Scaling, Reflection or Mirror, Rotation, Concatenations, Homogeneous Transformation, 2D/3D Transformations-Translation, Scaling, Rotation about, X, Y and Z axes. Mathematics of Projections- Orthographic and Isometric Projections. Clipping, Hidden Line or Surface removal, Color and Shading.

10hrs

Unit- 3 GEOMETRIC MODELING: Requirements of Geometric Modeling, Geometric Models, Geometric Construction Methods, Constraint- Based Modeling, Other Modeling Methods- Cell Decomposition, Variant Method, Symbolic Programming, form Features; Wireframe Modeling- Definitions of Point lines, Circles, Arcs, etc. Modeling Facilities-Geometric Modeling Features, Editing or Manipulating, Display Control, Drafting, Programming, Analytical and Connecting Features GRAPHIC STANDARDS - Standardization in Graphics, Graphical Kernel System (GKS), Other Graphic Standards-GKS 3D, PHIGS, NAPLPS, Exchange of Modeling Data-IGES, STEP, Drawing Exchange Format (DXF), Dimension Measurement Interface Specification (DMIS).

11hrs

Unit - 4 MODELING CURVES & SURFACES: Curve Representation-Line, Circle, Parabola, Hyperbola, Curve Fitting- Interpolation Techniques- Legrangian Polynomial, B-Splines, Approximate Methods-Method of Least Squares, Polynomial Curve Fitting, Synthetic Curves-Hermite Cubic Spline, Bermestine Polynomials, Bezier Curve, rational Curves, NURBS. Surface Representation -Analytic Surfaces, Surfaces of Revolution, Ruled Surfaces, Synthetic Surfaces- Hermite Cubic Surface, Bezier Surface, B-Spline Surface, Coons Surface Patch, Tabulated Cylinder, Sculptured Surfaces, Surfaces of Manipulation-Surface Display, Segmentation.

10hrs



Unit -5 MODELING OF SOLIDS: Solid Representation-Concepts, Boundary Representations (B-Rep), Constructive Solid Geometry (CSG), Half Space Method.

MECHANICAL ASSEMBLY: Introduction, Assembly Modeling, Parts Modeling and Representation, Hierarchical Relationships, Mating Conditions, Inference of Position from Mating Conditions, Representation Schemes, Graph Structure, Location Graph, Virtual Link, Generation of Assembling Sequences, Precedence Diagram, Liaison-Sequence Analysis, Precedence Graph, Assembly Analysis.

11hrs

Text books

1 P.N. Rao, CAD/CAM Principles and Applications, 3rd Ed., McGrawHill, Education Pvt Ltd., New Delhi-110 008, 2002. (Chapter 1, 3, 4, 5, 6, 7)

2 Ibrahim Zeid and R. Shivasubramanian, CAD/CAM Theory &Practice, 2nd Ed., TMH Education Pvt Ltd., New Delhi, 2010 (Chapter 2)

3 Ibrahim Zeid, CAD/CAM Theory & Practice, McGraw Hill, 1998 (Chapter 8) References

1 M.P. Groover and 3 E W Zimmers, CAD/CAM Computer aided Design and Manufacture, Prentice Hall, 1984

2 C.B. Besant and E.W.K. Lui, Computer Aided design and Manufacture, Affiliated East West Press India, 1988.

3 Kunwoo Lee, Principles of CAD/CAM/CAE systems, Addison Wesley, 1999

Course Outcomes

Sl.No. At the end of the course the students should be able to:

1 Explain the Design Process, Product Cycle, CAD , CAD Hardware and Networks. Discuss Data Structure, Database Management System (DBMS), Coordinate Systems and

Software Modules.

2 Explain Rasterscan Graphics, Algorithm’s, Database Structures and organization. Describe 2D/3D Transformations and Apply the transformations to various situations.

3 Discuss the Requirements of Geometric Modeling, Modeling Facilities, 2D Modeling. Describe the Graphic Standards.

4 Identify the different types of Curves & Surfaces. Explain the various Representation and manipulation Techniques

5 Explain techniques of Solid Modeling. Represent and Analyze Mechanical Assemblies



Course plan

Course Title: EXPERIMENTAL MECHANICS


Contact Period: Lecture: 52 Hr; Exam: 3 Hrs Weightage: CIE: 50; SEE: 50

Course Objective: Experimental Stress Analysis provides the knowledge about the experimental techniques to analyze the stresses induced in the mechanical components. It also deals with the direct and indirect methods associated with the measurement of stresses. It includes the concept of brittle coatings, analysis of coating data, crack detection methods and many other photo elastic techniques.

Course Content

UNIT 1: Introduction, Calibration standards, dimension and units, generalized measurement system, basic concept in dynamic measurement, system response, distortion impedance matching, experiment planning, Data acquisition and processing: general data acquisition system, signal conditioning revisited data transmission, analog to digital and digital to analog conversion, basic component(storage and display) of data acquisition system Analysis of experimental data: cause and types of experimental errors, error analysis, statistical analysis of experimental data, probability distribution, Gaussian, normal distribution, chi-square test, method of least square, correlation coefficient multivariable regression, standard deviation of mean, graphical analysis and curve fitting.

10 hrs

UNIT 2: Strain gauge: Characteristics of strain gauge, LVDT, electrical strain gauge, gauge factor, temperature compensation methods, strain rosette: Two element and three element rectangular and delta rosette. Wheat stone bridge, balanced and unbalanced, balancing technique, Potentiometer circuit, sensitivity, range, calibration of potentiometer.

12hrs

UNIT 3: Two dimensional photoelasticity: Introduction, nature of light, wave theory of light, polarization, natural double refraction, stress optic law, effect of stressed models in plane and circular polariscopes, isoclinics, isochromatics, fringe order determination, fringe sharpening, separation methods-shear difference method, numerical problems.

12 hrs

UNIT 4: Coating methods: Birefringence coating technique, reflection polariscope, sensitivity of birefringent coating separation of principal stresses. Brittle coating: coating technique, laws of failure of brittle coating, isostatics and isoentatics, properties of stress coat materials, crack pattern, crack detection technique, Types of brittle coating, calibration of brittle coating materials.

10 hrs



UNIT 5: Holography and Moire Technique Holography: Equation for plane waves and spherical waves, intensity, coherence, recording process, reconstruction process, Holographic interferometer. Moire techniques: Moiré phenomenon, fringe analysis, geometrical approach, displacement approach , advantages and applications.

08 hrs

Text Books

1 Experimental Stress Analysis, Dr.Sadhu Singh, Khanna publishers.

2 Experimental Stress Analysis, Dally and Riley, Mc Graw Hill Publications

References

1 Experimental Stress Analysis, Srinath, Lingaiah, et al., Tata McGraw Hill

2 Photoelasticity Vol I and II, M.M Froncht, John Wiley and sons.

3 Photoelastic Stress Analysis, Kuske Albrecht and Robertson John Wiley

4 Instrumentation, Measurement and Analysis –Nakra and Chaudhry,Tata Mc Graw Hills Companies, Newyark, Seventh Edition,2006

Sl. No.

Course Outcomes


1 Explain Concept of Data acquisition, processing and analysis of Experimental data.

2 Explain Electrical Resistance Strain Gauges and Strain Rosettes circuits for strain measurements and potentiometer.

3 Employ the suitable technique, enumerate and analyse the stresses.

4 Explain the concept of different methods of coating techniques to analyse the stresses.

5 Explain Holography and Moire experimental Technique.



Course Plan

Course Title: ADDITIVE MANUFACTURING

Course Code: P15MMDN152 Sem: L-T-P : 4-0-0


Course Content Course objective: The course enables the students to understand different additive manufacturing techniques also to identify different rapid tools development techniques. Unit -1 Introduction : Definition of Prototype, Types of prototype, roles of prototype, Need for the compression in product development, History of RP systems, classification of RP systems, STL file, and basic steps in RP, advantages and disadvantages of RP system, Survey of applications. Stereolithography Systems: Principle, Process parameter, process details, Data preparation, data files and machine details, merits and demerits, materials, Applications. Case study.

10hrs

Unit - 2 Fusion Deposition Modelling: Principle, Process parameter, merits and demerits, machine details materials, Applications, Case study. Selective Laser Sintering: Type of machine, Principle of operation, process parameters, Data preparation for SLS, merits and demerits, machine details materials, Applications, Case study. Laminated Object Manufacturing: Principle of operation, LOM materials, process parameters, process details, merits and demerits, materials, application. Solid Ground Curing: Principle of operation, process parameters, Machine details, merits and demerits, materials, Applications, Case study.

11hrs

Unit- 3 Laser Engineering Net Shaping (Lens): Principle of operation, process details, merits and demerits, materials, applications, Case study. Medical modeling: method of modeling, MAGICS, MIMICS, MAGIC communicator, etc. Internet based software, Applications, Case study. Concepts Modelers: Concept modelers and its uses, difference between concept modelers and RP machine. Principle of operation, merits and demerits, Applications of Thermal jet printer, Sander’s model market, 3-D printer, Genisys Xs printer, JP system 5, object Quadra systems,

10hrs

Unit - 4 Indirect Rapid Tooling: Types of rapid tooling, Indirect Rapid Tooling -Silicon rubber tooling, Aluminum filled epoxy tooling, Spray metal tooling, Cast Kirksite, 3D Keltool Direct Rapid Tooling — Soft Tooling v/s. Hard tooling. Direct AIM, Quick cast process, Rapid steel 1.0, Rapid steel 2.0, Copper polyamide, and Sand Form. Rapid Tool, DMLS, ProMetal, Sand casting tooling, Laminate tooling,

11hrs

Unit -5 Rapid Manufacturing Process Optimization: factors influencing accuracy, data preparation errors, Part building errors, Error in finishing, influence of build orientation

10hrs



Allied Processes: vacuum casting, surface digitizing, surface generation from point cloud data, surface modification — data transfer to solid models

Text books

1 Paul F. Jacobs: “Stereo 1ithography and other RP & M Technologies”, SME, NY, 1996.

2 Pham D.T & Dimov S.S “Rapid Manufacturing” Verlog London 2001.

References

1 Terry Wohler’s “Wohler’s Report 2000” Wohler’s Association 2000



1 Describe Rapid prototyping techniques.

2 Explain concept modelers

3 Discuss different types rapid tools production

4 Explain rapid prototyping process optimization.

5 Discuss surface digitization from other types of data.



Course Plan

Course Title: Design lab I

Course Code: P15MMDL01 Sem:I L-T-P : 0-0-3

Contact Period: 36 Hr; Exam: 3 Hrs Weightage: CIE:50; SEE:50

Course objective: The course aims at strengthening the domain skill capabilities of students in terms of structural and thermal analysis of machine elements using commercial FEA tools. Further, the course also enhances the ability of the students to analyse experimentally, some of the design aspects of machine elements.

Course Content

PART-A

Exp-1 Basic stress analysis using FEA tool ANSYS

2D problems – axial, bending and shear loading

Exp-2 Basic stress analysis using FEA tool ANSYS

3D problems – axial, bending and torsional loading

Exp-3 Fatigue analysis using ANSYS

3D problems – axial, bending & torsional loading

Completely reversed, repeated and alternate loads

Exp-4 Thermal analysis using ANSYS

Conduction and convection problems

Exp-5 Structural analysis of composite laminates using ANSYS

Rectangular plate with elliptical cut-out

Cylinder with circular cut-out

PART-B

Exp-6 – Rotating beam bending fatigue test

Exp-7 – Polariscope experiments for stress analysis

Exp-8 – Study of pressure distribution in a Journal bearing

Exp-9 – Casting of Metal Matrix Composites

Exp-10 – Processing of Polymer composites by Hand lay up method

Evaluation Scheme

Scheme Weightage Marks Event Break Up

CIE 50% 50 Test Record 20 30

SEE 50% 50 Seminar/viva voce



Course plan

Course Title: Dynamics and Mechanism Design

Course Code: P15MMDN21 Sem:II L-T-P : 4-0-0


Course Objectives: The course aims at strengthening the capabilities of students in the analysis and synthesis of mechanisms by enhancing their understanding of kinematics and dynamics of mechanical systems.

Course Content

UNIT – 1 Principles of Dynamics: Introduction to dynamics, equations of motion, generalized coordinates, Configuration space, Constraints, Virtual work- virtual displacement, virtual work and principle of virtual work, D’ Alembert’s principle, generalized force. Energy and momentum- potential energy, work and kinetic energy, Kinetic energy of a system, Angular momentum, Generalized momentum. Problems on principle of virtual work, D’ Alembert’s principle and generalized force.

11 hrs

UNIT – 2 Lagrange's Equation: Lagrange's equation from D'Alembert's principles, examples. Hamilton’s equations- Hamilton’s principle, Derivation of Hamilton’s equations, examples. Gyroscopic action in machines, Euler's equation of motion, problems on gyroscopic action.

10 hrs

UNIT – 3 System Dynamics: Phase Plane representation, Phase plane analysis, stability of dynamical systems- Liapunov’s direct method and theorems, Routh’s stability criteria. Open and closed loop systems, Proportional, Integral and Derivative control actions and their characteristics. Geometry of Motion: Introduction, analysis and synthesis, Mechanism terminology and definition- mechanism and machine, rigid and resistant bodies, link, kinematic pair, types of kinematic pairs, kinematic chain. Planar, Spherical and spatial mechanisms, mobility, equivalent mechanisms, unique mechanisms, Grashoff’s law.

11 hrs

UNIT – 4 Synthesis of Linkages: Type, number, and dimensional synthesis, Function generation, Path generation and Body guidance, Precision positions, Structural error, Chebychev spacing, Two position synthesis of slider crank mechanisms and crank-rocker mechanism, Crank-rocker mechanisms with optimum transmission angle. Motion Generation: Poles and relative poles, Location of poles and relative poles. Ana1ytical Methods of Dimensional Synthesis: Freudenstein's equation for four bar mechanism and slider crank mechanism, Examples, Bloch's method of synthesis, Analytical synthesis using complex algebra.

10 hrs

UNIT – 5 Graphical Methods of Dimensional Synthesis: Two position synthesis of crank and rocker mechanisms, Three position synthesis, Four position synthesis (point precision

10 hrs



reduction), Overlay method, Coupler curve synthesis, Cognate linkages.

Text Books

1 Theory of Machines and Mechanism – Joseph E. Shigley & J. J. Uicker, McGraw Hill International Editions, 1995.

2 Kinematics, Dynamics and Design of Machinery - K. J. Waldron & G.L.Kinzel, Wiley India, 2007.

3 Classical Dynamics - Greenwood Prentice Hall of India, 1988.

References

1 Mechanism and Machine Theory - A.G.Ambekar, PHI, 2007

2 Theory of Mechanism and Mechanism - Ghosh and Mallick, East West press 2007.

3 Machines and Mechanisms - David H. Myszka, Pearson Education, 2005.

Course Outcomes


1 Define generalized coordinates, constraints, virtual work and D’ Alembert’s principle, estimate the generalized forces in the mechanical system and formulate equation of motion of mechanical systems using virtual and D’ Alembert’s principles.

2 Apply Lagrange’s and Hamilton’s equations to Formulate equation of motion of mechanical systems. Estimate and Analyze the effect of gyroscopic couple on Aero planes, naval ships and automobiles.

3 Describe phase plane analysis of dynamic systems and use of Liapunov’s method and Routh’s stability criteria in stability analysis of systems. Define mechanism terminology, predict mobility of planar mechanisms and draw equivalent mechanisms.

4 Synthesize slider crank and four bar mechanisms using graphical and analytical metods.

5 Synthesize the four bar linkages for the number of positions.



Course plan

Course Title: Advanced theory of vibrations



Course Objectives: The course aims at enabling the students to have a thorough understanding of the principles involved in the analysis of structural vibration and to provide a sound theoretical basis for further study.

Course Content

UNIT – 1 Vibration under General Forcing Conditions Introduction, Response Under a General Periodic Force, Response Under a Periodic Force of Irregular Form, Response Under Nonperiodic Force, Convolution integral, Response to an impulse, Response to step input, Response to general forcing condition, Response to base excitation, Response spectrum, Numerical Problems.

12 hrs

UNIT – 2 Multi-Degree of freedom systems – exact analysis Introduction, Free vibrations-equations of motion, Matrix equations, Influence coefficients, flexibility and stiffness coefficients, Generalized coordinates and coordinate coupling: Only static coupling-no dynamic coupling, Only dynamic coupling-no static coupling, Static and dynamic coupling, Principal coordinates, Modal analysis - Natural frequencies and mode shapes (Eigen values and Eigen vectors), Undamped free vibrations, Undamped Forced vibrations, Torsional vibrations of multi-rotor systems (undamped), Numerical problems.

10hrs

UNIT – 3 Continuous systems Introduction, Transverse Vibration of a String or Cable: free vibration of a uniform string, free vibration of a string with both ends fixed. Longitudinal Vibration of a Bar or Rod: Equation of motion and solution, Torsional Vibration of a Shaft or Rod, Lateral Vibration of Beams, Rayleigh's Method, Rayleigh-Ritz Method, Numerical Problems.

08 hrs

UNIT – 4 Vibration measurement Introduction, Response of single degree of freedom system to base excitation, Vibration measurement scheme, Principle of vibration pickups, Vibrometer, Accelerometer, Velometer, phase distortion, numerical problems. Transducers: Variable resistance transducers, Piezoelectric transducers, Electrodynamic transducers, Linear variable differential transformer (LVDT) transducer. Frequency Measuring Instruments, single-reed and multi-reed instruments, numerical problems. Vibration Exciters: Mechanical exciters, Electrodynamic shaker. Signal Analysis: Spectrum analyzers, Dynamic Testing of Machines and Structures.

10 hrs



UNIT – 5 Non-Linear Vibrations Introduction, Examples of non-linear systems – simple pendulum, vibration of a string, hard and soft spring, variable mass system, abrupt non-linearity, Phase plane, Method of isoclines, phase-plane trajectories of a linear system, trajectory of a system having dry – friction damping. Perturbation method, Forced vibration with non-linear spring forces.

12 hrs

Text Books

1 Mechanical Vibrations: S.S. Rao, Pearson Education Inc, 4th Edition, 2003.

2 Mechanical Vibrations: G.K.Grover, – Nem Chand & Bros., Roorkee, INDIA

References

1 Mechanical Vibrations: S. Graham Kelly, Schaum’s Outline Series, Tata McGraw Hill, Special Indian edition, 2007.

2 Theory & Practice of Mechanical vibrations: J.S. Rao & K. Gupta, New Age International Publications, New Delhi, 2001.

3 Elements of Vibrations Analysis: Leonanrd Meirovitch, Tata McGraw Hill, Special Indian edition, 2007.

4 Mechanical Vibrations: Austin H Church, John Wiley & Sons.



1 Formulate mathematical models for vibrating systems subjected to generalized forcing conditions and analyse system response.

2 Formulate mathematical models of multi-degree of freedom systems and calculate Eigen values and Eigen vectors.

3 Compute system response expressions for continuous systems and calculate response for different boundary conditions.

4 Explain the principle of vibration measurement and signal analysis.

5 Explain the behavior of simple non-linear systems by graphical and analytical methods.



Course Plan

Course Title: Theory of Plasticity



Course objective: The course aims at enabling the students to understand the mathematical and physical principles of plasticity, with different solution strategies while applying them to practical cases.

Course Content

Unit -1: Introduction: Definition and scope of the subject, Brief review of elasticity, Octahedral normal and shear stresses, Spherical and deviatoric stress, Invariance in terms of the deviatoric stresses, Representative stress. Concept of strain, Engineering and natural strains, Cubical dilation, finite strains co-efficient Octahedral strain, Strain rate and the strain rate tensor.

10 hrs

Unit-2: Yield criteria for ductile metals: General considerations Von Mises and Tresca yield criterion, Yield surface for an Isotropic perfectly plastic materials, Haigh-Westergaard Stress space representation of yield criteria, Experimental verification of Yield criteria, Yield criteria for an anisotropic material.

08 hrs

Unit -3: Stress - Strain Relations: Idealised stress-strain diagrams for different material models, Elastic stress –strain relation, Plastic stress-strain relations, Prandtl- Reuss, Saint Venant’s, Levy-Von Mises equations, Plastic work and strain-Hardening hypothesis, Experimental verification of the Prandtl-Reuss equations, The plastic potential, convexity of yield locus.

10 hrs

Unit -4: Plasticity Analysis: Bending of beams-Introduction, analysis of stresses, shear stress distribution, Residual stresses in plastic bending, and Plastic torsion of a circular bar, residual stresses. Simple forms of indentation problems using upper bounds, problems on Extrusion, Drawing, Rolling.

12 hrs

Unit-5: Slip line theory: Introduction, Basic equations for incompressible two dimensional flows, continuity equations (Geiringer), Stresses in conditions of plain strain, convention for slip-lines, solution of plastic deformation problems , Hencky’s equations, boundary conditions, Geometry of slip lines, Properties of slip lines, Construction of Slip-Line Nets.

12 hrs

Text books

1 Engineering Plasticity - Theory and Application to Metal Forming Process - R.A.C..Slater, McMillan Press Ltd.

2 Theory of Plasticity and Metal forming Process - Sadhu Singh, Khanna Publishers, Delhi, Third Edition 1999



References

1 Plasticity for Mechanical Engineers -William Johnson, Peter Bassindale Mellor, Van Nostrand Publisher 1962.

2 Theory of plasticity – Chakraborty,Butter-Heinemann publisher;Third Edition(May 2,2006).

3 Plasticity Theory-Jacob Lubliner-Dover publications Inc. (25 April 2008)

4 Fundamentals of the Theory of Plasticity-L.M.Kachnov, Courier Corporation,

2004

Sl. No.

Course Outcomes


1 Determine the elastic behaviour of solid bodies subjected to various types of loading.

2 Determine the yielding and plastic deformation of solid metal bodies.

3 Establish the plastic stress-strain relations.

4 Calculate plastic deformation and discuss the theorems.

5 Relate macroscopic behavior of plasticity and yielding to microscopic slip line theory



Course Plan

Course Title: Metrology & Computer Aided Inspection Course Code: P15MMD241 Sem:II L-T-P : 4-0-0

Contact Period: Lecture: 52 Hr; Exam: 3 Hrs Weightage: CIE:50; SEE:50 Course objective: This course aims at imparting the knowledge, basic concept and importance of metrology, to educate the students on different types of measurement systems. Learn about the various measuring instruments to measure the linear, angular, form and surface finish measurements. Introduce the applications of computer and laser in the field of metrology, quality control and inspection.

Course Content

Unit -1 LIMITS, FITS AND GAUGES: Introduction, Tolerances, Interchangeability, Limits of size, Terminology, Selection of Fits, ISO System of limits and fits, Types of Gauges, Gauge Design, Problems. Geometric Dimensioning and Tolerancing: Introduction, Geometric Characteristics & Symbols

10hrs

Unit - 2 MEASUREMENT OF STRAIGHTNESS, FLATNESS, SQUARENESS, PARALLELISM, CIRCULARITY AND ROTATION : Straightness, Straight edge, Test for straightness by using spirit level and autocollimator, Flatness testing, Mathematical treatment of determination of straightness and flatness of surfaces, Laser equipment for alignment testing, Parallelism, Equidistance and Coincidence, Squareness, Measurement of circularity, Tests for checking rotation, Profile measurements. MEASUREMENT OF SURFACE FINISH: Introduction, Surface texture and definitions, Surface roughness, Terminology as per Indian Standards, Methods of measuring surface finish- Direct instrument measurement, Replica method, The sample length or Cut-off length, Analysis of surface traces, Assessment of surface roughness as per Indian Standard, Roughness comparison specimens, Mechanical roughness indicator.

10hrs

Unit- 3 MACHINE TOOL METROLOGY: Introduction, Machine tools tests, Alignment tests on lathe, Alignment tests on milling machine, Alignment tests on pillar type drilling machine, Tool wear measurement using microscope. CO-ORDINATE MEASURING MACHINE: Types of CMM, Probes used, Applications, Non-contact CMM using electro optical sensors for dimensional metrology, Non-contact sensors for surface finish measurements, statistical evaluation of data using computer, Data integration of CMM and data logging in computers.

12hrs

Unit - 4 MACHINE VISION: Shape identification, Edge detection techniques, Normalization, gray scale color relation, Template Techniques, Surface roughness using vision system, Interfacing robot and image processing system. LASER APPLICATIONS IN METROLOGY: Laser interferometer, Laser inspection, Dimensional measurement techniques-Scanning Laser gauge, Photo diode array imaging, Diffraction pattern technique, Laser triangulation sensors, Two frequency laser interferometer, Laser scanning gauge and Gauging wide diameter from the diffraction pattern formed in a laser.

10hrs



Unit-5

TESTING AND CALIBRATION OF GAUGES AND DYNAMIC MEASUREMENT: Introduction, calibration of linear and angular measuring instruments, measurement of limit gauges, checking of slip gauges, dynamic measurement of size, form and position, automatic inspection machines, measurment during machining, electronic gauging, contactless three dimensional measurement by laser based system, multi-dimensions automatic gauging and sorting machines, electro-optical inspection, some recent developments in optical measurements.

EVALUATING UNCERTAINTY IN MEASUREMENT: Introduction, sources of uncertainty in measurements, method of evaluation of uncertainty, competence of testing and calibration laboratories, apex level calibration 2nd NPL, international traceability, mass metrology, coordinate measuring machine and uncertainty in measurements, length measurement uncertainty of CMM

10hrs

Text books 1 Beckwith T.G, and N. Lewis Buck, “Mechanical Measurements”, Addison Wesley, 1991 2 Sensors and Control systems in Manufacturing, Sabrie Soloman, McGraw Hill Book. 3 Donald D Eckman, “Industrial Instrumentation”, Wiley Eastern, 1985. 4 Fundamentals of Dimensional Metrology, T. Busch and R. Harlow, Delmar, 3e. 5 Engineering Metrology, G. Thomas and G. Butter Worth, PUB. 6 Alan S. Morris, “The Essence of Measurement”, Prentice Hall of India, 1997 7 Measurement systems: Applications & Design, Doebelin, International Student Edition.

References 1 Jain R.K., “Engineering Metrology”, Khanna Publishers, 1994

2 Interface Technology for Computer Controlled Manufacturing processes, Ulrich- Rembold, Armbruster and Ulzmann, Marcel Dekker Publications, NY.

3 Optoelectronics, J. Watson, Van Nostrand Rein Hold (UK) Company. 4 Jayal A.K, “Instrumentation and Mechanical Measurements”, Galgotia Publications 2000 5 Optoelectronics for Technology and Engineering, Robert G. Seippel, Prentice Hall India 6 Gupta S.C, “Engineering Metrology”, Dhanpat rai Publications, 1984

Course Outcomes


1 Define limits, fits and gauges. Explain tolerances, interchangeability, ISO system of limits and fits. Solve problems.

2 Define surface finish. Explain surface texture, surface roughness and methods of measuring surface finish. Explain Measurement of straightness, flatness, squareness, parallelism, circularity and rotation.

3 Define machine tool metrology. Explain machine tools tests, alignment tests and tool wear measurement using microscope. Explain co-ordinate measuring machine, data integration of CMM and data logging in computers. List types of CMM.

4 Define Machine Vision. Explain different types of identification and detection techniques using Machine Vision. Define and Explain Laser applications in metrology.

5 Explain uncertainty in measurements and method of evaluation of uncertainty. Discuss Testing and Calibration of gauges and dynamic measurement



Course plan

Course Title: Design of Automotive Engine and Transmission Components



Course Objectives: The course aims at enhancing the understanding of the students regarding design of engine components and transmission elements of automobiles.

Course Content

UNIT – 1 Heat Engines & their classification. Fundamentals of Reciprocating IC Engines - Basic Engine Components & Nomenclature, Principle of engine operation, Classification of I C engines, Comparison of IC Engines, Construction, working and Design of major dimensions of Cylinder Block, Cylinder heads, Crank Case, Manifolds and Mufflers

10 hrs

UNIT – 2 Design of Engine Components: Construction, working and Design of major dimensions of Piston, Piston Rings, and Piston pin, Connecting Rod and Crank Shaft, Valve and Valve Mechanism, Camshaft.

10hrs

UNIT – 3 Design of Transmission Elements I: Necessity of clutch in an automobile, different types of clutches, friction clutches namely Single plate clutch, multi plate clutch, cone clutch, centrifugal clutch, electromagnetic clutch, hydraulic clutches, Clutch - adjustment, requirements of a clutch , Clutch materials, clutch lining ,Vacuum operated clutch, Numerical problems. Fluid Couplings and its characteristics.

11 hrs

UNIT – 4 Design of Transmission Elements II: Resistances to Motion of the Automobile, Traction, tractive effort, need for transmission, Necessity of gear box, Calculation of gear ratios , Performance characteristics in different gears , Desirable ratios of 3 speed & 4 speed gear boxes, Sliding-mesh gear box , Constant-mesh gear box, synchromesh gear box, five speed and reverse single stage synchromesh gear box with integral final drive, auxiliary transmissions, compound transmissions, dual- clutch transmission, continuously variable transmission, numerical problems. Torque converters–Types, Performance characteristics.

11 hrs

UNIT – 5 Design of Transmission Elements III Construction, working and Design of major dimensions - Propeller shafts - types , whirling of propeller shaft, Universal joints- analysis of Hooke’s joint, double Hooke’s joint, Numerical problems. Final drive- types, Differential - types of differential gears, conventional and non-slip differentials, backlash, differential lock, inter-axle differential, transaxle types. Rear axle - Torque reaction, driving thrust, Hotchkiss drive, torque tube drive, rear axle shaft supporting arrangements, axle housings, numerical problems.

10 hrs



Text Books

1 A course in I.C. Engines: Mathur & Sharma, Dhanpat Rai & Sons, Delhi.

2 Advanced vehicle technology: Heinz Heisler, 2002

3 Automotive Mechanics: N.K Giri, Khanna Publication, New Delhi, 2014

References

1 High Speed Engines - P.M.Heldt, Oxford & IBH

2 Fundamentals of Automatic Transmission by William Hasselbee

3 Torque converters: P.M. Heldt, Oxford & IBH, 1975

4 Machine design - P.C. Sharma & D.K. Aggarwal, S.K Kataria & sons, Delhi.



1 Know about heat engines, Reciprocating I C engines Engines, Define the working principle, types and construction. Distinguish different types engines.

2 Comprehend the Construction, working and Compute major dimensions of engine components like cylinder block, crank case & cylinder heads, Manifolds and Mufflers, piston, piston rings, piston pin, connecting rod, crank shaft, valve and valve mechanism.

3 Define the Construction and working of different clutches and Fluid couplings. Compute major dimensions of clutches.

4 Describe the construction and working of different types of transmission, Torque converters. Calculate the gear ratio, speed of vehicle and number of teeth on driving and driven gears.

5 Explain the construction and working of different Transmission components like Propeller Shaft universal joint, Final Drive, Differential and Rear Axles. Compute major dimensions of Transmiss

ion components.



Course plan

Course Title: Fracture Mechanics



Course Objective: Fracture mechanics provides methodology for prediction, prevention and control of fracture in materials, components and structures subjected to static, dynamic and sustained loads. Fracture mechanics analysis is the basis for damage tolerant design methodology. It quantifies toughness as material resistance to crack propagation.

Course Content

UNIT – 1

Fracture Mechanics Principles: Introduction and historical review, Sources of micro

and macro cracks. Stress concentration due to elliptical hole, Strength ideal

materials, Griffith’s energy balance approach. Fracture mechanics approach to

design. NDT and Various NDT methods used in fracture mechanics. The Airy stress

function, Complex stress function, Solution to crack problems, Effect of finite size,

Special cases, Elliptical cracks, Numerical problems.

12 hrs

UNIT – 2

Linear Elastic Fracture Mechanics: Plasticity effects, Irwin plastic zone correction.

Dugdale approach. The shape of the plastic zone for plane stress and plane strain

cases, Plastic constraint factor. The thickness effect, numerical problems.

Determination of Stress intensity factors and plane strain fracture toughness:

Introduction, analysis and numerical methods, experimental methods, estimation

of stress intensity factors. Plane strain fracture toughness test, The Standard test,

Size requirements, Non-linearity. Applicability.

10hrs

UNIT – 3

Elastic-plastic Fracture Mechanics: The energy release rate, Criteria for crack

growth, The crack resistance(R curve), Compliance, J integral, Tearing modulus,

Stability, Elastic plastic fracture mechanics: Fracture beyond general yield. The

Crack-tip opening displacement. The Use of CTOD criteria, Experimental

determination of CTOD, Parameters affecting the critical CTOD. Use of J integral.

Limitation of J integral.

10 hrs

UNIT – 4

Dynamics and crack arrest: Crack speed and kinetic energy, Dynamic stress

intensity and elastic energy release rate, Crack branching, Principles of crack arrest,

Fatigue pre-cracking, Instrumentation, K-R Curve, Damage Tolerant Design

Methodology.

10 hrs

UNIT – 5

Fatigue crack propagation and applications of fracture mechanics: Crack growth

laws, Factors affecting crack propagation. Variable amplitude service loading,

10 hrs



Means to provide fail-safety, Mixed mode fracture and strain energy density

criteria, Computational Fracture Mechanics.

Text Books

1 Fracture Mechanics-Fundamental and Application: T.L. Anderson, Taylor and Francis group, CRC Press, Boca Raton, 3rd ed., 2005.

2 Elementary Engineering Fracture Mechanics: David Broek, Noordhoff, 2011

3 Elements of Fracture Mechanics: Prasanth Kumar, McGraw Hill

Educational(India)Ltd, New Delhi,2009

References

1 Principles of Fracture Mechanics: R. J. Sanford, Prentice Hall, Pearson Education Inc. 2003.

2 Engineering fracture mechanics - S.A. Meguid, Elsevier Applied Science, 1989

3 Fundamentals of fracture mechanisms - Knott, Butterworths, 1973.

4 Fracture of Engineering Brittle Materials, Applied Science - Jayatilake, Applied

Science Publishers, 1979.

Sl. No.

Course Outcomes


1 Develop basic fundamental understanding of the effects of crack like defects on the

performance of aerospace, mechanical and civil engineering structures.

2 Understand LEFM and different test methods in fracture mechanics.

3 Analyze EPFM criteria and nonlinear behaviour of the material

4 Conceptualize the dynamics of crack propagation and crack arrest techniques

5 Describe the concept of fatigue crack growth law and mixed mode criteria



Course Content

Course Title: Industrial Robotics

Course Code: P15MMD252 Sem: II MTech L-T-P : 4-0-0


Course objective: To be familiar with the automation and brief history of robot and applications. To give the student familiarities with the kinematics of robots, Knowledge about Autonomous Mobile Robots and their design. Mobile Robot Maneuverability. Knowledge about Mobile Robot Planning & Navigation.

Unit -1 BASIC CONCEPTS IN ROBOTICS: Introduction, Advantages & Applications of robots, Non Industrial applications, Anatomy of Robots, Resolution, Accuracy & Repeatability, Position Representation and Examples CLASSIFICATIONS & STRUCTURES OF ROBOTIC SYSTEMS: Point to Point Robotic systems, Continuous-path Robotic systems, Structure of Manipulator-Cartesian Coordinate Robots, Cylindrical Coordinate robots, Spherical Coordinate robots, Articulated Robots, Direct & Indirect drives; Trajectory Planning, Interpolators- Absolute and Incremental Interpolators; Control loop of Robotic Systems, Wrist Motions &Types of Grippers, Structure of Continuous Path Robot Systems

11 hrs

Unit - 2 DRIVES & CONTROL SYSTEMS: Hydraulic Power supply-Servovalve, Sump, Hydraulic Motor. Direct Current Servomotors-Principle of operation, Dynamic Response Gearing. Control Approaches of Robots, Control loops-Using Current Amplifier, Control loops Using Voltage Amplifier, Elimination of Stationary position errors.

10 hrs

Unit- 3 KINEMATIC ANALYSIS & COORDINATE TRANSFORMATION: Direct Kinematic Problem in Robotics, Geometry based direct Kinematic Analysis Coordinate & Vector Transformation using Matrices, The orientation Matrix & Translator Vector, Homogeneous Transformation Matrices, Three dimensional Homogeneous Transformations, Denavit-Hartenberg Convention-Implementing the DH Convention, Obtaining the DH Displacement Matrices. Applications of DH method- Three axis Robot Arms, Three Axis wrists, six axis Robot Manipulators, Assigning the Tool Coordinate System

11 hrs

Unit - 4 AUTONOMOUS MOBILE ROBOTS: Introduction, Locomotion - Key issues for locomotion, Legged Mobile Robots, Leg-Types and configurations & stability, Examples of legged robot locomotion, Gaits-Biped, Quadraped and Hexaped; Wheeled Mobile Robots, Wheeled locomotion-the design space, Wheeled locomotion and Case studies MOBILE ROBOT KINEMATICS: Introduction, Kinematics Models & Constraints, Representing robot position, Forward Kinematics models, Wheel Kinematics constraints, Robot kinematics constraints and Examples

10 hrs



Unit -5 MOBILE ROBOT MANEUVERABILITY : Mobile Robot Maneuverability- Degree of mobility, Degree of steerability, Robot maneuverability. Mobile Robot Workspace-Degree of freedom, holonomic robots, path & trajectory considerations. Motion Control - Openloop control, Feedback control and Examples MOBILE ROBOT PLANNING & NAVIGATION: Introduction, Competences for Navigation-Planning & Reacting, Path planning, Obstacle avoidance. Navigation Architectures-Modularity for code reuse & sharing, Control localization, Techniques for decomposition, Case studies-tiered robot architectures

10 hrs

Text books

1 Y.Koren, “Robotics For Engineers”, McGraw Hill, 1987.

2 M.P.Groover, “Industrial Robotics” , McGraw Hill, International Edition, 1986.

3 Roland Siegwart&Illah R Nourbakhsh, “Introduction to Autonomous Mobile Robots”, EEE Ed PHI 2004

References

1 John J Craig, “Introduction to Mechanics & Control” , 3rdEd. Addison-Wesley.

2 J.Duffy, “Analysis of Mechanism and Robot Manipulators”, John Willey & Sons, 1980.

Course Outcomes


1 Define and Classify Robots and Structures of Robotic Systems

2 Define Drives & Control Systems of Robots. Explain Hydraulic Power supply, Hydraulic Motor, Direct Current Servomotors

3 Define Kinematic Analysis, Direct Kinematic Problem in Robotics. Describe Three dimensional Homogeneous Transformations, Denavit-Hartenberg Convention, Applications of DH method

4 Define and Classify Autonomous Mobile Robots. Describe Mobile Robot Kinematics

5 Describe Mobile Robot Maneuverability- Degree of mobility, Degree of steerability, Motion Control. Explain Mobile Robot Planning & Navigation.



Course Plan

Course Title: Design lab II

Course Code: P15MMDL02 Sem:I L-T-P : 0-0-3

Contact Period: 36 Hr; Exam: 3 Hrs Weightage: CIE:50; SEE:50

Course objective: The course aims at enhancing the ability of students to analyze and characterize mechanical systems subjected to various operating conditions. The course also helps the students in understanding the influence of material and geometry of the component on its structural characteristics.

Course Content

PART-A

Exp-1 Modal analysis of machine elements using ANSYS

Eg.: Natural frequency and mode shapes of connecting rod, crank, turbine rotor, gears

Exp-2 Harmonic analysis of machine elements using ANSYS

Eg.: Harmonic analysis of connecting rod, crank etc.

Exp-3 Non-linear stress analysis using ANSYS

Eg.: Rectangular steel plate with circular hole at centre.

Exp-4 Fluid flow analysis using ANSYS

Exp-5 CFD analysis using ANSYS

PART-B

Exp-6 – Experiment on forced vibrations.

Exp-7 – Determination of natural frequency of continuous system.

Exp-8 – Vibration characterization using FFT analyzer.

Exp-9 – Wear study using pin-on-disc equipment.

Exp-10 – Experiment on thrust bearing

Evaluation Scheme

Scheme Weightage Marks Event Break Up

CIE 50% 50 Test Record 20 30

SEE 50% 50 Seminar/viva voce



Course plan

Course Title: TRIBOLOGY AND BEARING DESIGN

Course Code: P15MMDN31 SemIII L-T-P : 4-0-0


Course Objectives: Tribology is the science and engineering of friction and wear between two bodies in relative motion. Knowledge of tribology is essential for a design engineer in his practice to reduce energy consumption in mechanical systems. This course provides the necessary theoretical background for the design of fluid film bearings.

Course Content

UNIT – 1 Introduction: Nature of surfaces – Analysis of surface roughness, Measurement of surface roughness, Friction – Causes, adhesion theory, abrasive theory, junction growth theory, laws of rolling friction, Wear - mechanisms, adhesive wear, abrasive wear, corrosive wear, fatigue and fretting wear, wear analysis, Lubrication and lubricants – types and properties of lubricants, lubricant additives, Newton's Law of viscous forces, effect of pressure and temperature on viscosity, viscosity index, regimes of lubrication, Numerical problems.

10 hrs

UNIT – 2 Fluid dynamics fundamentals: Hagen - Poiseuille’s theory, Flow through stationary parallel plates, Pressure induced and velocity induced flow, Numerical problems. Hydrodynamic Bearings: Concept of lightly loaded bearings, Petroff’s equation, Pressure development mechanism. Reynolds' 2D equation with assumptions. Introduction to idealized slider bearing with fixed shoe and Pivoted shoes. Expression for load carrying capacity and Location of center of pressure of idealized slider bearing, Numerical problems

12 hrs

UNIT – 3 Journal Bearings: Introduction to idealized full journal bearings. Load carrying capacity of idealized full journal bearings, Sommerfeld number and its significance. Comparison between lightly loaded and heavily loaded bearings, Numerical problems. Bearing design: Introduction, Practical considerations, Design of journal bearings.

10 hrs

UNIT – 4 Hydrostatic Bearings: Types of hydrostatic Lubrication systems Expression for discharge, load carrying capacity, Flow rate, Condition for minimum power loss. Torque calculations. Numerical problems. Elastohydrodynamic Lubrication: Introduction, Theoretical consideration, Grubin type solution, Accurate solution, Different regimes in EHL contacts.

10 hrs

UNIT – 5 Gas Bearings: Introduction to gas lubricated bearings. Governing differential equation for gas lubricated bearings.

10 hrs



Porous Bearings: Introduction to porous bearings. Equations for porous bearings and working principle. Magnetic Bearings: Introduction to magnetic bearings, Active magnetic bearings. Different equations used in magnetic bearings and working principle. Advantages and disadvantages of magnetic bearings, Electrical analogy, Magneto-hydrodynamic bearings.

Text Books

1 Introduction to Tribo logy of Bearing, Mujamdar.B.C, Wheeler Publishing, New Delhi 2001

2 Lubrication of Bearings - Theoretical principles and design, Radzimovsky, The Oxford press Company, 2000.

References

1 Introduction to Tribology , Bharath Bhushan, John Wiley and Sons, 2013

2 Engineering Tribology, Stachowiak G W, Batchelor A W, Elsevier Butterworth-Heinemann, 2005

3 Applied Tribolgy, Michael M. Khonsari, E. Richard Booser, Second Ed., John Wiley and Sons, 2008

4

Active Magnetic bearings, Gerhandschwetizer, Hannes Bleuler & Alfons Traxler, Authors working group, www.mcgs.ch., 2003



1 Explain nature of surfaces and parameters used in characterizing surface roughness, laws of friction, theories of friction and different wear mechanisms.

2 Describe the pressure development mechanism in fluid film bearings and derive Reynolds 2D equation.

3 Apply Reynolds equation to pad and plain bearings to estimate pressure distribution and load carrying capacity.

4 Apply Reynolds equation to hydrostatic bearings bearings and estimate load carrying capacity, frictional torque.

5 Derive governing differential equations for gas and porous bearings.



Course plan

Course Title: Vehicle dynamics

Course Code: P15MMD321 Sem:III L-T-P : 4-0-0


Course Objectives: The course aims at strengthening the automobile design capabilities of students by enhancing their understanding of various dynamic forces acting on an automobile and the stability issues.

Course Content

UNIT – 1 Introduction: introduction to vehicle dynamics, the driver-vehicle-ground system, SAE vehicle coordinate system. Tire fundamentals: desirable tire properties, tire force and movements, rolling resistance of tier, factors affecting the rolling resistance of tire. Tire construction, Bias-ply tire, radial –ply tire, hydro planning, specification of tire, factors affecting tire life. Acceleration performance: power for propulsion, air resistance, rolling resistance, grade resistance, traction and traction effort, road performance curve, calculation of equivalent weight, Numerical problems.

10 hrs

UNIT – 2 Vehicle stability: stability on level ground, front wheel driven vehicle, rear wheel driven vehicle, four wheel driven vehicle, vehicle taking turn on level ground, stability on inclined ground, stability of vehicle running on a banked track, determination of centre of gravity of a vehicle, transverse weight shift due to drive torque, effect of C.G position on maximum achievable acceleration, stability of two and three wheeler vehicles and Numerical problems.

12 hrs

UNIT – 3 Braking system and performance: braking requirements, construction and comparison of drum brake and disc brake, introduction to hydraulic braking system. Energy of motion and frictional force, brake balance, stopping distance, brake fade, work done in brakes, braking efficiency, load transfer during braking, brake applied to rear wheels, brakes applied to front wheel, brake applied to four wheels, brake proportioning, conditions for wheel lockup, antilock brake system.,Numerical problems.

10 hrs

UNIT – 4 Handling characteristics of road vehicles: steering geometry, effect of camber, kingpin inclination, castor, toe-in, toe-out, condition for true rolling, turning circle radius. Ackerman linkage geometry – analytical and graphical solution, four wheel steering. Cornering properties of tiers – cornering force, slip angle, self aligning torque, Steady state handling characteristics: fundamental equation, neutral steer, under steer, over steer, steady state response to steering input, yaw velocity response, lateral

10 hrs



acceleration response, curvature response, testing of handling characteristics and Numerical problems.

UNIT – 5 Vehicle ride characteristics: vehicle vibration and human comfort, vehicle ride models, two – degrees of freedom vehicle model for sprung and unsprung mass, two degrees of freedom vehicle model for pitch and bounce, introduction to random vibration, frequency response function, evolution of vehicle vibration. Aerodynamics: mechanics of air flow around vehicles, pressure distribution on a vehicle, aerodynamics forces and moments. Effect of shape, angle of attack, operation parameters on drag and lift, aerodynamic aids.

10 hrs

Text Books

1 “Theory of Ground Vehicles”, by J.Y.Wong, Wiley publications-2004.

References

1 “Fundamentals of Vehicle Dynamics” by Thomas D. Gillespie, SAE -2008.

2 “Automobile Mechanics” by N.K.Giri, Khanna publications-2011.

3 “Vehicle Dynamics” by Reza N.Jazar, springer publications-2009.



1 Describe mechanics of pneumatic tiers; Explain performance of vehicle during acceleration at different road and operating conditions.

2 Describe stability of vehicle when the vehicle is moving on level ground and inclined ground.

3 Explain performance of vehicles during braking at different road and operating conditions.

4 Explain steering geometry, effect of steering geometry on handling characteristics, steady state handling characteristics.

5 Describe cause of vibration in vehicles, different mathematical model for vertical vibration of a vehicle; Explain different aerodynamic forces and movements, various parameters affecting these forces and movements.



Course plan

Course Title: Acoustics and Noise Control



Course Objectives: To introduce the students to fundamental acoustic concepts and to give the necessary background for more specialized courses in acoustics and noise control.

Course Content

UNIT – 1

Acoustic plane waves:-Elastic behavior of fluids, plane wave equation, harmonic solution of plane wave equation, velocity of sound in field, energy density of plane wave, acoustic intensity, specific acoustic impedance, acoustic standards and reference conditions, decibel scales, problems.

10 hrs

UNIT – 2

Transmission phenomena :- Change in media, transmission from one fluid media to another; normal incidence, reflection at the surface of a solid; normal incidence, standing wave pattern, transmission through three media; normal incidence, transmission from one fluid media to another; oblique incidence, transmission loss for wall: stiffness controlled region, mass controlled region, damping controlled region, problems.

12 hrs

UNIT – 3

Spherical acoustic wave:- General wave equation, spherical wave equation, harmonic spherical waves specific acoustic impedance, intensity of spherical wave, spherical radiation from a simple source, infinite baffle, radiation from a piston, pressure and intensity distribution, beam width and directivity index, sound intensity near piston source, reaction on a vibrating piston, radiation impedance, problems.

10 hrs

UNIT – 4

Acoustic Measurements:- Sound level meter, intensity level meter, octave band filters, acoustic analyzer, dosimeter, measurement of sound power in a reverberant room, sound power measurement in an anechoic or semi anechoic room, sound power survey measurement, measurement of the directivity factor, noise measurement procedures, problems.

10 hrs

UNIT – 5

Acoustic criteria:- Human ear, hearing losses, industrial noise criteria, speech interference level, noise criteria for interior space, community reaction to environmental noise, perceived noise level, noise exposure forecast.

Noise source and noise control:- sound transmission indoor and out door, fan noise, electrical motor noise, gas compressor noise, transformer noise, valve noise, noise prediction for gas flow, acoustic enclosure, acoustic barrier: barrier located outdoor, barrier located indoor, engine noise control.

10 hrs



Text Books

1 Fundamentals of acoustics (second edition) –L.E.Kinsler and A.R.Frey, Wiley Eastern Edition

2 Industrial noise control and acoustics –Rundall F. Barron, Marcel Dekker inc. Newyark

References

1 Noise and vibration control – Leo. L. Beranek, Institute of noise control



1 Describe fundamental acoustic concepts such as the sound pressure, the particle velocity, the speed of sound, the characteristic impedance of the medium.

2 Describe and interpret plane sound fields and spherical sound field, including standing waves

3 Calculate sound transmission between two fluids

4 Explain the effect of a reflecting plane

5 Assess complex occupational and environmental noise problems using acceptable assessment criteria.

6 Understand the importance of protecting the community from excessive noise and how it damages the hearing mechanism.

7 Employ proper instrumentation for noise measurement and understand the type of measurements appropriate for various situations.

8 Design noise control fixtures and develop strategies to reduce occupational and environmental noise to acceptable levels.



Course plan

Course Title: Mechanics of composite materials



Course Objectives: The course aims at enhancing the capacity of the students to analyze structural characteristics of composite structures.

Course Content

UNIT 1: Stress-Strain relations: Introduction, Stress-Strain relationships for different types of materials, Stiffnesses, Compliances and Engineering constants for Orthotropic materials- Derivation of nine independent constants, Invariant properties. Two dimensional relationship of Compliance and stiffness matrix, Stress-strain relationship for a lamina of arbitrary orientation- Engineering constants, Numerical Problems.

10 hrs

UNIT – 2 Biaxial Strength Theories and Material Selection: Introduction, Maximum stress theory, Maximum strain theory, Tsai-Hill theory, Hoffman theory, Tsa-Wu Tensor theory. Materials selection factors- Fiber selection factors, Matrix selection factors, Importance of constituents.

10 hrs

UNIT – 3 Macro Mechanical Behavior of a Lamina: Introduction, Classical Lamination theory, Stress strain variation in a laminate-Kirchhoff hypothesis, Stress-strain variation of a laminate, Resultant forces and moments, A, B and D matrices (Detailed derivation), Special cases of Laminates, Numerical problems.

12 hrs

UNIT – 4 Micro Mechanical Analysis of a Lamina: Introduction, Determination of four the elastic moduli, Rule of Mixtures, Elasticity approach to stiffness, Exact solutions- Halpin-Tsai Equations, MOM approach to strength- Tensile strength in fiber direction, Fibers of equal strength, Compressive strength in fiber direction, Numerical problems.

10 hrs

UNIT – 5 Strength of Laminates: Introduction, Laminate strength analysis procedure, Mechanical and thermal stress analysis, Strength of cross ply laminates, Strength of angle ply laminates. Interlaminar stresses- meaning, experimental confirmation, Interlaminar stresses in cross ply laminates.

10 hrs

Text Books

1 Mechanics of Composite Materials, Robert M.Jones, Second edition, Taylor and Francis Inc.

2 Mechanics of composite materials, Autar K. Kaw CRC Press, NewYork.



References

1 Composite Material handbook, Mein Schwartz Mc Graw Hill Book Company, 1984

2 Stress Analysis of Fiber Reinforced Composite Materials, Michael W, Hyer Mc-Graw Hill International

3 Composite Material Science and Engineering, Krishna K. Chawla Springer

4 Fiber Reinforced Composites, P.C Mallik Marcel Decker



1 Apply stress-strain relationships in fibre reinforced composite materials. 2 Explain failure theories related to composite materials 3 Explain stress-strain characteristics of laminates 4 Explain elastic properties of laminates 5 Explain strength characteristics of laminates



Course Content

Course Title: Statistical Modeling and Experimental Design

Course Code: P13MMDN331 Sem:III L-T-P : 4-0-0


Course objective: The objective of this course is to frame business problems in appropriate statistical terms in order use data to make better decisions. The students will learn to make sense of data along with the basics of statistical inference and regression analysis and their hands-on implementation using software.

Unit -1 STATISTICAL MODELING AND DATA ANALYSIS: Introduction, Review of basic statistical concepts: Concepts of random variable, Sample and population, Measure of Central tendency; Mean, median and mode. Normal & Log- Normal distributions. Illustration through Numerical examples.

10hrs

Unit - 2 INTRODUCTION TO DESIGNED EXPERIMENTS: Strategy of experimentation, Some typical applications of experimental design, Basic principles, Guidelines for designing experiments, A brief history of statistical design, Summary: Using statistical techniques in experimentation.

10hrs

Unit- 3 FACTORIAL EXPERIMENTS Basic definitions, The advantages of factorials, The two factorial design. Introduction, Factorial Experiments Terminology: factors, levels, interactions, Two-level experimental designs for two factors and three factors. Illustration through Numerical examples.

10hrs

Unit - 4 REGRESSION ANALYSIS: linear and multiple Regression analysis, Mathematical models from experimental data. Illustration through Numerical examples.

10hrs

Unit -5 SIGNAL TO NOISE RATIO: Evaluation of sensitivity to noise. Signal to Noise ratios for static problems: Smaller-the-batter type, Nominal the-better-type, Larger-the better type. Signal to Noise for Dynamic problems. Illustration through Numerical examples.

12hrs

Text books

1 Design and Analysis of Experiments, Douglas C. Montgomery, 5th Edition Wiley India Pvt. Ltd. 2007

2 Quality engineering using robust design, Madhav s. Phadke, Prentice Hall PTR, Enflewood Cliffs, New Jersy 07632, 1989.



References

1 Quality if experimental design, Thomas B. Barker, Marcel Dekker, Inc ASQC Quality Press.1985.

2 Experiments Planning Analysis, and Paramentr Design Optimization, C.F. Jeff Wu Michael Hamada, Wiley Editions. 2002.

3 Reliability Improvement by Experiments, W.L. Condra, Marcel Dekker Inc ASQC Quality Press.1985

4 Taguchi Techniques for Quality Engineering, Phillip j. Ross, 2nd Edn. Mcgraw Hill International Editions, 1996.



1 Describe basic statistical concepts. Solve numerical on Mean, median and mode

2 Explain Guidelines for designing experiments.

3 Discuss Factorial Experiments Terminology

4 Explain Regression analysis. Solve Mathematical models

5 Discuss signal to noise ratio.



Course plan

Course Title: Theory of Plates and Shells



Course Objective: Theory of plates and shells provides the knowledge about the bending aspects of plates, Differential analysis of loaded plates, behavior of plate material when it is fabricated into shells, different theories which explain about cylindrical shell loaded symmetrically, investigates on bending of cylindrical shells.

Course Content

UNIT – 1 Introduction: Bending of long rectangular plate into a cylindrical surface, cylindrical bending of rectangular plates, Equilibrium equation of rectangular plates, Differential equation - Bending of plated with different boundary conditions - Long plate on elastic foundation, strain energy in pure bending of plates.

10 hrs

UNIT – 2 Pure Bending: Moment and curvature relations problems of simply supported plates-Strain energy impure bending. Numericals. Symmetrical Bending of Circular Plates: Basic relations in polar co-ordinates, Axi-symmetric circular plates, Differential equation uniformly loaded plates, Plates concentricity loaded plates- loaded at the center, Annular circular plates, Numericals.

12hrs

UNIT – 3 Plate subjected to combined lateral and in-plane loading: Differential equations - Solution of simply supported plate Various loading conditions, viz, uniformly distributed load, hydrostatic pressure and concentrated load, central as well as non-central, Navier and Levy type solutions with various edge boundary conditions, viz., all edges simply supported, Two opposite edge fixed and two adjacent fixed\, comparison between Lavy’s and Navier’s solution Bending of plate under combined action of lateral and transverse loads derivation of differential equation, simply supported rectangular plate.

12 hrs

UNIT – 4 Introduction to Shell Structures - General description of various types. Classification, Membrane Theory of thin shells (Stress Analysis): Cylindrical shells -Spherical Shells- Shells of double curvature, viz, cooling tower Hyperbolic, Parabolic and elliptic paraboloid. Membrane Deformation of Shells: Symmetrical 'loaded shell, symmetrically loaded spherical shell.

10 hrs



UNIT – 5 Theories of cylindrical shells: DKJ theory, Beam theory, Bending theory, Cylindrical shell loaded symmetrically. General equation of circular cylindrical shells. Approximate investigation of bending of circular cylindrical shell.

08 hrs

Text Books

1 Theory of plates and Shells - Timoshenko, Woinowsky and Krieger, McGraw Hill, Newyork.

2 Stresses in plates and shells—Ansel C Ugral

3 Thin Plates and Shells: Theory: Analysis, and Applications, Eduard Ventsel, Theodor Krauthammer, Marcell Dekker Inc, New York.

References

1 Theory of plates--Bairagi

2 Theory of Elastic Thin Shells - Goldnvizer, Pergamon Press, New York.

3 Stresses in Shells - Flugge, Springer Verlag, Berlin.

Sl. No.

Course Outcomes


1 Explain the bending aspects of plates

2 Understand aspects of Symmetrical Bending of Circular Plates

3 Use different equations for combined lateral and in-plane loading on plates

4 Conceptualize the types of shells

5 Analyze using different theories of cylindrical shells



Course plan

Course Title: ROTOR DYNAMICS



Course Objectives: The course aims at strengthening the students capability in understanding the dynamic behavior of rotor systems by enhancing their knowledge of theory of vibration.

Course Content

UNIT – 1

Torsional Vibrations in rotating Machinery: Modelling of rotating machinery shafting, Transfer matrix analysis for free vibrations, Equivalent discrete system, Excitation torque – electrical unbalance in a generator and transient electric motor of a steel mill stand, Transient response in torsional vibration, Branched systems. Torsional Vibrations in reciprocating Machinery: Modelling of the reciprocating machine systems, Free vibration calculations, Excitation torque, Forced vibration and resonant stresses – critical speeds and solution of equations by modal expansion method, Cyclic irregularity.

12 hrs

UNIT – 2

Bending Critical Speeds of Simple Shafts: Whirling of an unbalanced simple elastic rotor, Simple shafts with several disks- Dunkerley’s method and Rayleigh’s method, Transfer matrix analysis for bending critical speeds, Shafts with overhangs, Example problems. Out of Balance of Rotor in Rigid Support: Field matrix, point matrix for unbalance mass, out of balance response of rotors with rigid end supports, simply supported rotor with overhangs.

10 hrs

UNIT – 3

Fluid Film Bearings: Basic theory of fluid film lubrication, Derivation of generalized Reynolds equations, Boundary conditions, Steady state characteristics of infinitely long and short journal bearings. Hydrodynamic Instability - Introduction, Mechanism of hydrodynamic instability, Stiffness and Damping coefficients of a journal bearing, Stability of hydrodynamic journal bearing.

10 hrs

UNIT – 4

Rotors Mounted on Fluid Film Bearings: A simple rotor in fluid film bearings – undamped analysis and analysis with damping, Example problems, transfer matrix analysis of rotors in fluid film bearings, transfer matrix analysis of turbine rotor by distributed elements, dual rotor system analysis- state vector, field matrix, point matrix, bearing matrix, point matrix for unbalance mass and junction conditions and overall system equations, Optimum design of bearings for minimum unbalance response.

10 hrs



UNIT – 5

Instability due to fluid film forces and Hysteresis: Instability of rotors mounted on fluid film bearings, Rigid rotor instability, Instability of flexible rotor, Instability threshold by transfer matrix method, Internal hysteresis of shafts, Instability due to negative cross-coupled stiffness. Instability in torsional vibrations: Variable stiffness in torsional vibrations, Systems with variable inertia.

10 hrs

Text Books

1 Rotor Dynamics – J. S. Rao, 3rd edition, 1996, New age international Ltd.

2 Introduction to Tribology of Bearings – B. C. Majumdar, A. H. Wheeler & co., Private ltd.

3 Principles of Lubrication – A. Cameron, Longmans

References

1 Vibration Problems in Engineering – William Weaver, Stephen P. Timoshenko, Donovan H. Young, Wiley - Mehul Excluisve, 2013.

2 Nonconservative problems of the Theory of elastic stability – Vladimir V. Bolotin, Vladimir Vasil’evich Bolotin, Pergamon Press, 1963.



1 Model rotating and reciprocating machineries subjected to torsional vibrations and apply transfer matrix method to analyse their transient responses.

2 Employ Dunkerley’s, Rayleigh’s and transfer matrix methods to Estimate critical speeds and out of balance response of shafts and rotors.

3 Estimate steady state characteristics, fluid-film stiffness and damping coefficients and analyse stability of hydrodynamic journal bearings.

4 Analyse the effects of fluid-film stiffness and damping coefficients of journal bearing on critical speeds and out of balance response of rotors mounted on fluid-film bearings.

5 Analyse the effects of fluid film forces of bearings and internal shaft hysteresis on

instability of rotors for their transverse and torsional vibrations.



Course Title: Pedagogy/ Research Methodology

Course Code : P15MHSM35 Semester : III L - T - P - H: 0 - 0 – 2 – 2 - 4 Contact Period: Lecture: 52Hr Exam: 3 Hr Weightage: CIE:100%

Prerequisites: None Course Learning Objectives (CLOs) This course aims to 1. Solve the mathematical calculations easily and quickly using the methods of Vedic mathematics. 2. Illustrate different examples to learn about percentages effectively. 3. Compare the different types of series. 4. Explain the logic behind solving problems under series such as A.P., G.P., and H.P. 5. Explain divisibility rules, properties of different types of numbers. 6. Explain methods to find the number of factors and sum of factors. 7. Analyze the concept of power cycle, and find last digit and last two digits. 8. Appraise knowledge level of English language and enhance better communication. 9. Illustrate the basic rules of sentence structure (Subject verb agreement). 10. Explain the importance of usage of Tenses and articles.

Course Content

Unit – I Sharpen your axe!! Vedic mathematics: Viniculum and de- viniculum, subtractions using viniculum. Nikhilum multiplication: For numbers close to base values, multiplication of any two digit numbers or three digits number using criss cross method. Finding the square, square root, cubes, cube root of two digit and three digit numbers quickly. Approximation in multiplication and division. Checking the answer using digital sum method. Percentage calculations and ratio comparison: Percentage calculations: Percentage rule for calculating, percentage values through additions, percentage– fraction table, approximation in calculating percentages. Application based problems Ratio comparison: calculations method for ratio compressions: 1. The cross multiplication method, 2. Percentage value compression method 3. Numerator and denominator percentage change method. Method for calculating the value of percentage change in the ratio. Application based problems. 12 Hrs

Unit – II

Analytical Reasoning 1: Series Number series: Standard patterns of number series, pure series: perfect square, square cube, prime, combination of this series. Difference series, ratio series, mixed series, geometric series, two-tier arithmetic series, three-tier arithmetic series, change in the order for difference series, change in the order for ratio series, sample company questions. Letter series: Alphabet and Alphanumeric series, finding the missing term based on logic learnt in number series module, continuous pattern series, correspondence series. sample company questions. Picture series: image analysis, addition deletion rotation or modification of lines or shapes. Understanding the symmetry of the image. Mirror image analysis. sample company questions. 8 Hrs

Unit – III Number system: Introduction, Integers: Remainder zero concept, Odd and Even Integers, Negative and positive integers, power number ax, properties of a perfect square number. Prime number: General method to identify the prime number, properties of prime numbers. Euler’s number. Factorial number: Wilson’s theorem, important results on factorial. Divisor: number of divisors, sum of divisors, number expressed as the product of two factors. Divisibility rules: divisibility of a whole number by a whole number, divisibility of an expression by an expression. Modulus concept: divisibility rules in modulus, rules of operations in modulus. Finding one remainder: One divisor, remainder of (an– bn), remainder for more than one divisor. Unit digit: Concept of power cycle, finding last two digits. Number of trailing zeroes. 10 hrs



Unit – IV Subject Verb Agreement: Basic rules of sentence structure, Usage of singular and plural, Usage of appropriate verb, Introduction to phrases, Construction of Simple sentences and Compound Sentences, Introduction to parts of speech. 8 Hrs

Unit – V Tenses : Identification of tenses, Past tense, Present tense, Future tense, Indicators of tenses, Introduction to verb tenses, Past perfect, Past progressive, Past perfect progressive, Present perfect progressive, Future perfect, Future progressive. Articles : Introduction to articles, Exploring the usage of ‘a’, ‘an’ and ‘the’, Golden rules of articles, Differentiating between definite and indefinite articles, Understanding the exceptions of definite and indefinite articles 8 Hrs

Unit – VI Analytical Reasoning 1: Direction Sense Introduction to main directions and cardinal directions. Methodology to solve problems on direction sense. Blood Relation: Introduction to various blood relations. Drawing Family Tree. Methodology to arrive at correct assumptions. Different techniques of solving problems. 6 Hrs Reference Books: 1. The Trachtenberg speed system of basic mathematics, published by Rupa publications. 2. CAT Mathematics by Abhijith Guha. published by PHI learning private limited. 3. Quantitative aptitude by Dr. R. S Agarwal, published by S.Chand private limited. 4. Essential English Grammar, Raymond Murphy, Cambridge University Press. 5. Quantitative aptitude for CAT by Arun Sharma, published by McGraw Hill publication. 6. Analytical reasoning by M.K Pandey BSC PUBLISHING.CO.PVT.LTD Course Outcomes After learning all the units of the course, the student is able to: 1. Solve mathematical calculations in less duration compared to the conventional method. L2 2. Give examples for AP, GP and HP and differentiate between them. L1 3. Apply divisibility rules, power cycle method and evaluate the significance of the number system

module. L2 4. Rectify Indianism and have better ability to frame grammatically correct sentences. L4 5. Understand the correct usage of Tenses and Articles. L4 Topic Learning Outcomes After learning all the topics of UNIT – I, the student is able to 1. Compute product of numbers in very less duration of time compared to conventional method

using Nikhilum multiplication. L2 2. Compute the square, square root, cube and cube roots of two digit and three digit numbers, 5

times faster than the conventional method. L2 3. Predict the answers in the MCQ’s using the method of digital sum. L6 4. Produce the results for complex calculations with ease using simple techniques of Vedic maths.

L4 5. Estimate the nearest answer using the principles of approximation and eliminate the wrong

options, thereby increasing his probability of identifying the right option. L5 6. Differentiate between percentage points and percentage values. L1 7. Compute the percentage values of big numbers using the concept the division and addition. L2 8. Apply the inferences obtained from percentage-fraction conversion table in the module of higher

level difficulty. L2 9. Describe the importance of ratio comparison in our day-to-day life and its applications. L1 10. Develop his/her mathematical skills for better computation and comprehension. L3 After learning all the topics of UNIT – II and VI, the student is able to 1) Analyze Series and patterns with increased logical thinking. L5 2) Identify the pattern of series and hence predict the subsequent terms. L1



3) Predict the pattern in a number series by applying the knowledge of number system and elevated logical reasoning. L6

4) Predict the pattern in a letter series, as well as, be equipped to code and decode words using various deciphering techniques. L6

5) Formulate an improved strategy to access picture patterns by visually applying techniques of angled rotation, mirror imaging or combination of both. L1

6) Interpret complicated patterns in series involving two tier and three tier arithmetic series. L1 7) Analyze complex patterns involving combination of numeric, alphabet, pictures, combination 1. of two, or combination of all the three. L5 8) Judge various scenarios better while solving problems on any domain, due to elevated level of

logical thinking. L6 9) Improve imaginary power and visualizing ability since the problems require identification of

patterns with minimum/ paper work. L4 10) Formulate own series with innovative patterns by applying knowledge of various domains learnt. L2 After learning all the topics of UNIT – III, the student is able to 1) List the various classifications of numbers. L1 2) Understand the basics and importance of classification of the number system. L4 3) Understand all the properties of numbers. L4 4) Interpret prime numbers and its properties using the concepts of HCF and LCM. L4 5) Associate factorization methods to better understand prime numbers and also to faster solve

problems involving higher power or roots. L4 6) Interpret problems based on number of divisors, sum of divisors, odd divisors, even divisors etc. L4 7) Explain the divisibility rules and apply the same to simplify problems. L4 8) Understand the concept of Modulus, Rules of operation in modulus. L4 9) Solve faster the application based problems using Remainder theorem and concepts of power

cycle. L5 10) Solve problems across learning topics by application of techniques learnt in Number System. L5 After learning all the topics of UNIT – IV, the student is able to 1. Recognize basic components of a sentence. L2 2. Recognize Subject and predicate in a sentence. L2 3. Recognize singular and plural words. L2 4. Use the appropriate verb forms. L2 5. Differentiate between incomplete and complete sentences. L4 6. Construct simple and compound sentences in all tense forms.L2 7. Better understand parts of speech. L4 8. Dissect a sentence into simpler forms for better understanding. L2 9. Recognize Indianism and correct them. L5 10. Frame grammatically correct sentences. L4 After learning all the topics of UNIT – V, the student is able to 1. Recognize tense forms. L1 2. Differentiate tenses. L1 3. Reflect strong understanding of the tense forms. L4 4. Recognize the indicators and use the appropriate tense forms. L1 5. Unlearn common errors in usage of tenses. L4 6. Use tenses in appropriate context. L2 7. Identify Indianism in tenses and rectifying the same. L2 8. Use tenses in complex sentences. L2 9. Implement tense rules in complex paragraph writing. L2 10. Understand Importance of using articles in a sentence. L4 11. Better understand the usage of articles. L4 12. Use the right articles in front of vowels and consonants. L2 13. Recognize the correct usage of ‘the’. L1 14. Identify exceptions to using ‘a’ and ‘an. L1 15. Rectify the common errors in the usage of articles. L4 16. Use definite and indefinite articles. L2 17. Use correct articles in complex scenarios. L2



Course Articulation Matrix (CAM)

Course Outcome (CO) Program Outcome (ABET/NBA-(3a-m))

a b c d e f g h i j k l m Solve mathematical calculations in less duration compared to the conventional method.

L5 L - - - - - - - M - - - -

Give examples for AP, GP and HP and differentiate between them.

L1 M - - - - - - - - - - - -

Apply divisibility rules, power cycle method and evaluate the significance of the number system module.

L2 H - - - - - - - M - - - -

Rectify Indianism and have better ability to frame grammatically correct sentences. L4

L5 - - - H - - - - M - - - -

Understand the correct usage of Tenses and Articles. L4

L4 - - - M - - - - - - - - -

L- Low, M- Moderate, H-High

Course Articulation Matrix (CAM)

Course Outcome (CO) Program Outcome (ABET/NBA-(3a-m))

a b c d e f g h i j k l m Solve mathematical calculations in less duration compared to the conventional method. L5 1 - - - - - - 2 - - - -

Give examples for AP, GP and HP and differentiate between them. L1 2 - - - - - - - - - - -

Apply divisibility rules , power cycle method and evaluate the significance of the number system module.

L2 3 - - - - - - 2 - - - -

Point out the errors in the problems concerning inequalities and solve simple equations and problems based on ratio, proportion and variation.

L5 - - - 3 - - - 2 - - - -

Solve the problems based on blood relations L4 - - - 2 - - - - - - - - - 1- Low, 2- Moderate, 3-High

Documents

PG Syllabus Design-2015 - P.E.S. College of Engineering · · 2017-09-15(An Autonomous Institution Affiliated to VTU, Belagavi) Grant -in- Aid Institution ... Lab components are