3rd Semester Syllabus

Solid Mechanics [119301]

• Unit-1.0 Simple Stresses and Strains
  • Concept of stress and strain
  • St. Venant's principle
  • Stress and strain diagram
  • Elasticity and plasticity
  • Types of stresses and strains
  • Hooke's law
  • Stress - strain diagram for mild steel
  • Working stress
  • Factor of safety
  • Lateral strain, Poisson's ratio and volumetric strain
  • Elastic moduli and the relationship between them
  • Bars of varying section
  • Composite bars
  • Temperature stresses
  • Strain Energy - Resilience
  • Gradual, sudden, impact and shock loadings
  • Simple applications
• Unit-2.0 Compound Stresses and Strains
  • Two dimensional system
  • Stress at a point on a plane
  • Principal stresses and principal planes
  • Mohr circle of stress
  • Ellipse of stress and their applications
  • Two dimensional stress-strain system
  • Principal strains and principal axis of strain
  • Circle of strain and ellipse of strain
  • Relationship between elastic constants
• Unit-3.0 Bending moment and Shear Force Diagrams
  • Bending moment (BM) and shear force (SF) diagrams
  • BM and SF diagrams for cantilevers simply supported and fixed beams with or without overhangs
  • Calculation of maximum BM and SF and the point of contra flexure under concentrated loads
  • Uniformly distributed loads over the whole span or part of span
  • Combination of concentrated loads (two or three) and uniformly distributed loads
  • Uniformly varying loads
  • Application of moments
• Unit-4.0 Flexural Stresses
  • Theory of simple bending - Assumptions
  • Derivation of bending equation: M/I = f/y = E/R
  • Neutral axis
  • Determination of bending stresses
  • Section modulus of rectangular and circular sections (Solid and Hollow)
  • I,T, Angle and Channel sections
  • Design of simple beam sections
• Unit-5.0 Shear Stresses and Slope/Deflection
  • Derivation of shear stress formula
  • Shear stress distribution across various beam sections like rectangular, circular, triangular, I, T, angle sections
  • Slope and deflection - Relationship between moment, slope and deflection
  • Moment area method
  • Macaulay's method
  • Use of these methods to calculate slope and deflection for determinant beams
• Unit-6.0 Torsion and Thin Cylinders/Spheres
  • Derivation of torsion equation and its assumptions
  • Applications of the equation to hollow and solid circular shafts
  • Torsional rigidity
  • Combined torsion and bending of circular shafts
  • Principal stress and maximum shear stresses under combined loading of bending and torsion
  • Analysis of close-coiled-helical springs
  • Thin Cylinders and Spheres - Derivation of formulae
  • Calculations of hoop stress, longitudinal stress in a cylinder, and sphere subjected to internal pressures

Text/Reference

1. Timoshenko, S. and Young, D. H., "Elements of Strength of Materials", DVNC, New York, USA.
2. Kazmi, S. M. A., "Solid Mechanics" TMH, Delhi, India.
3. Hibberler, R. C. Mechanics of Materials. 6th ed. East Rutherford, NJ: Pearson Prentice Hall, 2004.
4. Crandall, S. H., N. C. Dahl, and T. J. Lardner. An Introduction to the Mechanics of Solids. 2nd ed. New York, NY: McGraw Hill, 1979.
5. Laboratory Manual of Testing Materials - William Kendrick Hall
6. Mechanics of Materials - Ferdinand P. Beer, E. Russel Johnston Jr., John T. DEwolf - TMH 2002.
7. Strength of Materials by R. Subramanian, Oxford University Press, New Delhi.

Engineering Mathematics-III (PDE, Prob/Stat) [119302]

• Unit 1.0
  • Definition of Partial Differential Equations
  • First order partial differential equations
  • Solutions of first order linear PDEs
  • Solution to homogenous and non-homogenous linear partial differential equations of second order by complimentary function and particular integral method
• Unit 2.0
  • Second-order linear equations and their classification
  • Initial and boundary conditions
  • D'Alembert's solution of the wave equation
  • Duhamel's principle for one dimensional wave equation
  • Heat diffusion and vibration problems
  • Separation of variables method to simple problems in Cartesian coordinates
  • The Laplacian in plane, cylindrical and spherical polar coordinates
  • Solutions with Bessel functions and Legendre functions
  • One dimensional diffusion equation and its solution by separation of variables
• Unit 3.0
  • Probability spaces, conditional probability, independence
  • Discrete random variables
  • Independent random variables
  • The multinomial distribution
  • Poisson approximation to the binomial distribution
  • Infinite sequences of Bernoulli trials
  • Sums of independent random variables
  • Expectation of Discrete Random Variables
  • Moments, Variance of a sum, Correlation coefficient
  • Chebyshev's Inequality
• Unit 4.0
  • Continuous random variables and their properties
  • Distribution functions and densities
  • Normal, exponential and gamma densities
  • Bivariate distributions and their properties
  • Distribution of sums and quotients
  • Conditional densities, Bayes' rule
• Unit 5.0
  • Basic Statistics
  • Measures of Central tendency: Moments, skewness and Kurtosis
  • Probability distributions: Binomial, Poisson and Normal
  • Evaluation of statistical parameters for these three distributions
  • Correlation and regression - Rank correlation
  • Curve fitting by the method of least squares- fitting of straight lines, second degree parabolas and more general curves
• Unit 6.0
  • Test of significance: Large sample test for single proportion, difference of proportions
  • Tests for single mean, difference of means, and difference of standard deviations
  • Test for ratio of variances - Chi-square test for goodness of fit and independence of attributes

Text/Reference

1. Erwin Kreyszig, Advanced Engineering Mathematics, 9thEdition, John Wiley & Sons, 2006.
2. N.P. Bali and Manish Goyal, A text book of Engineering Mathematics, Laxmi Publications.
3. P. G. Hoel, S. C. Port and C. J. Stone, Introduction to Probability Theory, Universal Book Stall.
4. S. Ross, A First Course in Probability, 6th Ed., Pearson Education India,2002.

Geo Informatics [119303]

• Unit-1.0 Fundamentals of GIS
  • Introduction
  • Data models (raster/vector)
  • Spatial analysis
  • Geodatabases
  • Topology
• Unit-2.0 Remote Sensing Principles & Applications
  • EM spectrum
  • Sensors
  • Platforms
  • Image processing
  • Classification
  • Corrections
• Unit-3.0 Cartography and Map Projections
  • Map design
  • Types of maps
  • Coordinate systems
  • Datums
  • Digital mapping
  • Visualization
• Unit-4.0 GNSS (GPS) & Surveying
  • GPS, GLONASS, Galileo
  • Data collection methods
  • Accuracy, error sources
  • Modern surveying techniques
• Unit-5.0 Geospatial Programming & Databases
  • Python programming (ArcPy)
  • Spatial SQL
  • Database management systems
  • Automation
  • Web GIS basics
• Unit-6.0 Applications
  • Case studies in urban planning
  • Disaster management
  • Agriculture
  • Forestry
  • EIA

Text/Reference

1. Longley, P. A., Goodchild, M. F., Maguire, D. J., & Rhind, D. W. (Geographic Information Systems and Science). John Wiley & Sons.
2. Lillesand, T. M., Kiefer, R. W., & Chipman, J. W. (Remote Sensing and Image Interpretation). John Wiley & Sons.
3. Robinson, A. H., Morrison, J. L., Muehrcke, P. C., Kimerling, A. J., & Guptill, S. C. (Elements of Cartography). John Wiley & Sons.

Fluid Mechanics [119304]

Detailed syllabus content is not available in the provided document.

Machine Learning [119305]

• Unit 1.0 Python Fundamentals
  • Fundamental Data Types in Python
  • Looping and Decision-making constructs
  • Functions
  • Classes
  • File handling
  • Database access
  • Output formatting
  • Modules
  • Statistics module
  • Numpy
  • Introduction to popular machine learning libraries Tensor Flow & Keras
• Unit 3.0 Unsupervised Learning
  • Clustering
  • K-means
  • GMM & EM Algorithm
  • Eigen values and Eigen vectors
  • PCA - unsupervised dimensionality reduction technique
• Unit 4.0 Supervised Learning
  • Classification: KNN, Bayes, Decision Tree
  • SVM: soft and hard margin, kernel trick
  • LDA - supervised dimensionality reduction technique
• Unit 5.0 Ensemble and Reinforcement Learning
  • Bagging, Random Forest and Boosting
  • Q-learning and SARSA algorithms
• Unit 6.0 Neural Networks
  • Introduction
  • Perceptron model
  • Learning rules and activation functions
  • Multi-layer feed forward
  • Back-propagation
  • Introduction to feed-back networks

Text/Reference Books

1. Machine Learning. Tom Mitchell, McGraw-Hill.
2. Machine learning: an algorithmic perspective. Marsland, Stephen. Chapman and Hall/CRC, 2011.
3. Introduction to artificial neural systems. Zurada, Jacek M. Vol. 8. St. Paul: West publishing company, 1992.
4. A Tutorial on Support Vector Machines for Pattern Recognition. Christopher Burges, Data Mining and Knowledge Discovery, 1998

Materials, Testing & Evaluation [119306]

• Unit-1.0 Introduction to Engineering Materials
  • Cements
  • M-Sand
  • Concrete (plain, reinforced and steel fibre/ glass fibre- reinforced, light- weight concrete, High Performance Concrete, Polymer Concrete)
  • Ceramics
  • Refractories
  • Bitumen and asphaltic materials
  • Timbers
  • Glass and Plastics
  • Structural Steel and other Metals
• Unit-2.0 Paints, Varnishes and Advanced Materials
  • Paints and Varnishes
  • Acoustical material and geo-textiles
  • Rubber and asbestos
  • Laminates and adhesives
  • Graphene
  • Carbon composites and other engineering materials including properties and uses
• Unit-3.0 Introduction to Material Testing
  • What is “Material Engineering”?
  • Mechanical behavior and mechanical characteristics
  • Elasticity – principle and characteristics
  • Plastic deformation of metals
  • Tensile test – standards for different material (brittle, quasi-brittle, elastic and so on)
  • True stress – strain interpretation of tensile test
• Unit-4.0 Hardness, Fracture, Creep
  • Hardness tests
  • Bending and torsion test
  • Strength of ceramic
  • Internal friction, creep – fundamentals and characteristics
  • Brittle fracture of steel – temperature transition approach
  • Background of fracture mechanics
  • Discussion of fracture toughness testing – different materials
  • Concept of fatigue of materials
  • Structural integrity assessment procedure and fracture mechanics
• Unit-5.0 Standard Testing & Evaluation Procedures
  • Laboratory for mechanical testing
  • Discussion about mechanical testing
  • Naming systems for various irons, steels and nonferrous metals
  • Discussion about elastic deformation
  • Plastic deformation
  • Impact test and transition temperatures
• Unit-6.0 Fracture Mechanics, Fatigue, Creep
  • Fracture mechanics – background
  • Fracture toughness – different materials
  • Fatigue of material
  • Creep

Text/Reference

1. Chudley, R., Greeno (2006), 'Building Construction Handbook' (6th ed.),R. Butterworth- Heinemann.
2. Khanna, S.K., Justo, C.E.G and Veeraragavan, A, ' Highway Materials and Pavement Testing', Nem Chand& Bros, Fifth Edition.
3. Various related updated & recent standards of BIS, IRC, ASTM, RILEM, AASHTO, etc. corresponding to materials used for Civil Engineering applications.
4. Kyriakos Komvopoulos (2011), Mechanical Testing of Engineering Materials, Cognella.
5. E.N. Dowling (1993), Mechanical Behaviour of Materials,Prentice Hall International Edition
6. American Society for Testing and Materials (ASTM), Annual Book of ASTM Standards (post 2000).
7. Related papers published in international journals.

Universal Human Values [119307]

• Unit-1.0 Introduction to Value Education
  • Right Understanding, Relationship and Physical Facility (Holistic Development and the Role of Education)
  • Understanding Value Education Sharing about Oneself
  • Self-exploration as the Process for Value Education
  • Continuous Happiness and Prosperity – the Basic Human Aspirations
  • Exploring Human Consciousness
  • Happiness and Prosperity – Current Scenario
  • Method to Fulfill the Basic Human Aspirations
• Unit-2.0 Harmony in the Human Being
  • Understanding Human being as the Co-existence of the Self and the Body
  • Distinguishing between the Needs of the Self and the Body
  • The Body as an Instrument of the Self
  • Understanding Harmony in the Self
  • Harmony of the Self with the Body
  • Programme to ensure self-regulation and Health
• Unit-3.0 Harmony in the Family and Society
  • Harmony in the Family - the Basic Unit of Human Interaction
  • Trust - the Foundational Value in Relationship
  • Respect - as the Right Evaluation
  • Other Feelings
  • Justice in Human- to- Human Relationship
  • Understanding Harmony in the Society
  • Vision for the Universal Human Order
• Unit-4.0 Harmony in the Nature/Existence
  • Understanding Harmony in the Nature
  • Interconnectedness, self- regulation and Mutual Fulfilment among the Four Orders of Nature
  • Realizing Existence as Co- existence at All Levels
  • The Holistic Perception of Harmony in Existence
• Unit-5.0 Implications of the Holistic Understanding - a Look at Professional
  • Natural Acceptance of Human Values
  • Definitiveness of (Ethical) Human Conduct
  • A Basis for Humanistic Education
  • Humanistic Constitution and Universal Human Order
  • Competence in Professional Ethics
  • Holistic Technologies, Production Systems and Management Models- Typical Case Studies
  • Strategies for Transition towards Value- based Life and Profession
• Unit-6.0 Professional Ethics and Applications
  • Competence in Professional Ethics
  • Holistic Technologies, Production Systems and Management Models- Typical Case Studies
  • Strategies for Transition towards Value- based Life and Profession

Text/Reference

1. A Foundation Course in Human Values and Professional Ethics, R R Gaur, R Asthana, G P Bagaria, 2nd Revised Edition, Excel Books, New Delhi, 2019. ISBN 978-93-8703447.
2. JeevanVidya: EkParichaya, A Nagaraj, JeevanVidyaPrakashan, Amarkantak, 1999.
3. Human Values, A.N. Tripathi, New Age Intl. Publishers, New Delhi, 2004.
4. The Story of Stuff (Book).
5. The Story of My Experiments with Truth - by Mohandas Karamchand Gandhi.
6. Small is Beautiful - E. F Schumacher.
7. Slow is Beautiful - Cecile Andrews.
8. Economy of Permanence - J C Kumarappa.
9. Bharat Mein Angreji Raj - Pandit Sunderlal.

Indian Knowledge System [119308]

• Unit-1.0 Introduction to Indian Knowledge Systems
  • Overview of IKS
  • Organization of IKS
  • Conception and constitution of knowledge in indian tradition
  • The oral tradition
  • Models and Strategies of IKS
• Unit-2.0 Overview of IKS Domains
  • The vedas as the basis of IKS
  • Overview of all the six vedāṅgas
• Unit-3.0 Relevance in Current Technical Education System I
  • Arthashastra (Indian economics and political systems)
  • Ganita and Jyotisha (Indian mathematics, astronomy and geometry)
  • Rasayana (Indian chemical Sciences)
• Unit-4.0 Relevance in Current Technical Education System II
  • Ayurveda (Indian Biological Sciences / Diet & Nutrition)
  • Jyotish Vidya (observational astronomy and calendar systems)
  • Prakriti Vidya (Indian system of terrestrial/ material sciences/ecology and atmospheric sciences)
• Unit-5.0 Relevance in Current Technical Education System III
  • Vastu Vidya (Indian system of aesthetics- iconography and built- environment /architecture)
  • Nyaya Shastra (Indian systems of social ethics, logic and law)
• Unit-6.0 Advanced IKS Domains
  • Shilpa and Natya Shastra (Indian classical arts: performing and fine arts)
  • Sankhya and Yoga Darshna (Indian psychology, yoga and consciousness studies)
  • Vrikshayurveda (plant science/sustainable agriculture/food preservation methods)

Text/Reference

1. Introduction to Indian Knowledge System: Concepts and Applications, Archak, K.B. (2012)., Kaveri Books, New Delhi, ISBN-13:978-9391818203
2. Introduction To Indian Knowledge System: Concepts and Applications, Mahadevan, B. Bhat, VinayakRajat, NagendraPavana R.N., PHI, ISBN: 9789391818203.
3. Glimpse into Kautilya's Arthashastra Ramachandrudu P. (2010), Sanskrit Academy, Hyderabad, ISBN:9788380171074.
4. "Introduction" in Studies in Epics and Puranas, (Eds.), KM Munshi and N ChandrashekaraAiyer BhartiyaVidyaBhavan.