Abhi PYQ

Credits Table

Course Title L T P Credits
Engineering Mathematics -III (PDE, Prob/Stat) [116301] 3 1 0 4
Elements of Aeronautical Engineering [116302] 3 0 0 3
Mechanics of Solids [116303] 3 0 0 3
Aero Engineering Thermodynamics [116304] 3 1 0 4
Universal Human Values [116305] 3 0 0 3
Indian Knowledge System [116306] 3 0 0 0
Mechanics of Solids Lab [116303P] 0 0 3 1.5
Aero Engineering Thermodynamics Lab [116304P] 0 0 3 1.5
Internship-I [116307] 2 Weeks 2
TOTAL 22

Theory Subjects

Lab Subjects

Engineering Mathematics-III (PDE, Prob/stat)

  • Unit 1.0: First order and second order linear PDEs
    • 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 Wave/Heat equation
    • 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 and Discrete Random Variables
    • 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 Bivariate distributions
    • 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 and Curve fitting
    • 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
    • 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 Books

  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.

Elements of Aeronautical Engineering

  • Unit 1.0: Aeronautics: History of Flying and the Industry
    • Early attempts of flying
    • Major events in the development of aerial vehicle and their contributors
    • Development cycle of aircraft to the present state and future ahead
    • Development cycle of helicopter to the current state
    • Indian Aeronautical Industry
    • Aeronautical Industry
  • Unit 2.0: Aerodynamics
    • Atmosphere and Standard Atmosphere
    • Pressure
    • Temperature and Density Altitude
    • Airfoil Nomenclatures
    • Aerodynamic forces and coefficients: lift
    • Drag and moment
    • Pressure coefficient
    • Speed of sound
    • Subsonic wind tunnels and supersonic wind tunnels
  • Unit 3.0: Propulsion
    • Aircraft propulsion: Propellers
    • Reciprocating engines
    • Jet engines
    • Jet engines: Working principle
    • Types Turbojet
    • Turbofan
    • Turboshaft
    • Ramjet
    • Scramjet propulsion
    • Brief introduction of rocket propulsion
  • Unit 4.0: Aircraft Structures
    • Various materials used in different components/parts of the aircraft
    • Evolution of aircraft materials with time
    • Properties of flight vehicle material
    • Factors impacting choice of aircraft material
    • Layout of aircraft along with various structure components including control surfaces
  • Unit 5.0: Aircraft Systems
    • Brief introduction to various aircrafts instruments and systems
  • Unit 6.0: Aircraft Performance
    • Equation of motion
    • Drag polar
    • Level and un-accelerated flight: thrust and power requirements
    • Aircraft power requirements and power available (Jet and propeller propulsion)
    • Range and Endurance Phenomenon
    • Take-off and landing performance

Text/Reference Books

  1. Introduction to flight John D. Anderson, Mary L. Bowden, Mc-Graw Hill, 9th Edition (2021), ISBN-13: 978-1260597998.
  2. Flight without formula, A. C. Kermode, Pearson, 5th edition (2004), ISBN-13: 9788131713891.
  3. Aircraft: Basic Science, Ralph D. Bent, Michael J. Kroes, Mc-Graw Hill, 5th Edition (1980), ISBN-13: 978-0070047914.
  4. Jet Propulsion: A Simple Guide to the Aerodynamic and Thermodynamic Design and Performance of Jet Engines, Nicholas Cumpsty, Cambridge University Press 2nd edition (2003), ISBN-13: 978-0521541442.

Mechanics of Solids

  • Unit 1.0: Direct Stresses and Strains in Components
    • Different types of Loads
    • Mechanical properties of materials like Strength
    • Stiffness
    • Hardness
    • Toughness
    • Ductility
    • Malleability
    • Elasticity
    • Plasticity
    • Creep
    • Fatigue etc. Statically Determinate and Indeterminate structures
    • Direct Stress
    • Linear Strain
    • Hook's Law
    • Stress- Strain curve of ferrous and non ferrous materials
    • Modulus of Elasticity
    • Yield
    • Proof
    • Breaking and Ultimate Stress and Factor of safety
    • Lateral Strain and Poisson's ratio
    • Relations between different Moduli
    • Taper circular bar
    • Bar of Uniform strength
    • Composite bars
    • Stresses in Bolted connections bolted joint when subjected to direct external load only
    • Temperature Stresses and Strain with and without yielding
    • Shear Stress
    • Shear Strain and Shear Modulus
    • Bulk Modulus and Volumetric Strain Sudden
    • Gradual and Impact Loads
    • Strain Energy and Proof Resilience for Sudden
    • Gradual and Impact Loads
  • Unit 2.0: Shear Force, Bending Moment, Slope and Deflection in Beam type Components
    • Types of Beams like Cantilever
    • Simply Supported and Over Hang Beams
    • Relation between Shear Force and Bending Moment
    • Sagging and Hogging Bending Moment and its importance
    • Point of Contra flexure and its importance
    • S.F and B.M Diagram for various beams under different loadings
    • Slope and Deflection in Cantilever and Simply Supported beams using Double Integration Method
    • McCauley's method
    • Area Moment method
    • Conjugate Beam method
  • Unit 3.0: Bending and Shear Stresses in Beam type Components
    • Bending Theory
    • Flexural equation
    • Bending stress
    • Bending strain
    • Sectional Modulus
    • Neutral Axis
    • Application of Bending theory to Statically determinate beams elements like shaft
    • Axle
    • Spindle
    • Pulley arm having rectangular or circular section to find out stresses
    • Flitched/Composite beams
    • Shear stresses in beams
    • Beams of Uniform strength
  • Unit 4.0: Eccentric Loading
    • Axial and eccentric load
    • Effects of eccentricity
    • Field cases (Hook
    • Clamp
    • Bench Vice
    • Frame etc)
    • Axial stress and bending stress
    • Resultant stress intensities
    • Resultant stress variation (Eccentricity about one axis only)
    • Limiting eccentricity
    • Core of section
    • No tension condition
  • Unit 5.0: Thick and Thin Pressure Vessels
    • Pressure Vessels
    • Thin cylinders and spheres subjected to internal pressure
    • Hoop stresses
    • Longitudinal stress and change in volume
    • Wire bound thin Cylindrical pressure vessels
    • Thick cylinders subjected to both internal and external pressure
    • Lame's equation
    • Hoop stresses
    • Longitudinal stress and Radial stresses
    • Radial and Hoop stress distribution
    • Shrink fit thick cylindrical pressure vessels
    • Column and Strut: Short and Long Column
    • End Conditions of Column
    • Effective Length of Column and Modes of Failure in column
    • Radius of Gyration
    • Slenderness Ratio
    • Euler's Crippling Load and its application
    • Limitations of Euler's theory
    • Rankin's load / Buckling Load and its application in screw of Screw jack
    • Connecting Rod
  • Unit 6.0: Torsion of Shaft
    • Torsion/Twisting Moment
    • Torsional Equation
    • Angle of Twist
    • Polar Moment of Inertia
    • Torsional Rigidity
    • Torsional Stress and Strain in solid and hollow shafts
    • Comparison between Solid and Hollow Shafts subjected to pure torsion
    • Composite Shafts
    • Power Transmitted/Consumed for shaft
    • Spindle and axle of solid and hollow sections subjected to Twisting Moment
    • Shafts subjected to combined bending and torsion
    • Principal Stresses and Strains: Multi load situations and need of estimating principal stresses
    • Definition of principal plane and principal stresses
    • Expression for normal and tangential stress
    • Maximum shear stress
    • Stresses on inclined planes
    • Position of principal planes and planes of maximum shear
    • Graphical solution using Mohr's circle of Stresses

Text/Reference Books

  1. Engineering Mechanics of Solids, Popov, E. P, 2nd ed., Pearson Education, 2015, ISBN-10: 9332550212, ISBN-13: 978-9332550216.
  2. Mechanics of Materials, Hibbeler, R. C., 10th ed., Prentice Hall, 2016, ISBN-10: 0134319656, ISBN-13: 978-0134319650.
  3. Mechanics of Materials, Beer, F. P., Johnston, E. R., and DeWolf, J. T., 5th ed., McGraw-Hill, 2009, ISBN-10: 0070153892, ISBN-13: 978-0070153899.
  4. Advanced Mechanics of Solids, Srinath, L. S. 3rd ed., Tata McGraw-Hill, 2017, ISBN-10: 0070139881, ISBN-13: 978-0070139886.
  5. Strength of Materials Vol. I and II, Timoshenko S. 3rd ed., CBS Publishers, 2002, ISBN-10: 8123910304, ISBN-13: 978-8123910307.
  6. Schaum's Outline of Theory and Problems of Strength of Materials, Nash William A., 6th ed. Tata McGraw-Hill Publishing Co., New Delhi, 2016, ISBN-10: 0071830804, ISBN-13: 978-0071830805.
  7. Mechanics of Materials, Timoshenko and Gere, CBS, 2 edition, 2006, ISBN-13: 9788123908946.
  8. Strength of Materials, Rajput R.K., S. Chand Publishing (6th Edition, 2015, ISBN-13: 978-9385401367.

Aero Engineering Thermodynamics

  • Unit 1.0: Basic Concepts
    • Concept of continuum
    • Macroscopic approach
    • And thermodynamic systems
    • Property
    • State
    • Path and process-quasi-static process
    • Work
    • Zeroth law of thermodynamics
    • Concept of temperature and heat
    • Internal energy
    • Specific heat capacities
    • Enthalpy
    • Concept of ideal and real gases
  • Unit 2.0: First Law
    • First law of thermodynamics and its applications to closed and open systems
  • Unit 3.0: Second Law and Entropy
    • Second law of thermodynamics
    • Kelvin planck and clausius statements of second law
    • Reversibility and irreversibility
    • Carnot theorem Carnot cycle
    • Reversed Carnot cycle
    • Efficiency
    • Thermodynamic temperature scale Clausius inequality
    • Concept of entropy
    • Entropy of ideal gas
    • Principle of increase of entropy
  • Unit 4.0: Air Standard Cycles
    • Otto
    • Diesel
    • Dual
    • Ericsson
    • Atkinson
    • Stirling and Brayton cycles
    • Air Standard efficiency
    • Mean effective pressure
  • Unit 5.0: Fundamentals of Vapour Power Cycles
    • Properties of pure substances - solid
    • Liquid and vapour phases
    • Phase rule
    • P-v
    • P-T
    • T-v
    • T-s
    • H-s diagrams
    • P-v-T surfaces
    • Thermodynamic properties of steam
    • Calculations of work done and heat transfer in non-flow and flow processes
    • Standard Rankine cycle
    • Reheat and Regeneration cycle
    • Heat rate
    • Specific steam consumption
    • Tonne of refrigeration
  • Unit 6.0: Basics of Propulsion and Heat Transfer
    • Classification of jet engines
    • Basic jet propulsion arrangement
    • Engine station number
    • Thrust equation
    • Specific thrust
    • SFC
    • TSFC
    • Specific impulse
    • Actual cycles
    • Isentropic efficiencies of jet engine components
    • Polytropic efficiency
    • Conduction in parallel
    • Radial and composite wall
    • Basics of convective and radiation heat transfer

Text/Reference Books

  1. Thermodynamics: An Engineering Approach, Cengel, Y. A. and Boles, M. A, McGraw Hill Education, 8th Edition, 2014, ISBN-10: 9339221656.
  2. Principles of Engineering Thermodynamics (SI Version), Moran, M. J., Shapiro, H. N., Boettner, D. D., and Bailey, M. B, Wiley, 2015, 8th Edition ISBN: 8126556722.
  3. Thermodynamics, Arora C.P, McGraw-Hill Education (India) Pvt Limited, 2017 ISBN, 0074620142, 9780074620144.
  4. Engineering Thermodynamics, Nag, P. K, McGraw-Hill Education (India) Pvt Limited, 2017, 6th Edition, ISBN: 9789352606429, 978-9352606429.
  5. Thermodynamics, Holman.J.P, McGraw-Hill Education (India) Pvt Limited, 1987, 4th Edition, ISBN: 0070296332, 978-0070296336.
  6. Thermodynamics for Engineers, Merala C, Pother, Craig W, Somerton, McGraw-Hill Education (India) Pvt Limited, 2019, 4th Edition, ISBN: 1260456528, 978-1260456523.

Universal Human Values

  • 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: Implications of the Holistic Understanding (Continued)
    • 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 Books

  1. A Foundation Course in Human Values and Professional Ethics, RR Gaur, R Asthana, G P Bagaria, 2nd Revised Edition, Excel Books, New Delhi, 2019. ISBN 978-93-8703447.
  2. Jeevan Vidya: EkParichaya, A Nagaraj, Jeevan VidyaPrakashan, 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 - JC Kumarapра.
  9. Bharat Mein Angreji Raj - Pandit Sunderlal.
  10. Rediscovering India - by Dharampal.
  11. Hind Swaraj or Indian Home Rule - by Mohandas K. Gandhi.
  12. India Wins Freedom - Maulana Abdul Kalam Azad.
  13. Vivekananda - Romain Rolland (English).
  14. Gandhi - Romain Rolland (English).

Indian Knowledge System

  • 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 vedasas the basis of IKS
    • Overview of all the six vedängas
  • Unit 3.0: Relevance in Current Technical Education System I
    • Relevance of following IKS domains in present technical education system: Arthashastra (Indian economics and political systems)
    • Ganitaand Jyamiti(indianmathematics
    • Astronomy and geometry
    • Rasayana (indianchemical Sciences)
  • Unit 4.0: Relevance in Current Technical Education System II
    • Ayurveda (Indian Biological Sciences / Diet & Nutrition)
    • JyotishVidya (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)
    • NyayaShastra(indian systems of social ethics
    • Logic and law)
  • Unit 6.0: Advanced IKS Domains
    • Shilpa andNatyaShastra (indian classical arts: performing and fine arts)
    • Sankhyaand Yoga Darshna(indian psychology
    • Yoga and consciousness studies)
    • Vrikshayurveda(plant science/sustainable agriculture/food preservation methods)

Text/Reference Books

  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 Purāņas, (Eds.), KM Munshi and N ChandrashekaraAiyer Bhartiya VidyaBhavan.

Mechanics of Solids Lab

Perform any 10 Experiments

  1. Perform Tension Test on Mild Steel/ Aluminium on Universal Testing machine as per IS432 (I) To estimate hardness of water by EDTA method.
  2. Perform Compression test on Cast Iron on Universal Testing Machine as per IS 14858.
  3. Perform direct Shear Test on Mild Steel using Universal Testing Machine as per IS 5242.
  4. Determine Young's Modulus of Elasticity of different materials beam simply supported at ends.
  5. Calculate Impact Value/Toughness of Mild Steel and Aluminium using Izod and Charpy Impact Test Apparatus as per IS 1757.
  6. Perform Brinell, Rockwell and Vicker's hardness test on different metals.
  7. Estimate Maximum Bending moment and Shear force for simply supported and cantilever beams under point load and UDL using 'Combined Shear Force and Bending Moment' apparatus.
  8. Measure flexural rigidity (EI) for beam using 'Slope and Deflection' apparatus Identification of organic substances and their functional groups and compare it with theoretical value.
  9. Investigate the effect of beam length and width on deflection of beam and compare it with theoretical value using 'Slope and Deflection' apparatus.
  10. Perform the torsion test on wire/ Rod of different materials using 'Torsion of Bar' apparatus. (Part I) as per IS 1717.
  11. Measure the buckling load of three different slenderness ratio long columns of same lengths using 'Behaviour of column and struts' apparatus.

Aero Engineering Thermodynamics Lab

Perform all Experiments

  1. Performance test on a 4-stroke engine.
  2. Valve timing of a 4-stroke engine and port timing of a 2 stroke engine.
  3. Determination of effectiveness of a parallel flow heat exchanger.
  4. Determination of effectiveness of a counter flow heat exchanger.
  5. Determination of heating value of a fuel.
  6. Determination of specific heat of solid.
  7. Determination of thermal conductivity of solid.
  8. Determination of thermal resistance of a composite wall.
  9. COP test on a vapour compression refrigeration.
  10. COP test on a vapour compression air-conditioning.

Internship – I

Internship I Guidelines

Internship I is of a minimum duration of two weeks which can be completed in an Industry/Institute in consultation with concerned Engineering College/Institute. After completion of Internship a detailed report of the Internship mentioning the training undertaken along with certificate should be submitted.

← BEU PYQ Home