BE 2nd Year Second Semester |
S. No. |
Course Code |
Course Name |
L |
T |
P |
Total |
Credits |
1 |
ME 251 |
Department Lab I |
0 |
0 |
4 |
4 |
2 |
2 |
MA 202 or
MA 202H |
Probability and Statistics |
4 |
0 |
0 |
4 |
4 |
3 |
ME 203 or
ME 203H |
Dynamics of Machine |
4 |
0 |
0 |
4 |
4 |
4 |
ME 204 or
ME 204H |
Machine Design & Drawing |
3 |
0 |
2 |
5 |
4 |
5 |
PY 201 or
PY 201H |
Physics II |
4 |
0 |
0 |
4 |
4 |
6 |
PY 202 |
Physics Lab. |
0 |
0 |
3 |
3 |
2 |
7 |
ME 220 |
General Mechanical Engg. II |
1 |
0 |
0 |
1 |
0 |
|
Total |
16 |
0 |
9 |
25 |
20 |
Course Name : DYNAMICS OF MACHINES
Course Code : ME 203
Credit : 4
Design Points : 2
L T P : 4 0 0
Pre-req. : ME 202
Lecture wise breakup No. of Lectures
STATIC FORCE ANALYSIS (05)
Equations of equilibrium, Couple, equilibrium of force and four force systems, Free body diagrams, Forces on slider crank mechanism, quick return mechanism & four-bar mechanism, slider crank mechanism with friction at turning pairs and numerical problems.
INERTIA FORCES IN MECHANISM (05)
Determination of forces and couples for a link, inertia of reciprocating parts. Dynamically equivalent system. analytical and graphical methods, inertia force analysis of basic engine mechanism (crank connecting rod and piston etc.). Torque required to overcome interia and gravitational force of a four bar linkage.
LOWER PAIRS (05)
Universal joint- single and double, calculation of maximum torque. Oldham’s Coupling, steering mechanism including Ackermann’s and Davis steering mechanism. Mechanism with lower pairs, pantograph, exact and approximate straight line motion, engine indicator, elliptical trammel.
GYROSCOPE (05)
Definition, axis of spin, axis of precision, gyroscope, gyroscopic couple, Gyroscopic effect on the movement of ships and vehicles, ship and plane stabilization, stability of automobile and locomotive taking a turn
CAMS (05)
Type of cams and followers, definition-basic circle & least radius, angle of ascent. Dwell, descent & action. Displacement, velocity and acceleration diagrams for the followers with uniform velocity motion, simple harmonic motion, uniform acceleration and retardation, determination of maximum velocity, acceleration and retardation. Analysis of follower motion for pre-specified cam profiles (tangent cams and convex cams).
BALANCING (05)
Classification, need for balancing, balancing for simple and multiple masses, static and dynamic balancing – Primary and secondary balancing for reciprocating masses, inside and outside cylinder locomotive balancing, swaying couple and variation of tractive effort, partial balancing of locomotive, balancing of the coupled locomotives and its advantages multicylinder in line engines (primary and secondary balancing conditions and their applications), balancing of V-engines, balancing machines (Static balancing M/c, dynamic balancing M/c, universal balancing M/c), introduction of balancing of the flexible rotors.
GEARS: (05)
Toothed gears and their uses, types of toothed gears (spur gears, internal spur gears, spur & rack, bevel gears, helical gears, double helical gears, spiral gears, worm gears), definitions, pitch circle diameter, pitch surface, pitch point, circular pitch, diametric pitch, module pitch, addendum, dedendum, clearance, addendum circle, outside diameter, internal diameter, dedendum circle, root diameter, base.
Base circle diameter, face and flank of tooth, angle of obliquity or pressure angle, path contact, arc of contact, arc of approach, condition ;for correct gearing, forms of teeth, cycloid and its variants, epicycloids and hypocycloid, involute methods of drawing an involute and cycloidal curves, interference in involute gears and methods of its removal, comparison of involute and cycloidal gear systems.
GEAR TRAINS: (05)
Types of gear trains, single and compound, epicyclic gear trains.Problems involving their applications, estimation of velocity ratio of worm and worm wheel, helical and spiral gears (determination of No. of teeth, spiral angle and efficiency).
VIBRATION: (05)
Mechanical Vibrations, their causes, useful and harmful effects, types of vibrations, vibration of single degree of freedom system Lagrenge’s equation.BOOK:1. Theory of Machines : V.P. Singh, M/s Dhanpat Rai & Co. Pvt. Ltd., Nai Sarak Delhi, 2005.
REFERENCES:
1. Theory of Machines : P.L. Ballaney – Khanna publishers, Delhi, 1994.
2. Theory of Machines : Shigley, Tata McGraw Hill, New Yark, 1981.
3. Mechanism & Machine Theory : J.S. Rao & R.V. Dukhipati, Wiley Eastren Ltd., New Delhi, 1992.
4. Theory of Mechanisms & : Amitabh Gosh & A.K. Mallik, East West Press Machines Private Ltd.
5. Theory of Machines : S S. Rattan, T.M.H.
ME 203H, DYNAMICS OF MACHINES
In addition to the contents of ME 203 the additional topics:
Open-ended home assignment
Course Name : MACHINE DESIGN & DRAWING
Course Code : ME 204
Credit : 4
Design Points : 4
L T P : 3 0 2
Pre-req. : ---
Lecture wise breakup No. of Lectures
INTRODUCTION: (1)
Scope and meaning of design with special reference to machine design, design process.
GENERAL DESIGN CONSIDERATIONS: (4)
- Concept of tearing, bearing, sharing, crushing, behind, etc. Selection of materials, mechanics Behaviour of materials. Fabrication Characteristics of materials, Selection of materials.
- Stress considerations, Factors of safety under different loading conditions, stress-concentration factors. Design stresses for variable and repeated loads. Endurance limit, fatigue.
- Fits and tolerances and finish.
- Introduction to Computer-aided design principles: Reliability, cost effectiveness.
FASTENERS: (7)
- Cotters and cotter joints, pin fasteners knuckle joints
- Screws, bolts, preloaded bolts, bolts subjected to shear, tension and torque, eccentrically loaded bolted joints.
- Welded and riveted connection, eccentrically loaded, welded and riveted connections.
I.C. ENGINE PARTS: (4)
SHAFTS AND KEYS, DESIGN OF RIGID AND FLEXIBLE COUPLINGS. (5)
LEVERS. (2)
GASKET, SEALS AND PIPE JOINTS. (4)
ELEMENTS UNDER VARIOUS TYPES OF LOADS SUCH AS COLUMNS, BRACKETS, FRAMES AND HOUSING ETC. (4)
BOOKS:
1. Machine Design Shigle,J.E.; Mischke McGraw Hill, New York, 6th edition.
2. Machine Design P.H. Black, McGraw Hill, New York, 1985.
3. BOOK: of Machine Design P.C. Sharma & D.K. Aggarwal, S.K. Kataria & Sons, New Delhi, 1997.
4 Machine Design Robert L.Norton, Pearson
5. Machine Design R.C. Behl and V.K.Goel, Standard Publishers, Distributors, Delhi, 1982
ME 204H, MACHINE DESIGN & DRAWING
In addition to the contents of ME 204 the additional topics
Open-ended project and home assignmentCourse Name : DEPARTMENTAL LAB-I
Course Code : ME 251
Credits : 2
L T P : 0 0 4
Pr-req. : Introduction to open & closed coiled springs, leaf spring, strain gauges and its mounting methods, isochromatic & isoclinics in photoelasticity, normal & exponential distributions curve, materials and heat treatment, dynamometer, introduction to topic on Dep. Lab 1 not covered in theory subjects up to 3rd semester
Experiments on Solid Mechanics based
- Elongation in axial loading.
- Bending & torsion failure of a chalk.
- Working with metallurgical microscope – study of microstructure of engineering materials and estimation of properties.
- Determination of proof load of a leaf spring and energy lost in friction
- Obtain stress- strain curve for a strain hardening material by spherical indentation and establishment of empirical relation between true stress & strain.
- Using spring testing machine, find the effect on the spring stiffness on various steps loads applied to spring under tensile and compressive condition for open and closed coiled springs. Compare the result with the theory. Make an error modeling. Discuss the results and list various sources of errors. Using these data, find the modulus of rigidity of the material based on the open and closed coiled spring deflection formulae and compare the same with theory.
- In the tensile specimen, find the stress concentration factors (SCF) by making man-made crack of various length perpendiculars to the axis of the specimen or circular hole of various diameters. Validate your result from design data book. Find the effect of crack length or hole diameter on SCF.
- Design of a load cell by fixing strain gauge on a ring and its calibration using UTM.
- Computer simulation of normal & exponential distributions with given parameters, validation of it’s out put and use of the result of simulation for system design.
- Design and fabrication of an electronic device to measure deflection and use it to measure deflection of cantilevers and simply supported beam.
- Compare and justify the fracture behavior for ductile and brittle materials under torsion load. Determine the modulus of rigidity of the materials used. Mount a torsion strain gauge on the specimen at the point of maximum shear strain and then compare the shear strain induced in the strain gauge with the theoretical. Thus determine the effectiveness of the strain gauge bonding material.
- For the same degree of eccentricity on fatigue testing machine, compare the fatigue strength under bending, torsion and combined bending-torsion loading. Compare these results. Find co-relation in the results, thus, obtained between first two loading case with the third loading case.
- Perform tensile test on specimen (made of ductile and brittle materials) by applying eccentric load and find various mechanical properties of the material. Find its effect on various mechanical properties of the material and compare the same with the axial load result. Comment and discuss the results.
Experiments on Machine & Mechanism based
Experiments with governors, dynamotors, brakes, clutches, balancing of masses, moment of inertia of mechanical components, Experiment on the basics of mechanism. Experiments to determine whirling speed of shaft, gyroscopic of spinning disc, viscosity of fluid etc.
Course Name : PROBABILITY AND STATISTICS
Course Code : MA 202
Credits : 4
L T P : 4 0 0
Lecture wise breakup No. of Lectures
RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS (14)
Random variables, Probability distributions, Expectation, Variance, Moments, Moment generating function; Chebyshev’s inequality Binomial, Poisson, Exponential, Uniform and Normal distributions, Normal and Poisson approximations to BinomialMultivariate distributions, Marginal and Conditional distributions, Independent random variables, Expected values, Moments, Covariance and Correlation, Distribution of functions of random variables
SAMPLING DISTRIBUTIONS & ESTIMATION (14)
Population, Sample, Sampling distributions, Law of large numbers, Central limit theorem, Distribution of sample mean, Difference of means, Proportions and difference of proportions Chi-square distribution, Distribution of sample variance for Normal population, Student’s t-distribution, F-distribution, Estimation of parameters, Point estimate, Method of moments, Maximum likelihood method Confidence interval for mean, difference of means, variance, ratio of variance, proportions and difference of proportions; Sample size problem
TESTS OF HYPOTHESES (9)
Hypothesis, Test statistic, Critical region, Significance level, Tests for mean, variance and proportions Two sample problems, Chi-square test of goodness of fit, Contingency tables
REGRESSION & CORRELATION (8)
The method of least squares, Least square line and parabola, Regression, Application to time series, Problems involving more than two variables, Linear and multiple correlation, Regression lines and planes, Correlation co-efficient, Standard error of estimate, Relationship between multiple and partial correlation
BOOK:
- Probability and statistics for Engineers and Scientists, Walpole, Myers, Myers and Ye, Pearson Education, 7th edition, 2002.
REFERENCES:
- Introduction to Mathematical Statistics, Hogg and Craig, Pearson Education, 5th edition, 2002.
- Miller and Freund’s: Prabability and Statistics for Engineers, Richard A. Johnson, 6th edition, 2002.
- John E. Freund’s: Mathematical statistics with Application, Miller and Miller, Pearson Education, 7th edition, 2003.
MA 202H, PROBABILITY AND STATISTICS
In addition to the contents of MA 202 the additional topics:
Analysis of variance for one factor problems – Randomized design, Randomized block design and Latin square design.
Course Name : PHYSICS II
Course Code : PY 201
Credits : 4
L T P : 4 0 0
Lecture wise breakup No. of Lectures
Quantum theory of light, photoelectric effect, Compton effect, pair production, photons & gravity, black holes, de-Broglie hypothesis, particle diffraction, uncertainty principle and applications
(5)
Postulates of quantum mechanics and Schrodinger theory, time dependent and time independent Schrodinger wave equation, wave function, Born interpretation and normalization, expectation values
(3)
Particle in a box (infinite potential well), finite potential step and barrier problems, tunneling, linear harmonic oscillator (one-dimensional)
(4)
Hydrogen atom, radiative transitions and selection rules, electron spin, Stern-Gerlach experiment, Spin-orbit coupling, exclusion principle, symmetric and antisymmetric wavefunctions
(5)
Natural radioactivity, successive radioactive transformations, radioactive equilibrium, radioactive series, radiometric dating
(2)
Nuclear force and its characteristics, Elementary description of shell model, explanation of magic numbers, liquid drop model and semi-empirical binding energy formula
(3)
Nuclear fission, fission products, mass and energy distribution of fission products, neutron emission and energy distribution of neutrons emitted in fission, theory of fission process, nuclear reactors – classification, neutron cycle in thermal reactors and four-factor formula for neutron reproduction, nuclear fusion – controlled thermonuclear reactions.
(4)
Maxwell-Boltzmann statistics, molecular energies in an ideal gas, Bose-Einstein and Fermi-Dirac statistics, black body radiation, Rayleigh-Jeans and Planck’s radiation laws, free electrons in a metal, electron-energy distribution, Fermi energy, electronic specific heat, conduction in metals, thermionic emission
(7)
Band theory of solids, Kronig-Penney Model (qualitative), conductors, insulators and semiconductors, p- and n-type semiconductors, statistics of electrons and holes, Hall effect
(4)
Occurrence, destruction of super conductivity, Meissner effect, type I and type II Super-conductors; heat capacity, isotope effect, thermodynamical considerations, phenomenological considerations, coherence length, BCS theory (elementary description), applications of superconductors.
(4)
BOOK:
1. Concepts of Modern Physics, by Arthur Beiser (McGraw-Hill)
REFERENCES:
1. Nuclear Physics, by I. Kaplan (Addison-Wesley)
2. Solid State Physics, by C. Kittel (Wiley Eastern)
3. Solid State Physics, by S.O. Pillai (New Age International)
4. Introduction to Modern Physics, by Richtmyer, Kennard & Cooper ( McGraw Hill)
5. Introduction to Modern Physics, by Mani & Mehta (East West Press)
6. Modern Physics, by Bernstein, Fishbane & Gasiorowicz (Pearson Education)
PY 201H PHYSICS-II
In addition to the contents of PY 201 the additional topics:
Quantum Mechanics α-decay, Zeeman effect, Correspondence Principle, Angular Momentum in Quantum Mechanics
Nuclear Physis: Artificial radioactivity and its applications, α-decay (energy spectrum & discovery of neutrino), Fusion Reactions in stars
Statistical Physis :Specific heat of solids, Bose-Einstein condensation
Solid & Semisonductor Physis: p-n junction, rectifier, LED, tunnel diode
Super Conductivity: High temperature superconductivity, Josephson junctions
Course Name : PHYSICS LAB.
Course Code : PY 202
Credits : 2
L T P : 0 0 3
- Study of significant figures and error analysis, techniques of drawing graphs and estimation of error in the slope and intercept of a linear graph.
- Learning to take into account the effects of experimental uncertainties and theoretical assumptions when making judgments about relationships between physical quantities.
- Familiarization with various measuring instruments starting from vernier callipers to spectrometer to cathode ray oscilloscope.
- Simple measurements – lengths, diameters, current, potential difference etc. and comparison of different methods of measurement of the same quantity.
- Learning to build simple electric circuits with series and parallel connections and use these to test qualitative hypotheses and quantitative rules.
- Designing a method to draw equipotential lines with various geometries of electrodes kept at different potentials.
- Finding the refractive index of a liquid – fabricating one’s own hollow prism.
- Determination of the wavelength of sodium light using various methods with the help of whatever apparatus is available in the lab.
- Preparing a single slit, double slit and multiple slits etc. and to study the interference/diffraction patterns produced by these.
At least 2 of the following exercises to be taken up with write-up as required for submission to a journal
- Using a photocell to determine Planck’s constant.
- Determination of the band gap of a semiconductor by any method for which the apparatus is available.
- Study of B-H curves for different materials.
- Measurement of Hall Voltage, Hall Angle etc. for a few materials.
- Determination of the Curie temperature of a couple of ferromagnetic materials.
- Measurement of Dielectric Constant of a couple of materials.
BOOK:
1. Practical Physics, by Gupta & Kumar (Pragati Prakashan)
REFERENCES:
1. B.Sc. Practical Physics, by C.L. Arora (S. Chand)