10AU32B/10AU42B IA MECHANICAL MEASUREMENTS AND METROLOGY syllabus Visvesvaraya Technological University

MECHANICAL MEASUREMENTS AND METROLOGY
Sub Code : 10AU32B/10AU42B IA Marks : 25
Hrs/week : 04 Exam Hours : 03
Total Lecture Hrs : 52 Exam Marks: 100
PART- A
UNIT-1: Standards of measurement:
Definition and Objectives of metrology, Standards of length-International prototype meter, Imperial
standard yard, Wave length standard, subdivision of standards, line and end standard, calibration of end
bars (Numerical), Slip gauges, Wringing phenomena, Indian Standards (M-81, M-12), Numerical
problems on building of slip gauges.
06 Hours
UNIT-2: System of Limits, Fits, Tolerance and Gauging:
Definition of tolerance, Specification in assembly, Principle of interchangeability and selective assembly
limits of size, Indian standards, concept of limits of size and tolerances, compound tolerances,
accumulation of tolerances, definition of fits, types of fits and their designation (IS919-1963), geometrical
tolerance, positional-tolerances, hole basis system, shaft basis system, classification of gauges, brief concept
of design of gauges (Taylor's principles), Wear allowance on gauges, Types of gauges-plain plug gauge,
ring gauge, snap gauge, limit gauge and gauge materials.
07 Hours
UNIT-3: Comparators and Angular measurement:
Introduction to comparators, characteristics, classification of comparators, mechanical comparators-
Johnson Mikrokator, sigma comparators, dial indicator, optical comparators-principles, Zeiss ultra
optimeter, electric and electronic comparators-principles, LVDT, pneumatic comparators, back pressure
gauges, solex comparators. Angular measurements, bevel protractor, sine principle and use of sine bars, sine
centre, use of angle gauges (numericals on building of angles), clinometers.
07 Hours
UNIT-4: Interferometer and screw thread, gear measurement:
Interferometer, interferemetry, autocollimator. Optical flats. Terminology of screw threads,
measurementof major diameter, minor diameter, pitch, angle and effective diameter of screw threadsby
2-wire and 3-wire methods, best size wire. Tool maker's microscope, gear.to., terminology, use
of gear tooth vernier caliper and micrometer.
06 Hours
PART-B
UNIT-5: Measurements and measurement systems:
Definition, significance of measurement, generalized measurement system, definitions and concept of
accuracy, precision, calibration, threshold, sensitivity, hysterisis, repeatability, linearity, loading effect,
system response-times delay. Errors in measurement, classification of errors. Transducers, transfer
efficiency, primary and secondary transducers, electrical, mechanical, electronic transducers,
advantages of each type transducers.
07 Hours
5
UNIT-6 Intermediate: modifying and terminating devices:
Mechanical systems, inherent problems, electrical intermediate modifying devices, input circuitry,
ballast circuit, electronic amplifiers and telemetry. Terminating devices, mechanical, cathode ray
oscilloscope, oscillographs, X-Y plotters.
06 Hours
UNIT-7:Measurement of force, torque and pressure:
Principle, analytical balance,platform balance, proving ring. Torque measurement, Prony brake,
hydraulicdynamometer. Pressure measurements, principle, use of elastic merijbers, Bridgemangauge,
Mcloed gauge, Pirani gauge.
06 Hours
I
UNIT-8:Temperature and strain measurement:
Resistance thermometers, thermocouple, law of thermo couple, materials used for construction,
pyrometer, optical pyrometer. Strain measurements, strain gauge, preparation and mounting of strain gauges,
gauge factor, methods of strain measurement.
07 Hours
TEXT BOOKS:
1. Mechanical Measurements, Beckwith Marangoni and Lienhard, Pearson
Education, 6th Ed., 2006.
2. Engineering Metrology, R.K. Jain, Khanna Publishers, 1994.
REFERENCE BOOKS:
1. Engineering Metrology, I.C. Gupta, Dhapat Rai Publications,Delhi.
2. Mechanical Measurements, R.K. Jain
3. Industrial Instrumentation, Alsutko, Jerry. D. Faulk, Thompson Asia Pvt. Ltd.2002.
4. Measurement Systems Applications and Design, Ernest O. Doblin, McGraw
Hill Book Co.

10AU32A/10AU42A IA MATERIAL SCIENCE AND METALLURGY Syllabus Visvesvaraya Technological University

MATERIAL SCIENCE AND METALLURGY
Sub Code : 10AU32A/10AU42A IA Marks : 25
Hrs/week : 04 Exam Hours : 03
Total Lecture Hrs : 52 Exam Marks: 100
PART - A
UNIT – 1 Crystal Structure:
BCC, FCC and HCP Structures, coordination number and atomic packing factors, crystal imperfections -point
line and surface imperfections. Atomic Diffusion: Phenomenon, Flick's laws of diffusion, factors affecting
diffusion.
06 Hours
UNIT – 2 Mechanical Behaviour:
Stress-strain diagram showing ductile and brittle behaviour of materials, linear and non linear elastic
behaviour and properties, mechanical properties in plastic range, yield strength offset yield strength, dutility,
ultimate tensile strength, toughness. Plastic deformation of single crystal by slip and twinning.
06 Hours
UNIT – 3
Fracture:
Type I, Type II and Type III.
Creep:
Description of the phenomenon with examples. three stages of creep, creep properties, stress relaxation.
3
Fatigue:
Types of fatigue loading with examples, Mechanism of fatigue, fatigue properties, fatigue testing and SN
diagram.
07 Hours
UNIT – 4 Solidification:
Mechanism of solidification, Homogenous and Hetrogeneous nucleation, crystal growth, cast metal
structures.
Phase Diagram I:
Solid solutions Hume Rothary rule substitional, and interstitial solid solutions, intermediate phases, Gibbs
phase rule.
07 Hours
PART - B
UNIT – 5 Phase Diagram II:
Construction of equilibrium diagrams involving complete and partial solubility, lever rule. Iron carbon
equilibrium diagram description of phases, solidification of steels and cast irons, invariant reactions.
06 Hours
UNIT – 6 Heat treating of metals:
TTT curves, continous cooling curves, annealing and its types. normalizing, hardening, tempering,
martempering, austempering, hardenability, surface hardening methods like carburizing, cyaniding, nitriding,
flarne hardening and induction hardening, age hardening of aluminium-copper alloys.
07 Hours
UNIT – 7 Ferrous and non ferrous materials:
Properties, Compostion and uses of
• Grey cast iron, malleable iron, S.G iron and steel
• Copper alloys-brasses and bronzes.
• Aluminium alloys-Al-Cu,Al-Si,Al-Zn alloys.
06 Hours
UNIT – 8 Composite Materials:
Definition, classification, types of matrix materials & reinforcements, fundamentals of production of FRP' sand
MMC's advantages and application of composites.
07 Hours
TEXT BOOKS:
1. Foundations of Materials Science and Engineering, Smith, 3rd Edition McGraw Hill, 2009
2. Materials Science, Shackleford., & M. K. Muralidhara, Pearson Publication – 2007.
REFERENCE BOOKS:
1. An introductionn to Metallurgy; Alan Cottrell, University Press India Oriental Longman Pvt. Ltd.,
1974.
2. Engineering Materials Science, W.C.Richards, PHI, 1965
3. Physical Metallurgy; Lakhtin, Mir Publications
4. Materials Science and Engineering, V.Raghavan , PHI, 2002
5. Elements of Materials Science and Engineering, H. VanVlack, Addison- Wesley Edn., 1998

10 MAT 31 IA ENGINEERING MATHEMATICS – III Visvesvaraya Technological University Syllabus

ENGINEERING MATHEMATICS – III

CODE: 10 MAT 31 IA Marks: 25

Hrs/Week: 04 Exam Hrs: 03

Total Hrs: 52 Exam Marks:100

PART-A

Unit-I: FOURIER SERIES

Convergence and divergence of infinite series of positive terms, definition and illustrative
examples*
Periodic functions, Dirichlet’s conditions, Fourier series of periodic functions of period
and arbitrary period, half range Fourier series. Complex form of Fourier Series.
Practical harmonic analysis. [7 hours]
Unit-II: FOURIER TRANSFORMS
Infinite Fourier transform, Fourier Sine and Cosine transforms, properties, Inverse
transforms [6 hours]
Unit-III: APPLICATIONS OF PDE
Various possible solutions of one dimensional wave and heat equations, two dimensional
Laplace’s equation by the method of separation of variables, Solution of all these
equations with specified boundary conditions. D’Alembert’s solution of one dimensional
wave equation.
[6 hours]
Unit-IV: CURVE FITTING AND OPTIMIZATION
Curve fitting by the method of least squares- Fitting of curves of the form
y = ax+b, y =a x2 + b x + c, , y
bx b
y = a e = ax
Optimization: Linear programming, mathematical formulation of linear programming
problem (LPP), Graphical method and simplex method.
[7 hours]
PART-B
Unit-V: NUMERICAL METHODS - 1
Numerical Solution of algebraic and transcendental equations: Regula-falsi method,
Newton - Raphson method. Iterative methods of solution of a system of equations: Gaussseidel
and Relaxation methods. Largest eigen value and the corresponding eigen vector by
Rayleigh’s power method.
[6 hours]
Unit-VI: NUMERICAL METHODS – 2
Finite differences: Forward and backward differences, Newton’s forward and backward
interpolation formulae. Divided differences - Newton’s divided difference formula,
Lagrange’s interpolation formula and inverse interpolation formula.
2
Numerical integration: Simpson’s one-third, three-eighth and Weddle’s rules (All
formulae/rules without proof)
[7 hours]
Unit-VII: NUMERICAL METHODS – 3
Numerical solutions of PDE – finite difference approximation to derivatives, Numerical
solution of two dimensional Laplace’s equation, one dimensional heat and wave equations
[7 hours]
Unit-VIII: DIFFERENCE EQUATIONS AND Z-TRANSFORMS
Difference equations: Basic definition; Z-transforms – definition, standard Z-transforms,
damping rule, shifting rule, initial value and final value theorems. Inverse Z-transform.
Application of Z-transforms to solve difference equations.
[6 hours]
Note: * In the case of illustrative examples, questions are not to be set.
Text Books:
1. B.S. Grewal, Higher Engineering Mathematics, Latest edition, Khanna Publishers
2. Erwin Kreyszig, Advanced Engineering Mathematics, Latest edition, Wiley
Publications.
Reference Book:
1. B.V. Ramana, Higher Engineering Mathematics, Latest edition, Tata Mc. Graw
Hill Publications.
2. Peter V. O’Neil, Engineering Mathematics, CENGAGE Learning India Pvt
Ltd.Publishers