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Shivaji University, Kolhapur
T.E. Mechanical Engineering
Scheme of Teaching & Examination
SEMESTER V
S No. Subject L T P D
r
Total PT TW OE PO
E
Total
1. Theory of machine II 3 -- 2 -- 4 100 25 25 -- 150
2. Heat and mass
transfer
3 -- 2 -- 5 100 25 -- 25 150
3. Machine design I 3 -- 2 -- 4 100 25 -- -- 125
4. Metrology & Quality
Control
3 -- 2 -- 4 100 25 25 -- 150
5. Manufacturing
Engineering
3 -- 2 -- 4 100 25 -- -- 125
6. Control Engineering 3 -- 2 -- 5 100 25 -- -- 125
7. Workshop Practice
V
-- -- 2 -- 2 -- -- -- --
Total 18 12 30 600 175 50 25 850
Course Plan
Course Theory of Machines II Course Code
Examination
Scheme
Theory Term Work OE Total
Max. Marks 100 25 25 150
Contact
Hours/ week
3 2 -- 5
Prepared by Mr. Pandav A. N Date 28.04.2014
Prerequisites Knowledge of fundamental laws, force, moment and couple, resolution and
composition of force, system of forces, resultant, free body diagram.
also Basics of Displacement, Velocity,& Acceleration
Course Outcomes
At the end of the course the students should be able to:
CO1 Explain the basics of Gear, Gear Geometry, laws and types of gear profiles
CO2 Discuss the types of Gear trains and can calculate the speeds of elements in
epi-cyclic gear train
CO3 Discuss the effect of Gyroscopic couple and its effect on Aero plane, Ship,
Four-Wheeler, Two –Wheeler.
CO4 Comprehend the Principle of Static and Dynamic balancing of rotary and
reciprocating masses.
CO5 Explain the fundamentals of vibrations and also the types of vibrations.
CO6 To analyze the single degree freedom systems and understand the purpose
and types of damping.
CO7 To identify and describe the parameters of Forced vibrations
CO8 Analyze the Critical speed of shaft and evaluate natural frequency of shafts
with different type of end conditions.
Mapping of COs with POs
POs
COs
a b c d E f G h i j k l
CO1
CO2 √
CO3 √
CO4 √
CO5 √
C06 √
CO7 √
CO8 √
Course Contents
Unit No. Title No. of
Hours
Section I
1. Toothed Gearing
Geometry of motion, Gear geometry, Types of gear profile- involute
& cycloidal, Theory of Spur, Helical & Spiral gears, Interference in
involute tooth gears and methods for its prevention, Path of contact,
Contact ratio ,Efficiency and center distance of spiral gears.
05
2. Gear Trains
Types of Gear trains- Simple, Compound, Reverted, Epicyclic gear
train, Tabular method for finding the speeds of elements in epicyclic
gear train, Differential gear box. Equivalent mass and Moment of
Inertia applied to gear trains.
05
3.. Gyroscope
Gyroscopic couple, Spinning and Precessional motion, Gyroscopic
couple and its effect on – i) Aero plane ii) Ship iii) Four-Wheeler
iv) Two –Wheeler.
04
4. Balancing
Static and Dynamic balancing of rotary and reciprocating masses.
Primary and Secondary forces and couples. Direct and Reverse
cranks. Balancing of Single cylinder, Multi cylinder-Inline and V-
Engines for four wheeler.
06
Section II
5. Fundamentals of Vibrations
Basic concepts and definitions, vibration measuring parameters-
Displacement, Velocity and acceleration, Free and forced vibrations,
Equivalent Springs. Types of damping.
03
6. Single degree of freedom systems
Free vibrations with and without damping (Rectilinear, Torsional &
Transverse), degree of damping. Logarithmic decrement, equivalent
viscous damping, Coulomb damping.
06
7. Forced vibrations
Viscous damping, magnification factor, frequency response curves,
vibration isolation and transmissibility, forced vibrations due to
support excitation.
06
8. Critical speeds of shafts
Critical speed of shaft with and without damping, secondary critical
speed, natural frequency of shafts with different type of end
conditions.
05
Reference Books:
Sr. No. Title of Book Author Publisher/Edition Topics
1 Theory of Machines Rattan S.S Tata McGraw Hill Part I
2 Theory of Machines & Mechanisms Shigley Tata McGraw Hill 1,2
3 Theory of Machines Khurmi R. S S. Chand Pub. All
4 Mechanical Vibrations Grover G.K Nemchand Pub. Part II
5 Mechanical Vibrations S.S.Rao Pearson EdU. Pub. Part II
6 Theory of Machines by R.K.Bansal Laxmi pub. 1st to 4
th
7 Theory of Machines Dr. V.P.Singh Dhanpat Rai Pub. All
8 Mechanical Vibrations Dr. V.P.Singh Dhanpat Rai Pub. All
Scheme of Marks
Section Unit No. Title Marks
I 1 Toothed Gearing 16
I 2 Gear Trains 16
I 3 Gyroscope 16
I 4 Balancing 18
II 5 Fundamentals of Vibrations 08-16
II 6 Single degree of freedom systems 16
II 7 Forced vibrations 18
II 8 Critical speeds of shafts 08-16
Course Unitization
Section
Unit Course
Outcomes No. of Questions in
No. Title CAT-I CAT-II
I
1 Toothed Gearing CO1 Question of 15 marks
2 Gear Trains CO2 Question of 15 marks
3 Gyroscope CO3 Question of 15 marks
II
5 Fundamentals of
Vibrations CO5 Question of 15 marks
6 Single degree of
freedom System CO6 Question of 15 marks
7 Forced vibrations CO7 Question of 15 marks
Unit wise Lesson Plan
Section I
Unit
No
1 Unit Title Toothed Gearing Planned Hrs. 05
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Understand the Gear Geometry, and Gear Profile. CO1
UO2 Explain the Parameters of the gears CO1
UO3 Identify the Interference in involute tooth gears and prevent it CO1
UO4 Define the Path of contact, Contact ratio, Efficiency and center distance
of spiral gears.
CO1
UO5 Solve Numerical problems on Path of contact, Contact ratio &,Efficiency CO1
Lesson schedule
Class
No.
Details to be covered
1 Geometry of motion, Gear geometry, Types of gear profile- involute & cycloidal,
2 Theory of Spur, Helical & Spiral gears,
3 Interference in involute tooth gears and methods for its prevention,
4 Path of contact, Contact ratio ,Efficiency and center distance of spiral gears.
5 Numerical problems on Path of contact, Contact ratio &,Efficiency
Review Questions
Q1 Derive an expression for the length of the arc of contact in a pair of
meshed spur gears.
CO1
Q2 State and prove the law of gearing. Show that involute profile satisfies
the conditions for correct gearing.
CO
Q3 Derive an expression for the centre distance of a pair of spiral gears. CO1
Q4 Define (i) normal pitch, and (ii) axial pitch relating to helical gears. CO1
Q5 Prove that for two involute gear wheels in mesh, the angular velocity
ratio does not change if the centre distance is increased within limits,
but the pressure angle increaseshe pitch circle diameter of the smaller of
the two spur wheels which mesh externally and have involute teeth is
100 mm. The number of teeth are 16 and 32. The pressure angle is 20°
and the addendum is 0.32 of the circular pitch. Find the length of the
path of contact of the pair of teeth.
CO
Section I
Unit
No
2 Unit Title Gear Train Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Explain the types of the gear trains CO2
UO2 Identify the elements of Epi-Cyclic Gear train CO2
UO3 Find the speeds of the elements of the Gear train by using Tabular
method
CO2
UO4 Explain the working of Differential gear Box CO2
UO5 Solve Numerical problems on Gear train CO2
Lesson schedule
Class
No.
Details to be covered
1 Types of Gear trains- Simple, Compound, Reverted, Epicyclic gear train
2 Tabular method for finding the speeds of elements in epicyclic gear train,
3 Solve Numerical problems on Gear train by using Tabular method
4 Solve Numerical problems on Gear train by using Tabular method
5 Differential gear box. Equivalent mass and Moment of Inertia applied to gear
trains.
Review Questions
Q1 What do you understand by „gear train‟?
Discuss the various types of gear trains.
CO2
Q2 Explain briefly the differences between simple, compound, and epicyclic
gear trains. What are the special advantages of epicyclic gear trains?
CO2
Q3 How the velocity ratio of epicyclic gear train is obtained by tabular
method?
CO2
Q4 A compound epicyclic gear is shown diagrammatically in Figure. The
gears A, D and E are free to rotate on the axis P. The compound gear B
and C rotate together on the axis Q at the end of arm F. All the gears
have equal pitch. The number of external teeth on the gears A, B and C
are 18, 45 and 21 respectively. The gears D and E are annular gears. The
gear A rotates at 100 r.p.m. in the anticlockwise direction and the gear D
rotates at 450 r.p.m. clockwise. Find the speed and direction of the arm
and the gear E.
CO2
Section I
Unit
No
3 Unit Title Gyroscope Planned Hrs. 04
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Discuss the Gyroscopic Couple CO3
UO2 Differentiate Active and Reactive Gyroscopic Couple CO3
UO3 Explain the Gyroscopic effect on – i) Aero plane ii) Ship iii) Four-
Wheeler iv) Two –Wheeler.
CO3
UO4 Solve Numerical problems on Gyroscopic Couple CO3
Lesson schedule
Class
No.
Details to be covered
1 Gyroscopic couple, Spinning and Precessional motion,
2 Gyroscopic couple and its effect on – i) Aero plane ii) Ship
3 Gyroscopic couple and its effect on – iii) Four-Wheeler iv) Two –Wheeler.
4 Numerical problems on Gyroscopic Couple
Review Questions
Q1 Write a short note on gyroscope. CO3
Q2 What do you understand by gyroscopic couple ? Derive a formula for its
magnitude.
CO3
Q3 Explain the application of gyroscopic principles to aircrafts. CO3
Q4 Explain the effect of the gyroscopic couple on the reaction of the four
wheels of a vehicle negotiating a curve.
CO3
Section I
Unit
No
4 Unit Title Balancing Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Analyze Static and Dynamic balancing of rotary and reciprocating
masses
CO4
UO2 Explain the Direct and Reverse cranks CO4
UO3 To Perform the Balancing of Single cylinder, Multi cylinder-Inline and
V-Engines for four wheeler analytically.
CO4
UO4 Solve Numerical problems on Static and Dynamic balancing CO4
Lesson schedule
Class
No.
Details to be covered
1 Static and Dynamic balancing of rotary masses
2 Static and Dynamic balancing and reciprocating masses.
3 Primary and Secondary forces and couples.
4 Direct and Reverse cranks.
5 Balancing of Single cylinder, Multi cylinder-Inline and V-Engines for four
wheeler.
6 Numerical problems on Balancing of Single cylinder, Multi cylinder-Inline and V-
Engines for four wheeler.
Review Questions
Q1 Explain precisely the uses of turning moment diagram of reciprocating
engines.
CO4
Q2 Discuss the turning moment diagram of a multicylinder engine. CO4
Q3 Define „inertia force‟ and „inertia torque‟. CO4
Q4 The inertia of the connecting rod can be replaced by two masses
concentrated at two points and connected rigidly together. How to
determine the two masses so that it is dynamically equivalent to the
connecting rod ? Show this.
CO4
Section II
Unit
No
5 Unit Title Fundamentals of Vibrations Planned Hrs. 03
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Explain Basic concepts and definitions of Vibrations CO5
UO2 Identify the vibration measuring parameters & Define Free and forced
vibrations &
CO5
UO3 Analyze Equivalent Spring- Mass System CO5
Lesson schedule
Class
No.
Details to be covered
1 Basic concepts and definitions
2 Vibration measuring parameters- Displacement, Velocity and acceleration, Free
and forced vibrations.
3 Equivalent Springs. Types of damping
Review Questions
Q1 What are the causes and effects of vibrations? CO5
Q2 Define, in short, free vibrations, forced vibrations and damped
vibrations
CO5
Q3 Discuss briefly with neat sketches the longitudinal, transverse and
torsional free vibrations.
CO5
Q4 Deduce an expression for the natural frequency of free transverse
vibrations for a simply supported shaft carrying uniformly distributed
mass of m kg per unit length.
CO5
Section II
Unit
No
6 Unit Title Single degree of freedom systems Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Explain the Single degree of freedom systems CO6
UO2 Identify the Free vibrations with and without damping (Rectilinear,
Torsional & Transverse)
CO6
UO3 Determine the Natural Frequency of Mechanical System by using D‟
Alembert‟s Principle
CO6
UO4 Derive the General Solution to Differential Equation and types of
damped Systems
CO6
UO5 Solve Numerical problems on Natural Frequency of the Systems CO6
Lesson schedule
Class
No.
Details to be covered
1 Free vibrations with and without damping (Rectilinear, Torsional & Transverse),
degree of damping
2 General Solution to Differential Equation and types of damped Systems
3 Logarithmic decrement
4 Equivalent viscous damping, Coulomb damping.
5 Numerical problems on Natural Frequency of the Systems
6 Numerical problems on Natural Frequency of the Systems
Review Questions
Q1 Derive the General Solution to Differential Equation and types of
damped Systems
CO6
Q2 Explain & Derive an expression of Logarithmic decrement as applied to
damped vibrations
CO6
Q3 Explain The Rayleigh‟s method for finding the natural frequency of
vibratory system.
CO6
Section II
Unit
No
7 Unit Title Forced Vibrations Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Explain the Forced Vibrations CO7
UO2 Identify the Forced vibrations with damping. CO7
UO3 Explain the forced vibrations due to support excitation, magnification
factor, and draw frequency response curves.
CO7
UO4 Derive the General Solution to Differential Equation for forced damped
vibrations with constant harmonic excitation.
CO7
UO5 Solve Numerical problems on above parameters CO7
Lesson schedule
Class
No.
Details to be covered
1 Forced vibrations with viscous damping
2 Magnification factor
3 Frequency response curves
4 Vibration isolation and transmissibility
5 Forced vibrations due to support excitation.
6 Numerical problems
Review Questions
Q1 Derive the expression for amplitude of steady vibrations, phase angle
for a spring mass damper system subjected to external periodic force
CO7
Q2 Explain the term magnification factor and obtain expression for it? CO7
Q3 Explain salient features of frequency response curves and phase
frequency
CO7
Section II
Unit
No
8 Unit Title Critical Speeds of the shaft Planned Hrs. 05
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Explain the Critical speed of shaft CO8
UO2 Identify the secondary critical speed of the shaft. CO8
UO3 Derive the expression for Critical speed of shaft with different end
conditions
CO8
UO4 Solve Numerical problems on above parameters CO8
Lesson schedule
Class
No.
Details to be covered
1 Critical speed of shaft without damping
2 Critical speed of shaft with damping
3 Secondary critical speed,
4 Natural frequency of shafts with different type of end conditions.
5 Numerical problems
Review Questions
Q1 Derive the expression for Critical speed of shaft without damping CO8
Q2 Explain the term Secondary critical speed? State the Significance. CO8
Q3 Why shafts are run above the critical speed in case of high speed
applications?
CO8
Model Question Paper
Course Title : Theory of Machines II
Duration
03 hrs
Max.
Marks
100
Instructions: Draw Neat Sketches whenever Necessary
Attempt any three questions from each section.
Figures to the right indicate full marks.
Assume Suitable data if necessary and state it clearly
Section-I
Marks
1 a Derive an expression for minimum number of teeth on wheel in order
to avoid interference for spur gear in mesh.
06
b Two gears having 30 and 40 involute teeth respectively are in mesh.
The pressure angle is equal to 20, module is 12 mm. Line of contact
on each side of the pitch point is two third of maximum possible
length. Find the height of addendum for each wheel, total length of
path of contact and the contact ratio.
10
2 a Prove the relation for torque required in order to accelerate a geared
system
06
b Fig. 2b shows the arrangement of wheels in a compound Epicyclic
gear train. The sun wheel S2 is integral with the annular wheel A1.
The two arms are also integral with each other. Zs1 = Zs2 = 24; ZA1
=ZA2 =96.
(I) If the shaft rotates at 2000 rpm, find the speed of speed of
shaft Y, when A2 is fixed.
(II) At the speed does Y rotate when A2 rotates 200 rpm, in the
same direction as S1, which is rotating at 2000 rpm.
Fig. 2b
10
3 a What do you understand by gyroscopic couple? Derive a formula for
its magnitude.
06
b A four wheel vehicle a mass 2500 kg has a wheel base 2.5 m track
width 1.5 m, and height of centre of gravity 0.6 m above the ground
level and lies at 1 m from the front axle. Each wheel has an effective
diameter of 0.8 m and the moment of inertia of 0.8 kgm². The drive
shaft, engine flywheel and transmission are rotating at four times the
speed of road wheels, in clockwise direction when viewed from the
front, and is equivalent to a mass of 80 kg having a radius of gyration
100 mm. if the vehicle is tacking a right turn of 60 m radius at 60
km/hr, find the load on each wheel.
10
4 a A shaft carries two masses m1 and m2 distance L apart rotating with
shaft at eccentricities r1 and r2 resp. The eccentricities r1 and r2 are
parallel and in the same sense. The shaft is to be balanced by a mass
M attached to the shaft at an eccentricity R. determine the distance
between planes of rotation of I) m1 and M ii) m2 and M in terms of
m1, m2, r1, r2, and L.
06
b A,B,C, and are four masses carried by rotating shaft at radii
180,240,120 and 150 mm resp. and the mass of B, C and D are 30, 50
& 40 kg respectively. The Planes containing masses B & C are
300mm apart. The angle between planes containing B& C is 90
degrees. B & C make angles of 210o
and 120o respectively with D in
the Same Sense find
i. The magnitude and the angular position of mass A
ii. Position of planes A & D
12
5 a Give the Classification of Vibration based on Various Parameters. 06
b Explain The Rayleigh‟s method for finding the natural frequency of
vibratory system.
08
6 a Derive an expression for logarithmic decrement and explain its
significance.
08
b A machine of 75 kg mass is mounted on three parallel springs, each of
stiffness 10N/mm and is fitted with a dashpot, to dampout vibrations.
During vibrations it is found that the amplitude of vibration diminishes
from 40 mm to 6 mm in two complete cycles.
Determine :1)The damping coefficient of at unit velocity
II) The frequency ratio of damped vibrations to undamped vibrations
III) The time period of damped vibrations.
08
7 a Derive an expression for amplitude ratio of a single degree freedom
system subjected to harmonic excitation F sinwt
08
b A mass of 90 kg is suspended from a spring which deflects by
20mm.if the damping coefficient is 0.25 times the critical damping
coefficient, find the natural frequency of damped vibrations and the
ratio of successive amplitude for damped vibrations. If the mass is
subjected to a harmonic force of 300N determine the amplitude of
10
forced vibrations and phases angle.
8 a Explain the term magnification factor with the help of frequency
response curves.
08
b A vertical shaft of 12mm diameter rotates in journal bearings and a
disc of mass 15 kg is mounted on the shaft at midspan. Determine the
critical speed of shaft rotation.
Assume E=2x
08
Assignments
List of experiments/assignments to meet the requirements of the syllabus
Assignment No. 1
Assignment Title CO1
Batch I
1. Experiment on Gyroscope.
2. Generation of involute profile using rack cutter method.
3. Problems on Epicyclic gear train using tabular method.
4. Balancing of rotary masses (Static and Dynamic)
5. Experiment on Longitudinal vibrations of helical springs.
6. Determination of logarithmic decrement (Free Damped
Vibrations) .
7. Forced vibration characteristics (Undamped and Damped
vibrations)
8. Experiment on Whirling of shaft
9. Industrial visit based on above syllabus. Experiment on
Gyroscope.
Batch II
1. Experiment on Gyroscope.
2. Generation of involute profile using rack cutter method.
3. Problems on Epicyclic gear train using tabular method.
4. Balancing of rotary masses (Static and Dynamic)
5. Experiment on Longitudinal vibrations of helical springs.
6. Determination of logarithmic decrement (Free Damped
Vibrations) .
7. Forced vibration characteristics (Undamped and Damped
vibrations)
8. Experiment on Whirling of shaft
9. Industrial visit based on above syllabus. Experiment on
Gyroscope.
Batch III
1. Experiment on Gyroscope.
2. Generation of involute profile using rack cutter method.
3. Problems on Epicyclic gear train using tabular method.
4. Balancing of rotary masses (Static and Dynamic)
5. Experiment on Longitudinal vibrations of helical springs.
6. Determination of logarithmic decrement (Free Damped
Vibrations) .
7. Forced vibration characteristics (Undamped and Damped
vibrations)
8. Experiment on Whirling of shaft
9. Industrial visit based on above syllabus. Experiment on
Gyroscope.
Batch IV
1. Experiment on Gyroscope.
2. Generation of involute profile using rack cutter method.
3. Problems on Epicyclic gear train using tabular method.
4. Balancing of rotary masses (Static and Dynamic)
5. Experiment on Longitudinal vibrations of helical springs.
6. Determination of logarithmic decrement (Free Damped
Vibrations).
7. Forced vibration characteristics (Undamped and Damped
vibrations)
8. Experiment on Whirling of shaft
9. Industrial visit based on above syllabus.
Course Plan
Course HEAT & MASS TRANSFER Course Code 45550
Examination
Scheme
Theory Term Work POE Total
Max. Marks 100 25 25 150
Contact
Hours/ week
3 25 25 150
Prepared by Mr.A.A.Patwegar Date 5/6/2014
Prerequisites The students should know about Laws of Thermodynamics ,modes of heat
transfer, basic concepts of Thermodynamics
Course Outcomes
At the end of the course the students should be able to:
CO1 Identifies the mode by which energy is transported
CO2 Develops the methods to accelerate or retard the rate of heat flow as per
requirement
CO3 Understand the basic laws of heat transfer.
CO4 Analyze problems involving steady state heat conduction in simple
geometries.
CO5 Obtain numerical solutions for conduction heat transfer problems
CO6 Understand the fundamentals of convective heat transfer process
CO7 Evaluate heat transfer coefficients for natural convection.
CO8 Evaluate heat transfer coefficients for forced convection
CO9 Analyze heat exchanger performance by using the method of log mean
temperature difference.
CO10 Analyze heat exchanger performance by using the method of heat exchanger
effectiveness.
CO11 Calculate radiation heat transfer between black body surfaces.
CO12 Calculate radiation heat exchange between gray body surfaces.
CO13 Obtain numerical solutions for radiation heat transfer problems
CO14 Analyze problems involving unsteady state heat conduction in simple
geometries.
CO15 Understand the basic laws of Mass transfer and compare between heat and
mass transfer
Mapping of COs with POs
POs
COs
a b c d e f g h i j k l m n o
CO1 √ √ √ √ √ √
CO2 √ √ √ √ √ √
CO3 √ √ √ √ √ √
CO4 √ √ √ √ √
CO5 √ √ √ √ √
CO6 √ √ √ √ √ √
CO7 √ √ √ √ √
CO8 √ √ √ √ √
CO9 √ √ √ √ √ √ √
CO10 √ √ √ √ √ √ √
CO11 √ √ √ √ √
CO12 √ √ √ √ √
CO13 √ √ √ √ √
CO14 √ √ √ √ √
CO15 √ √ √ √ √
Course Contents
Unit No. Title No. of
Hours
Section I
1. Modes of Heat Transfer
Modes of heat transfer. Basic laws of heat transfer, Introduction to
combined modes of heat transfer, Thermal conductivity and its
variation with temperature for various Engg. materials (Description
only). Nano fluids.
(02)
2. Chapter 2.1 – Steady State Heat Conduction
Derivation of Generalized Heat Conduction equation in Cartesian
co-ordinate, its reduction to Fourier, Laplace and Poisson‟s
equations. Generalized Heat conduction equation in cylindrical and
spherical coordinates (no derivation) and its reduction to one
dimension (1D), Heat conduction through plane wall, cylinder,
sphere; composites, critical radius of insulation for cylinder and
sphere. One dimensional steady state heat conduction with uniform
heat generation for wall & cylinder).
Chapter 2.2 –Extended Surfaces
Types and applications of fins, Heat transfer through rectangular and
circular fins. Fin effectiveness and efficiency, error estimation in
temperature measurement in thermo well. Applications of micro fins.
Chapter 2.3 – Unsteady State Heat Conduction
Systems with negligible internal resistance, Biot and Fourier number
and their significance, Lumped Heat capacity Analysis. Use of
Hiesler and Grober Charts. (No mathematical Treatment)
(06)
(03)
(02)
3. Radiation
Nature of thermal radiation, definitions of absorbitivity, reflectivity,
transmissivity, monochromatic emissive power. Total emissive
power and emissivity, Concept of black body& gray body,
Kirchhoff‟s law, Wein‟s law and Planck‟s law. Deduction of Stefan
Boltzmann equation. Lambert cosine rule, Intensity of radiation.
Energy exchange by radiation between two black surfaces with non-
absorbing medium in between and in absence of reradiating surfaces.
Geometric shape factor. Energy exchange by radiation between two
gray surfaces without absorbing medium and absence of re radiation
and Radiosity. Radiation network method, network for two surfaces
which see each other and nothing else.
(08)
Section II
4. Convection
Chapter 4.1
Concept of Hydrodynamic and thermal boundary layer, local and
average convective coefficient for laminar and turbulent for flat plate
and pipe.
Chapter 4.2 – Forced Convection
Dimensional analysis, Physical significance of dimensionless
numbers, Reynolds analogy for laminar flow, Numerical correlations
to solve various problems, Flow over Tube bundles
Chapter 4.3 – Natural Convection
(01)
(04)
(04)
Dimensional analysis, Physical significance of dimensionless
numbers, Numerical correlations to solve natural convection
problems, Combined free and forced convection problems.
5. Boiling and condensation
Pool boiling curves, Force boiling, Techniques for enhancement of
boiling, Nusselt‟s theory of condensation, Condensation number,
Film wise and drop wise condensation.
(02)
6. Heat Exchangers
Classification & Types of Heat exchangers, Fouling factor, and
Overall heat transfer coefficient, Analysis by LMTD and NTU
method for parallel and counter flow, Design consideration for Heat
exchangers. Heat pipe.
(06)
7. Mass Transfer
Introduction, Modes of mass transfer, Analogy between heat and
mass transfer, Mass diffusion (Mass basis, Mole basis), Fick‟s law of
diffusion, Significance of various dimensions numbers.
(02)
Reference Books:
Sr. No. Title of Book Author Publisher/Edition Units
1. Heat Transfer J.P. Holman McGraw Hill
Book Company,
New York
3,4,7
2. A text book of Heat Transfer D.S.Pavaskar Nishant
Prakashan
1to 6
3. Heat Transfer – A Practical
approach
Yunus -A –
Cengel
Tata McGraw
Hill
1 to 4,7
4. Heat and Mass Transfer R.K. Rajput, S. Chand &
Company Ltd.,
New Delhi.
110055
1 to 6
Scheme of Marks
Section Unit No. Title Marks
1 1 Modes of Heat Transfer 16
2 Conduction 24
3 Radiation 18
2 4 Convection 20
5 Boiling and condensation 12
6 Heat Exchangers 20
7 Mass Transfer 6
Course Unitization
Section
Unit
No.
Title Course Outcomes No. of Questions in
CAT-I CAT-II
I 1 Modes of Heat
Transfer
CO1,CO3,CO5 Q1, Q2, &
Q3 Solve
any two
questions
2 Conduction CO2,CO4,CO5,CO14
3 Radiation CO3,CO11,CO12,CO13
II 4 Convection CO3,CO7,CO8 Q1, Q2, &
Q3 Solve
any two
questions
5 Boiling and
condensation
CO6,CO2
6 Heat Exchangers CO2,CO9,CO10
7 Mass Transfer CO15
Unit wise Lesson Plan
Section I
Unit
No
1 Unit Title Modes of Heat Transfer
Planned
Hrs.
02
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Understand the basic modes of heat transfer CO1,CO3
UO2 Identifies the mode by which energy is transported CO1,CO3
UO3 Define Thermal conductivity and its variation with temperature for
various Engg. materials
CO5
Lesson schedule
Class
No.
Details to be covered
1 Modes of heat transfer. Basic laws of heat transfer, Introduction to combined modes of
heat transfer
2 Thermal conductivity and its variation with temperature for various Engg. Materials
(Description only). Nano fluids.
Review Questions
Q1 Explain different modes of heat transfer with suitable example Also
explain modes of heat and transfer for each mode (Nov9)
CO1,CO3
Q2 Define thermal conductivity and explain how it varies with temperature
(May10)(May11)
CO5
Q3 A 150mm steam pipe has inside diameter of 120mm and outer diameter
of 120mm and outer diameter of 160mm It is insulated with asbestos The
steam temperature is 150°C and air temperature is 20°C h(steam
side)=100W/m2 -K h(air side)=30W/m
2 -K K(asbestos)=0.8W/m -K
K(steel)=42W/m –K how thick should the insulation be provide in order
to limit the heat losses to 2.1Kw/m2 (May11)
CO5
Q4 In an infinite slab of width of 2b ,in which heat is generated at the rate of
q units per unit volume the heat transfer coefficient at surface is hand
fluid temperature is Tf Derive an expression for temperature distribution
in a wall (Nov9)
CO5
Q5 The composite wall of an oven consists of three materials two of them of
known thermal conductivity Ka=w/m°K and Kc=50w/m°K and known
thickness La=0.3m and Lc=0.15mThe third material which is sandwiched
between material A&C but of known thicknessLb=0.15mbut of unknown
thermal conductivity Kb Under steady state operating conditions,
measurement reveals an outer surface temperature of material C is
20°C& the inner surface of A is 600°Cand oven air temperature is 800°C
CO5
the inside convective coefficient is 25w/m2What is the value of Kb?
Unit
No
2 Unit Title Conduction Planned
Hrs.
11
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Derive Generalized Heat Conduction equation in Cartesian co-ordinate,
its reduction to Fourier, Laplace and Poisson‟s equations
CO4,CO5
UO2 Understand Generalized Heat conduction equation in cylindrical and
spherical coordinates
CO4,CO5
UO3 Explain Heat conduction through plane wall, cylinder, sphere ,composites CO4,CO5
UO4 Explain critical radius of insulation and its significance CO4,CO5
UO5 Understand One dimensional steady state heat conduction with uniform
heat generation for wall & cylinder
CO4,CO5
UO6 Explain One dimensional steady state heat conduction without uniform
heat generation for wall & cylinder
CO4,CO5
UO7 Understand Fin and list Types and applications of fins CO2
UO8 Define Fin effectiveness and efficiency CO2
UO9 List Applications of micro fins. CO2
UO10 Explain Biot and Fourier number and their significance CO14
UO11 Understand Use of Hiesler and Grober Charts CO14
Lesson schedule
Class
No.
Details to be covered
1 Derivation of Generalized Heat Conduction equation in Cartesian co-ordinate, its
reduction to Fourier, Laplace and Poisson‟s equations.
2 Generalized Heat conduction equation in cylindrical and spherical coordinates (no
derivation) and its reduction to one dimension (1D)
3 Heat conduction through plane wall, cylinder, sphere ,composites
4 critical radius of insulation for cylinder and sphere
5 One dimensional steady state heat conduction with uniform heat generation for wall &
cylinder
6 One dimensional steady state heat conduction without uniform heat generation for wall
& cylinder
7 Types and applications of fins
8 Heat transfer through rectangular and circular fins. Fin effectiveness and efficiency
9 Error estimation in temperature measurement in thermo well. Applications of micro
fins.
10 Systems with negligible internal resistance, Biot and Fourier number and their
significance
11 Lumped Heat capacity Analysis. Use of Hiesler and Grober Charts.
Review Questions
Q1 What is critical radius of insulation ?Derive expression for critical radius
for a spherical system (Nov9)
CO4,CO5
Q2 Derive general differential equation of conduction in Cartesian Co-
ordinates (May10
CO4,CO5
Q3 Derive an expression for steady state temperature distribution along the
radius of solid cylinder with generating heat with convective boundary
CO4,CO5
condition (May10)
Q4 Derive expression for critical radius for a cylinder (May10) CO4,CO5
Q5 Derive steady state conduction equation for i)Plane wall ii)Hollow
cylinder (Nov10)
CO4,CO5
Q6 Derive an expression heat conduction through hallow cylinder for one
dimensional steady state and no heat generation condition (May11)
CO4,CO5
Q7 Explain Fin efficiency and Fin effectiveness(Nov9) CO2
Q8 How the error in temperature measurement is obtained ?Explain it
(Nov10)
CO2
Q9 Derive expression for temperature distribution and heat transfer rate of a
Fin with insulated tip (Nov10)
CO2
Q10 Derive an expression for heat flow through finite long fin with
convection heat loss from its fin tip(May11)
CO2
Q11 A steam at 300°C is passing through a steel tube A thermometer pocket
of steel(K=45W/m°K) of inside diameter of 14mm and 1mm thick is
used to measure the temperature .Calculate the length of thermometer
pocket needed to measure the temperature within 1.8% possible error The
diameter of steel tube is 95mm The heat transfer coefficient is 93
W/m2°K and tube wall temperature is 100°C (May11)
CO2
Q12 Explain unsteady state heat conduction from a body of infinite thermal
conductivity (Nov9)
CO14
Unit
No
3 Unit Title Radiation Planned
Hrs.
8
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Indentify the terms and basic concepts of radiation CO13,CO1
1,CO3
UO2 Determine the Fundamental laws of radiation CO3,CO13
UO3 Explain radiation between two black surfaces CO11
UO4 Define shape factor and laws of shape factor CO11,CO3
UO5 Understand the concept of Electrical analogy CO11,CO3
,CO13
UO6 Understand radiation between two gray surfaces CO12,CO1
3
UO7 Understand Radiation shields CO13
Lesson schedule
Class
No.
Details to be covered
1 Nature of thermal radiation, definitions of absorbitivity, reflectivity, transmissivity,
monochromatic emissive power. Total emissive power and emissivity, Concept of
black body & gray body
2 Kirchoff‟s law, Wein‟s law and Planck‟s law
3 Deduction of Stefan Boltzman equation. Lambert cosine rule, Intensity of radiation.
4 Energy exchange by radiation between two black surfaces with non-absorbing medium
in between and in absence of reradiating surfaces.
5 Energy exchange by radiation between two gray surfaces without absorbing medium
and absence of reradiation and Radiosity.
6 Radiation network method
7 Network for two surfaces which see each other and nothing else.
8 Geometric shape factor.
Review Questions
Q1 State Planks law and Wein‟s law .Hence derive wein‟s law from planks
law (8) (Nov9)
CO3,CO13
Q2 A spherical liquid oxygen tank 0.3m in diameter is enclosed
concentrically in a spherical container of 0.4m diameter and space
between is evaluated The tank surface is at -183°C and emissivity 0.2 the
container surface is at 15°C and has an emissivity 0.25Determine the net
radiant heat transfer rate and rate of evaporation of liquid oxygen in its
latent heat is 220KJ/Kg (Nov9)
CO3,CO13
Q3 Write short notes on radiation shield (Nov9)(Nov10) CO13
Q4 State Planks law and derive Stefan Boltzmann law from planks law
(May10)
CO3
Q5 Two parallel infinite gray surfaces are maintained at temperature 127°C
and 227 °C respectively If temperature of hot surface is increased to 327
°C By what factor is the net radiation exchange per unit area increased
?Assume emissivity‟s of colder and hotter surface to be0.9and
0.7respectively (May10)
CO12,CO1
3
Q6 State and prove Kirchhoff‟s law (May10) CO3
Q7 Explain the following
i)Planks law
ii)Stefan Boltzmann law
iii) Monochromatic emissive power
IV) Intensity of radiation (Nov10)
CO3
Q8 Two very large parallel plates with emissivity‟s 0.3 and 0.8 exchange
irradiative energy Determine percentage reduction in irradiative energy
transfer when a polished aluminum shield (ϵ =0.04) is placed between
them (Nov10)
CO13
Q9 Define Lambert cosine law and Kirchhoff‟s law of thermal radiation
.Show that total emissivity of a surface is equal to total absorptivity at
same temperature (May11)
CO3
Q10 It is observed that intensity of radiation is maximum in case of solar
radiation at a wavelength of 0.49microns .Assuming Sun as black body,
estimate its surface temperature and emissive power (May11)
CO11
Q11 Experimental procedure to determine Stefan-Boltzmann constant
(May11)
CO3
Unit No 4 Unit Title Convection Plan
ned
Hrs.
9
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Describe concept of velocity boundary layer CO6
UO2 Evaluate Physical significance of dimensionless numbers for natural and
forced convection
CO3
UO3 Understand Combined free and forced convection problems CO6
UO4 Define Reynolds analogy for laminar flow CO7,CO3
UO5 Understand Dimensional analysis CO7,CO8
UO6 Obtain Numerical correlations to solve natural and forced convection
problems
CO7,CO8
Lesson schedule
Class
No.
Details to be covered
1 Concept of Hydrodynamic and thermal boundary layer, local and average convective
coefficient for laminar and turbulent for flat plate and pipe.
2 Dimensional analysis, Physical significance of dimensionless numbers
3 Reynolds analogy for laminar flow
4 Numerical correlations to solve various problems
5 Flow over Tube bundles.
6 Dimensional analysis
7 Physical significance of dimensionless numbers
8 Numerical correlations to solve natural convection problems
9 Combined free and forced convection problems
Review Questions
Q1 Describe flow over flat plate with its parameters What is effect of fluid
density over boundary layer thickness?(Nov9)
CO6
Q2 Discuss briefly the effect of turbulence on boundary layers(4) (May 10) CO6
Q3 Write Short note on Thermal boundary layer (May11) CO6
Q4 Explain the analysis the problem of forced convention with the help of
dimension analysis(May11)
CO8
Q5 Give the physical significance of Nussult‟snumber,Prandtl‟s number and CO7,CO8
Grashof number (May11)
Q6 A two stroke motor cycle petrol engine cylinder consists of 15 annular
fins If outside and inside diameters of each fin are 200mm & 100mm
respectively The average fin surface temperature is 475°C & they are
exposed to air at 25°C Calculate heat transfer rate when motor cycle is at
rest The thermo physical properties of air at 250°C are k=0.0427
W/m°KPr=0.677 v=40.61*10-6
m2/s use following correlation
Nu=0.54(Gr.Pr)0.25
(May11)
CO7
Q7 Describe Hydraulic diameter .Describe the criterion for transition from
laminar to turbulent flow (Nov 10)
CO6,CO8
Q8 What is Ditttus –Boelter Equation ?Where and when does it apply(4)
(May 10)
CO8
Q9 Air at 20°C and 1 bar flows over a flat plate at 25m/s which is maintained
at 60°C the plate is 90cm*70cm the flow is along 70cm side Take the
following properties of air at temperature of 40°C Ρ=1.13Kg/m3
K=0.02723W/m°K,Cp=1.007KJ/Kg°K,Pr=0.7,dynamic viscosity =20*10
CO8
Unit No 5 Unit Title Boiling and condensation Plan
ned
Hrs.
02
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Explain Forced boiling CO6,CO2
UO2 Understand condensation and boiling CO6, CO2
Lesson schedule
Class
No.
Details to be covered
1 Pool boiling curves, Forced boiling, Techniques for enhancement of boiling
2 Nusselt‟s theory of condensation, Condensation number, Filmwise and dropwise
condensation.
Review Questions
Q1 Write Short note on Regimes of pool boiling curve (May11) CO6,
CO2
Q2 Explain comparison between drop wise and film wise condensation
(May11)(Nov10)
CO6,
CO2
Q3 Distinguish between
i) Sub cooled and saturated boiling
ii) Pool Boiling and forced convection boiling (May11)
CO6,
CO2
Q4 Write Short note on Nucleating boiling (Nov 10) CO6,
CO2
Unit
No
6 Unit Title Heat Exchangers Planned
Hrs.
6
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Provides the analysis of various heat transfer equipment such as Heat
Exchanger
CO9,CO
10
UO2 Understand Principle ,working and Types of Heat exchangers CO9
UO3 Explain Design consideration for Heat exchangers CO9,CO
10
UO4 Explain Heat pipe and its applications CO2
UO5 Understand Fouling factor, Overall heat transfer coefficient CO10
Lesson schedule
Class
No.
Details to be covered
1 Classification & Types of Heat exchangers
2 Fouling factor, Overall heat transfer coefficient,
3 Analysis by LMTD and NTU method for parallel and counter flow
4 Design consideration for Heat exchangers.
5 Problems
6 Heat pipe.
Review Questions
Q1 Write a Short note on
i)Classification of Heat Exchangers with neat sketch (M11)
CO9
Q2 Explain the working of heat pipe with the help of neat sketch. Why is
a wick needed in heat pipe? (M11)
CO2
Q3 What do you mean by fouling factor? State the causes of fouling ?
(M11)
CO10
Q4 A Heat Exchanger is required to cool 55000kg/Hr of alcohol from
66°C to 40°C using 40,000kg/hr of water entering at 5 °C Calculate:
I)Exit Temperature of water
ii)Heat Transfer Rate
iii) Surface area required for parallel and Counter flow type of heat
exchanger
Take Cp(alcohol)=3760 J/kg °K,Cp(Water)=4180 J/kg
°K,U=580W/m2°K(8)(M11)
CO9,CO
10
Q5 Write a Short note on
I) Effectiveness –NTU method of heat exchanger Design(Nov 10)
CO10
Q5 Write Short note on.Nussult‟s theory of film wise condensation (May 10) CO6,
CO2
Q6 Counter flow Heat Exchanger is more effective than parallel flow
heat exchanger. Comment (Nov 10)
CO9,CO
10
Unit
No
7 Unit Title Mass Transfer Planned
Hrs.
02
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Understand Fick‟s law of diffusion, CO15
UO2 Compare between heat and mass Transfer CO15
Lesson schedule
Class
No.
Details to be covered
1 Introduction, Modes of mass transfer, Analogy between heat and mass transfer,
Mass
diffusion (Mass basis, Mole basis)
2 Fick‟s law of diffusion, Significance of various dimensions
numbers.
Review Questions
Q1 1. Write short notes on
i) Flicks law of diffusion (Nov9) (Nov10)
CO15
Q2 Write short notes on
Mechanisms of mass transfer (May10)
CO15
Q3 Write short notes on
Modes of Mass transfer with suitable examples (May11)
CO15
Model Question Paper
Course Title : Heat and Mass Transfer
Duration- 3
hours
Max.
Mar
ks
Instructions:1)Answer any Three questions from each section
2) Draw neat sketches whenever necessary
3)Assume suitable data if necessary and state them clearly
4)Use of Calculator is allowed
Section-I
Mar
ks
1 a Define thermal conductivity and explain how it varies with temperature 8
b What is critical radius of insulation ?Derive expression for critical radius for
a spherical system
8
2 a State Planks law and derive Stefan Boltzmann law from planks law 8
b Two parallel infinite gray surfaces are maintained at temperature 127°C and
227 °C respectively If temperature of hot surface is increased to 327 °C By
what factor is the net radiation exchange per unit area increased ?Assume
emissivity‟s of colder and hotter surface to be0.9and 0.7respectively
8
3 a Derive expression for temperature distribution and heat transfer rate of a Fin
with insulated tip
8
b A steam at 300°C is passing through a steel tube A thermometer pocket of
steel(K=45W/m°K) of inside diameter of 14mm and 1mm thick is used to
measure the temperature .Calculate the length of thermometer pocket needed
to measure the temperature within 1.8% possible error The diameter of steel
tube is 95mm The heat transfer coefficient is 93 W/m2°K and tube wall
temperature is 100°C
8
4 Write Short notes on any three
i) Fin efficiency and Fin effectiveness
ii)Laws of radiation
iii) unsteady state heat conduction
iv)Modes of heat transfer
18
Section-II
Mar
ks
5 a Describe flow over flat plate with its parameters What is effect of fluid
density over boundary layer thickness
8
b Give the physical significance of Nussult‟s number,Prandtl‟s number and
Grashof number 8
6 a Explain the analysis the problem of forced convention with the help of
dimension analysis
8
b A two stroke motor cycle petrol engine cylinder consists of 15 annular fins
If outside and inside diameters of each fin are 200mm & 100mm
respectively The average fin surface temperature is 475°C & they are
exposed to air at 25°C Calculate heat transfer rate when motor cycle is at
8
rest The thermo physical properties of air at 250°C are k=0.0427
W/m°KPr=0.677 v=40.61*10-6
m2/s use following correlation
Nu=0.54(Gr.Pr)0.25
7 a Distinguish between
i) Sub cooled and saturated boiling
ii) Pool Boiling and forced convection boiling
8
b A Heat Exchanger is required to cool 55000kg/Hr of alcohol from 66°C to
40°C using 40,000kg/hr of water entering at 5 °C Calculate:
I)Exit Temperature of water
ii)Heat Transfer Rate
iii) Surface area required for parallel and Counter flow type of heat
exchanger
Take Cp(alcohol)=3760 J/kg °K,Cp(Water)=4180 J/kg °K,U=580W/m2°K
8
8 Write Short notes on any three
i) Flicks law of diffusion
ii) Effectiveness –NTU method of heat exchanger Design
iii) Classification of Heat Exchangers with neat sketch
iv) comparison between drop wise and film wise condensation
18
Assignments
List of experiments/assignments to meet the requirements of the syllabus
Assignment No. 1
Assignment Title computer program in C language CO1
Batch I To Determine thermal conductivity of insulating powder
Batch II To Determine Stefan Boltzmann Constant.
Batch III To Determine thermal conductivity of Composite wall or lagged pipe.
Batch IV To Determine Heat Transfer Coefficient for forced convection
Assignment No. 2
Assignment Title computer program in C language CO2
Batch I To Determine of Stefan Boltzmann Constant.
Batch II To Determine thermal conductivity of Composite wall or lagged pipe.
Batch III To Determine Heat Transfer Coefficient for natural convection.
Batch IV To Determine thermal conductivity of Metals at different temperatures
List of additional assignments /experiments
Assignment No. 1
Assignment Title Nano Fluids CO
Batch I Types of Nanofluids
Batch II Preparation of Nanofluids
Batch III Heat transfer enhancement using Nanofluids
Batch IV Applications of Nanofluid
List of open ended experiments/assignments
Assignment No. 1
Assignment Title CO
Batch I
Batch II
Batch III
Batch IV
Course Plan
Course MACHINE DESIGN-I Course Code 45551
Examination
Scheme
Theory Term Work POE Total
Max. Marks 100 25 -- 125
Contact
Hours/ week
3 2 -- 5
Prepared by S. V. Dhanal Date
Prerequisites Fundamental equations: Tensile stress, Bending Stress, Shearing stress
Elastic theories of failure, types of loads
Course Outcomes
At the end of the course the students should be able to:
CO1 Explain general design procedure of designing a machine element, factor of
safety- its selection & selection of various engineering materials
CO2 Design and draw of machine elements against static loading, knuckle joint,
Turn buckle, Levers
CO3 Design welded & bolted joints subjected to transverse and eccentric loads.
Bolted joint.
CO4 Design solid & hollow shafts, transmission & line shafts, splined shafts,
Keys and Couplings
CO5 Explain various types of springs and their applications, and design Helical,
Compression & Tension springs subjected to static loading. Stresses induced
in helical springs
CO6 Explain forms of threads, and design power screw & nuts
CO7 Derive fundamental equation of motion, torque analysis, Stresses in flywheel
rim & spokes and design solid and rimmed flywheels
CO8 To do selection of flat belt, V belt and rope drives as per manufacturer‟s
catalogue.
Mapping of COs with POs
POs
COs
a b c d E F G H i j k l
CO1
CO2 √
CO3 √
CO4 √
CO5 √
CO6 √
C07 √
CO8 √
Course Contents
Unit No. Title No. of
Hours
Section I
1. Concept of Machine design, Types of loads, Factor of safety- its
selection & significance, Theories of elastic failure & their
applications, General design procedure, Review & selection of
various engineering materials properties & I.S. coding of various
materials, Factors governing selection of Engineering materials.
(05)
2. Design of machine elements against static loading, knuckle joint,
Turn buckle, Levers etc.
(04)
3. Design of welded & bolted joints subjected to transverse and
eccentric loads. Bolted joint subjected following conditions – i)
Bolted joints in shear ii) Bolted joints subjected to load perpendicular
to the axis of bolt iii) Bolted joints subjected to eccentric load on
circular base.
(04)
4. Design of solid & hollow shafts, transmission & line shafts, splined
shafts, Types of Couplings, Design of Muff, Rigid flange & Flexible
bushed pin type flanged coupling, Design of keys & splines.
(07)
SECTION II
5 Design of Springs :
Various types of springs and their applications, Design of Helical,
Compression & Tension
springs subjected to static loading. Stresses induced in helical
springs.
(05)
6 Design of Power Screw :
Forms of threads, Design of power screw & nuts, Types of induced
stresses efficiency of
power screw, self locking and overhauling properties, Introduction to
recirculating bal screw.
(06)
7 Design of flywheel & pulley :
Fundamental equation of motion, Torque analysis, Stresses in
flywheel rim & spokes. Design of solid & rimmed flywheels. Design
of pulley – Flat & V belt pulley.
(05)
8 Selection of flat belt, V belt and rope drives as per the standard
manufacturer‟s catalogue. Introduction to timing belts.
(04)
Reference Books:
Sr. No. Title of Book Author Publisher/Edition Units
1 Design of Machine Elements V.B.Bhandari Tata McGraw
Hill
1to8
2 Machine Design R.K. Jain Khanna 1 to7
3 Machine Design Pandya Shah, Charotar 1 to 7
4 Design of Machine Element J.F. Shigley Tata McGraw
Hill
1 to7
5 Design of Machine Elements P. Kannaiah Scitech
Publication
1 to7
6 PSG Design data Book 1 to 8
Scheme of Marks
Section Unit No. Title Marks
I 1 Concept of Machine Design 18
2 Design against static loading 16
3 Design of welded & bolted joints 16
4 Design of Shafts, keys & couplings 16
II 5 Design of Springs 16
6 Design of power screw 16
7 Design of flywheel and pulleys 18
8 Selection of belts & rope drives 16
Course Unitization
Section
Unit Course
Outcomes
No. of Questions in
No. Title CAT-I CAT-II
I 1,2 Concept of Machine
Design, Design against
static loading
CO1, CO2 Q1, Q2
4 Design of Shafts, keys &
couplings
CO3 Q3
II 5,6 Design of springs, power
screw
CO5,CO6 Q1, Q2
8 Selection of belts & rope
drives
CO8 Q3
Unit wise Lesson Plan
Section I
Unit No 1 Unit Title Concept of Machine Design Planne
d Hrs.
05
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Explain general design procedure for a machine element CO1
UO2 factor of safety, to select engg. material for a machine element, I S coding CO1
Lesson schedule
Class
No.
Details to be covered
1 Types of loads, Factor of safety, Theories of elastic failure & their applications,
2 General design procedure for a machine element
3 Selection of various engineering materials properties
4 I.S. coding of various materials,
5 Factors governing selection of Engineering materials.
Review Questions
Q1 Explain general design procedure for a machine element CO1
Q2 Define factor of safety & explain factor affecting selection of f.o.s. CO1
Q3 Explain factors governing, selection of engineering materials for designing
a machine element
CO1
Unit No 2 Unit Title Design against static loading Planne
d Hrs.
04
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Explain design procedure of Knuckle joints, turn buckle CO2
UO2 Indentify type of lever, design levers CO2
Lesson schedule
Class
No.
Details to be covered
1 Design procedure of Knuckle joint.
2 Design of knuckle joints
3 Design procedure for turn buckle with neat sketch
4 Types of levers with examples, design of levers
Review Questions
Q1 Explain in detail design procedure of Knuckle joint. CO2
Q2 Explain types of levers with examples CO2
Q3 Design a Knuckle Joint to transmit 150 KN load. The design stresses may
be taken as 75 MPa in tension 60 MPa in shear & 150 MPa in compression
CO2
Q4 Explain design procedure for Turn Buckle with neat sketch CO2
Unit No 3 Unit Title Design of welded joints & bolted joints Planne
d Hrs.
04
Unit Outcomes
At the end of this unit the students should be able to:
UO1 To determine size of welds CO3
UO2 To design bolted joints subjected eccentric loads CO3
UO3 To explain eccentric load acting in the plane of bolts and perpendicular to
the axis of bolt
CO3
Lesson schedule
Class
No.
Details to be covered
1 Design of welded joints subjected to transverse and eccentric loads.
2 Design of bolted joints subjected eccentric loads
3 Bolted joints subjected to load perpendicular to the axis of bolt
4 Bolted joints subjected to eccentric load on circular base
Review Questions
Q1 Explain eccentric load acting in the plane of bolts CO3
Q2 explain eccentric load acting in the plane of bolts CO3
Q3 A bracket carrying a load of 15 KN is to be welded as shown in fig. Find
the size of weld, if permissible shear stress for the weld is 80N/mm2.
Assume static condition.
CO3
Q4 Write the advantages of welded joint over bolted joint CO3
Unit No 4 Unit Title Design of shaft, keys & couplings Planne
d Hrs.
07
Unit Outcomes
At the end of this unit the students should be able to:
UO1 To design shafts on strength & rigidity basis CO4
UO2 To design different types of couplings CO4
UO3 To explain different types of keys & to design CO4
Lesson schedule
Class
No.
Details to be covered
1 Design of solid shafts
2 Transmission & line shafts, splined shafts
3 Types of Couplings, Design Procedure of Muff,
4 Rigid flange coupling
5 Flexible bushed pin type flanged coupling,
6 Design of keys & splines.
7 Design of hollow shafts
Review Questions
Q1 A shaft made of mild steel is required to transmit 100 KW at 300 r.p.m.
The supported length of the shaft is 3 metres. It carries two pulleys each
weighing 1500 N supported at a distance of 1 metre from the ends
respectively. Assuming the safe value of stress as 60 MPa, determine the
diameter of the shaft.
CO4
Q2 Explain design procedure of rigid flange coupling CO4
Q3 A steel spindle transmits 4 kW at 800 r.p.m. The angular deflection should
not exceed 0.25° per metre of the spindle. If the modulus of rigidity for the
material of the spindle is 84 GPa, find the diameter of the spindle and the
shear stress induced in the spindle.
CO4
Q4 Explain different types of keys with neat sketches CO4
Section II
Unit No 5 Unit Title Design of Springs Planne
d Hrs.
05
Unit Outcomes
At the end of this unit the students should be able to:
UO1 To explain types of springs and their applications CO5
UO2 To design helical compression and tension springs CO5
Lesson schedule
Class
No.
Details to be covered
1 Various types of springs and their applications
2 Design of Helical compression spring
3 Design of Helical compression spring, different end styles
4 Design of Helical tension spring
5 Stresses induced in helical springs
Review Questions
Q1 A compression coil spring made of an alloy steel is having the following
specifications: Mean diameter of coil = 50 mm ; Wire diameter = 5 mm ;
Number of active coils = 20. If this spring is subjected to an axial load of
500 N ; calculate the maximum shear stress (neglect the curvature effect)
to which the spring material is subjected.
CO5
Q2 A helical spring is made from a wire of 6 mm diameter and has outside
diameter of 75 mm. If the permissible shear stress is 350 MPa and modulus
of rigidity 84 kN/mm2,
find the axial load which the spring can carry and
the deflection per active turn.
CO5
Unit No 6 Unit Title Design of Power screws Planne
d Hrs.
05
Unit Outcomes
At the end of this unit the students should be able to:
UO1 To explain forms of threads CO6
UO1 To design of power screw & nuts CO6
Lesson schedule
Class
No.
Details to be covered
1 Forms of threads, terminology
2 Design of power screw & nuts, to explain self locking and overhauling properties
3 Design of power screw & nuts
4 self locking and overhauling properties
5 Introduction to recirculating ball screw
Review Questions
Q1 Explain different forms of threads with relative advantages & disadvanages CO6
Q2 A square threaded screw exerts a load of 30 KN, with outer diameter of
threads as 75mm and pitch of 6mm. the height of nut is 150mm. Find i)
force req. at the end of rim of 300mm diameter wheel with coeff of friction
0.12 ii) max. compressive stress in screw, bearing pressure on threads &
shear stress in the threads. Iii) efficiency of the screw.
CO6
Unit No 7 Unit Title Design of flywheel & pulley Planne
d Hrs.
05
Unit Outcomes
At the end of this unit the students should be able to:
UO1 To derive fundamental equation of motion, Coefficient of Fluctuation of
Energy
CO7
UO2 torque analysis, Stresses in flywheel rim & spokes CO7
UO3 To design flywheel & pulley CO7
Lesson schedule
Class
No.
Details to be covered
1 Fundamental equation of motion, Coefficient of Fluctuation of Energy
2 Torque analysis, Stresses in flywheel rim & spokes
3 Design of solid & rimmed flywheels
4 Design of pulley
5 Flat & V belt pulley
Review Questions
Q1 Explain Coefficient of Fluctuation of Energy of flywheel CO7
Q2 Explain stresses in a Flywheel Rim CO7
Unit No 8 Unit Title Selection of flat belt, V belt and rope drives Planne
d Hrs.
04
Unit Outcomes
At the end of this unit the students should be able to:
UO1 to select flat belt from as per the standard manufacturer‟s catalogue CO8
UO1 to select V belt and rope drives from as per the standard manufacturer‟s
catalogue
CO8
Lesson schedule
Class
No.
Details to be covered
1 Selection of flat belt as per the standard manufacturer‟s catalogue
2 V belt as per the standard manufacturer‟s catalogue
3 Rope drives as per the standard manufacturer‟s catalogue
4 Introduction to timing belts
Review Questions
Q1 Explain step by step procedure to select flat belt from as per the standard
manufacturer‟s catalogue
CO8
Q2 Explain step by step procedure to select V belt and rope drives from as per
the standard manufacturer‟s catalogue
CO8
Model Question Paper
Course Title : Machine Design-I
Duration
3 hrs
Max.
Marks
100
Instructions:
Solve any three questions from each section.
Assume any data if necessary and state it clearly
Section-I
Marks
1 A Define factor of safety. What is its significance in the machine design. 06
B Suggest suitable material for following and give reasons for your selection.1. Flange
for coupling 2. Cylinder block of ICE 3. Pistons 4 Connecting rod
06
C Explain step by step general design procedure 06
2 A Explain design procedure for turn buckle 06
B Design a Knuckle Joint to transmit 150 KN load. The design stresses
may be taken as 75 MPa in tension 60 MPa in shear & 150 MPa in
compression.
10
3 A Explain eccentric load acting perpendicular to the axis of bolts
06
B A 50mm diameter solid shaft is welded to a flat plate as shown in fig. if
the size of the weld is 15mm, find the maximum normal and shear stress
in the weld.
6
4 10
a Explain the procedure to design muff coupling with neat sketch
b Design a rigid type flange coupling to connect two shafts. The input shaft
transmits 37.5 kW power at 180 rpm to the output shaft through the
coupling. The shaft material is 40C8 having Syt=380N/mm2. The keys
and bolts are made of 30C8 having Syt= 400N/mm2. It is assumed that
compressive strength is 150% of tensile strength. The factor of safety for
keys & bolts is 2.5. The flanges are made of gray C.I. having
Sut=200N/mm2 with factor of safety as 6.
5 a Derive expression for torque required to raise load by power screws 6
b A triple start thresded screw is used to raise a load of 50 KN. The screw
has a nominal dia. of 50mm & pitch of 8mm, height of nut is 40mm and
coeff of friction between nut and screw is 0.12. there is no collar friction.
Find the max shear stress induced in the screw & nut threads. Also find
the bearing pressure between screw & nut.
10
6 a Explain various en styles of compression helical springs with sketches 6
b Design a compression helical spring to carry a load of 500 N with a
deflection of 25 mm. The spring index may be taken as 8. Assume the
following values for the spring material: Permissible shear stress = 350
MPa, Modulus of rigidity = 84 kN/mm2
Wahl‟s factor = K = 4C-1/4C-4 +0.615/C where C = spring index.
10
7 a Explain coefficient of fluctuation of energy 8
b The torque developed by an engine is: T= 14250+2200sin2θ-1800cos2θ.
The resisting torque of the machine is constant. The coefficient of speed
fluctuation is 0.01. Engine speed 150 rpm. A solid circular steel disk, 50
mm thick is used as flywheel. The mass density of steel is 7800 kg/m3.
Calculate radius of flywheel disk.
10
8 a Explain step by step procedure to select flat belt from as per the standard
manufacturer‟s catalogue
6
b It is equired to select V belt drive to connect 20 kw, 1440 rpm motor to a
compressor running at 480 rpm for 15 hrs per day. Space available for
center dist is apprx. 1.2m. determine the specifications of belt.
10
List of experiments/assignments to meet the requirements of the syllabus
1 General design procedure and Selection of materials for various
engineering applications showing their IS codes, composition and
properties
CO1
2 Problems on knuckle joint and levers CO2
3 One problem each on bolted and welded joints subjected to eccentric
loading
CO3
4 Problems on springs CO5
5 Problema on flywheel and rims CO7
6 Selection of belts CO8
7
Design , Drawing of the following. (Any Two)
1. Knuckle joint or turn buckle.
2. Rigid or flexible flange coupling.
3. Application of power screw.
CO2, CO4, CO6
A detail report of design procedure calculation and sketches should be
submitted along with A 2 size drawing Sheet containing details &
assembly.
All the assignments should be solved by using standard design procedure
using design data book such as PSG design Data book
Course Plan
Course MQC Course Code 45564
Examination
Scheme
Theory Term Work POE Total
Max. Marks 100 25 25 150
Contact
Hours/ week
3 2 -- 5
Prepared by Mr. Gavali P.B./Mr. P.M.Patil Date
Prerequisites Basic knowledge of scale, scale factor and different measurement with units.
Also knowledge of limit , fits and tolerances.
Course Outcomes
At the end of the course the students should be able to:
CO1 Describe various instruments and their characteristics.
CO2 Apply knowledge of instruments to use and interpret the data.
CO3 Solve the problems on angle measurements.
CO4 Apply knowledge for solving problems on limits, fits and tolerances.
CO5 Explain the types of control chart to use, depending on given data.
CO6 Solve problems based on quality control and acceptance sampling.
Mapping of COs with POs
POs COs
a b c d E f G h i j k l
CO1 √
CO2 √ √ √
CO3 √
CO4 √
CO5 √
CO6 √
Course Contents
Unit No. Title No. of
Hours
Section I
1. Measurements: International standards of length-Line and end
measurement, Need of measurement, possible errors in measurement,
slip gauges.
3
2. Tolerances and gauging Unilateral and bilateral tolerances, Limits,
Fits, Types of Fits, IS Specifications of limits. Importance of limits,
System in mass production, limits gauges used for plain and taper
works.
4
3 Magnification : Principles and characteristics of measuring
instruments, Mechanical, Optical, electrical, Pneumatic method of
magnification, different types of Verniers, Micrometers, Dial gauges,
Mechanical and pneumatic, Types of comparators. Use of
comparators in inspection.
4
4 Measurement of angles, tapers and radius : Bevel Protractor,
Spirit level, Clinometers, angle Decker, standard balls and rollers for
angle measurement, angle slip gauges, radius measurement of
circular portion, measurement of concave and convex surface radius.
4
5 Interferometry: Principle of Interferometry and application in
checking of flatness, angle and height. 3
6 Straightness and Flatness : Straight edge, use of level beam
comparator, autocollimator testing of flatness of surface
plate(Theoretical treatment only)
2
Section II
7 Surface finish: Types of textures obtained during machine operation,
range of C.L.A. value in different operations in numerical assessment
of surface finish (B.I.S. Specifications of C.L.A. value)-sample
length of different machining operations. Direction of lay, texture,
symbols, instruments used in surface finish assessment
3
8 Measurement of External Threads: Different errors in screw
threads, measurement of forms of thread with profile projector, pitch
measurement, measurement of thread diameter with standard wire,
screw thread micrometer
4
9 Measurement of Spur Gears: Run out checking, Pitch
measurement, profile checking, backlash checking, tooth thickness
measurement, alignment checking, errors in gears, checking of
composite errors.
4
10 Quality control: Concept of Quality and quality control, elements of
quality & its growth, purpose, setup, policy & objective, factors
controlling & quality of design and conformance, balance between
cost and quality and value of quality. Specification of quality,
planning through trial lots and for essential information
3
11 Statistical Quality Control: Importance of statistical method in
quality control, measuring of statistical control variables and
attributes. Measurement/inspection, different types of control charts
(X Bars, R, P. charts) and their constructions and their application.
4
12 Acceptance Sampling: Sampling inspection & percentage 3
inspection, basic concept of sampling inspection, operating
characteristic curves, conflicting interests of consumer and producer,
producer and consumers risks, AWQL, LTPD, ADGL, single and
double sampling plans.
Reference Books:
Sr. No. Title of Book Author Publisher/Edition Topics
1 Metrology M. Mahajan Dhanpat Rai
Publications
1-12
2 Statistical Quality control M. Mahajan Dhanpat Rai
Publications
10-12
3 Engg. Metrology I.C. Gupta Dhanpat Rai
Publications.
1 & 3
4 Engg. Metrology R.K.Jain Khanna
Publisher
1-9
5 Statistical Quality control R.C. Gupta Dhanpat Rai
Publications.
10-12
Scheme of Marks
Section Unit No. Title Marks
I
1 Measurements 12
2 Tolerances and gauging 22
3 Magnification 16
4 Measurement of angles, tapers and radius 14
5 Interferometry 4
6 Straightness and Flatness 18
II
7 Surface finish 8
8 Measurement of External Threads 6
9 Measurement of Spur Gears 8
10 Quality control 12
11 Statistical Quality Control 14
12 Acceptance Sampling 18
Course Unitization
Section
Unit Course
Outcomes
No. of Questions in
No. Title CAT-I CAT-II
I 1 Measurements Q 1,Q 2 &
Q 3 All
questions are
compulsory
2 Tolerances and gauging
3&4 Magnification &
Measurement of angles,
tapers and radius
II 10 Quality control Q 1,Q 2 & Q
3 All
questions are
compulsory
11 Statistical Quality
control
12 Acceptance Sampling
Unit wise Lesson Plan
Section I
Unit
No
1 Unit Title Measurements Planned
Hrs.
03
Unit Outcomes: should understand various instruments and their characteristics.
At the end of this unit the students should be able to:
UO1 CO1
Lesson schedule
Class
No.
Details to be covered
1 International standards of length-Line and end measurement
2 Need of measurement, possible errors in measurement
3 slip gauges
Review Questions
Q1 Define Metrology. What are the linear measuring instruments used
in Metrology.
CO1
Q2 Write a note on “wringing of slip gauges” CO1
Q3 Difference between Line standards and End standard. CO1
Q4 Write a note on “Slip gauge” CO1
Unit
No
2 Unit Title Tolerances and gauging Planned
Hrs.
04
Unit Outcomes : Apply knowledge for solving problems on limits, fits and tolerances
At the end of this unit the students should be able to:
UO2 Tolerances and gauging CO4
Lesson schedule
Class
No.
Details to be covered
1 Unilateral and bilateral tolerances
2 Limits, Fits, Types of
Fits, IS specifications of limits
3 Importance of limits, System in mass production
4 limit gauges used for plain and taper works, Industrial applications
Review Questions
Q1 Define Hole base system and Shaft base System. Which system is
widely used? Why?
CO 4
Q2 Explain the Taylor‟s principal of Gauge Design. CO 4
Q3 Difference between Measuring instruments and limit gauges. CO 4
Q4 What are the different types of limits and fits. Explain? CO 4
Q5 What types of fits will be confirmed for following pairs as whole
basis system? I) H8f8 II)H8p7
CO 4
Unit
No
3 Unit Title Magnification Planned
Hrs.
04
Unit Outcomes: Describe various instruments and their characteristics. And aply knowledge of
instruments to use and interpret the data.
At the end of this unit the students should be able to:
UO3 Magnification CO1
CO2
Lesson schedule
Class
No.
Details to be covered
1 Magnification Principles and characteristics of measuring instruments
2 Mechanical, Optical, electrical, Pneumatic method of magnification
3 different types of Verniers, Micrometers, Dial gauges, Mechanical and
pneumatic
4 Types of comparators. Use of
comparators in inspection
Review Questions
Q1 .Explain in brief different methods of magnification system. CO1 &
CO2
Q2 Explain the mechanical type of comparator. CO1 &
CO2
Q3 Explain in brief optical, mechanical and pneumatic methods of
magnification.
CO1 &
CO2
Q4 What s magnification? Explain Dail gauges as a mechanical
comparator.
CO1 &
CO2
Unit
No
4 Unit Title Measurement of angles, tapers and
radius
Planned
Hrs.
04
Unit Outcomes: Solve the problems on angle measurements.& And aply knowledge of
instruments to use and interpret the data.
At the end of this unit the students should be able to:
UO4 CO3
Lesson schedule
Class
No.
Details to be covered
1 Bevel Protractor, Spirit level, Clinometers
2 angle Decker, standard balls and rollers for angle measurement, angleslip gauges
3 radius measurement of circular portion, measurement of concave and convex
surface radius
4 Advanced electronic systems for angle measurement
Review Questions
Q1 Explain with neat sketch principle ,construction and working of
clinometers.
CO 3
Q2 Describe with neat sketch concave surface radius. CO 3
Q3 Explain with neat sketch convex surface radius. CO 3
Q4 Write a note on Sources of errors in the measurement CO 3
Unit
No
5 Unit Title Interferometry Planned
Hrs.
03
Unit Outcomes: Apply knowledge of instruments to use and interpret the data.
At the end of this unit the students should be able to:
UO3 CO2
Lesson schedule
Class
No.
Details to be covered
1 Principle of Interferometry
2 application in checking of flatness
3
application in checking angle and height
Review Questions
Q1 Explain the use of interferometry for calibration of slip gauge. CO2
Q2 Sate the principle of interferometry ans explains its use in hecking
flatness of a surface.
CO2
Q3 What are the different applications of interferometry technique? CO2
Q4 What are the necessary condition for interference of light waves CO2
Unit
No
6 Unit Title Straightness and Flatness: Planned
Hrs.
02
Unit Outcomes: Apply knowledge of instruments to use and interpret the data.
At the end of this unit the students should be able to:
UO6 CO2
Lesson schedule
Class
No.
Details to be covered
1 Straight edge, use of level beam comparator, autocollimator
2 testing of flatness of surface plate(Theoretical treatment only)
Review Questions
Q1 Define Straightness and Flatness. CO2
Q2 Explain briefly how Straightness and Flatness is measured and
specified.
CO2
Q3 Write a note on Optical flat. CO2
Q4 Explain Level beam comparator.
Section II
Unit
No
7 Unit Title Surface finish Planned
Hrs.
03
Unit Outcomes: should understand various instruments and their characteristics.
. And apply knowledge of instruments to use and interpret the data.
At the end of this unit the students should be able to:
UO7 CO1
Lesson schedule
Class
No.
Details to be covered
1 Types of textures obtained during machine operation, range of C.L.A. value
2 different operations in numerical assessment of surface finish
3 (B.I.S.Specifications of C.L.A. value)-sample length of different machining
operations
Direction of lay, texture, symbols , instruments used in surface finish assessment
Review Questions
Q1 Write a note on CLA method for measurement of surface roughness. CO1
Q2 Sketch different types of texture and direction of lay obtained during
machining operations.
CO1
Q3 Explain working principle of any one instrument used in surface
finish measurement.
CO1
Q4 State the range of CLA values for different machining and finishing
operation.
CO1
Unit
No
8 Unit Title Measurement of External Threads: Planned
Hrs.
04
Unit Outcomes: Describe various instruments and their characteristics. And aply knowledge of
instruments to use and interpret the data
At the end of this unit the students should be able to:
UO8 CO1 &
CO2
Lesson schedule
Class
No.
Details to be covered
1 Different errors in screw threads
2 measurement of forms of thread with profile projector pitch measurement,
3 measurement of
thread diameter with standard wire
4 screw thread micrometer
Review Questions
Q1 What is single wire and double wire method. CO1 &
CO2
Q2 Write a note on Different Errors in screw threads. CO1 &
CO2
Q3 Explain with neat sketch screw thread micrometer. CO1 &
CO2
Unit
No
9 Unit Title Measurement of Spur Gears: Planned
Hrs.
04
Unit Outcomes: And apply knowledge of instruments to use and interpret the data
At the end of this unit the students should be able to:
UO9 CO2
Lesson schedule
Class
No.
Details to be covered
1 Run out checking, alignment checking
2 Profile checking, backlash checking
3 Pitch measurement, tooth thickness measurement
4 checking of composite errors, Advances in alignment in errors in gears
Review Questions
Q1 What is the different terminology of Spur Gear? CO2
Q2 Suggest the method to measure the following parameter of spure gear
i) Tooth profile ii) Run out iii) Backlash iv) pitch
Q3 Write a note on Different Errors in Gear tooth profile.
Q4 Write a note on tooth thickness measurement.
Unit
No
10 Unit Title Quality control Planned
Hrs.
03
Unit Outcomes: Solve problems based on quality control and acceptance sampling.
At the end of this unit the students should be able to:
U10 CO6
Lesson schedule
Class
No.
Details to be covered
1 Concept of Quality and quality control, elements of quality & its
growth, purpose, setup, policy & objective, factors controlling & quality of
design
2 Conformance, balance between cost and quality and value of quality.
3 Specification of quality ,planning through trial lots and for essential information
Review Questions
Q1 Difference between Inspection and Quality control. CO 6
Q2 Explain how control charts helps in quality control. CO 6
Q3 What is the cost of quality? Explain cost of Failure. CO 6
Q4 Explain cost of Failure. cost of prevention and cost of appraisal CO 6
Q5 What are the factors that control the quality of design? CO 6
Unit
No
11 Unit Title Statistical Quality Control Planned
Hrs.
03
Unit Outcomes: Solve problems based on quality control and acceptance sampling and
Explain the types of control chart to use, depending on given data.
At the end of this unit the students should be able to:
U11 CO5&
CO6
Lesson schedule
Class
No.
Details to be covered
1 Importance of statistical method in quality control, measuring of statistical
control variables and attributes
2 Measurement/inspection, different types of control charts
3
(X Bars, R, P. charts) and their constructions and their application
Review Questions
Q1 Write a short note on Chance causes and assignable causes of
variation of data
CO5
Q2 What are the different control charts are used for SQC? Explain. CO5
Q3
In factory producing spark plug the number of defectives found in
inspection of 20 lots of 100 each is given below:
Construct an appropriate control charts and state whether it is in
statistical control or not.
Lot no. No. Of
defectives
Lot no. No. Of
defectives
1 5 11 4
CO5
2 10 12 7
3 12 13 8
4 8 14 3
5 6 15 3
6 4 16 4
7 6 17 5
8 3 18 8
9 3 19 6
10 5 20 10
Unit
No
12 Unit Title Acceptance Sampling Planned
Hrs.
03
Unit Outcomes: Explain the types of control chart to use, depending on given data.
At the end of this unit the students should be able to:
U12 CO6
Lesson schedule
Class
No.
Details to be covered
1 Sampling inspection & percentage inspection, basic concept of sampling
inspection
2 producer and consumers risks, AWQL, LTPD, ADGL, Single and double
sampling plans
3 operating characteristic curves, conflicting interests of consumer and producer,
producer and consumers risks,
Review Questions
Q1 Write a short note on AWQL and LTPD CO6
Q2 Difference between single sampling plan and double sampling
plan.
CO6
Q3 Difference between 100% inspection and acceptance sampling. CO6
Q4 Explain operating characteristic curves. CO6
Model Question Paper
Course Title : METROLOGY AND QUALITY CONTROL Max.
Marks
=100 Duration Day and Date :
Time :
Instructions:
i) Answer any three questions from each section.
ii) Figures to right indicate full marks.
iii) Assume if necessary suitable data and state them clearly.
iv) Draw neat labeled sketch wherever necessary.
v) Use of non-programmable calculators is permissible.
Section-I
Marks
1 a Explain the need of measurement, possible errors in measurement and
precautions to be taken to eliminate errors. 8
b Explain the terms "wear allowance", "Gauge makers tolerance, and,
limit gauge".
8
2 a State the principle of interferometry and explain how it is used in
checking flatness, angle.
8
b Explain the use of interferometry for calibration of slip gauges. 8
3 a State system of tolerancing used in the following pairs. Also, state
what type of fit will result in each case and its application.
1) H7g6 2) H11C11 3) H6K5 4) H7 r8.
8
b What are the various angle measuring methods? Explain any one with
the help of neat sketch. 8
4
Write short notes on (any three)
18
i Sine bar
ii Autocollimator
iii Sources of errors in the measurement
iv Abbe's principle of alignment
v Dial gauges.
Section-II
5 a Sketch different types of textures and direction of lay obtained during
machining operations
8
b What is sampling plan? How it is defined? What is meant by the
operating characteristics of sampling plan?
8
6 a Explain the concept of balance between cost and quality and value of
quality
8
b Discuss three types of pitch errors which may occur on a threaded
component. State possible causes of occurrence of them
8
7
a Twenty five samples of size 50 are considered for analysis of a
process. The number of non conformities for each sample is as shown
in the table. Draw the appropriate control chart and comment on the
process
8
Sample No. No. of non
Conformities
Sample No. No. of non
Conformities
1 4 14 2
2 2 15 3
3 5 16 2
4 3 17 4
5 2 18 6
6 1 19 4
7 3 20 3
8 2 21 2
9 5 22 5
10 4 23 4
11 3 24 3
12 5 25 4
13 5
b Discuss chance causes and assignable causes of variation of data. 8
8 Write short notes on (any three) 18
i Screw thread micrometer
ii Single and double sampling plan
iii Chance causes and assignable causes of variation of data
iv Measuring of composite errors in gear
v Conflicting interests of consumer and producer.
List of experiments to meet the requirements of the syllabus
Experiment No. 1
Experiments
Title
Study and use of linear measuring Instruments CO1
Batch I Q. List out all the types of linear measuring Instruments and explain
with neat sketch the following instruments.(with working principles
,construction ,application and methods of use) 1. Vernier caliper 2. External micrometer 3. Vernier depth gauge 4. Vernier height gauge
Batch II
Batch III
Batch IV
Experiment No. 2
Experiments
Title
Study and Use of comparators CO2
Q.1 What are comparators? List out all the types of compactors and
explain with neat sketch the following instruments.(with working
principles ,construction ,application and methods of use) 1. Mechanical comparator 2. Electrical comparator 3. Pneumatic comparator 4. Optical comparator
Q.2 What are the essential characteristics of comparator
Batch I
Batch II
Batch III
Batch IV Q.3 What are the requirement of good comparators
Experiment No. 3
Experiments
Title
Study & Use of Angle Measuring instruments
CO
Batch I Q1.List out the various instruments used for angle measurement.
explain with neat sketch the following instruments.(with working
principles ,construction ,application and methods of use) 1. Bevel protractor 2. Clinometers 3. Angle Decker 4. Auto collimator
Batch II
Batch III
Batch IV
Experiment No. 4
Experiments
Title
Study & Use Screw Thread measurement
CO
Batch I Q.1 With neat sketch explains the basic terminology of external and
internal threads.
Q.2 How the effective diameter of screw threads is measured by using
thread micrometer and using wire or rod method. Batch II
Batch III
Batch IV
Experiment No. 5
Experiments
Title
Study & Use Gear measurement
Batch I Q.1 Explain the different terminology of Spur Gear?
Q.2 Explain the different types of errors in tooth profile.
Q.3 Explain with neat sketch working construction of gear tooth vernier.
Q.3 Suggest the method to measure the following parameter of spure
gear
i)Tooth profile ii) Run out iii) Backlash iv) pitch
Batch II
Batch III
Batch IV
Experiment No. 6
Experiments
Title
Study & Use of Control charts
Batch I
Q.1 Introduction and basic principles of control charts Explain the
Batch II different control charts are used for SQC?
Batch III
Batch IV
Experiments
Title
Experiment No. 7
Study of Operating characteristics curves
Batch I
Q.1 Explain the characterized terms related with operating
characteristics curves with neat sketch.
Q.2 Explain the single sampling plan and double sampling plan.
Batch II
Batch III
Batch IV
List of additional experiments/Activities – Industrial Visit
Course Plan
Course Manufacturing Engineering Course Code ME 305
Examination
Scheme
Theory Term Work POE Total
Max. Marks 100 25 25 150
Contact
Hours/ week
3 2 -- 5
Prepared by Asst. Prof. Dhulugade Yogesh N. Date 6/5/2014
Prerequisites Basic knowledge of machines, tools.
Course Outcomes
At the end of the course the students should be able to:
CO1 Describe effect of cutting parameters on tool properties.
CO2 Study the factors affecting on machinability and tool life.
CO3 Study tool geometry of single and multipoint cutting tools.
CO4 Solve problems based on metal cutting.
CO5 Prepare process sheet, develop cam profile, demonstrate and draw layout and
find production rate for single spindle automat.
CO6 Select material, type of jig fixture for a given component.
CO7 Demonstrate practically and draw assembly of jigs and fixtures for a given
Component.
CO8 Describe various press tools and their operations.
CO9 Solve problems based on economic aspects of tooling.
CO10 Explain terms related to economic aspects of tooling.
Mapping of COs with POs
POs COs
a b c d E f G h i j k l
CO1 √
CO2 √
CO3 √
CO4 √ √
CO5 √ √
CO6 √ √
CO7 √
CO8 √ √
CO9 √ √
CO10 √ √
Course Contents
Unit No. Title No. of
Hours
Section I
1.
2.
3.
Theory Of Metal Cutting- Wedge action, Concept of speed, Feed
and depth of cut, orthogonal and oblique cutting. Mechanics of
metal cutting-Chip formation, Types of chips, cutting ratio, shear
plane and shear angle, velocity relationships, force measurement
by tool dynamometers, cutting tool materials and their properties,
Advanced cutting tools.
Machinability of Metals- Factors affecting, improvement and
machinability index. Tool life - Types of wear, relationship with
cutting parameters, Taylor‟s equation, improvement measures.
Surface finish- Factors affecting, effect of cutting parameters,
improvements. Heat generation in machining, its effect on cutting
force, tool life and surface finish, types and selection criteria of
cutting fluids.
Tool geometry-Parts, angles and types of single point cutting tools,
tool geometry of single point cutting tool, tool geometry of
multipoint cutting tools.-drills, milling cutters, reamers.
Form tools and Automat –Types (Flat, circular, Dovetail)
Correction of form tools with and without rake angles, tool
layout of single spindle, automat, process sheet, cam profile,
tool layout, calculation of production rate.
(12)
(02)
(06)
Section II
4.
5.
6.
Jigs and Fixtures- Applications, basic elements, principles and
types of locating, clamping and indexing elements, auxiliary
elements like tenon, setting lock etc. Type of Jigs and Fixtures-
Design consideration of Jigs and fixtures with respect to different
operations.
Press tools – Dies, punches, types of presses, clearances, types of
dies, strip layout, calculation of press capacity, center of pressure,
Design consideration for die elements.
Economic aspect of tooling-Elements of costs, method of costing
and cost estimation, depreciation, economic of tooling –Tool
selection and tool replacement with respect
to small tools.
(10)
(06)
(04)
Reference Books:
Sr. No. Title of Book Author Publisher Edition
1. Text Book of
Production Engg.
P.C. Sharma S. Chand
Publication
8th Edition
2. Production
Technology
S.Karunakaran Tata McGraw-Hill
Publishing Ltd
1st
Edition
1980
3. Tool Design- – Donaldson THM Publication 1st Edition
1976
4. Machine tool Engg.- - G.R. Nagapal Khanna Publication 6th Edition
5. Thoery of Metal
Cutting-
Sen Bhattacharya New central book
agency pvt. Ltd.
1st Edition
1984
6. Production Engg.
Design (Tool Design)-
S. Chandar & K.
Surendra
Satya Prakashan-
Delhi
2nd
Edition
1994
7. Metal cutting and
Machine Tools
Thirupati Reddy Scitech Publication -
8. Production
Technology
Thirupati Reddy Scitech Publication -
Scheme of Marks
Section Unit No. Title Marks
1
1 Theory Of Metal Cutting 24
2 Tool geometry 8
3 Form tools and Automat 24
2
4 Jigs and Fixtures 24
5 Press tools 24
6 Economic aspect of tooling 8
Course Unitization
Section
Unit Course
Outcomes
No. of Questions in
No. Title CAT-I CAT-II
I 1,2 Theory Of Metal
Cutting,
Tool geometry
CO1,CO2 Attempt any
two questions
out of three.
II 4,5 Jigs and Fixtures
Press tools
CO6,CO7,
CO8
Attempt any
two questions
out of three.
Unit wise Lesson Plan
Section I
Unit No 1 Unit Title Theory Of Metal Cutting Planned Hrs. 12
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Describe effect of cutting parameters on tool properties. CO1
UO1 Study the factors affecting on machinability and tool life. CO2
Lesson schedule
Class
No.
Details to be covered
1 Wedge action, Concept of speed,
2 Feed and depth of cut, orthogonal and oblique cutting.
3 Mechanics of metal cutting-Chip formation, Types of chips
4 cutting ratio, shear plane and shear angle,
5 velocity relationships,
6
tool dynamometers
7 Force measurement by cutting tool materials and their properties, Advanced
cutting tools.
8 Machinability of Metals- Factors affecting, improvement and machinability index.
9 Tool life - Types of wear, relationship with cutting parameters, Taylor‟s equation,
improvement measures.
10 Surface finish- Factors affecting, effect of cutting parameters, improvements.
11 Heat generation in machining, its effect on cutting force,
12 tool life and surface finish, types and selection criteria of cutting fluids
Review Questions
Q1 Explain orthogonal and oblique cutting with neat sketch. CO1
Q2 Explain Chip formation mechanics. CO1
Q3 Explain different types of dynamometers. CO1
Q4 Explain factors affecting on machinability and tool life. CO2
Q5 Explain nachinability. CO2
Q6 Expalin types of wear. CO2
Q7 Expalin heat generation in machining and its effect on cutting
force
CO2
Unit No 2 Unit Title Tool geometry Planned Hrs. 02
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Study tool geometry of single and multipoint cutting tools. CO3
UO1 Solve problems based on metal cutting. CO4
Lesson schedule
Class
No.
Details to be covered
13 Parts, angles and types of single point cutting tools, tool geometry of single point
cutting tool
14 Tool geometry of multipoint cutting tools.-drills, milling cutters, reamers.
Review Questions
Q1 Explain tool geometry of single point cutting tool. CO3
Q2 Explain Tool geometry of multipoint cutting tools.-drills,
milling cutters, reamers
CO3,4
Unit No 3 Unit Title Form tools and Automat Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Prepare process sheet, develop cam profile, demonstrate and draw
layout and find production rate for single spindle automat.
CO5
Lesson schedule
Class
No.
Details to be covered
15 Form tools and Automat –Types (Flat, circular, Dovetail)
16 Correction of form tools with and without rake angles,
17 tool layout of single spindle, automat
18 process sheet
19 process sheet, cam profile, tool layout
20 Calculation of production rate.
Review Questions
Q1 What are different types of form tools? CO5
Q2 The component is shown in figure is to be processed on single
spindle automat. Study the component and prepare: i) Detailed
process sheet.ii) Tool layout. iii) Cam profiles for all radial and
axial operations. iv) Production rate per hour.
CO5
Section II
Unit No 4 Unit Title Jigs and Fixtures Planned Hrs. 10
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Select material, type of jig fixture for a given component. CO6
UO1 Demonstrate practically and draw assembly of jigs and fixtures for
a given Component.
CO7
Lesson schedule
Class Details to be covered
No.
21 Applications ,basic elements, ,
22 principles and types of locating
23 clamping and indexing elements
24 Auxiliary elements like tenon, setting lock
25 Type of Jigs and Fixtures
26 Type of Jigs and Fixtures
27 Type of Jigs and Fixtures
28 Type of Jigs and Fixtures
29 Design consideration of Jigs and fixtures with respect to different operations.
30 Design consideration of Jigs and fixtures with respect to different operations.
Review Questions
Q1 Explain principle of location. CO6
Q2 Explain types of jigs and fixtures. CO6
Q3 Explain types of locating, clamping and indexing elements. CO6
Q4 Design and draw a neat dimensional sketch in three views with
one sectional view of a suitable drilling jig for Ø 12 holes, 4
no.s in a flange shown in Fig. Show clearly the location,
clamping and jig bushes. This is a last operation. All
dimensions are in mm.
CO7
Unit No 5 Unit Title Press tools Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Describe various press tools and their operations. CO8
Lesson schedule
Class
No.
Details to be covered
31 Press Tool-Dies, punches
32 types of presses
33 clearances, types of dies
34 strip layout
35 Calculation of press capacity, center of pressure
36 Design consideration for die elements
Review Questions
Q1 Explain types of presses. CO8
Q2 Differentiate blanking and punching. CO8
Q3 Explain different terms used in press working. CO8
Q4 A hole of 60 mm diameter is to be produced in 2.5 mm thick
steel plate. The ultimate shear strength of the plate material
is 450 N/mm2. If the punching force is to be reduced to the half
of the force using a punch without shear, estimate the amount
of shear on a punch. Take the percentage penetration as 40%.
CO8
Unit No 6 Unit Title Economic aspect of tooling Planned Hrs. 04
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Solve problems based on economic aspects of tooling. CO9
UO1 Explain terms related to economic aspects of tooling. CO10
Lesson schedule
Class
No.
Details to be covered
37 Economic aspect of tooling-Elements of costs
38 Method of costing and cost estimation, depreciation
39 Economics of tooling
40 Tool selection and tool replacement with respect to small tools
Review Questions
Q1 Explain methods of costing and elements of costs. CO10
Q2 Enumerate the methods of distributing depreciation and discuss
any one in detail.
CO10
Q3 Market price of machine is Rs 6000 and discount allowed to
distributors is 20% of the market price for a certain period, it
was found that the selling cost was half the factory cost. The
material cost, labor cost and overhead charges for the company
are in the ratio of 1:4:2. If the material cost is 400, what profit
is made by factory on each machine?
CO9
Course Plan
Course CONTROL ENGINEERING Course Code 48709
Examination
Scheme
Theory Term Work POE Total
Max. Marks 100 25 - 125
Contact
Hours/ week
3 2 - 05
Prepared by Ajay P. Dhawan and P. M. Sagare Date 08/05/2014
Prerequisites Partial Expansion, Laplace Transform
Course Outcomes
At the end of the course the students should be able to:
CO1 Explain difference between open loop & closed loop control system.
CO2 Solve examples on F-V & F-I analogy.
CO3 Apply rules for Reduction of Block Diagram.
CO4 Convert non-linear equation into linear equation
CO5 Solve examples on steady state operations.
CO6 Learn stability ,S-plane & do analysis with Root locus.
CO7 Learn different types of inputs & transient response specifications.
CO8 Provide a generalized technique for investigating the behavior of control
system.
Mapping of COs with POs
POs
COs a b c d e f g h i j k l
CO1 √ √
CO2 √ √ √
CO3 √ √ √
CO4 √ √
CO5 √ √
CO6 √ √
CO7 √ √ √ √
CO8 √ √ √
Course Contents
Unit No. Title No. of
Hours
SECTION I
1. Introduction to Automatic Control:
Generalized Control System Types, Open Loop and Closed Loop,
Linear and Non-Linear, TimeVariant and Time invariant Systems
with
examples. Advantages of Automatic Control Systems
02
2 Mathematical Model of Control System:
Mechanical Translational Systems, Rotational System, Grounded
Chair Representation, Electrical Elements, Analogous Systems,
Force – Voltage Analog, Force – Current Analog, Mathematical
Model of Liquid Level System, Hydraulic/Pneumatic System,
Thermal System, Gear Train
06
3 Block Diagram Algebra and Control Components:
Rules for Reduction of Block Diagram, Control System Components
– Tachometer, D.C. Servomotor , Hydraulic Servomotor, Stepper
Motor, Jet – PipeAmplifier, Pneumatic Amplifier
04
4 Linearization of nonlinear function:
Linearization of nonlinear equation & linearization of operating
curves.
04
5 Steady state operations:
Generalized feedback system, Equation for controller & equation for
system to be controlled.
04
SECTION II
06 Stability and Root Locus Technique:
Routh‟s Stability Criteria, Significance of Root Locus, Construction
of Root Loci, General Procedure, Effect of Poles and Zeros on the
System Stability
06
07 Transient Response :
General Form of Transfer Function, Concept of Poles and
Zeros, Distinct, Repeated and Complex Zeros. Response of systems
(First and Second Order) to Various Inputs (Impulse, Step, Ramp &
Sinusoidal). Damping Ratio and Natural Frequency. Transient
Response Specification
08
08 State Space Analysis:
System Representation, Direct, Parallel, Series and General
Programming, Conversion of State Space Model to Transfer
Function.
06
Reference Books:
Sr.
No.
Title of Book Author Publisher/Edition Topics
1 Control System Engineering R Anandnatarajan,
P. Ramesh Babu
SciTech Publi. All
2 Control Systems A. Anand Kumar, Prentice Hall Publi All
3 Automatic Control Engineering F.H. Raven Tata McGraw Hill Publi. All
Scheme of Marks
Section Unit No. Title Marks
I 1 Introduction to Automatic Control 8
2 Mathematical Model of Control System 12
3 Block Diagram Algebra and Control Components 8
4 Linearization of nonlinear function 12
5 Steady state operations 12
II 6 Stability and Root Locus Technique 16
7 Transient Response 16
8 State Space Analysis 16
Course Unitization
Section
Unit Course Outcomes No. of Questions in
No. Title CAT-I CAT-II
I 1 Introduction to
Automatic Control
Explain difference
between open loop &
closed loop control
system.
Q1
2 Mathematical
Model of Control
System
Solve examples on F-V &
F-I analogy.
Q2 & Q3
II 6 Learn stability ,S-plane &
do analysis with Root
locus
Q1 ,Q2 & Q3
Unit wise Lesson Plan
Section I
Unit No 1 Unit Title Introduction to Automatic Control Planned Hrs. 02
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Learn different components of control system CO1
UO2 Differentiate between open loop & closed loop control system CO1
Lesson schedule
Class No. Details to be covered
1 Classification of Control System
2 Difference between open loop & closed loop control system.
Review Questions
Q.1 Write classification of Control System? CO1
Q.2 Write difference between open loop & closed loop control system CO1
Unit No 2 Unit Title Mathematical Model of Control System Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Draw the block diagram of mass, spring & damper CO2
UO2 Draw the block diagram of Resistance, Capacitor & Inductor CO2
UO3 Learn F-V & F-I analogy CO2
Lesson schedule
Class No. Details to be covered
3 Mathematical model for mass, spring & damper.
4 Mathematical model for resistance,capacitor & Inductor.
5 F-V analogy.
6 F-I analogy.
7 Grounded chair representation.
8 Examples on Grounded chair representation.
Review Questions
Q.1 For the mechanical system shown in fig.
a) Construct Direct analog.
b) Construct Inverse analog.
Write the force equation for both the cases.
CO2 M
K
B
F X
Y
Q.2 For the mechanical system
shown in fig, determine the
equation which relates
x-f, y-f and y-x.
CO2
Unit No 3 Unit Title Block Diagram Algebra and Control
Components
Planned Hrs. 04
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Reduce a complicated block diagram to input & output variables marked outside
the block & the equivalent functional relationship marked inside the block.
CO3
UO2 Learn derivation of hydraulic ,Pneumatic & Dc motor CO3
Lesson schedule
Class No. Details to be covered
9 Rules to reduce block diagram
10 Examples on block diagram
11 Derivation of hydraulic system
12 Derivation of DC motor.
Review Questions
Q.1 Explain hydraulic system CO3
Q.2 Explain DC motor CO3
Unit No 4 Unit Title Linearization of nonlinear function Planned Hrs. 04
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Convert non-linear equation into linear equation CO4
UO2 Learn linearization of operating curves. CO4
Lesson schedule
Class No. Details to be covered
13 Linearization of nonlinear equation theory
14 Examples on linearization of nonlinear equation
15 Examples on linearization of nonlinear equation
16 Examples on operating curves.
Review Questions
Q.1 The equation for length of chord L=2.Rsin (θ /2) where R is the radius.
Determine the equation for the variation l in the length due to a change r in the
radius and change Δ θ of the angle. For Ri=10 and θi=600,what is the approximate
value of L when R=12 and θ =63o
CO4
Unit No 5 Unit Title Steady state operations Planned Hrs. 04
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Learn controller CO5
UO2 Learn system to be controlled CO5
Lesson schedule
Class No. Details to be covered
17 Derivation for generalized feedback system
18 Numerical on Steady state operations
19 Numerical on Steady state operations
20 Numerical on Steady state operations
Review Questions
Q.1 The steady state operating curve for unity feedback
system are shown in figure 3. Construct the block
diagram that describes the steady state operation of
system. Hence find out equation for steady state
operation.
CO5
Q.2 The steady state curves for a system to be
controlled are shown in fig. III.The reference
operating point is Vi= Ci= 100, Ui = 40 and Mi =
60. Determinethe values of B and KG2. Determine
the slope of the controller lines such that when load
changes from 40 to 50 the output will not change
more than 2 units.For KH = 1.6, determine the value
of A such that C = V, when u = 0.
CO5
Unit No 6 Unit Title Stability and Root Locus Technique Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Understand the stability criteria of the system. CO6
UO2 Evaluate stability of the system by various methods especially Routh‟s Criteria. CO6
Lesson schedule
Class No.
21 Routh‟s stability criteria.
22 Numerical on Routh‟s criteria.
23 Significance of Root Locus. Construction of Root Loci.
24 Construction of Root Loci, General Procedure.
25 Effect of poles and zeros on the system stability.
26 Numerical on Root Locus.
Review Questions
Q.1 Apply Routh‟scriterion, determine the number of roots that lie in right half plane of
the following characteristic equation. Comment on the system stability.
s4 + 5s
3 + 7s
2 + 5s + 6 = 0
CO6
Q.2 Sketch the root loci for the system
shown in figure 5a. and show that
the system is stable for all K>0
CO6
Q.3 Sketch the root locus of the unity feedback system whose open loop function is
K (s2 – 2s + 2)
G(S) = ----------------------
(s+2) (s+3) (s+4)
CO6
Q.4 The open loop transfer function of an aero plane with an autopilot is represented
K(s+1)
G(s) . H(s) = ---------------------------- Determine :
s(s – 1) (s2 + 4s + 16) i) Limiting value of K
ii) Cross over frequency
iii) Break away points
iv) Angle of departure
CO6
Unit No 7 Unit Title Transient Response Planned Hrs. 08
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Analyze response of system, first & second order to various inputs. CO7
UO2 Analyze damping ratio, natural frequency of transient system with specifications. CO7
Lesson schedule
Class No. Details to be covered
27 General form of transfer function.
28 Concept of Poles & Zeros. Distinct, Repeated & Complex Zeros.
29 Responses of First order & Second order system.
30 Types of inputs (impulse, step, ramp & sinusoidal) & responses by system with inputs.
31 Damping Ratio & Natural Frequency calculations.
32 Examples on Damping Ratio & Natural Frequency with various inputs.
33 Evaluate Transient Response with Specifications
34 Examples to evaluate transient response of system with various inputs & specifications.
Review Questions
Q.1 For the unity feedback
system shown in figure 5b,
find damping ratio, natural
frequency, damped natural
frequency and percentage
overshoot.
CO7
Q.2 A unity feedback system having forward transfer function
K
G(s) = ------------- is subjected to a unit step input. Determine the values of
s(Ts + 1) K & T if output response curve shows 25.4 % maximum over shoot at 3 second
peak time. Also find rise time and settling time.
CO7
Unit No 8 Unit Title State Space Analysis Planned Hrs. 06
Unit Outcomes
At the end of this unit the students should be able to:
UO1 Analyze system representation through mathematically & using advanced
programming techniques.
CO8
UO2 Convert state space model to transfer function. CO8
Lesson schedule
Class No. Details to be covered
35 Representation of system mathematically & programming variables.
36 Programming techniques with various methods like Direct Programming.
37 Programming techniques with various methods like Parallel Programming.
38 Programming techniques with various methods like Series Programming.
39 Programming techniques with various methods like General Programming.
40 Conversion of state space model to transfer function, examples.
Review Questions
Q.1 Determine the state space representation
for the feedback control system shown in
figure 7b.
CO8
Q.2 The dynamics of helicopter in the hovering condition are described by the
differential equation
1
y (t) = ----------------------. f (t).
(D + 2) (D + 3) Determine computer diagram by i) Direct Programming ii) Parallel Programming
CO8
Q.3 Determine the transfer function G(s) for following state space model.
CO8
Q.4 A transfer function of a system is representation as
C(s) s3 + 8s
2 + 17s + 8
----- = ------------------------- . Determine the computer diagram and
R(s) s3 + 6s
2 + 11s + 6
state space representation by using direct programming.
CO8
Q.5 Determine the state space representation
and computer diagram for the feedback
system shown in figure 7b.
CO8
Model Question Paper
T.E. (Mechanical) – I (Semester – V)
Examination, June 2013
CONTROL ENGINEERING (New)
Sub. Code : 48709
Day and Date :Saturday, 08-06-2013 Total Marks : 100
Time :10.00a.m. to 1.00 p.m.
Instructions : 1) Question Number 1 from Section-I and 5 from Section-II are
compulsory. Attempt any two questions from remaining three from
each section.
2) Figures to right indicate full marks.
3) Make suitable assumptions wherever necessary and mention it clearly.
SECTION - I
Q. 1 a) For thermometer shown in figure 1a, the ambient
temperature is Ta and temperature of fluid is T. The rate
of heat flow from surrounding medium to the fluid is
Q = C1 (Ta – T). The rate of change of temperature of
fluid is DT = C2.Q. Construct the block diagram
representation for this system in which Ta is input and T
is output. Determine the time constant τ.
6
b) Find differential
equation between x
and y for the
mechanical system
shown in figure 1b.
6
c) Explain Force Current analog. 6
Q. 2 a) For sonic flow of air through a restriction the mass flow rate is 8
0.53
M = ______ AP. Where M is mass flow rate, T is inlet temperature, A is area of
√T
Restriction and P is inlet pressure. Determine linear approximation for the
variation m when area of restriction A is held constant.
b) The block diagram and steady state operating curves for a pressure control
system are shown in figure 2b. At the reference operating condition
Vi = Ci = 100, Mi = 50 and Ui = 25. Determine K2 and B. Determine K1 such
that V = Vi (v=0), the change in controlled variable will be 1 unit when load
changes by 5 units.
8
Q. 3 a) Reduce the block diagram shown in figure 3a and obtain transfer function.
8
b) Derive the transfer function for the armature controlled DC Servomotor and
represent it with the block diagram. 8
Q. 4 a) Steady state operating curves for a unity feedback control system s shown in
figure 4a. Construct the block diagram that describes the steady state operation
of this system.
8
b) Explain Linearization of operating curves with the help of example. 8
SECTION - II
Q. 5 a) Sketch the root locus of the unity feedback system whose open loop function is
K (s2 – 2s + 2)
G(S) = ----------------------
(s+2) (s+3) (s+4) 9
b) Find the transfer function for the system which is represented in state space
representation as follows,
ẋ 1 = -2 x1 + x2; ẋ 2 = -3 x2 + x3; ẋ 3 = -3 x1 – 4 x2 – 5 x3 + u(t) and
y(t) = x2 9
Q. 6 a) A unity feedback system having forward transfer function
K
G(s) = ------------- is subjected to a unit step input. Determine the values of
s(Ts + 1) K & T if output response curve shows 25.4 % maximum over shoot at 3 second
peak time. Also find rise time and settling time. 8
b) The open loop transfer function of an aero plane with an autopilot is represented
K(s+1)
G(s) . H(s) = ---------------------------- Determine :
s(s – 1) (s2 + 4s + 16) i) Limiting value of K
ii) Cross over frequency
iii) Break away points
iv) Angle of departure 8
Q. 7 a) Determine value of K &α, so that unity feedback system oscillates at a
frequency of 2 rad/sec. The system has open loop transfer function
K (s+1)
G(s) = ---------------------------.
S3 + α s
2 + 2s + 1
b) Determine the state space representation and computer diagram for the feedback
system shown in figure 7b.
8
Q. 8 a) A transfer function of a system is representation as
C(s) s3 + 8s
2 + 17s + 8
----- = ----------------------------- . Determine the computer diagram and
R(s) s3 + 6s
2 + 11s + 6
state space representation by using direct programming. 8
b) The forward loop of unity feedback control system is given by
K
G(s) = ------------. It is desired to vary K from 8 to 13 and determine the value of
s (s + 6) K above which the system exhibits oscillations behavior. 8
Course :CONTROL ENGINEERING Course Code : 48709
Course Outcomes:
On completion of the course the student will be able to
COs POs PEOs
CO1 Explain difference between open loop & closed loop
control system.
a,l PEO2,
PEO3 CO2 Solve examples on F-V & F-I analogy. a,b,l
CO3 Apply rules for Reduction of Block Diagram. a,b,l
CO4 Convert non-linear equation into linear equation a,b
CO5 Solve examples on steady state operations. a,b
CO6 Learn stability ,S-plane & do analysis with Root locus. a,b
CO7 Learn different types of inputs & transient response
specifications.
a,b,e,f
CO8 Provide a generalized technique for investigating the
behavior of control system.
a,b,e
Assessment Tools used and COs matrix
Assessment Tool Course Outcomes % contribution
CO1 CO2 CO3 CO4 CO5 CO6 CO7 CO8
University Exam. 12 12 12 14 12 14 12 12
Continuous Assessment Tests 10 20 20 -- 10 40 -- --
Quizzes/orals/Course exit survey 12 12 12 14 12 14 12 12
Assignments/Termwork 12 12 12 14 12 14 12 12
Project -- -- -- -- -- -- -- --
Special/COs evaluation/
students feedback -- -- -- -- -- -- -- --
Overall percentage distribution
Assessment University
Examination
CAT Course
exit
survey
Assignments Project
work
Special
tools
Overall
percentage 50% 25% 15% 10% -- -- 100%
Laboratory COURSE OUTCOMES (COs) for Course ‘Control Engineering’ :
COs Description
CO1 Study of various control systems and control for the system.
CO2 Study of control modes like P, PD, PI, PID for Pressure, Temperature, Flow.
CO3 Design of automatic system for Temperature / Speed.
CO4 Evaluation of stability with various techniques like Root Locus, State Space
Analysis
CO5 Use software tool like MATLAB for system design, performance evaluation.
Laboratory Contributions to the attainments of PROGRAM OUTCOMES (POs)
Laboratory COs Description POs
Control Engineering
CO3, CO4 Analysis a, b, c, d, l,
CO1 Presentation d,
CO3 Design j,
CO5 Usage of modern tool e, l,
CO2,CO4, CO5 skills f, k, l,
CO1 ethics g, h, i
--- Team work g
CONTROL ENGINEERING
Assignments / Experiments :
List of experiments/assignments to meet the requirements of the syllabus
Assignment No. 1
Assignment Title Assignment on Root Locus (Procedure & Examples) CO4
Batch I Sketch a root locus for a system with an open loop transfer function
K . (s + 1)
G (s) . H (s) = ---------------------
(s2 + 4 s + 13)
Batch II The characteristic equation for a system is
s.( s3 + 4s
2 + 2s + 3) + K (s + 1) = 0. Determine range of values of K for
which the system is in stable condition.
Batch III Sketch the root loci for the
system shown in figure 5a. and
show that the system is stable
for all K>0
Batch IV Sketch the root locus of the unity feedback system whose open loop
function is
K (s2 – 2s + 2)
G(S) = --------------------------
(s+2) (s+3) (s+4)
Assignment No. 2
Assignment Title Assignment on State Space Analysis (Procedure & Examples) CO4
Batch I Determine the state space
representation for the
feedback control system
shown in figure 7b.
Batch II The dynamics of helicopter in the hovering condition are described by the
differential equation
1
y (t) = ----------------------. f (t).
(D + 2) (D + 3)
Determine computer diagram by i) Direct Programming ii) Parallel
Programming
Batch III Find the transfer function for the system which is represented in state space
representation as follows,
ẋ 1 = -2 x1 + x2; ẋ 2 = -3 x2 + x3; ẋ 3 = -3 x1 – 4 x2 – 5 x3 + u(t) and
y(t) = x2
Batch IV Obtain transfer function of two input signal output system represented by
state space model.
Experiments
Experiment 1 Study of ON-OFF Controller for Temperature CO1
Experiment 2 Study of Control Modes like P, PD, PI, PID CO2
Experiment 3 Design of Automatic System for Temperature / Speed with
a) Plant Layout b) Block Diagram c) Controller
d) Steady State Analysis.
CO3
Experiment 4 Use of software „MATLAB‟ CO5
List of additional assignments /experiments
Assignments
Assignment(s) Assignment on Various Topics
(Theory, Procedure & Examples)
CO1,CO2,
CO3,CO4,
CO5, CO6
List of open ended experiments/assignments
Experiments
Experiment(s) Use of software „MATLAB‟ CO5