Department of Mechanical Engineering · 2019-02-08 · Complex integration will help to simplify problems with high complexity in Engineering CMA201.3-PO 2 L Complex integration will

Department of Mechanical Engineering

DEPARTMNET OF MECHANICAL ENGINEERING

COURSE HANDOUT: S3 Page 2

RSET VISION

RSET MISSION

To evolve into a premier technological and research institution,

moulding eminent professionals with creative minds, innovative

ideas and sound practical skill, and to shape a future where

technology works for the enrichment of mankind.

To impart state-of-the-art knowledge to individuals in various

technological disciplines and to inculcate in them a high degree of

social consciousness and human values, thereby enabling them to

face the challenges of life with courage and conviction.



DEPARTMENT VISION

DEPARTMENTMISSION

To evolve into a centre of excellence by imparting professional

education in mechanical engineering with a unique academic and

research ambience that fosters innovation, creativity and excellence.

To have state-of-the-art infrastructure facilities.

To have highly qualified and experienced faculty from

academics, research organizations and industry.

To develop students as socially committed professionals with

sound engineering knowledge, creative minds, leadership

qualities and practical skills.



PROGRAMME EDUCATIONAL OBJECTIVES

PROGRAMME OUTCOMES

PEO 1: Demonstrate the ability to analyze, formulate and solve/design

engineering/real life problems based on his/her solid foundation in mathematics,

science and engineering.

PEO 2: Showcase the ability to apply their knowledge and skills for a successful

career in diverse domains viz., industry/technical, research and higher

education/academia with creativity, commitment and social consciousness.

PEO 3: Exhibite professionalism, ethical attitude, communication skill, team

work, multidisciplinary approach, professional development through continued

education and an ability to relate engineering issues to broader social context.

1) Engineering Knowledge: Apply the knowledge of Mathematics, Science,

Engineering fundamentals, and Mechanical Engineering to the solution of

complex engineering problems.

2) Problem analysis: Identify, formulate, review research literature, and

analyze complex Engineering problems reaching substantiated conclusions

using first principles of mathematics, natural sciences, and Engineering

sciences.

3) Design/development of solutions: Design solutions for complex Engineering

problems and design system components or processes that meet the specified

needs with appropriate consideration for the public health and safety, and the

cultural, societal, and environmental considerations.



4) Conduct investigations of complex problems: Use research based knowledge

and research methods including design of experiments, analysis and

interpretation of data, and synthesis of the information to provide valid

conclusions.

5) Modern tool usage: Create, select, and apply appropriate techniques, resources,

and modern engineering and IT tools including prediction and modeling to

complex Engineering activities with an understanding of the limitations.

6) The Engineer and society: Apply reasoning informed by the contextual

knowledge to assess societal, health, safety, legal and cultural issues and the

consequent responsibilities relevant to the professional Engineering practice.

7) Environment and sustainability: Understand the impact of the professional

Engineering solutions in societal and environmental contexts, and demonstrate

the knowledge of, and the need for sustainable developments.

8) Ethics: Apply ethical principles and commit to professional ethics and

responsibilities and norms of the Engineering practice.

9) Individual and team work: Function effectively as an individual, and as a

member or leader in diverse teams, and in multidisciplinary settings.

10) Communication: Communicate effectively on complex Engineering

activities with the Engineering Community and with society at large, such as,

being able to comprehend and write effective reports and design documentation,

make effective presentations, and give and receive clear instructions.

11) Project management and finance: Demonstrate knowledge and

understanding of the Engineering and management principles and apply these to

one’s own work, as a member and leader in a team, to manage projects and in

multi-disciplinary environments.

12) Life -long learning: Recognize the need for, and have the preparation and

ability to engage in independent and lifelong learning in the broadest context

of technological change.



PROGRAMME SPECIFIC OUTCOMES

Mechanical Engineering Programme Students will be able to:

1) Apply their knowledge in the domain of engineering mechanics, thermal

and fluid sciences to solve engineering problems utilizing advanced

technology.

2) Successfully apply the principles of design, analysis and implementation

of mechanical systems/processes which have been learned as a part of the

curriculum.

3) Develop and implement new ideas on product design and development

with the help of modern CAD/CAM tools, while ensuring best

manufacturing practices.

DEPARTMENT OF MECHANICAL ENGINEERING


INDEX PAGE NO:

1 SEMESTER PLAN 8

2 ASSIGNMENT SCHEDULE 9

3 SCHEME 10

4 MA201 Linear Algebra & Complex Analysis 11

4.1. COURSE INFORMATION SHEET 11

4.2. COURSE PLAN 15

4.3 SAMPLE QUESTIONS 16

5 ME201 Mechanics of Solids 25


5.2. COURSE PLAN 32


6 ME203 Mechanics of Fluids 43


6.2. COURSE PLAN 50


7 ME205 Thermodynamics 54


7.2. COURSE PLAN 59


8 ME210 Metallurgy & Materials Engineering 64


8.2. COURSE PLAN 71


9 HS210 Life Skills 85


9.2. COURSE PLAN 91


10 ME231 Computer Aided Machine Drawing Lab 93


10.2. COURSE PLAN 98


11 CE230 Material Testing Lab 105


11.2. COURSE PLAN 110

11.3. SAMPLE QUESTIONS 111



SEMESTER PLAN



ASSIGNMENT SCHEDULE

Week 4 MA201 Linear Algebra & Complex Analysis

Week 5 ME201 Mechanics of Solids

Week 5 ME203 Mechanics of Fluids

Week 6 ME205 Thermodynamics

Week 7 ME210 Metallurgy & Materials Engineering

Week 8 HS210 Life Skills

Week 8 MA201 Linear Algebra & Complex Analysis

Week 9 ME201 Mechanics of Solids

Week 9 ME203 Mechanics of Fluids

Week 12 ME205 Thermodynamics

Week 12 ME210 Metallurgy & Materials Engineering

Week 13 HS210 Life Skills



SCHEME

MA201 LINEAR ALGEBRA AND COMPLEX ANALYSIS S3 ME


4. MA201 LINEAR ALGEBRA AND COMPLEX ANALYSIS

4.1 COURSE INFORMATION SHEET

PROGRAMME: ME DEGREE: BTECH

PROGRAMME: MECHANICAL

ENGINEERING

DEGREE: B. TECH

UNIVERSITY: A P J ABDUL KALAM

TECHNOLOGICAL UNIVERSITY

COURSE: LINEAR ALGEBRA &

COMPLEX ANALYSIS

SEMESTER: III CREDITS: 4

COURSE CODE: MA 201

REGULATION: UG

COURSE TYPE: CORE

COURSE AREA/DOMAIN:

ENGINEERING MATHEMATICS

CONTACT HOURS: 3+1 (Tutorial)

hours/Week.

SYLLABUS:

UNIT DETAILS HOURS

I Complex Differentiation

Limit, continuity and derivative of complex functions

Analytic functions, Cauchy –Riemann equation, Laplace equation, Harmonic

functions; Harmonic conjugate

9

II Conformal Mapping Geometry of Analytic functions, conformal mapping, Mapping w=z

2,

conformality of w=ez

The mapping w=z+1/z Properties of w=1/z Circles and straight lines, extended complex plane, fixed points Special linear fractional transformation, cross ratio, cross ratio property-mapping of disks and half planes Conformal mapping by w=sinz, w=cosz

10

III Complex Integration

Definition of Complex Line integrals, first evaluation method, second

evaluation method, Cauchy’s integral theorem, Independence of path,

Cauchy’s integral theorem for multi connected domains, Cauchy’s integral

formula-Derivatives of analytic functions, application of Derivatives of

analytic functions, Taylor and Maclaurin series, Power series as Taylor

series, Laurent’s series

10

IV Residue theorem

Singularities, Zeros, Poles, Essential singularity, Zeros of an analytic

functions, Residue integration method, formulas, several singularities inside

the contour residue theorem, Evaluation of real integral

9

V Linear system of equations

Linear system of equations, Coefficient matrix, Augmented matrix, Gauss

Elimination and back substitution, Elementary row operations, Row

equivalent systems, Gauss elimination –three possible cases, Row echelon

form and information from it, Linear independence –rank of a matrix, vector

Space Dimension-basis, Vector space R3, Solution of linear systems,

9



Fundamental theorem of non-homogeneous linear systems, homogeneous

linear systems

VI Matrix Eigen value Problem

Determination of Eigen values and Eigen vectors, Eigenspace, Symmetric,

skew-symmetric and Orthogonal Matrices-Simple properties, Basis of Eigen

vectors, Similar matrices, Diagonalization of a matrix, Principal axis theorem

Quadratic forms

9

TOTAL HOURS 56

TEXT/REFERENCE BOOKS:

T/R BOOK TITLE/AUTHORS/PUBLICATION

T1 Erin Kreyszig: Advanced Engineering Mathematics, 10th

edition, Wiley

R1 Dennis G Zill&Patric D Shanahan, A first course in complex analysis with applications-

Jones &Bartlet publishers

R2 B.S Grewal-Higher Engineering Mathematics, Khanna Publishers, New Delhi

R3 Lipschutz, Linear Algebra, 3e (Schaums Series), McGraww Hill Education India 2005

R4 Complex variables introduction and applications- Second edition- Mark.J.Owitz-

Cambridge publication

COURSE PRE-REQUISITES:

C.CODE COURSE NAME DESCRIPTION SEM

Higher secondary level

mathematics

To develop basic ideas on matrix

operations, calculus, Complex

numbers etc.

COURSE OBJECTIVES:

1 To equip the students with methods of solving a general system of linear equations

2 To familiarize them with the concept of Eigen value and Diagonalization of a matrix which

have many applications in engineering

3 To understand the basic theory of functions of a complex variable and conformal

transformations

COURSE OUTCOMES:

SNO DESCRIPTION Bloom’s

Taxonomy

Level

CMA201.1 Students will understand about complex numbers and functions

CMA201.2 Students will get an idea of Conformal mapping

CMA201.3 Students will understand the integration of complex functions

CMA201.4 Students will gain knowledge of various singularities and series

expansions

CMA201.5 Students will be able to find the rank of a matrix and solution of

equations using matrix theory

CMA201.6 Students will understand the matrix Eigen value problems



CO-PO AND CO-PSO MAPPING

PO

1

PO

2

PO

3

P

O

4

P

O

5

P

O

6

P

O

7

P

O

8

P

O

9

P

O

10

P

O

11

P

O

12

PS

O

1

PS

O

2

PS

O

3

CMA201.1 3

CMA201.2 3

CMA201.3 3 1 3

CMA201.4 3 3

CMA201.5 3 3

CMA201.6 3 1 3

JUSTIFICATIONS FOR CO-PO MAPPING

MAPPING LOW/MEDIUM

/

HIGH

JUSTIFICATION

CMA201.1-

PO 1 H

Fundamental knowledge in complex analysis will help to

analyze the Engineering problems very easily

CMA201.2-

PO 1 H

Basic knowledge in Conformal mapping will help to model

various problems in engineering fields

CMA201.3-

PO 1 M

Complex integration will help to simplify problems with

high complexity in Engineering

CMA201.3-

PO 2 L

Complex integration will help to design solutions to various

complex engineering problems

CMA201.3-

PO 3 H

CMA201.4-

PO 1 H

Singularities and Series expansions will help to enrich the

analysis of Engineering problem

CMA201.4-

PO 3 H

Singularities and Series expansions will help to design

solutions to various complex engineering problems

CMA201.5-

PO 1 H

Matrix theory will give a thorough knowledge in the

application problem

CMA201.5-

PO 2 H

Will able to analyse various methods of solutions of

equations

CMA201.6-

PO 1 H

Eigen value, Eigen vectors and related theories will help to

design several engineering problems

CMA201.6-

PO 2 L

CMA201.6-

PO 3 H

The solutions for various engineering problems requires

Matrix theory



GAPS IN THE SYLLABUS - TO MEET INDUSTRY/PROFESSIONAL

REQUIREMENTS:

SNO DESCRIPTION RELEVENCE

TO PO\PSO

PROPOSED

ACTIONS

1 Basic concepts on complex analysis Reading,

Assignments

2 Application of complex analysis in solving various

Engineering problems Reading

3 Importance of matrix application in different fields of

our society Reading

PROPOSED ACTIONS: TOPICS BEYOND SYLLABUS/ASSIGNMENT/INDUSTRY

VISIT/GUEST LECTURER/NPTEL ETC

TOPICS BEYOND SYLLABUS/ADVANCED TOPICS/DESIGN:

SINO: TOPIC RELEVENCE

TO PO\PSO

1 Application of analytic functions in Engineering

2 Application of Complex integration in Engineering

3 Advanced matrix operations

4 Some applications of eigen values

WEB SOURCE REFERENCES:

1 http://www.math.com/

DELIVERY/INSTRUCTIONAL METHODOLOGIES:

☑ CHALK & TALK ☑ STUD. ASSIGNMENT ☑ WEB

RESOURCES

☑LCD/SMART

BOARDS

☐ STUD.

SEMINARS

☐ ADD-ON COURSES

ASSESSMENT METHODOLOGIES-DIRECT

☑ ASSIGNMENTS ☐ STUD.

SEMINARS

☑ TESTS/MODEL

EXAMS

☑ UNIV.

EXAMINATION

☐ STUD. LAB

PRACTICES

☐ STUD. VIVA ☐ MINI/MAJOR

PROJECTS

☐

CERTIFICATIONS

☐ ADD-ON

COURSES

☐ OTHERS

ASSESSMENT METHODOLOGIES-INDIRECT

☑ASSESSMENT OF COURSE OUTCOMES ☑ STUDENT FEEDBACK ON



(BY FEEDBACK, ONCE) FACULTY (TWICE)

☐ ASSESSMENT OF MINI/MAJOR

PROJECTS BY EXT. EXPERTS

☐ OTHERS

4.2 COURSE PLAN

DAY MODULE TOPIC PLANNED

1

I

Complex functions, limit, continuity of complex functions

2 Derivative and analytic functions

3 Cauchy Reimann equations

4 Laplace’s equation, harmonic functions

5 Sensitivity analysis

6 Harmonic conjugate

7 Problem Solving

8

II

Mapping w=z^2

9 Geometry of analytic functions

10 Conformality of w=e^z

11 The mapping w=z+1/z

12 Properties of 1/z

13 Circles and straight lines

14 Fixed points, special linear fractional transformations

15 Extended complex plane

16 Cross ratio and property

17 Mapping of disks and half-planes

18 Conformal mapping by w = sin z or w = cos z

19

III

Complex line integrals, first evaluation method

20 Second evaluation method, Cauchy's integral theorem

21 Independence of path

22 Cauchy’s integral theorem for multiply connected domains

23 Cauchy's integral formula

24 Derivatives of analytic functions and applications

25 Taylor's series, Maclaurin's series

26 Power series as Taylor series

27 Laurent's series

28

IV

Singularities, zeroes, poles

29 Essential singularity

30 Zeroes of analytic functions

31 Residue integration method

32 Formulas for residues, several singularities inside the contour



33 Residue theorem

34 Evaluation of real integrals – Type I

35 Evaluation of real integrals – Type II

36

V

Linear system of equations

37 Coefficient matrix, augmented matrix

38 Gauss elimination method

39 Elementary row operations

40 Row equivalent systems

41 Gauss elimination

42 Rank of a matrix in vector space

43 Dimension, basis, vector space

44 Solution of linear systems

45 Homogeneous linear systems

46 Problems

36

VI

Eigen space, symmetric and skew-symmetric and orthogonal matrices

37 Basis of eigen vectors, similar matrices

38 Diagonalization of a matrix

39 Quadratic forms

40 Principal axis theorem

41 Problems

4.3 QUESTION BANK

1. Prove that 23 32 xyxxu is harmonic and find its harmonic conjugate. Also find the

corresponding analytic function.

2. (i) Show that ex( x cos y – y sin y) is harmonic function. Find the analytic function f(z) for

which ex (x cos y – y sin y) is the imaginary part.

(ii) Find f(z) whose imaginary part is v = x2

– y2 + 2xy – 3x -2y

3. (i) If u + v = (x – y) (x2+4xy +y

2) and f(z) = u + iv find f(z) in terms of z

(ii) If u – v = (cos y – siny) find f(z) in terms of z

4. Show that the function defined by

0zwhen

yx

yx3yi

yx

xy3x

z

)z(

0zwhen0

)z(f22

23

22

232

is not differentiable at the point z0= 0 even though the Cauchy-Riemann equations (3-16) are

satisfied at the point (0,0).



5. Show that the function z)z(f

is nowhere differentiable.

6. Prove that the function

00

052

zif

zifiyxyxzf

satisfies C-R equations at 0z , but it is not analytic at 0z .

7. a) If f(z) is analytic and uniformly bounded in every domain then

(a)f(z) is zero b) f(z) is constant

(c)f(z) is discontinuous d) None of these

8. a) Does an analytic function exist for which

? Why or why not?

b) Let and . Find derivative of

2)( zzf by using the definition.

9. Show that the function )3()3()( 3223 yyxixyxzf is differentiable.

10. If 2|z|)z(f show that f(z) is differentiable only at z = 0.

11. Find the image of the circle |z-1| = 1 in the complex plane under the mapping w =

12. Find the bilinear transformation which maps the points z1 = -1 z2 = 0

z3 = 1 into the points w1 = 0 w2 = i w3 = 3i respectively

b). If u = x3 – 3xy

2, show that there exists a function v(x,y) such that

w = u + iv is analytic in a finite region.

c) Show that

0zif0

0zifyx

)iyx(xy

)z(f 22

2

is not differentiable at z = 0.



13. Determine the bilinear transformation which maps z1 = 0 z2 = 1 z3 = ∞ into w1 = i w2 = -

1 w3 = -i respectively

14. Find the bilinear transformation which transforms (0, -i, -1) into the points (i, 1, 0)

15. Find the bilinear transformation which maps the points z1 = 2, z2 = i and z3 = 2 onto w1 = 1,

w2 = i and w3 = 1 respectively.

16. Show that the transformation 24

45

z

zw

maps the unit circle |z|=1 into a circle of radius

unity and centre1/2.

17. Answer in one or two sentences:

(a) The function f(z) = Rez is no where differentiable. Give reason

(b) The transformation zw is not a bilinear transformation. Why?

(c) Prove that any bilinear transformation can be expressed as a product of translation, rotation,

magnification or contraction and inversion.

18. Determine the row-rank of

19. Solve the following linear system.

1. and

2. and

20. Find the condition on a,b,c so that the linear system is consistent.

21. Let be an n x n matrix. If the system has a non trivial solution then show that

also has a non trivial solution.

22. Solve the system of equations given by:



a)

3 2 10

2 3 8

3 2 5 18

x y z

x y z

x y z

b)

3 2 10

2 3 8

3 2 5 19

x y z

x y z

x y z

c)

1 2 3 4 5

1 2 4

3 4 5

3 10

2 12

2 16

x x x x x

x x x

x x x

d)

3 2 0

2 2 5 0

5 3 2 0

x y z

x y z

x y z

23. Row reduce

0431

4202

8532

.

24. . What is the rank of?

321

502

213

A

25. Find conditions on the constant a such that the linear system has zero, one or infinitely

many solutions

3

5 4

4

x y z a

ax y z

x ay z a

26. Classify these systems as either consistent or inconsistent. If the system is consistent, further

categorize it as underdetermined or uniquely determined. Explain why the system fits into that

category. Also, explain what this means graphically for each system.

a) 2x1 + 3x2 = 9 and 3x1 + 4 x2 = 13

b )3x1 + 4x2 = 7 and 9x1 + 12x2 = 21

c) 2x1 + 3x2 = 8 and 3x1 + 4x2 = 11

27. For what values of and -the following systems have no solution, a unique solution and

infinite number of solutions.

a.

b.



c.

d.

e.

ASSIGNMENTS

State True or False and Justify ( Q.1 a) -1 r))

a) . If f(z) is analytic, then f'(z) exists.

b) . Function f(z) may be differentiable at z = z0, but not analytic near z = z0.

c) Function v(x, y) = -3xy2 + x

3 is an harmonic function.

d) . The harmonic conjugate of u(x, y) = -2xy is

e) If f(z0) exists, then function f must be continuous at z = z0.

f) If lim z zo f(z) exists, then function f must be continuous at z = z0.

g) . The function f(z) = sin(1/z) is continuous everywhere.

h). The function f(z) = cos(z3) is continuous everywhere.

i). If function f is continuous at z = z0, then f must be differentiable there.

j) If f(z) = | z |2, then for all z, f '(z) = 2z.

k).If f(z) = (iz + 2)2, then f '(z) = 4i - 2z.

l). If f(z) = cos(z3), then f '(z) = - sin(z

3).

m). If f(z) = u + iv and the Cauchy-Riemann equations hold for u, v, then f '(z) must exist.

n). For f = u + iv, the Cauchy-Riemann equations are ux = vy and vx = uy.

o). If f(z) = (x2 - y

2 + 2) + 2ixy = u + iv, then the Cauchy-Riemann equations hold.

p). If f(z) is differentiable, then f '(z) = vy - iuy.

q) A smooth continuous arc is a contour.

r) If C is a contour, then C must be a smooth continuous arc.

2. Define harmonic function. Verify that 22 yx

xu

is a harmonic. Also find the conjugate

harmonic function of u.



3. a) Show that is a harmonic conjugate of

b) Show that is a harmonic function and find the harmonic

conjugate .

c) Determine where the following functions are harmonic.

and .

d) Find the value of a if u(x, y) = ax2 – y

2 + xy is harmonic.

e) Let a, b and c be real constants. Determine a relation among the coefficients that will

guarantee that the function is harmonic.

4. Let for . Compute the partial derivatives of and

verify that satisfies Laplace's equation.

5. Find an analytic function for the following expressions. a)

. b) .

c) .

d) .

e) .

f) .

6. Show that are harmonic functions but that their

product is not a harmonic function.

7. Let be a harmonic conjugate of . Show that is the harmonic

conjugate of .

8. Let be a harmonic conjugate of . Show

that is a harmonic function.

9. Suppose that is a harmonic conjugate of and that is the

harmonic conjugate of .

10. Consider the function )sin(),( yeyxu x . Is it harmonic ? If so, find its harmonic conjugate.

Do the same for (a) 33 2),( xyxyxyxu (b) )cos(),( xeyxu y



11. Show that the transformation 2zw transforms the families of lines hx and ky into

confocal parabolas, having 0w as the common focus.

12. Find the bilinear transformation which maps 1,0,1 of the z-plane anto 1,,1 i of the w-

plane. Show that under this transformation the upper half of the z-plane maps anto the

interior of the unit circle 1w

.

13. Show that by means of the inversion zw

1

the circle given by 53 z

is mapped into the

circle 16

5

16

3w

.

14. Show that the transformation 2/1zw maps the upper half of the inside of the parabola

xccy 222 4 into the infinite strip bounded by cvu 0,0 where ivuw .

15. Find the image of the hyperbola x2 – y

2 = 10 under the transformation w = z

2

16. Find the fixed points of the transformation z

zw

96

17. Find the invariant point of the transformation izw

2

1

18. Find the bilinear transformation that maps z = (1, i, –1) into w=(2, i, –2).

19. Find the image of the circle |z| = 2 by the transformation w = z + 3 +2i

20. Solve the following linear system given explicitly or by its augmented matrix by Gauss

elimination method:

a)

b)

21. Find the rank and basis for the row space and a basis for the column space.



(a)

(b)

22. Are the following set of vectors linearly independent:

a) ,

b) , ,

23. . Is the given set of vectors a vector space? Give reason. If yes determine the dimension and

find a basis.

a) All vectors in with

b) All vectors in with

24. Find the rank of the matrix

25. Solve the linear system by its augmented matrix

26. Is the given set of vectors a vector space give a reason. If yes determine the dimension and

find the basis.( denote components)

a) All vectors in such that 4 + = k

b) All vectors in such that 3 -2 + = 0, 4 + = 0

c) All real numbers.

27. Solve by Gauss elimination method



a) 2w+3x +y-11z = 1

b) 5w -2x +5y -4z =5

c) w –x+3y -3z =3

d) 3w+ 4x -7y +2z = -7

28. Solve the following

4y+3z=8

2x-z=2

3x+2y=5

29. Which of the following matrices have linearly dependent rows?

A =

100

010

001

B =

987

654

321

C =

2496

9515

832

30. Find the eigen values and eigenvectors of the matrix

222

254

245

A

540

032

210

A

Prepared by Approved by

Ajeesh P P (HOD)

ME 201 MECHANICS OF SOLIDS S3 ME


5. ME201 MECHANICS OF SOLIDS




ENGINEERING

DEGREE: B.TECH

UNIVERSITY: A P J ABDUL KALAM

TECHNOLOGICAL UNIVERSITY

COURSE: MECHANICS OF SOLIDS SEMESTER: III CREDITS: 4

COURSE CODE: ME 201

REGULATION: UG

COURSE TYPE: CORE

COURSE AREA/DOMAIN: CONTINUUM

MECHANICS


hours/Week.

SYLLABUS:

UNIT DETAILS HOURS

I Introduction to analysis of deformable bodies – internal forces – method of

sections – assumptions and limitations. Stress – stresses due to normal, shear

and bearing loads – strength design of simple members. Definition of linear

and shear strains.

Material behavior – uniaxial tension test – stress-strain diagrams concepts of

orthotropy, anisotropy and inelastic behavior – Hooke’s law for linearly

elastic isotropic material under axial and shear deformation.

Deformation in axially loaded bars – thermal effects – statically

indeterminate problems – principle of superposition - elastic strain energy for

uniaxial stress.

7L

+

3T

II Definition of stress and strain at a point (introduction to stress and strain tensors and its components only) – Poisson’s ratio – biaxial and triaxial deformations – Bulk modulus - Relations between elastic constants. Torsion: Shafts - torsion theory of elastic circular bars – assumptions and limitations – polar modulus - torsional rigidity – economic cross-sections – statically indeterminate problems – shaft design for torsional load.

6L

+

2T

III Beams- classification - diagrammatic conventions for supports and loading - axial force, shear force and bending moment in a beam. Shear force and bending moment diagrams by direct approach.

Differential equations between load, shear force and bending moment. Shear

force and bending moment diagrams by summation approach – elastic curve

– point of inflection.

7L

+

3T

IV Stresses in beams: Pure bending – flexure formula for beams assumptions and limitations – section modulus - flexural rigidity - economic sections – beam



of uniform strength. Shearing stress formula for beams – assumptions and limitations – design

for flexure and shear.

6L

+

2T

V Deflection of beams: Moment-curvature relation – assumptions and limitations - double integration method – Macaulays method - superposition techniques – moment area method and conjugate beam ideas for simple cases. Transformation of stress and strains: Plane state of stress - equations of

transformation - principal planes and stresses.

7L

+

3T

VI Mohr’s circles of stress – plane state of strain – analogy between stress and

strain transformation – strain rosettes.

Compound stresses: Combined axial, flexural and shear loads – eccentric

loading under tension/compression - combined bending and twisting loads.

Theory of columns: Buckling theory –Euler’s formula for long columns – assumptions and limitations – effect of end conditions - slenderness ratio – Rankin’s formula for intermediate columns.

7L

+

3T

TOTAL HOURS 56



T1 Rattan, Strength of Materials, 2e McGraw Hill Education India, 2011

T2 S.Jose, Sudhi Mary Kurian, Mechanics of Solids, Pentagon, 2015

R1 S. H. Crandal, N. C. Dhal, T. J. Lardner, An introduction to the Mechanics of Solids,

McGraw Hill, 1999

R2 R. C. Hibbeler, Mechanics of Materials, Pearson Education,2008

R3 I.H. Shames, J. H. Pitarresi, Introduction to Solid Mechanics, Prentice Hall of India, 2006

R4 James M.Gere, Stephen Timoshenko, Mechanics of Materials, CBS Publishers &

Distributors, New Delhi,2012

R5 F. Beer, E. R. Johnston, J. T. DeWolf, Mechanics of Materials, Tata McGraw Hill, 2011

R6 A. Pytel, F. L. Singer, Strength of Materials, Harper & Row Publishers, New York,1998

R7 E. P. Popov, T. A. Balan, Engineering Mechanics of Solids, Pearson Education, 2012

R8 R. K. Bansal, Mechanics of solids, Laxmi Publications, 2004

R9 P. N. Singh, P. K. Jha, Elementary Mechanics of Solids, Wiley Eastern Limited, 2012



BE 101 - 02 Introduction to Mechanical Knowledge about various I



Engineering Sciences. Mechanical components.

BE 100 Engineering Mechanics Forces and its resolution, Moments,

Stresses and strains, Beams and

support reactions, Work, Energy &

Power.

II

COURSE OBJECTIVES:

1 To gain a fundamental understanding of the concepts of stress and strain by analysing

different solids and structures

2 To learn fundamental principles of equilibrium, compatibility, and force-deformation

relationship, and principle of superposition in linear solids and structures

3 To analyze determinate and indeterminate axial members, torsional members, and beams, to

determine axial forces, torque, shear forces, and bending moments.

COURSE OUTCOMES:


Taxonomy

Level

CME201.1 Students will be able to understand basic concepts of stress and

strain in solids and apply this knowledge during the analysis of

thermal stresses and statically indeterminate structures

Understand

(level 2)

Apply

(level 3)

CME201.2 Students will be able to demonstrate the ability to select appropriate

shaft size by applying the principles of torsion

Apply,

(level 3)

CME201.3 Students will be able to depict and analyse the shear force and

bending moment develops in a beam while solving complex

problems.

Analyse

(level 4 )

CME201.4 Student will be able to determine the bending stress and shear stress

in beams and can select the appropriate geometry for the

requirement.

Evaluate

(level 5)

CME201.5 Student will be able to develop the governing differential equation

for the elastic curve, and apply different techniques for finding out

the deflection at required points.

Analyse

(level 4)

CME201.6 Student will be able to calculate the buckling load for columns with

different end conditions.

Analyse

(level 4)




PO

1

PO

2

PO

3

P

O

4

P

O

5

P

O

6

P

O

7

P

O

8

P

O

9

P

O

10

P

O

11

P

O

12

PS

O

1

PS

O

2

PS

O

3

CME201.1 3 2 2 2 2 2

CME201.2 3 2 3 2 2 2

CME201.3 3 3 2 2 2 2

CME201.4 3 2 3 2 2 2

CME201.5 3 3 2 2 2 2

CME201.6 3 3 2 2 2 2

CME201 3 2 . 5 2.3 2 2 2


MAPPING LOW/MEDIUM

/

HIGH

JUSTIFICATION

CME201.1-

PO 1 H

Applying the knowledge of Mathematics and engineering

fundamentals to solve stress and strain problems

CME201.1-

PO 2 M

Formulating various stress-strain relationships and apply

while solving various engineering situations

CME201.1-

PO 3 M

Calculations are done considering the safety of several

structural members.

CME201.2-

PO8 H

Design of different structural members used for different

applications are done with utmost integrity.

CME201.2-

PO12 M

Students will be encouraged to learn continuously by

solving more complex problems which are of social

relevance.

CME202.1-

PO 1 H

Understanding how to formulate various equations

regarding the torsion and apply mathematical skills while

solving problems

CME202.1-

PO 2 M

Analyse the problems of torsion and find out the appropriate

dimensions of the shafts for the requirement.

CME202.1-

PO 3 H

Design of shafts that serves the purpose without failure and

safely.

CME202.2-

PO8 M

Students will show the necessary vigilance considering the

impact of a wrong design on safety of people.



CME202.2-

PO12 M

Encouragement is given in approaching more complex

problems on torsion during their course of study.

CME203.1-

PO 1 H

Understanding of shear force and bending moment in a

member through diagrams and preparation of these

diagrams by applying mathematical skills.

CME203.1-

PO 2 H

Analysing the variation of shear force and bending moment

by various approaches prescribed in solid mechanics

CME203.1-

PO 3 M

Ability to interpret the shear force and bending moment

diagrams and help during the design for a safer one.

CME203.2-

PO8 M

Understanding of shear force and bending moment in a

member helps in the proper design of a beam

CME203.2-

PO12 M

Solving real life problems using the concept of bending

moment and shear force is possible by continuous learning.

CME204.1-

PO 1 H

Ability to determine shear stress and bending stress using

the formulas derived using fundamental mathematic

principles.

CME204.1-

PO 2 M

Detailed analysis of beams of different shapes for finding

out the shear stress and bending stress distribution.

CME204.1-

PO 3 H

Design of beams which withstand to the external loading

can be determined.

CME205.2-

PO8 M

Design of beams for shear and bending is essential and

accurate to avoid any unforeseen failures.

CME204.2-

PO12 M

Continuous learning of this enables the students to master in

the respective area.

CME205.1-

PO 1 H

Ability to formulate the equations of slope and deflection

for different end conditions

CME205.1-

PO 2 H

Will be able to make valid conclusions from the slope and

deflection solutions by interpreting different end conditions

in the various beams

CME205.1-

PO 3 M

Design of beams can be done considering the least slope and

deflection.

CME205.2-

PO8 M

Enables the engineer to do proper calculations for finding

out the slope and deflection.

CME205.2-

PO12 M

Since it is essential during the design and development It is

very much essential to have a updated knowledge in this

area.

CME206.1-

PO 1 H Ability to formulate equations for crippling load of columns



CME206.1-

PO 2 H

Ability to analyse columns which can be used in real

structures.

CME206.1-

PO 3 M Will be able to design columns that are used in real life.

CME206.2-

PO8 M

Ability to design columns which can be used in real

structures and also considering the public safety before the

real construction

CME206.2-

PO12 M

Columns are used in construction of many structures and

detailed understanding on this is essential. Continuous

learning or self learning of this helps in understanding the

situations in detail.

JUSTIFICATIONS FOR CO-PSO MAPPING


REQUIREMENTS:


TO PO\PSO

PROPOSED

ACTIONS

1

Torsion in Springs

PO2, PO3 Class notes +

Additional

class

MAPPING LOW/MEDIUM/

HIGH

JUSTIFICATION

CME201.1-

PSO 2 M

Will get the ability to apply the knowledge of stress and

strain in field of solid mechanics

CME201.2-

PSO 2 M

Design of different structural members under torsion will

be easier.

CME201.3-

PSO 2 M

Knowledge in the construction of shear force and

bending moment diagrams is essential in studying the

beams under loading

CME201.4-

PSO 2 M

Design of structures and beams able to take up the

shearing and bending stress will be easier

CME201.5-

PSO 2 M

Knowledge in slope and deflection of beams is helpful

during the design of beams under loading.

CME201.6-

PSO 2 M

Can be able to design the columns required for different

applications by using the knowledge he/she gained.







TO PO\PSO

1

Fixed and continuous beams

Video Lectures

+ Reference

book


1 https://www.youtube.com/watch?v=PnSoBvwbXN0

2 https://www.youtube.com/watch?v=U7K23vy9NAw

3 https://www.youtube.com/watch?v=-G6e6bU2D-g

4 http://www.nptelvideos.in/2012/12/strength-of-materials.html


☑ CHALK & TALK ☑ STUD.

ASSIGNMENT

☑ WEB

RESOURCES

☑

LCD/SMART

BOARDS

☐ STUD.

SEMINARS

☐ ADD-ON COURSES



SEMINARS

☑ TESTS/MODEL

EXAMS

☑ UNIV.

EXAMINATION

☐ STUD. LAB

PRACTICES


PROJECTS

☐

CERTIFICATIONS

☐ ADD-ON

COURSES

☐ OTHERS


☑ASSESSMENT OF COURSE OUTCOMES

(BY FEEDBACK, ONCE)

☑ STUDENT FEEDBACK ON

FACULTY (TWICE)



☐ OTHERS



4.2 COURSE PLAN


1 1

Introduction on Mechanics of Solids, Importance of the subject,

Examination pattern and internal evaluation. Concept of simple stress and

simple design problems.

2 1 Analysis of deformable bodies, Method of sections, direct-shear and

bearing stresses. simple problems

3 1 Stress-strain diagram of ductile materials, Offset method.

4 1 stress-strain diagram of brittle material, True stress and true strain,

percentage elongation and percentage reduction in area - problems

5 1 Deformation of axially loaded bars of uniform and varying cross sectional

area. Problems

6 1 Principle of superposition - problems

7 1 Problems based on principle of superposition.

8 1 Statically indeterminate systems. problems

9 1 concepts of orthotropy, anisotropy and inelastic behavior, Thermal stress,

simple problems

10 2 Definition of stress and strain at a point - introduction to stress and strain

tensors

11 2 Poisson’s ratio – biaxial and triaxial deformations. Bulk modulus of

elasticity.

12 2 Relations between elastic constants - simple problems.

13 2 Torsion: Shafts - torsion theory of elastic circular bars – assumptions and

limitations.

14 2 polar modulus - torsional rigidity, simple problems

15 2 economic cross-sections – statically indeterminate problems.

16 2 shaft design for torsional load

17 3 Beams- classification - diagrammatic conventions for supports and

loading.

18 3 Axial force, shear force and bending moment in a beam.

19 3 Shear force and bending moment diagrams by direct approach

20 3 Shear force and bending moment diagrams by direct approach

21 3 Differential equations between load, shear force and bending moment.

22 3 Shear force and bending moment diagrams by summation approach.

23 3 Shear force and bending moment diagrams by summation approach.

24 3 Elastic curve – point of inflection.

25 4 Stresses in beams: Pure bending.

26 4 Flexure formula for beams assumptions and limitations

27 4 Section modulus - flexural rigidity - economic sections, problems.



28 4 Beam of uniform strength, problems

29 4 Shearing stress formula for beams – assumptions and limitations.

30 4 Design of beams for flexure and shear

31 4 Design of beams for flexure and shear.

32 5 Deflection of beams - introduction.

33 5 Moment-curvature relation – assumptions and limitations

34 5 Double integration method - problems

35 5 Macaulays method - superposition techniques

36 5 Moment area method and conjugate beam ideas for simple cases.

37 5 Transformation of stress and strains.

38 5 Plane state of stress - equations of transformation

39 5 principal planes and principal stresses

40 6 Mohr’s circles of stress.

41 6 Plane state of strain, analogy between stress and strain transformation –

strain rosettes

42 6 Compound stresses: Combined axial, flexural and shear loads

43 6 eccentric loading under tension/compression

44 6 Combined bending and twisting loads.

45 6 Theory of columns: Buckling theory.

46 6 Euler's formula for long columns, assumptions and limitations.

47 6 EfFect of end conditions, Slenderness ratio

48 6 Rankine's formula for intermediate columns.

4.3 MODULE WISE SAMPLE QUESTIONS

MODULE 1

1. Draw stress-strain diagram for ducti le and brit t le materials and indicate

salient points.

2. Differentiate between i) linear strain and lateral strain ii) bulk modulus

andshear modulus.

3. Explain the concept of stress. Define shear stress.

4. Define stress, strain and elasticity. Derive a relationship between stresses,

strain of an elastic body.

5. Def in e norm al s t r es s and shear s t r es s .

6. Define stress, strain, elastic limit and Poisson's ratio.



7. Differentiate between the following: i) Elastic limit and proportionali ty limit. ii)

Young's modulus and shear modulus.

8. The diameter of a circular rod varies uniformly from (D+a) to (D-a). Show that

the percentage error involved in finding Young's modulus of the rod by

considering the rod as a uniform rod of mean diameter is (10a/D)2.

9. A rod is inserted inside a tube of material but of the same length.

The end of the composite rod is fixed at the ends. Derive the temperature

stresses developed in both rod and tube due to a temperature change of

T°C with usual notations.

10. What is temperature stress? How will you evaluate it in a composite

bar?

MODULE 1I

1. Derive the relationship between modulus of rigidity and modulus of

elasticity.

2. Explain (i) Hooke's law (ii) Poisson's ratio

3. For a given material, the Bulk modulus and Young's modulus are same and

equal to 150 GPa. Find its shear modulus.

4. Define Elastic constants. Give the relation between them.

5. Derive the relationship between Modulus of elasticity (E) and Bulk modulus (K).

6. Find the Poisson's ratio and bulk modulus of a material whose modulus of

elasticity 200GPa and modulus of rigidity is 80GPa. A 2 m long rod of 40 mm

diameter, made with the same material is stretched by 2.5 mm under some axial

load. Find the lateral contraction.

7. A 500mm long bar having 20mm.x40mm. cross- section is subjected to (a)

40kN tensile force on 20mm x 40mm face (b) 80kN compressive force on

20mm x500mm face.(c) 1201(N tensile force on 40mm x500mm face.Find

change in volume if E= 2 x105N/ mm

2 and Poisson's ratio 0.3.



8. A steel bar 400 mm x 120mm x 60mm in subjected to loads as shown in

figure. Find the changes in the dimensions of the bar and also its volume

change. E = 2x105 N/mm

2, Poisson's ratio 1 /m= 0.25.

MODULE 1II

1. Derive the relationship between the bending moment, shear force and

load intensity at a section of a beam.

2. A beam of length L carries a uniformly distributed load and on two

supports. How far from ends must the support be placed, if the greatest B.M.

is to be as small as possible?

3. A horizontal cantilever 4m long carries a point load of l kN at free end

and a U.D.L of 0.5kN/m over a length of 2m from the free end. Draw the S.F

and B.M. Diagrams.

4. Draw the shear force and bending moment diagram for a cantilever

beam with a u.d. load of intensity w acting over the half span from the free

end.

5. An overhanging beam ABC length 7cm supported on AB length 5m.

The overhanging portion BC of length 2m.A.U.D.L. of 2kN/m is acting over a

length of 3m from the left support, Two point loads of 4kN and 6kN acting

at a distance of 4m from left support and at the free end C. Draw S.F. and

B.M. diagrams. Also find the location of point of contra flexure.

6. For the beam shown in figure, calculate the value of the intensity

of uniformity distributed load w so that the bending moment at C is 50 kNm.



Draw the shear force and bending moment diagrams for this beam with the

calculated value of w. Locate the point of contra flexure if any.

7. Draw the shear force and bending moment diagrams for a cantilever bem

of span 5 m subjected to a uniformly distributed load of 5kN/ m over a length

of 2 meter at a distance of 1 meter from the fixed end.

8. A beam of ABCDE is simply supported at A and D. It carries the following

loading : a distributed load of 30 kN/ m between A and B : a concentrated load of

20 KN at C : a concentrated load of 10 kN at E. Span AB = 1.5 m,

BC=CD=DE= lm. Draw the shear force and bending moment diagrams. Find also

the magnitude and position of the maximum bending moment. .

9. A beam ABCD, 12m long, is freely supported at A and C, 10m apart,

with an overhang CD of 2m. It carries a uniformly dist ributer load of 25

kN/m over the length and a couple of 100 kN m at B, 3m from A. State the

position and

amount of maximum B.M in BC and sketch the S.F.D and B.M.D.

10. A beam ABCDE, with A on the left is 5.6m long and is simply

supported at B and E. The length of various portions are AB= 1.5m, BC=

1.5m, CD-- 1m, DE=2m. There is a uniformly distributed load of 15kN/m

between B and a point 2m to the right of 3 and concentrated loads of 30kN

act at A and D. Draw the shear force and bending moment diagram showing

their maximum values.

11. A beam ABCDE, with A on the left, is 7m long and is simply supported

at A and D. The lengths of various portions are AB=2m, BC= 2.5m, CD= 1.5m,

DE= lm. There is a uniformly distributed load of 15kN/m, between B and a

point 3.5m, to the right of B and concentrated loads of 30kN act at BC and

E. Draw the shear force and bending moment diagram showing their

maximum values.

MODULE 1V

1. Explain the assumptions made in the simple theory of bending?



2. What do you mean by 'beams of uniform strength'?

3. What is pure bending? Sketch a loading which causes pure bending in a

simply supported beam.

4. What is the maximum bending stress produced in a simply supported

beam of span 5m, with central concentrated load 10kN? Take section

modulus 15x105mm

3

5. Derive the relationship M// =f/y.

6. A steel flat 150mm wide and 10mm thick is required to be bent into a

circular arc of radius 10m. Find the moment required. Take E= 200GPa.

7. Briefly explain bending stress distribution.

8. A 150 mm x 200 mm beam spanning 6 m is loaded in the middle of

the span with an inclined force of 5 kN along the diagonal of the of cross

— section. Determine the largest bending stress and locate the neutral

axis.

9. Determine the cross-section of a rectangular beam of uniform

strength for a simply supported beam of 5 m span subjected to a central

concentrated load of 10 kN. (a) by keeping depth of 300 mm throughout

and (b) by keeping width of 200 mm throughout. Take permissible stress as

8 N/mm2.

10. A uniform T- section beam is 100 m wide and 150 mm deep with

a flange thickness of 12 mm. If the limiting bending stresses for the

material of the beam are 80 MN/ m2 compression and 160 MN/m

2 in

tension, find the maximum uniformly distr ibuted load that the beam can

carry over a simply supported span of 5 m.

11. An I section girder, 200m. wide by 300 mm. deep, with flange and

web of thickness 20 mm is used as a simply supported beam over a span of

7 m. The girder carries a distributed load of 5 kN/m. and a concentrated

load of 20 kNat mid span. Determine the maximum bending stress set up.



12. A beam has a T-section with flange 120mm x 30mm and web 160mm

x 40mm. If the tensile stress is not to exceed 30MPa and the compressive

stress not more than 60MPa, what is the maximum span that can be used

to carry a uniformly distributed load of 12kN /m for the entire length

inclusive of self weight with simple supports?

13. A cast iron beam has a T-section with top flange 100mm x 12mm and

web 88mm x 12mm. Draw the shear stress distribution across the depth

marking the values at all salient points. Shear force at the cross section =

20kN.

14. An I section is having over all depth as 500mm and overall width as

200mm. The thickness of the flanges is 25 mm whereas the thickness of the

web is 20 mm. If the section carries a shear force of 45kN, calculate the shear

values at salient points and draw the sketch showing variations of shear stress.

MODULE V

1. A 5 m long cantilever beam carries a point load of 3 kN at the free end along with three

more point loads of 2 kN, 2 kN and kN at 1 m, 3 m and 4 m respectively from the fixed

end. A uniformly distributed load of 2 kN/m also acts on the beam starting from 2 m and

ending at 4 m from the fixed end. Draw the shear force and bending moment diagrams

indicating salient values.

2. A 12 m long beam simply supported at the ends carries a point load of 40 kN at 3 m from

the left end and a uniformly distributed load of 10 kN/m on the right half of the span.

Draw the shear force and bending moment diagrams indicating principal values.

3. A 6 m long simply supported beam carries a point load of 25 kN at the right end and a

uniformly distributed load of 15 kN/m on the whole span. The two supports are 4 m

apart, the left hand support being at the left end. Draw shear force and bending moment

diagrams.



4. A simply supported beam of 9 m length carries a point load of 10 kN at the right end and

a uniformly distributed load of 30 kN/m for a distance of 3 m starting from left end. The

supports of the beam are 6 m apart, the left end support being at the left end. Draw the

shear force and bending moment diagrams indicating main values.

5. A simply supported beam ABC of 10 m span is supported at A and B, A and B being 8 m

apart. The beam carries a load of 4 kN at a distance of 6 m from A and another of the

same magnitude at the right end. A counter clockwise couple of 8 kNm also acts at a

distance of 3 m from A. Draw the shear force and bending moment diagrams indicating

salient values.

6. A simply supported beam PQ of span 6m carries : (i) a point load of 30kN

at R (which is at a distance of 1.2m from P) and (ii) a point load of 40kN at

S (which is at a distance of 1.5m from Q). Determine the posi tion and

magnitude of maximum deflection by Macaulay's method.

7. A simply supported beam of 20 m span carries two point loads of 4 kN and 10

kN at 8 m and12 m from left end. Determine the deflection under each load and

maximum deflection. Take EI = 200 x 1012 Nmm2

8. A steel girder of uniform section, 12m long, is simply supported at i ts ends.

It carries concentrated loads of 140kN and 70kN at two points 3m and 4.5m from

the two ends respectively. If for the section bcx=16x10-4

m4 and 21OGN/ m2, find (i)

the deflection and slope under the loads and (ii) position and amount of maximum

deflection.

9. A 6m long cantilever is loaded with a UDL of 2kN/m over the 4m

from the fixed end and a point load of lkN at the free end. If the section is

rectangular 80mm (wide) x160mm (deep), and E=10GN/m2, calculate the

slope and deflection (i) at the free end of the cantilever and (ii) at a

distance of 0.6m from the free end.

10. A horizontal beam of uniform section and 9m long is simply supported at its

ends. Two vertical loads of 52kN and 45kN act 2.5 and 5.5m respectively

from the left hand support. Determine (1) the deflection and slope under the

loads and (ii) position and magnitude of maximum deflection.



11. A uniform beam is simply supported over a span of 6m. It carries a trapezoid

ally distributed load with intensity varying from 30kN/m, at the left - hand

support to 90kN/m, at the right -hand support . Find the equat ion of the

deflection curve and hence the deflection at the mid-span point. The second

moment of area of the cross section of the beam is 120x 106mm

2, and Young's

modulus E= 206000N/mm2.

12. A cantilever of length L and having a flexural rigidity EI carries a distributed

load that varies in intensity from w per unit length at the built -in end to

zero at the free end. Find the slope and deflection of the free end.

13. A simple beam AB is subjected to a load in the form of a couple M acting at

end B. Using moment area method, determine (i) the angles of rotation at the ends

A and B and (ii) the maximum deflection in the beam. Take the span of the beam

as L.

14. A uniform circular bar of length and diameter d is extended by an amount δ

under a tensile load F. show that if the bar is used as a beam simply supported at its ends

and carries a central load W, the maximum deflection is given by, y =

15. An 80 mm wide and 180 mm deep cantilever is of 3 m span. It carries a UDL of 6

kN/m intensity on a 2 m length of the span starting from the free end. Determine the

slope and deflection at the free end. E = 205 GPa.

16. A simply supported beam of 8 m length carries two point loads of 64

kN and 48 kN at 1 m and 4 m respectively from the left hand end. Find the deflection

under each load and the maximum deflection. E = 210 GPa and I = 180x106 mm

4

MODULE VI

1. The principal stress at a certain point in a strained material are 120

N/mm2and 50 N/mm

2, both tensile. Find normal and tangential stresses on a

plane inclined at 20° with major principal plane.

2. A rectangular block of material is subjected to a tensile of 150MN/m2 on one

plane and a tensile stress of 80MN/m2 on a plane at right angles, together



with the shear stress of 75MN/m2. Find the principal stresses and position of

principal planes. Find also the maximum shear stress and its plane.

3. At a point in an elastic material under strain, there are normal stresses of

60MN/m2 (tensile) and 35MN/m

2 (compressive) respectively at right angles

to each other with a shearing stress of 25MN/m2. Find the principal stresses

and position of principal planes. Find also the maximum shear stress and its

plane.

4. A material is subjected to two mutually perpendicular direct stresses of

80MN/m2 tensile and 50MN/m

2 compressive, together with a shear stress of

30MN/m2. The shear couple acting on planes carrying the 80MN/m

2 stress is

clockwise in effect. Draw the Mohr's circle for the above state of stresses

(need not be to sale) and get the magnitude and nature of principal stresses

and maximum stresses.

5. Derive the Euler's formula for a long column pinned at both ends.

6. Give the 'equivalent length' for a column with different end conditions.

7. Derive the expression for safe load for a long column under eccentric

loading by Rankine's formula.

8. What is meant by slenderness ratio?

9. State the assumptions made in the theory of columns. Explain the

limitations of Euler's formula.

10. A hollow steel shaft outside diameter 150 mm and inside diameter 100 mm

is to be used as a column. Determine the maximum allowable length of this

column for a maximum allowable load of 800 kN. Take fy = 250 N/mm2.

11. Differentiate between long column and Short column

12. A hollow cylindrical column is 6m long with both ends fixed. Determine

the minimum diameter of the column, if it has to carry a safe load of

300kN with FS of 4. Take the internal diameter as 0.8 t imes the external



diameter and E = 2.1 x 105 N/ mm

2. If the column is hinged at both ends,

calculate the safe load.

13. A hollow cast iron column of outside diameter 250 mm and thickness 15

mm is 3 m long and is hinged at one end fixed at the other end. Find the ratio

of the Euler's and Rankine's load and (b) for what length, the critical load

by Euler's and Rankine's formulae will be equal? Take E = 80 Gpa, fc= 550

MPa and a = 1/600.

14. Find the Euler's critical load for a hollow cylindrical cast iron column of 250mm

external diameter and 30mm thickness . It i s 5cm long and hinged at

both ends. Value of E = 8.0x104N/mm

2. For what length the critical load by

Euler's and Rankine's formula be equal. Take constant a -1/1600 and

fc=600N/mm2.


Mr. Tony Chacko Dr.Thankachan T Pullan

(Faculty) (HOD)

ME 203 MECHANICS OF FLUIDS S3 ME


6. ME203 MECHANICS OF FLUIDS


PROGRAMME: ME (KTU) DEGREE: BTECH

COURSE: MECHANICS OF FLUIDS SEMESTER: 3 CREDITS: 4

COURSE CODE: ME203

REGULATION: 2016

COURSE TYPE: CORE

COURSE AREA/DOMAIN:

FLUID MECHANICS


Hours/Week.

CORRESPONDING LAB COURSE CODE

(IF ANY): ME230

LAB COURSE NAME: Fluid Mechanics and

Machines Laboratory

SYLLABUS:

UNIT DETAILS HOURS

I

Introduction and basic concepts-Fluids and continuum, Physical properties of

fluids, density, specific weight, vapour pressure, Newton’s law of viscosity.

Ideal and real fluids, Newtonian and non-Newtonian fluids. Fluid Statics-

Pressure-density-height relationship, manometers, pressure on plane and

curved surfaces, center of pressure, buoyancy, stability of immersed and

floating bodies, fluid masses subjected to uniform accelerations,

measurement of pressure.

08

II

Kinematics of fluid flow:Eulerian and Lagrangian approaches, classification

of fluid flow, 1-D, 2-D and 3-D flow, steady, unsteady, uniform, non-

uniform, laminar, turbulent, rotational, irrotational flows, stream lines, path

lines, streak lines, stream tubes, velocity and acceleration in fluid, circulation

and vorticity, stream function and potential function, Laplace equation,

equipotential lines flow nets, uses and limitations.

08

III

Dynamics of Fluid flow: Fluid Dynamics: Energies in flowing fluid, head,

pressure, dynamic, static and total head, Control volume analysis of mass,

momentum and energy, Equations of fluid dynamics: Differential equations

of mass, energy and momentum (Euler’s equation), Navier-Stokes equations

(without proof) in rectangular and cylindrical co-ordinates, Bernoulli’s

equation and its applications: Venturi and Orifice meters, Notches and Weirs

(description only for notches and weirs). Hydraulic coefficients, Velocity

measurements: Pitot tube and Pitot-static tube.

10

IV

Pipe Flow: Viscous flow: Reynolds experiment to classify laminar and

turbulent flows, significance of Reynolds number, critical Reynolds number,

shear stress and velocity distribution in a pipe, law of fluid friction, head loss

due to friction, Hagen Poiseuille equation. Turbulent flow: Darcy- Weisbach

equation, Chezy’s equation Moody’s chart, Major and minor energy losses,

hydraulic gradient and total energy line, flow through long pipes, pipes in

12



series, pipes in parallel, equivalent pipe, siphon, transmission of power

through pipes, efficiency of transmission, Water hammer, Cavitation.

V

Concept of Boundary Layer : Growth of boundary layer over a flat plate and

definition of boundary layer thickness, displacement thickness, momentum

thickness and energy thickness, laminar and turbulent boundary layers,

laminar sub layer, velocity profile, Von- Karman momentum integral

equations for the boundary layers, calculation of drag, separation of boundary

and methods of control.

10

VI

Dimensional Analysis and Hydraulic similitude: Dimensional analysis,

Buckingham’s theorem, important dimensional numbers and their

significance, geometric, Kinematic and dynamic similarity, model studies.

Froude, Reynold, Weber, Cauchy and Mach laws- Applications and

limitations of model testing, simple problems only.

08

TOTAL HOURS 56



T1 Balachandran.P, Engineering Fluid Mechanics, PHI,2012

T2 A S Saleem, Fluid Mechanics, Fathima Books, 2016

R1 Yunus A. Cengel and John M. Cimbala, Fluid Mechanics, Tata McGraw Hill, New Delhi

R2 R. K. Bhansal, Fluid Mechanics & Hydraulic Machines, Laxmi Publications, New Delhi

R3 Modi P. N. and S. M. Seth, Hydraulics & Fluid Mechanics, S.B.H Publishers, New Delhi,

2002

R4 Streeter V. L., E. B. Wylie and K. W. Bedford, Fluid Mechanics, Tata McGraw Hill,

Delhi, 2010.

R5 Joseph Katz, Introductory Fluid Mechanics, Cambridge University press,2010

R6 Fox R. W. and A. T. McDonald, Introduction to Fluid dynamics, 5/e, John Wiley and

Sons, 2009.

R7 Shames I. H, Mechanics of Fluids, McGraw Hill, 1992

R8 White F.M, Fluid Mechanics, Tata McGraw Hill, New Delhi.



MA101 CALCULUS To have basic knowledge in

mathematics: Scalar and vector 1,2



fields, mathematical operators,

integral and differential calculus etc

COURSE OBJECTIVES:

1 To study the mechanics of fluids.

2 To establish fundamental knowledge of basic fluid mechanics and address specific topics

relevant to simple applications involving fluids.

3 To familiarize students with the relevance of fluid dynamics to many engineering systems.

COURSE OUTCOMES:


Taxonomy

Level

1 Ability to calculate pressure variations in accelerating fluids using

Euler’s and Bernoulli’s equations.

Apply

(Level 3)

2 Become conversant with the concepts of flow measurements and flow

through pipes and be able to describe them.

Knowledge

(Level 1)

3 Apply the momentum and energy equations to fluid flow problems

based on an analysis of the various system specifications (i.e. viscid,

inviscid, rotational, irrotational, steady, unsteady etc.).

Analyze

(Level 4)

4 Evaluate head loss in pipes and conduits and recommend suitable

engineering criteria for fluid flow, power transmission, etc..

Evaluate

(Level 5)

5 Use dimensional analysis to design physical or numerical experiments

applying dynamic similarity.

Create

(Level 6)


PO

1

PO

2

PO

3

PO

4

PO

5

PO

6

PO

7

PO

8

PO

9

PO

10

PO

11

PO

12 PSO

1

PSO

2

PSO

3

1 1 2 - - - - - - - - - - 1 - -

2 3 3 3 3 - - - - - - - 1 2 2 -

3 2 3 - 3 - - - - - - - - - 2 -

4 1 2 - - - - - - - - - 1 2 3 -

5 1 2 3 - - - - - - - - - 1 2 -

ME203 1.6 2.4 3 3 - 1 1.5 2.25




MAPPING LOW/MEDIUM/

HIGH

JUSTIFICATION

1-PO1 L Students will be able to appreciate and to a considerable extent

solve complex engineering problems related to fluid mechanics,

based on acquired knowledge.

1-PO2 M Problem analysis based on first principles of mathematics and

research based relevant data is essential to analyze the

pressure variations in accelerating fluids.

2-PO1 H Students will be able to solve complex engineering problems

related to pipe flow, based on acquired knowledge.

2-PO2 H Problem analysis based on first principles of mathematics and

research based relevant data is essential to analyze the various

major (frictional-moody’s chart) and minor losses (expansion,

contraction losses-chart) encountered in pipe flow.

2-PO3 H In the design/development of solutions for complex pipeflow

problems and to design fluid transmission systems that ensures

civilian safety on ground, the knowledge of flow characteristics

(pressure, HGL, EGL, cavitation, water hammer effects etc.) is

a definite prerequisite.

2-PO4 H While conducting investigations of complex problems to

validate/conclude on analysis whether a complex pipe system

with given bends and contractions will sustain the fluid

pressure and overcome frictional losses, the student has to use

research based knowledge (Moody’s chart, loss coefficient

charts: exhaustive data is available) and interpret relevant data

at his/her disposal.

2-PO12 L The student is considered to have recognized the need for life-

long learning in fluid mechanics and be prepared and

developed the ability to engage in independent and life-long

learning in the broadest context of technological change in

various applications of fluid mechanics.

3-PO1 M Deeper knowledge gained into the development of momentum

and energy equations will help to solve complex engineering

problems related to flow through bend pipes, fluid machinery

etc.

3-PO4 H To conduct investigations of complex problems on

experimental analysis of lifting surfaces/aerodynamic bodies in

wind tunnels and to generate relevant experimental data, the

fundamental background on momentum and energy equations

is essential.

4-PO1 L By gaining a broad overview but only at the level of

basic/fundamental knowledge in piping engineering, his/her

knowledge will be in recognizing various head losses, its

principles and reading basic information from friction charts.



However this itself is fundamental in the solution to acomplex

problem at an undergraduate engineering level.

4-PO2 M Problem analysis based on first principles of mathematics and

research based relevant data (moodys chart, minor loss charts

etc.) is essential to analyze, evaluate,debateand recommend

appropriate conditions for maximizing efficiency of

transmission through pipes.

4-PO12 L The student is considered to have recognized the need for life-

long learning in the pipe flow/open channel flow systems and

be prepared and developed the inclination to engage in

independent and life-long learning in this field of fluid

dynamics.

5-PO1 L Student will gain a broad overview of basic/fundamental

knowledge in (engineering) dimensional analysis, wind tunnel

application, and knowledge will be limited to recognizing

application of the principle of dimensional similarity in wind

tunnels, However this itself is fundamental in the solution to

acomplex problem at an undergraduate engineering level.

5-PO2 M Problem analysis based on first principles of mathematics

(Rayleigh method, pi theorem etc.) is essential to analyze,

evaluate,debateand recommend appropriate non-dimensional

terms for a fluid flow experiment.

5-PO3 H In the design/development of solutions for complex external

flow problems in wind tunnel/water tunnel etc. and to design

fluid dynamic systems that ensures civilian safety on ground,

the knowledge of devising a test model based on dimensional

analysis before building a prototype is a must.


MAPPING LOW/MEDIUM/

HIGH

JUSTIFICATION

1-PSO1 L Students will acquire basic knowledge on Euler’s and

Bernoulli’s equations and will be able to apply this knowledge

in the domain of thermal and fluid sciences to solve

engineering problems.

2-PSO1 M Application of knowledge gained in the domain of pressure

measuring devices to solve engineering problems pertaining to

analysis of flow characteristics like velocity, discharge rate,

utilizing industry relevant advanced technology (metering

devices).

2-PSO2 M Design, analysis and implementation of mechanical systems

(metering systems, calculation of approach factor, and location

of pressure ports with respect to metering device) will be based

on the successful application of the principles learned as a part




REQUIREMENTS:


TO PO\PSO

PROPOSED

ACTIONS

1

Introduction to numerical programming

techniques absent in curriculum. Students have to

be exposed to simple computational fluid

mechanics in order to appreciate some topics in

the syllabus, like potential flow theory in Module

II: Fluid kinematics.

PO4, PSO1 Programming

based exercises

as assignment



of the curriculum.

3-PSO2 M In the design and analysis of experimental systems for aircrafts

(for design of lifting surfaces, wings, rotor blades) the

processes (experimental methods, wind & water tunnels) will

be based on the successful application of the principles learned

on fluid dynamics (momentum and energy).

4-PSO1 M With the knowledge in the domain of pipe flow engineering

(frictional/transmission losses, Power developed), thermal and

fluid sciences (fluid mechanics), the students will be successful

in solving fundamental engineering problems utilizing

advanced technology in an industry like oil transportation,

drinking water pipelining etc.

4-PSO2 H Principles of design, analysis and implementation of

mechanical systems/ manufacturing processes for pipe lines are

based on the fluid mechanics and pressure, power/performance

conditions which have been learned as a part of the

curriculum.

5-PSO1 L Students gain only a peripheral knowledge in the domain of

dimensional analysis for experiments (aerospace engineering),

wind tunnels (thermal and fluid sciences). Though elaborate for

an undergraduate course, to be successful in solving high level

aircraft/ ship manufacturing engineering problems, further

specific courses is required.

5-PSO2 M Principles of design, analysis and implementation of

experimental mechanical systems based on dimensional

similarity (scaling ratio, relevant non-dimensional numbers,

etc) have been learned as a part of the curriculum..




SINO: TOPIC RELEVENCE TO

PO\PSO

1 CFD analysis to calculate lift and drag of simple geometries

using potential flow, and boundary layer flow theories.

PO4, PSO1

2

Design of a pipeline for transmission of drinking water supply

for a domestic township, considering the various losses and

power requirement.

PO4, PSO1


1 https://www.youtube.com/watch?v=F_7OhKUYV5c

2 http://freevideolectures.com/Course/89/Fluid-Mechanics

3 https://www.youtube.com/watch?v=brN9citH0RA

4 https://www.youtube.com/watch?v=lfXDJKKPGfY

5 https://www.youtube.com/watch?v=fa0zHI6nLUo&list=PLbMVogVj5nJTZJHsH6uLCO

00I-ffGyBEm


☑ CHALK & TALK ☑ STUD. ASSIGNMENT ☑ WEB

RESOURCES

☑LCD/SMART

BOARDS

☐ STUD.

SEMINARS

☐ ADD-ON COURSES



SEMINARS

☑ TESTS/MODEL

EXAMS

☑ UNIV.

EXAMINATION

☐ STUD. LAB

PRACTICES


PROJECTS

☐

CERTIFICATIONS

☐ ADD-ON

COURSES

☐ OTHERS


☑ ASSESSMENT OF COURSE OUTCOMES

(BY FEEDBACK, ONCE)


FACULTY (ONCE)



☐ OTHERS

https://www.youtube.com/watch?v=fa0zHI6nLUo&list=PLbMVogVj5nJTZJHsH6uLCO00I-ffGyBEm

https://www.youtube.com/watch?v=fa0zHI6nLUo&list=PLbMVogVj5nJTZJHsH6uLCO00I-ffGyBEm



6.2 COURSE PLAN


1 I Introduction and basic concepts-Fluids and continuum, Physical properties of

fluids, density, specific weight, vapour pressure, Newton’s law of viscosity.

2 I Ideal and real fluids, Newtonian and non-Newtonian fluids. Fluid Statics-

Pressure-density-height relationship

3 Manometers

4 I Manometers

5 pressure on plane and curved surfaces, center of pressure, buoyancy

6 I stability of immersed and floating bodies

7 I fluid masses subjected to uniform accelerations

8 I measurement of pressure

9 II Kinematics of fluid flow:Eulerian and Lagrangian approaches, classification

of fluid flow, 1-D, 2-D and 3-D flow

10 II steady, unsteady, uniform, non-uniform, laminar, turbulent, rotational,

irrotational flows

11 II stream lines, path lines, streak lines, stream tubes, velocity and acceleration

in fluid

12 II circulation and vorticity

13 II circulation and vorticity

14 II stream function and potential function

15 II Laplace equation

16 II equipotential lines flow nets, uses and limitations,

17 III Dynamics of Fluid flow: Fluid Dynamics: Energies in flowing fluid, head,

pressure, dynamic, static and total head,

18 III Energies in flowing fluid, head, pressure, dynamic, static and total head

19 III Control volume analysis of mass, momentum and energy,

20 III Equations of fluid dynamics: Differential equations of mass, energy and

momentum (Euler’s equation)

21 III Equations of fluid dynamics: Differential equations of mass, energy and

momentum (Euler’s equation)

22 III Navier-Stokes equations (without proof) in rectangular and cylindrical co-

ordinates

23 III Bernoulli’s equation and its applications: Venturi and Orifice meters

24 III Notches and Weirs (description only for notches and weirs).

25 III Hydraulic coefficients

26 III Velocity measurements: Pitot tube and Pitot-static tube.

27 IV Pipe Flow: Viscous flow: Reynolds experiment to classify laminar and

turbulent flows, significance of Reynolds number, critical Reynolds number

28 IV shear stress and velocity distribution in a pipe

29 IV law of fluid friction, head loss due to friction, Hagen Poiseuille equation.



30 IV Turbulent flow: Darcy- Weisbach equation, Chezy’s equation Moody’s chart

31 IV Turbulent flow: Darcy- Weisbach equation, Chezy’s equation Moody’s chart

32 IV Major and minor energy losses, hydraulic gradient and total energy line

33 IV flow through long pipes, pipes in series, pipes in parallel

34 IV equivalent pipe, siphon

35 IV transmission of power through pipes, efficiency of transmission

36 IV Water hammer, Cavitation.

37 V Concept of Boundary Layer : Growth of boundary layer over a flat plate and

definition of boundary layer thickness,

38 V displacement thickness, momentum thickness and energy thickness

39 V displacement thickness, momentum thickness and energy thickness

40 V laminar and turbulent boundary layers

41 V laminar sub layer, velocity profile

42 V Von- Karman momentum integral equations for the boundary layers

43 V Von- Karman momentum integral equations for the boundary layers

44 V calculation of drag

45 V calculation of drag

46 V separation of boundary and methods of control.

47 VI Dimensional Analysis and Hydraulic similitude: Dimensional analysis,

Buckingham’s theorem,

48 VI Buckingham’s theorem,

49 VI important dimensional numbers and their significance

50 VI important dimensional numbers and their significance

51 VI geometric, Kinematic and dynamic similarity, model studies.

52 VI Froude, Reynold, Weber, Cauchy and Mach laws

53 VI Froude, Reynold, Weber, Cauchy and Mach laws

54 VI Applications and limitations of model testing, simple problems only.


MODULE: 1

1. Derive an expression for the terminal velocity V [m/s] for a block of weight W [N]

sliding over a wedged platform at inclination θ [degrees] with horizontal. The platform is

lubricated with oil of viscosity μ [Pa-s].

2. The pressure at the center of a pipe flow (fluid is water) measures 52.1 [kPa] with an

inclined manometer. What would be the level rise of Hg column in the inclined limb, if



the angle of inclination is θ =30o, tube-to-tank area ratio is 0.01 and the initial level of Hg

in the tank is 0.2 [m] below the centerline of the pipe.

3. Fluid pressure at the bottom surface of the following vessels filled with water, with free

surface measuring h [m] above bottom, are the same: (a) cylindrical vessel with diameter

D [m] and (b) a stepped cylindrical vessel with initial depth h/2 [m] having diameter D/2

[m] and the later depth having diameter D [m]. However they weigh differently on a scale

over which the bottom surface is placed. Explain this ‘Hydrostatic paradox’ with

hydrostatic pressure laws and supporting calculations.

MODULE: 2

1. Consider 2D flow

( )

a) Check if the flow is possible

b) Check if flow is rotational

2. Explain flow net and its applications.

3. Consider 2D flow

a) Check if the flow is rotational

b) If rotational, find the circulation about the circle

MODULE: 3

1. Discuss the applications and limitations of Bernoulli’s equation.

2. A 30 cm x 15cm venturimeter is provided in a vertical pipeline carrying oil of specific

gravity 0.9, the flow being upwards. The difference in elevation of throat section and

entrance of the venture is 30 cm. The differential U-tube mercury manometer shows a

deflection of 25 cm. Calculate the discharge of oil.

Take for the meter and

MODULE: 4

1. Find displacement and momentum thickness for a boundary layer flow whose profile is

given by

(

) (

)

2. Arriving at Prandtl boundary layer equations, discuss its merits and demerits

3. For the flow of air at 10m/s, calculate the drag offered by a flat plate 2 m long and unit

width, by applying von-Karman momentum integral calculations and Blasius solution.



.

MODULE: 5

1. Local thickness of boundary layer over a flat plate was measured as 2 mm. If flow over

the entire plate is laminar, how would you arrive at approximate values for displacement

and momentum thicknesses at the same location.

2. Explain with neat sketches explain:

a) boundary layer theory, and

b) compare the velocity profiles for laminar and turbulent boundary layer flows.

3. What are the different methods for boundary layer control in flow over surfaces? Explain

with neat sketches.

MODULE: 6

1. a) State Buckingham’s - π theorem. Explain dimensional homogeneity with the help of an

example.

b) DefineandexplainFroudenumber,Reynold’snumber,Weber’snumberandMach

number

2. The variables controlling the motion of a floating vessel (ship) through water are the drag

force F, the speed V, the length L, dynamic viscosity µ, the density ρ and acceleration due to

gravity g. Derive an expression for drag force F by dimensional analysis. Hence show that

the drag force is a function of Reynold’s number and Froude number.

3. Explain different laws on which models are designed for dynamic similarity.


Dr.Ajith Kumar A Dr.Thankachan T Pullan

(Faculty) (HOD)

ME 205 THERMODYNAMICS S3 ME


7. ME 205 THERMODYNAMICS


PROGRAMME:MECHANICAL

ENGINEERING

DEGREE: BTECH

COURSE:THERMODYNAMICS SEMESTER: 3CREDITS: 4

COURSE CODE:ME 205

REGULATION: 2016

COURSE TYPE: CORE

COURSE AREA/DOMAIN:THERMAL

SCIENCE

CONTACT HOURS:3(LECTURE) + 1(TUTORIAL)

HOUR/WEEK


(IF ANY):NIL

LAB COURSE NAME:NIL

SYLLABUS:

MODULE CONTENTS HOURS

I

Role of Thermodynamics in Engineering and Science -- Applications of

Thermodynamics

Basic Concepts - Macroscopic and Microscopic viewpoints, Concept of

Continuum, Thermodynamic System and Control Volume, Surrounding,

Boundaries, Types of Systems, Universe, Thermodynamic properties,

Process, Cycle, ThermodynamicEquilibrium, Quasi – static Process,State,

Point and Path function. (Review only- self study)Zeroth Law of

Thermodynamics, Measurement of Temperature-Thermometry,

reference Points, Temperature Scales, Ideal gastemperature scale,

Comparison of thermometers-Gas Thermometers,Thermocouple,

Resistance thermometerEnergy - Work - Pdv work and other types of

work transfer, freeexpansion work, heat and heat capacity.

7

II

Joule’s Experiment- First law of Thermodynamics - First law applied to

Non flow Process- Enthalpy- specific heats- PMM1, First law applied to

Flow Process, Mass and Energy balance in simple steady flow process.

Applications of SFEE, Transient flow –Filling and Emptying Process.

(Problems), Limitations of the First Law.

8

III

Second Law of Thermodynamics, Thermal Reservoir, Heat Engine,

Heatpump - Performance factors, Kelvin-Planck and

ClausiusStatements, Equivalence of two statements, Reversibility,

irreversible Process,Causes of Irreversibility, Corollaries of second

law, PMM2, Carnot’stheorem and its corollaries, Absolute

Thermodynamic Temperature scale. Clausius Inequality, Entropy-

Causes of Entropy Change, Entropy changes in variousthermodynamic

processes, principle of increase ofentropy and its applications, Entropy

generation in open and closedsystem, Entropy and Disorder,

Reversible adiabatic process- isentropicprocess.

10



IV

Available Energy, Availability and Irreversibility- Useful work, Dead

state, Availability function, Availability and irreversibility in open and

Closed systems-Gouy-Stodola theorem, Third law of

thermodynamics.Pure Substances, Phase Transformations, Triple

point, properties duringchange of phase, T-v, p-v and p-T diagram of

pure substance, p-v-Tsurface, Saturation pressure and Temperature, T-

h and T-s diagrams, h-sdiagrams or Mollier Charts, Dryness Fraction,

steam tables. Propertycalculations using steam tables.

10

V

The ideal Gas Equation, Characteristic and Universal Gas constants,

Deviations from ideal Gas Model: Equation of state of real substances-

Vander Waals Equation of State, Berthelot, Dieterici, and Redlich-

Kwongequations of state , Virial Expansion, Compressibility factor,

Law ofcorresponding state, Compressibility charts

Mixtures of ideal Gases – Mole Fraction, Mass fraction, Gravimetric

andvolumetric Analysis, Dalton’s Law of partial pressure, Amagat’s

Laws ofadditive volumes, Gibbs-Dalton’s law -Equivalent Gas

constant andMolecular Weight, Properties of gas mixtures: Internal

Energy, Enthalpy, specific heats and Entropy, Introduction to real gas

mixtures- Kay’s rule.

*Introduction to ideal binary solutions, Definition of solution, ideal

binarysolutions and their characteristics, Deviation from ideality,

Raoult’sLaw, Phase diagram, Lever rule(*in this section numerical

problems not )

11

VI

General Thermodynamic Relations – Combined First and Second law

Equations– Helmholtz and Gibb’s functions - Maxwell’s Relations,

TdsEquations. TheClapeyron Equation, Equations for internal energy,

enthalpy and entropy, specific heats, Throttling process, Joule

Thomson Coefficient, inversion curve.

#Introduction to thermodynamics of chemically reacting systems,

Combustion, Thermochemistry –Theoretical and Actual

combustionprocesses- Definition and significance of equivalence

ratio, enthalpy offormation , enthalpy of combustion and heating value

(#in this sectionnumerical problems not included)

10


T/R BOOK TITLE/AUTHOR/PUBLICATION

T1 P.K.Nag;Engineering Thermodynamics, McGraw Hill, 2013

T2 E. Rathakrishnan;Fundamentals of Engineering Thermodynamics, PHI,2005

R1 Y. Cengel, Boles; Thermodynamics: An Engineering Approach, Tata McGraw Hill, 7th edition, 2010

R2 G.VanWylen, R. Sonntag and C. Borgnakke;Fundamentals of Classical Thermodynamics, John Wiley & Sons,2012

R3 J.P. Holman;Thermodynamics, McGraw Hill book company New York, 1988



R4 M.Achuthan, Engineering Thermodynamics, PHI,2004



- SCIENCE&MATHEMATICS BASIC KNOWLEDGE

To have basic knowledge in

mathematics: mathematical

operators, integral and

differential calculus etc

COURSE OBJECTIVES:

1 To understand basic thermodynamic principles and laws

2 To develop the skills to analyze and design thermodynamic systems

COURSE OUTCOMES:

Sl. NO DESCRIPTION

Blooms’

Taxomom

y Level

CME205.1

To understand the basic concepts of thermodynamic such as temperature,

pressure, system, properties, process, state, cycles and equilibrium;

defineenergy transfer through mass, heat and work for closed and control

volume systems.

Knowledge

Level 1

Understand

Level 2

CME205.2 Tounderstand and apply the first Law of Thermodynamics on closed and

control volume systemsand to analysepreliminary problems.

Understand

Apply

Analyse

Level 2,3,4

CME205.3

Tounderstand andapply Second Law of Thermodynamics and entropy

concepts in analysing the thermal efficiency of a system and to

analysepreliminary problems of change in entropy in various thermodynamic

processes.

Understand

Apply

Analyse

Level 2,3,4

CME205.4

To identify the properties of substances on property diagrams and obtain the

data from property tables.

Apply

Level 3

CME205.5

To apply concept of chemical thermodynamics, with emphasis on the first

and second laws, to predict physical changes and reaction outcomes based on

Gibbs energies.

Apply

Level 3

CME205.6

To understand the basic properties of ideal gases and ideal gas mixtures;

alsoto understandthe concept of thermochemistry and various parameters

involved.

Understand

Level 2




PO

1

PO

2

PO

3

PO

4

PO

5

PO

6

PO

7

PO

8

PO

9

PO

10

PO

11

PO

12

PSO

1

PSO

2

PSO

3

CME205.1 1 2 - - - - - - - - - 3 3 - -

CME205.2 3 3 2 - - - - - - - - 2 3 - -

CME205.3 3 2 - - - - - - - - - - 2 - -

CME205.4 3 3 - 2 - - - - - - - - 2 - -

CME205.5 3 - - - - - - - - - - - 3 - -

CME205.6 2 - - - - - - - - - - - 2 - -

1- Low correlation (Low), 2- Medium correlation(Medium) , 3-High correlation(High)


MAPPING LOW/MEDIUM

/HIGH JUSTIFICATION

CME205.1-PO1 L

Students will be able to use the acquired knowledge of fundamental

conceptsto solve complex problems related toOpen, Closed and Isolated

systems to a considerable extent.

CME205.1-PO2 M

Problem analysis based on zeroth law of thermodynamics and research

based relevant data is essential to solve complex problems related to

temperature scales.

CME205.1-PO12 H

Students will be encouraged to learn continuously by solving more complex

problems which are of social relevance.

CME205.2-PO1 H

The acquired knowledge of the first law of thermodynamics for open and

closed systems can be used in the solution of complex problems that

involve Steady State Steady Flow process (SSSF) processes in various

components such as turbines, compressors, nozzles, throttle valves etc.

CME205.2-PO2 H

Problem analysis based on first law for uniform state uniform flow process

(USUF) is essential to solve complex problems that involve USUF

processes such as filling of tanks and evacuation of tanks etc.

CME205.2-PO3 M

Development of solution for complex engineering problems and processes

requires analysis based on laws of thermodynamics as preliminary criteria.

CME205.2-PO12 H

Students will be encouraged to learn continuously by solving more complex

problems which are of social relevance.

CME205.3-PO1 M

Quantify the second law of thermodynamics for a cycle by establishing the

inequality of Clausius; Calculation of entropy changes that take place

during processes for pure substances and ideal gases;

CME205.3-PO2 H

Problem analysis based on second law of thermodynamics is essential to

establish the increase of entropy principle and thereby apply the same to

evaluate the feasibility of a thermodynamic process based on the acquired

knowledge.

C205.4-PO1 H


concepts to identify the properties of a system at given state from the

property table in order to solve complex problems to a considerable extent.

CME205.4-PO2 M

Problem analysis based on laws of thermodynamics involves determining

the property values of the system considered from the property table and is

essential to develop solutions for complex engineering problems and

processes also check its feasibility.



CME205.4-PO4 M

Interpretation of property values and its analysis obtained from the property

table is required to arrive at valid conclusions.

CME205.5-PO1 H


concepts of chemical thermodynamics, with emphasis on the first and

second laws, to predict physical changes and reaction outcomes based on

Gibbs energies to a considerable extent.

CME205.6-PO1 M


concepts of ideal gases and ideal gas mixtures; to characterize the behaviour

of real gases and real gas mixtures using various equations of state.

JUSTIFATIONS FOR CO-PSO MAPPING

GAPS IN THE SYLLABUS - TO MEET INDUSTRY/PROFESSION REQUIREMENTS:

SI

NO DESCRIPTION

PROPOSED

ACTIONS

RELEVANCE

WITH POs

RELEVANCE

WITH PSOs

1 Gibb’s Phase rule

Lecture Class 1 1


1 www.nptel.ac.in


☑ CHALK & TALK ☑ STUD. ASSIGNMENT ☑ WEB RESOURCES

☑ LCD/SMART BOARDS ☐ STUD. SEMINARS ☐ ADD-ON COURSES


☑ ASSIGNMENTS ☐ STUD. SEMINARS ☑ TESTS/MODEL EXAMS ☑ UNIV. EXAMINATION

☑STUD. LAB PRACTICES ☐ STUD. VIVA ☐MINI/MAJOR PROJECTS ☐ CERTIFICATIONS

☐ ADD-ON COURSES ☐ OTHERS

MAPPING LOW/MEDIUM

/HIGH

JUSTIFICATION

CME205.1-PSO1 H Students will be able to apply the acquired knowledge of fundamental

concepts to solve engineering problems.

CME205.2-PSO1 H Students will be able to apply the acquired knowledge of first law of

thermodynamics to solve engineering problems and processes.

CME205.3-PSO1 H

Students will be able to apply the acquired knowledge of second law of

thermodynamics to determine the feasibility of a complex thermodynamic

process.

CME205.4-PSO1 M

Students will be able to apply the acquired knowledge to identify the

thermodynamic properties and obtain the data from property tables for

solution of complex engineering problems.

CME205.5-PSO1 H


concepts of chemical thermodynamics, with emphasis on the first and

second laws to solve complex engineering problems.

CME205.6-PSO1 M Students will be able to apply the acquired knowledge of ideal and real

gas mixtures to solve complex engineering problems.




☑ ASSESSMENT OF COURSE OUTCOMES (BY FEEDBACK,

ONCE) ☑ STUDENT FEEDBACK ON FACULTY (TWICE)

☐ ASSESSMENT OF MINI/MAJOR PROJECTS BY EXT. EXPERTS ☐ OTHERS

7.2 COURSE PLAN

Sl. No. Module

Topic No. of lecture

hours

1 I Introduction to subject & syllabus, basic

requirements for the subject. Fundamental

concepts, Scope & limitations of thermodynamics

1

2 I Thermodynamic systems, different types of

systems, boundaries, Macroscopic and microscopic

approaches

1

3 I Continuum, Explanation using density, defining a

property at a point. 1

4 I Properties, state, process, quasi static process,

thermodynamic equilibrium 1

5

I Property - point function, exact differential,

numerical problems based on exact differential,

Gibbs phase rule

1

6 I Thermodynamics Equilibrium, Free Expansion. 1

7 I Work transfer types; Path functions. 1

8

II Zeroth law of thermodynamics, thermal

equilibrium, concept of temperature, temperature

scale

1

9 II

Thermometry, perfect gas temperature scales, 1

10 II

Work and heat 1



11 II First law of thermodynamics 1

12 II

Concept of energy 1

13 II First law for closed systems 1

14 II Specific heats, Numerical 1

15 II Internal Energy, enthalpy and Joule Thompson

effect 1

16 III

Second law of thermodynamics 1

17 III equivalence of variousstatements of second law of

thermodynamics 1

18 III

reversible process and reversible cycle 1

19 III

Carnot cycle 1

20 III

Corollaries of second law 1

21 III

Thermodynamics temperature scale 1

22 III

Clausius inequality - concept of entropy 1

23 III

Change in entropy of different process 1

24 III

Reversibility and irreversibility 1

25 III

Available and unavailable energy 1

26 IV

Pure Substances 1



27 IV

P-V-T, P-T and T-S diagrams 1

28 IV

Property calculations using steam tables 1

29 IV

The ideal Gas Equation 1

30 IV

Law of corresponding state 1

31 IV

Compressibility charts 2

32 IV

Numerical problems 3

33 V

Mixtures of ideal Gases 2

34 V

Dalton’sLaw of partial pressure 1

35 V

Mixture of gases and vapours, mixture of ideal gas 2

36 V

Dalton’s Law and Gibb’s Law 1

37 V

Psychrometric Properties 1

38 V

Thermodynamic properties of mixture 1

39 V

Numerical problems 3

40 VI

Combination of first and second law equations 1

41 VI

Helmholtz function and Gibbs function 1

42 VI

Maxwell relation 1



7.3 SAMPLE QUESTIONS

MODULE I–II

1 Derive the Steady Flow Energy Equation ( S.F.E.E ) ?

2 Explain Transient flow ( Variable flow ) based on:

3 System Technique.

4 Control Volume Technique.

5 Define 1) Available energy, 2) Unavailable energy, 3) Dead state, 4) Availability and 5)

Availability function?

6 A heat pump operates between two identical bodies, both at a temperature T1 initially and

cools one of the bodies to a temperature T2 (T2 < T1). Prove that for this operation the

minimum work required by the heat pump is given by

a. Where cp is the specific heat which is same for both the bodies

7 Explain the processes of a Carnot cycle with the help of P-V and T-S diagram. Also derive Carnot Efficiency?

MODULE III - IV

1. A container holds a mixture of three non-Reacting gases: n1 moles of the first gas with molar

specific heat at constant volume C1, and so on. Find the molar specific heat at constant volume of

the mixture, in terms of the molar specific heats and quantities of the three separate gases.

2. A mixture of 1.78 kg of water and 262 g of ice at 0°C is, in a reversible process, brought to a final

equilibrium state where the water / ice ratio, by mass 1:1 at 0°C. (a) Calculate the entropy change

of the system during this process. (b) The system is then returned to the first equilibrium state, but

43 VI Equation for specific heat, internal energy and

enthalpy 1

44 VI

Clausius Clapeyron equation 1

45 VI

Application of thermodynamics relations 2

46 VI Numerical problems 3



in an irreversible way (by using a Bunsen burner, for instance). Calculate the entropy change of the

system during this process. (c) Show that your answer is consistent with the second law of

thermodynamics.

3. Apparatus that liquefies helium is in a laboratory at 296 K. The helium in the apparatus is at 4.0

K. If 150 mJ of heat is transferred from the helium, find the minimum amount of heat delivered to

the laboratory.

MODULE V-VI

1. Define the following terms: (i) Enthalpy of formation; (ii)Adiabatic flame temperature;

(iii)Enthalpy of combustion

2. Differentiate between the lower calorific value and the higher calorific value

3.Write down the first law equation for reactive systems explaining each term in the equation.

4. What do you mean by stoichiometric air?

5. Explain how Orsat is used to determine the percent of various components in the exhaust gas

emission.

6. The volumetric composition of the dry products of combustion of an unknown hydrocarbon fuel,

CxHy, are : CO2 : 12.1 % ; O2 :3.8 %; CO: 0.9 %; N2: 83.2 %.Determine (i) the chemical formula of the

fuel, (ii) the air-fuel ratio and (iii) the percent excess air used.

7. Propane (C3H8) reacts with air in such a ratio that an analysis of the products of combustion

gives CO2: 11.5 % ; O2: 2.7 %; CO: 0.7 %. What is the percent theoretical air used?

8 Octane (C8H18) is burnt with150% excess air (250% of theoretical air). Find the molal mass

analysis of the products of combustion, and the volume of air required at 1 bar and 250C. Also find

the dew point temperature of the combustion products at 1 bar.

9. A type of lignite with the composition 51.9% carbon, 4.0% hydrogen, 20.5% oxygen, 1.0%

nitrogen, 0.6% sulphur,16% water and 6% ash is burnt with 130 % theoretical air. Find (i)

theoretical air-fuel ratio, (ii)the actual air-fuel ratio and (iii) the mass of products per kg of fuel.

percent excess air.


P.P.Krishnaraj Dr.Thankachan T Pullan

(Faculty) (HOD)

ME 210 METALLURY AND MATERIALS ENGINEERING S3 ME


8. ME210 METALLURGY AND MATERIALS ENGINEERING



ENGINEERING

DEGREE: B.TECH

COURSE: METALLURGY AND MATERIALS

ENGINEERING

SEMESTER: III CREDITS: 3

COURSE CODE: ME 210

REGULATION: UG

COURSE TYPE: CORE

COURSE AREA/DOMAIN: MATERIALS

SCIENCE AND TECHNOLOGY

CONTACT HOURS: 3 (Lecture)

hours/Week.

CORRESPONDING LAB COURSE CODE (IF

ANY): NA

LAB COURSE NAME: NA

SYLLABUS:

UNIT DETAILS HOURS

I Earlier and present development of atomic structure; attributes of ionization

energy and conductivity, electro negativity and alloying; correlation of

atomic radius to strength; electron configurations; electronic repulsion

Primary bonds: - characteristics of covalent, ionic and metallic bond:

attributes of bond energy, cohesive force, density, directional and non-

directional and ductility. properties based on atomic bonding:- attributes of

deeper energy well and shallow energy well to melting temperature,

coefficient of thermal expansion - attributes of modulus of elasticity in metal

cutting process –Secondary bonds:- classification- hydrogen bond and

anomalous behavior of ice float on water, application- atomic mass unit and

specific heat, application. (brief review only, no University questions and

internal assessment from these portions).

Crystallography:- Crystal, space lattice, unit cell- BCC, FCC, HCP structures

- short and long range order – effects of crystalline and amorphous structure

on mechanical properties.

Coordination number and radius ratio; theoretical density; simple problems -

Polymorphism and allotropy.

Miller Indices: - crystal plane and direction (brief review)- Attributes of

miller indices for slip system, brittleness of BCC, HCP and ductility of FCC -

Modes of plastic deformation: - Slip and twinning.

Schmid's law, equation, critical resolved shear stress, correlation of slip

system with plastic deformation in metals and applications.

6

II Mechanism of crystallization: Homogeneous and heterogeneous nuclei

formation, under cooling, dendritic growth, grain boundary irregularity.

Effects of grain size, grain size distribution, grain shape, grain orientation on

dislocation/strength and creep resistance - Hall - Petch theory, simple

8



problems

Classification of crystal imperfections: - types of dislocation – effect of point

defects on mechanical properties - forest of dislocation, role of surface

defects on crack initiation.

Burgers vector –dislocation source, significance of Frank Read source in

metals deformation - Correlation of dislocation density with strength and

nano concept, applications.

Significance high and low angle grain boundaries on dislocation – driving

force for grain growth and applications during heat treatment.

Polishing and etching to determine the microstructure and grain size.

Fundamentals and crystal structure determination by X – ray diffraction,

simple problems –SEM and TEM.

Diffusion in solids, Fick’s laws, mechanisms, applications of diffusion in

mechanical engineering, simple problems.

III Phase diagrams: - Limitations of pure metals and need of alloying -

classification of alloys, solid solutions, Hume Rothery`s rule - equilibrium

diagram of common types of binary systems: five types.

Coring - lever rule and Gibb`s phase rule - Reactions: - monotectic, eutectic,

eutectoid, peritectic, peritectoid.

Detailed discussion on Iron-Carbon equilibrium diagram with microstructure

and properties changes in austenite, ledeburite, ferrite, cementite, special

features of martensite transformation, bainite, spheroidite etc.

Heat treatment: - Definition and necessity – TTT for a eutectoid iron–carbon

alloy, CCT diagram, applications - annealing, normalizing, hardening,

spheroidizing.

Tempering:-austermpering, martempering and ausforming - Comparative

study on ductility and strength with structure of pearlite, bainite, spherodite,

martensite, tempered martensite and ausforming.

Hardenability, Jominy end quench test, applications- Surface hardening

methods:- no change in surface composition methods :- Flame, induction,

laser and electron beam hardening processes- change in surface composition

methods :carburizing and Nitriding; applications.

Types of Strengthening mechanisms: - work hardening, equation -

precipitation strengthening and over ageing dispersion hardening.

Cold working: Detailed discussion on strain hardening;

recovery; re-rystallization, effect of stored energy; recrystallization

temperature - hot working Bauschinger effect and attributes in metal forming.

10

IV Alloy steels:- Effects of alloying elements on steel: dislocation movement,

polymorphic transformation temperature, alpha and beta stabilizers,

formation and stability of carbides, grain growth, displacement of the

eutectoid point, retardation of the transformation rates, improvement in

corrosion resistance, mechanical properties

Nickel steels, Chromium steels etc. - Enhancement of steel properties by

adding alloying elements: - Molybdenum, Nickel, Chromium, Vanadium,

Tungsten, Cobalt, Silicon, Copper and Lead.

High speed steels:- Mo and W types, effect of different alloying elements in

5



HSS

Cast irons: Classifications; grey, white, malleable and spheroidal graphite

cast iron etc, composition, microstructure, properties and applications.

Principal Non ferrous Alloys: - Aluminum, Copper,

Magnesium, Nickel, study of composition, properties, applications, reference

shall be made to the phase diagrams whenever necessary.

V Fatigue: - Stress cycles – Primary and secondary stress raisers -

characteristics of fatigue failure, fatigue tests, S-N curve.

Factors affecting fatigue strength: stress concentration, size effect, surface

roughness, change in surface properties,surface residual stress.

Ways to improve fatigue life – effect of temperature on fatigue, thermal

fatigue and its applications in metal cutting

Fracture: – Brittle and ductile fracture – Griffith theory of brittle fracture –

Stress concentration, stress raiser – Effect of plastic deformation on crack

propagation.

transgranular, intergranular fracture - Effect of impact loading on ductile

material and its application in forging, applications - Mechanism of fatigue

failure.

Structural features of fatigue: - crack initiation, growth, propagation -

Fracture toughness (definition only) – Ductile to brittle transition temperature

(DBTT) in steels and structural changes during DBTT, applications.

6

VI Creep: - Creep curves – creep tests - Structural change:- deformation by slip,

sub-grain formation, grain boundary sliding

Mechanism of creep deformation - threshold for creep, prevention against

creep - Super plasticity: need and applications

Composites:- Need of development of composites - geometrical and spatial

Characteristics of particles – classification - fiber phase: - characteristics,

classifications - matrix phase:- functions – only need and characteristics of

PMC, MMC, and CMC – applications of composites: aircraft applications,

aerospace equipment and instrument structure, industrial applications of

composites, marine applications, composites in the sporting goods industry,

composite biomaterials.

Modern engineering materials: - only fundamentals, need, properties and

applications of, intermetallics, maraging steel, super alloys, Titanium –

introduction to nuclear materials, smart materials and bio materials.

Ceramics:-coordination number and radius ratios- AX, AmXp, AmBmXptype

structures – applications.

7

TOTAL HOURS 42



T Raghavan V, Material Science and Engineering, Prentice Hall,2004

T Jose S and Mathew E V, Metallurgy and Materials Science, Pentagon, 2011

R Anderson J.C. et.al., Material Science for Engineers,Chapman and Hall,1990



R Clark and Varney, Physical metallurgy for Engineers, Van Nostrand,1964

R Reed Hill E. Robert, Physical metallurgy principles, 4th Edn. Cengage Learning,2009

R Avner H Sidney, Introduction to Physical Metallurgy, Tata McGraw Hill,2009

R Callister William. D., Material Science and Engineering, John Wiley,2014

R Dieter George E, Mechanical Metallurgy,Tata McGraw Hill,1976

R Higgins R.A. - Engineering Metallurgy part - I – ELBS,1998

R Myers Marc and Krishna Kumar Chawla, Mechanical behavior of materials, Cambridge

University press,2008

R Van Vlack -Elements of Material Science - Addison Wesley,1989



- - - -

COURSE OBJECTIVES:

1 To provide fundamental science relevant to materials

2 To provide physical concepts of atomic radius, atomic structure, chemical bonds, crystalline

and non-crystalline materials and defects of crystal structures, grain size, strengthening

mechanisms, heat treatment of metals with mechanical properties and changes in structure

3 To enable students to be more aware of the behavior of materials in engineering applications

and select the materials for various engineering applications.

4 To understand the causes behind metal failure and deformation

5 To determine properties of unknown materials and develop an awareness to apply this

knowledge in material design.

COURSE OUTCOMES:


Taxonomy

Level

CME210.1 Students will be able to identify the crystal structures of

metallic materials.

Remember

(level 1)

CME210.2 Students will be able to analyze the binary phase diagrams

of alloys Fe-Fe3C, etc.

Analyze

(level 4)

CME210.3 Students will be able to apply the microstructure with

properties, processing and performance of metals.

Apply

(level 2)

CME210.4 Students will be able to analyze the failure of metals with

structural change.

Analyze

(level 4)



CME210.5 Students will be able to recommend materials for design and

construction.

Evaluate

(level 5)

CME210.6 Students will be able to apply core concepts in materials

science to solve engineering problems.

Apply

(level 3)


P

O

1

PO

2

P

O

3

P

O

4

P

O

5

P

O

6

P

O

7

P

O

8

P

O

9

P

O

10

P

O

11

P

O

12

PS

O

1

PS

O

2

PS

O

3

CME210.1 3 - - - - - - - - 2 - - - - -

CME210.2 - 3 2 2 - - - - - - - - - - -

CME210.3 - 3 3 - - - 3 - - - - - - - -

CME210.4 - 3 3 3 - 2 2 - - - - - - - -

CME210.5 - 3 3 - - 2 3 - - - - 2 - 3 -

CME210.6 - 3 3 3 - - - - - - - - - - -


MAPPING LOW/MEDIUM

/

HIGH

JUSTIFICATION

CME210.1-

PO1

H As they could apply their knowledge of engineering

fundamentals to the solution of complex engineering

problems.

CME210.1-

PO10

M Students will be able to communicate to the engineering

community regarding the structure of materials.

CME210.2-

PO2

H As they could analyze phase diagrams to arrive at

substantiated conclusions.

CME210.2-

PO3

M As they could design solutions with the help of phase

diagrams to meet the specifications with consideration for

the public health and safety.

CME210.2-

PO4

H As they could interpret data and synthesis of the information

to provide valid conclusions.

CME210.3-

PO2

H As they could analyse microstructure and material

properties and arrive at substantiated conclusions.

CME210.3- H Students will be able to design solutions for complex



PO3 engineering problems by studying the microstructure and

design system components, processes to meet the

specifications with consideration for the public health and

safety, and the cultural, societal, and environmental

considerations.

CME210.3-

PO7

H With the knowledge gained in microstructure and properties

they could understand the impact of the professional

engineering solutions in societal and environmental

contexts.

CME210.4-

PO2

H As they could analyse failure of engineering materials and

arrive at substantiated conclusions

CME210.4-

PO3

H With the knowledge gained they could develop solutions by

considering the societal and environmental impacts.

CME210.4-

PO4

H They will be able to synthesize the information and arrive at

conclusions regarding the failure of materials.

CME210.4-

PO6

M With the knowledge gained regarding the failure of

materials they can fulfil their duties and responsibilities

towards society.

CME210.4-

PO7

M With the knowledge gained in the basic concepts of

engineering materials and structures, they could understand

the impact of the professional engineering solutions in

societal and environmental contexts.

CME210.5-

PO2

H Students will be able to identify and arrive at conclusions

regarding the type of material to be used for a particular

application.

CME210.5-

PO3

H With the knowledge gained they can design components by

considering the public health and safety.

CME210.5-

PO6

M With the knowledge gained they can fulfil their

responsibilities towards society while designing various

components.

CME210.5-

PO7

H With the knowledge gained in failure mechanisms of

engineering materials and structures, they could understand

the impact of the professional engineering solutions in

societal and environmental contexts.

CME210.5-

PO12

M As the properties required for various applications keeps on

changing, it is a must to get updated with the recent

developments in this field.

CME210.6- H Students will be able to identify, formulate and analyze



PO2 engineering problems to arrive at substantiated conclusions.

CME210.6-

PO3

H Students will be able to design system components,

processes to meet the specifications with consideration for

the public health and safety.

CME210.6-

PO4

H Students will be able to conduct investigations of complex

engineering problems related to material design.



REQUIREMENTS:


TO PO\PSO

PROPOSED

ACTIONS

1

Finds difficulty in correlating with the actual

situations

Laboratory

visits &

Reading

2,5,6,7,9

2

Impacts on metals and composites on environment Seminars and

Notes

2, 6,7





TO PO\PSO

1 Nanomaterials and Nanotechnology 2,6,7


1 http://nptel.ac.in/courses/113106032/1

2 http://www.myopencourses.com/subject/principles-of-physical-metallurgy-2

3 http://ocw.mit.edu/courses/materials-science-and-engineering/3-091sc-introduction-to

MAPPING LOW/MEDIUM/

HIGH

JUSTIFICATION

CME210.5-

PSO2

H Students will be able to select materials depending upon

the application for designing components.

http://nptel.ac.in/courses/113106032/1

http://www.myopencourses.com/subject/principles-of-physical-metallurgy-2

http://ocw.mit.edu/courses/materials-science-and-engineering/3-091sc-introduction-to



solid-state-chemistry-fall-2010/syllabus/

4 http://www.msm.cam.ac.uk/teaching/partIA.php

5 http://www.sv.vt.edu/classes/MSE2094_NoteBook/96ClassProj/examples/kimcon.html

6 http://www.sv.vt.edu/classes/MSE2094_NoteBook/96ClassProj/experimental/ternary2.ht

ml

7 http://www.emering.fi/old/download/EP1617_Chapter2.pdf

8 http://www.me.umn.edu/courses/old_me_course_pages/me3221-

sum/Overviews/FailureTheories/failuretheories.html


☑ CHALK & TALK ☑ STUD.

ASSIGNMENT

☑ WEB

RESOURCES

☑ LCD/SMART

BOARDS

☑ STUD. SEMINARS ☐ ADD-ON

COURSES


☑ASSIGNMENTS ☑ STUD.

SEMINARS

☑ TESTS/MODEL

EXAMS

☑UNIV.

EXAMINATION

☐ STUD. LAB

PRACTICES


PROJECTS

☐

CERTIFICATIONS

☐ ADD-ON

COURSES

☐ OTHERS


☐ ASSESSMENT OF COURSE OUTCOMES

(BY FEEDBACK, ONCE)

☐ STUDENT FEEDBACK ON

FACULTY (ONCE)



☐ OTHERS

8.2 COURSE PLAN


1 1 Earlier and present development of atomic structure; attributes of ionization

energy and conductivity, electro negativity and alloying; correlation of

atomic radius to strength; electron configurations; electronic repulsion

Primary bonds: - characteristics of covalent, ionic and metallic bond:

attributes of bond energy, cohesive force, density, directional and non-

directional and ductility.

http://www.me.umn.edu/courses/old_me_course_pages/me3221-sum/Overviews/FailureTheories/failuretheories.html

http://www.me.umn.edu/courses/old_me_course_pages/me3221-sum/Overviews/FailureTheories/failuretheories.html



2 1 properties based on atomic bonding:- attributes of deeper energy well and

shallow energy well to melting temperature, coefficient of thermal

expansion - attributes of modulus of elasticity in metal cutting process –

Secondary bonds:- classification- hydrogen bond and anomalous behavior

of ice float on water, application- atomic mass unit and specific heat,

application. (brief review only, no University questions and internal

assessment from these portions).

3 1 Crystallography:- Crystal, space lattice, unit cell- BCC, FCC, HCP

structures - short and long range order – effects of crystalline and

amorphous structure on mechanical properties.

4 1 Coordination number and radius ratio; theoretical density; simple problems

- Polymorphism and allotropy.

5 1 Miller Indices: - crystal plane and direction (brief review)- Attributes of

miller indices for slip system, brittleness of BCC, HCP and ductility of

FCC - Modes of plastic deformation: - Slip and twinning.

6 1 Schmid's law, equation, critical resolved shear stress, correlation of slip

system with plastic deformation in metals and applications.

7 2 Mechanism of crystallization: Homogeneous and heterogeneous nuclei

formation, under cooling, dendritic growth, grain boundary irregularity.

8 2 Effects of grain size, grain size distribution, grain shape, grain orientation

on dislocation/strength and creep resistance - Hall - Petch theory, simple

problems

9 2 Classification of crystal imperfections: - types of dislocation – effect of

point defects on mechanical properties - forest of dislocation, role of

surface defects on crack initiation.

10 2 Burgers vector –dislocation source, significance of Frank Read source in

metals deformation - Correlation of dislocation density with strength and

nano concept, applications.

11 2 Significance high and low angle grain boundaries on dislocation – driving

force for grain growth and applications during heat treatment.

12 2 Polishing and etching to determine the microstructure and grain size.

13 2 Fundamentals and crystal structure determination by X – ray diffraction,

simple problems –SEM and TEM.

14 2 Diffusion in solids, Fick’s laws, mechanisms, applications of diffusion in

mechanical engineering, simple problems.

15 3 Phase diagrams: - Limitations of pure metals and need of alloying -

classification of alloys, solid solutions

16 3 Hume Rothery`s rule - equilibrium diagram of common types of binary

systems: five types.

17 3 Coring - lever rule and Gibb`s phase rule - Reactions: - monotectic,

eutectic, eutectoid, peritectic, peritectoid.

18 3 Detailed discussion on Iron-Carbon equilibrium diagram with

microstructure and properties changes in austenite, ledeburite, ferrite,

cementite, special features of martensite transformation, bainite, spheroidite

etc.

19 3 Heat treatment: - Definition and necessity – TTT for a eutectoid iron–



carbon alloy, CCT diagram, applications - annealing, normalizing,

hardening, spheroidizing.

20 3 Tempering:-austermpering, martempering and ausforming - Comparative

study on ductility and strength with structure of pearlite, bainite, spherodite,

martensite, tempered martensite and ausforming.

21 3 Hardenability, Jominy end quench test, applications- Surface hardening

methods:- no change in surface composition methods :- Flame, induction,

laser and electron beam hardening processes

22 3 Change in surface composition methods :carburizing and Nitriding;

applications.

23 3 Types of Strengthening mechanisms: - work hardening, equation -

precipitation strengthening and over ageing dispersion hardening.

24 3 Cold working: Detailed discussion on strain hardening; recovery; re-

rystallization, effect of stored energy; recrystallization temperature - hot

working Bauschinger effect and attributes in metal forming.

25 4 Alloy steels:- Effects of alloying elements on steel: dislocation movement,

polymorphic transformation temperature, alpha and beta stabilizers,

formation and stability of carbides, grain growth, displacement of the

eutectoid point, retardation of the transformation rates, improvement in

corrosion resistance, mechanical properties

26 4 Nickel steels, Chromium steels etc. - Enhancement of steel properties by

adding alloying elements: - Molybdenum, Nickel, Chromium, Vanadium,

Tungsten, Cobalt, Silicon, Copper and Lead.

27 4 High speed steels:- Mo and W types, effect of different alloying elements in

HSS

28 4 Cast irons: Classifications; grey, white, malleable and spheroidal graphite

cast iron etc, composition, microstructure, properties and applications.

29 4 Principal Non ferrous Alloys: - Aluminum, Copper, Magnesium, Nickel,

study of composition, properties, applications, reference shall be made to

the phase diagrams whenever necessary.

30 5 Fatigue: - Stress cycles – Primary and secondary stress raisers -

characteristics of fatigue failure, fatigue tests, S-N curve.

31 5 Factors affecting fatigue strength: stress concentration, size effect, surface

roughness, change in surface properties,surface residual stress.

32 5 Ways to improve fatigue life – effect of temperature on fatigue, thermal

fatigue and its applications in metal cutting

33 5 Fracture: – Brittle and ductile fracture – Griffith theory of brittle fracture –

Stress concentration, stress raiser – Effect of plastic deformation on crack

propagation.

34 5 transgranular, intergranular fracture - Effect of impact loading on ductile

material and its application in forging, applications - Mechanism of fatigue

failure.

35 5 Structural features of fatigue: - crack initiation, growth, propagation -

Fracture toughness (definition only) – Ductile to brittle transition

temperature (DBTT) in steels and structural changes during DBTT,

applications.



36 6 Creep: - Creep curves – creep tests - Structural change:- deformation by

slip, sub-grain formation, grain boundary sliding

37 6 Mechanism of creep deformation - threshold for creep, prevention against

creep - Super plasticity: need and applications

38 6 Composites:- Need of development of composites - geometrical and spatial

Characteristics of particles – classification - fiber phase: - characteristics,

classifications - matrix phase:- functions – only need and characteristics of

PMC, MMC, and CMC – applications of composites: aircraft applications,

aerospace equipment and instrument structure, industrial applications of

composites, marine applications, composites in the sporting goods industry,

composite biomaterials.

39 6 Modern engineering materials: - only fundamentals, need, properties and

applications of, intermetallics, maraging steel, super alloys, Titanium –

introduction to nuclear materials, smart materials and bio materials.

40 6 Ceramics:-coordination number and radius ratios- AX, AmXp, AmBmXp

type structures – applications.


MODULE 1

Part A

1. Explain the phenomena of polymorphism citing one example

2. Explain how melting temperature is related to type of bond.

3. What is polymorphism?

4. What do you mean by amorphous structure?

5. Which are the allotropic forms of iron?

6. What are the common features of graphite and diamond?

7. What are the features of metallic bonding?

8. Compare different types of primary bondings with examples.

9. Explain various mechanisms by which plastic deformation takes place in materials.

10. Differentiate between slip and twinning.

11. What is meant by polymorphism? Give some of its examples.

12. What is the relation of the packing of the crystals with coordination number?

13. Define (a) Co-ordination number (b) amorphous structure

14. What is atomic packing factor ? Calculate it for the simple cubic

15. Explain the important features of miller indices.

16. Briefly explain the packing of atoms in solids.

17. Justify how atomic arrangements results in various material structures

18. Define (a) Atomic packing factor (b) Co-ordination number

19. Explain Bonding forces and energies.

20. Explain Atomic packing factor.



21. Explain the mechanism of slip.

22. Certain directions and planes carry importance in a unit cell. List out the procedures to

find those with the help of some examples.

23. What do you mean by Miller indices? Give examples.

24. Explain crystallographic directions and planes.

Part B

1. What are Miller indices? Explain the features. Draw the following planes in a cubic cell.

(a) (101), (b) (112), (c) (102).

2. (a)Explain the features of Metallic bonding. (b) Determine the atomic packing factor for a

simple cubic cell.

3. Determine atomic packing factor for FCC and BCC structures.

4. (a)Explain the feature of miller indices. b) Lead is a FCC structured material with an

atomic radius of 1.746 A°. Find the spacing between (200) and (220) planes.

5. (a)What are the important features of miller indices? (b) Draw the (1 12) and (111) planes

in a simple cubic cell.

6. (a)Explain how miller indices are used to designate directions within a crystal lattice. (b)

What do you mean by surface imperfections of a crystalline structure.

7. Explain crystallographic directions. Sketch the following planes and directions (123),

(00-1), (101), (-1-11), (121), (111).

8. For a FCC structure, estimate the atomic packing factor Is there any other structural unit

having higher packing factor? (b) Explain homogenous and heterogeneous nuclei

formation.

9. What do you mean by miller indices and what are its important features? Explain the

procedure for determining miller indices.

10. What are co-ordination number and atomic packing factor? Determine these for the

simple cubic, B.C.C. and F.C.C. crystals.

MODULE 2

Part A

1. Explain about growth of dendrites during cooling of castings.

2. Compare Edge and Screw dislocation

3. What is a line defect?

4. What is meant by equi-axed grain?

5. List the types of surface defects observed in crystalline materials.

6. Compare a jog and kink in dislocation.

7. Give the Hall-Petch equation.

8. List any three applications of diffusion.

9. What is self diffusion?



10. What is a dendrite?

11. What is interstitialcy?

12. What is Burgers vector? Give sketches of Burger’s vector in screw or edge dislocation

13. Compare Edge and Screw dislocation.

14. Differentiate between edge and screw dislocation.

15. What do you mean by surface imperfections of a crystalline structure?

16. Discuss the effect of grain size on mechanical properties of metals.

17. Explain Fick’s second law of diffusion.

18. Explain the Frank-read source for dislocation generation.

19. Explain the mechanism of grain growth in the crystallization process.

20. Explain homogeneous and heterogeneous nuclei formulation.

21. Explain Fick’s first law of diffusion.

22. A minimum value of shear stress is required to initiate slip in a crystal. Prove it

23. Compare Schottky defect and Frenkel defect.

24. Distinguish between homogeneous and heterogeneous nuclei formation

25. What is the effect of grain size on mechanical properties ?

26. Explain how grain size influences mechanical properties?

27. Explain Burgers vector.

28. What is dislocation climb? How it is related to creep?

29. Explain the mechanism of slip.

30. Explain (a) Frank-Read source of dislocation and (b) Burgers circuit of dislocation.

Part B

1. Explain and compare Edge and Screw dislocations. What is meant by dislocation climb,

jog and kink?

2. Explain the need of polishing and etching of metallic surfaces prior to inspection. What

are different procedures/ chemicals involved?

3. Explain the mechanism of crystallization in detail.

4. Explain a) Burger’s vector, b) Fick’s law of diffusion, c) Frank Read source

5. With the help of suitable sketches explain point, line and surface imperfections found in

solid crystal.

6. Explain the effect of grain size on mechanical and optical properties of a crystalline solid.

(b) Distinguish between the homogeneous and heterogeneous nuclei formation.

7. Explain edge and screw dislocation with the help of Burger’s Circuit. Mention the role of

a dislocation in the deformation of metals.

8. What is dislocation in solids and what are the different types of dislocation? Explain the

theory and important role of dislocation.

9. Differentiate between (i) Slip and twinning (ii) Edge and Screw dislocation (iii)

Crystalline and amorphous solids.

10. Explain (i) Dendritic growth ; (ii) Amorphous structure ; and (iii) Burger’s vector.



11. Explain (i) Dislocation climb and cross slip; (ii) Frank~Read source; (iii) Fick’s

12. laws of diffusion.

13. Discuss the various imperfections found in solid materials. Explain with neat sketches.

14. Explain with suitable sketches crystal imperfections.

15. Explain the terms (i) Nuclei formation (ii) Dendritic growth (iii) Grain boundary

16. Write a note on (i) Fick’s law, (ii) Tilt boundaries and stacking fault.

17. What are point, line and surface imperfections found in solid materials? Illustrate these

imperfections with suitable sketches.

MODULE 3

Part A

1. What are (a) Eutectic reaction (b) Eutectoid reaction

2. Classify solid solutions and give two examples of each.

3. What is martempering?

4. What is solid solution hardening?

5. What is work hardening?

6. State Gibb’s phase rule.

7. What do you mean by spheroidizing?

8. What is pearlite?

9. What in bainite?

10. What do you mean by dispersion hardening?

11. Explain how phase diagrams are categorized.

12. How a hardness test is conducted?

13. What is hardenability

14. What is laser hardening?

15. What is meant by coring?

16. What do you mean by hardenability of steel?

17. What is Bauschinger effect?

18. Explain how recrystallisation occurs.

19. Write down Hume-Rothery’s rules for formation of substitutional solid solution.

20. Explain the features of following microstructures (i) Bainite (ii) Spherodite.

21. Differentinte between recovery and recrystallisation in a metal.

22. Explain the process of full annealing and subcritical annealing.

23. Explain the following processes (i) carburizing (ii) cyaniding (iii) induction

hardening

24. What is the difference between cold working and hot working of metals?

25. Explain phase rule.

26. Briefly explain the normalising process of metals.

27. Explain a eutectoid system.

28. What factors affect the choice of cooling rates for steels?

29. Discuss the similarities and differences between substitutional and interstitial



30. solid solution.

31. Explain the diffusion method of surface heat treatment.

32. With a sketch explain austempering and martempering.

33. Compare hot working and cold working of metals.

34. Describe strain hardening of metals.

35. What are metallurgical advantages of hot working over cold working ?

36. Differentiate between recovery and recrystallization process

37. State Gibb’s phase rule. What is its signiiicance?

38. What do you mean by spheroidizing? Why is it done?

39. What is a TTT diagram?

40. List the various diffusion methods of surface treatment.

41. State the various reasons for alloying.

42. Distinguish between Cold working andHot working. MGU, Dec 2007) :Section 3_8’1

43. What are solid solutions? Explain with examples.

44. Explain strain hardening.

45. What is hardening? Explain.

46. What is spheroidizing? Explain.

47. What is Annealing? Explain.

48. Explain Eutectic Reaction.

49. What are hardenability curves? Explain the procedure of plotting the hardenability curves

for steel.

50. Explain (i) Austempering and (ii) Martempering.

51. Explain different types of tempering processes.

52. Explain the Jominy end quench test.

53. Which are the factors that govern grain growth?

Part B

1. Draw the iron carbide diagram and explain the microstructures. Mark important

temperatures and compositions.

2. Explain the following heat treatment processes in detail and mention specific

applications: (i) Anneaiing; (ii) Normalising; (iii) Martempering

3. Draw and explain the iron carbide diagram.

4. Explain the following heat treatment procedures: a) Flame hardening b) Carburizing, c)

Tempering.

5. What is lever rule? Explain the equilibrium diagram of a solid solution in which two

metals are completely soluble in the liquid and solid states.

6. (a) Compare cold working and hot working of metals (b) What are inter metallic

compounds?

7. Explain the process of recovery, recrystallization and grain growth in a strain hardened

metal.



8. (a) Describe the special features of martensite transformation compared to other

transformations in steel (b) Explain the features of a peritectic system.

9. (a)Describe the process of martempering and austempering. (b) What is metal cladding?

10. Explain the following processes (i) carburizing (ii) nitriding (iii) flame hardening

11. What is lever rule? With a neat sketch explain the equilibrium diagram for binary systems

showing complete inter solubility in the liquid and solid states.

12. Draw a neat sketch of the Fe-Fe3C equilibrium diagram. Label all significant features and

explain the three important reactions.

13. Explain (i) Spherodizing ; (ii) Austempering; (iii) Martempering ; (iv) Normalizing : (v)

Annealing.

14. With sketches explain the flame hardening and induction hardening methods of surface

treatment.

15. What is phase rule ? With a neat sketch explain the equilibrium diagram of two metals of

mutual liquid solubility and partial solid solubility.

16. Compare hot working and cold working of metals. (ii) Explain the (1) Unary phase

diagram and (2) Cooling curves for pure metals and alloys.

17. Explain (i) carburizing ; (ii) nitriding ; (iii) cyaniding ; (iv) work hardening.

18. Explain briefly the theory of tempering. Why steel is tempered and how is it done?

Discuss the effects of tempering on the mechanical properties of steel.

19. With a neat sketch explain the Iron-carbon equilibrium diagram showing all the salient

features on it. Explain the three invariant reactions involved.

20. What is eutectic system ? With a neat sketch explain the equilibrium diagram of two

metals completely soluble in liquid state but completely insoluble in the solid state.

21. Enumerate the various heat treatment processes and explain any two of them.

22. Explain (i) Carburizing ; (ii) flame hardening ; (iii) induction hardening

23. With a neat sketch explain the equilibrium diagram of two metals completely

soluble in the liquid and solid states.

24. Compare cold and hot working processes of metals. (ii) Explain : (a) Austenite;

(b) Ledeburite; (c) Pearlite; (d) Bainite

25. What is a surface hardening process? Explain any three surface hardening processes.

26. (i) Discuss the various mechanisms for strengthening metals and alloys.

(ii) What is critical cooling rate?

27. State the phase rule. Explain any two multiphase equilibrium diagrams.

28. Explain the following: (i) Hot working, (ii) Iron-carbon diagram (iii) Polymorphism

29. Explain (i) Spheroidizing (ii) Normalizing (iii) Austempering and (iv) Martempering.

30. Explain (i) Inter metallic compounds; (ii) Equilibrium diagram reactions; (iii) Phase

transformation.

31. Explain with neat sketches, the various strengthening mechanisms in metals.

32. Explain with neat sketches, the microstructure changes during different heat treatment

processes.



33. Draw an iron carbon diagram and explain its features

34. Explain with suitable sketches (i) Austenite, (ii) Pearlite (iii) Martensite.

MODULE 4

Part A

1. What are the properties acquired by adding Vanadium to steel?

2. Explain how carbides in steel strengthen the base material?

3. What do you accomplish by adding alloying elements in steel ?

4. Write a note on the classification of cast irons.

5. What are the applications of high speed steels?

6. What are Chromium steels.

7. What is Beryllium Bronze?

8. What is Y alloy?

9. What is magnelium?

10. What are the features of S.G.Iron?

11. What are the effects of alloying chromium with steel?

12. What is duralumin?

13. Discuss the effect of alloying of (i) Tungsten; (ii) Chromium to steel.

14. What are high speed steels? Explain different grades.

15. What are the constituents of cast iron and how do they vary in gray, white and malleable

cast irons?

16. What is duralumin? and what are its properties?

17. Differentiate cast iron, wrought and steel.

18. Explain why the cutting alloys are superior to high speed steels.

19. State the effects of important alloying elements in steel.

20. Write short notes on: (i) High speed steel ; (ii) Babbit metal.

21. What is the difference between cast iron, wrought iron and steel?

22. Write short notes on (i) Duralumin (ii) Muntz metal.

23. Explain the composition, properties and uses of important copper alloys.

24. What is high speed steel and what are its uses ?

25. Compare cast iron and steel in terms of composition and properties.

26. What are the commercial alloys of aluminium and what are their uses.

27. Differentiate between Malleable and Spheroidal graphite cast iron.

28. Discuss the effects of alloying elements on dislocation movement.

29. Explain the formation of carbides.

30. Discuss the displacement of eutectoid point.

31. Explain the retardation of transformation rates and improvement in corrosion resistance

in alloy steels.

32. Write a note on Aluminium and copper alloys.

33. Explain the difference between carbon steel and alloy steel.

Part B



1. Explain in detail, different types of cast iron.

2. What are HSS? Explain the effect of alloying elements to HSS with respect to properties.

3. Explain the effects of various alloying elements on the properties of steel.

4. Explain different types of cast iron. List the applications.

5. Explain (a) Stainless steel (b) high speed steel (C) displacement of eutectoid

6. Describe the composition, properties and uses of (i) spheroidal cast iron (ii) Brass and

bronze (iii) Gun metal.

7. Explain how the properties of steel depend upon its alloying elements. List out the

various alloy steels giving their uses.

8. Describe the composition, properties, and uses of (i) Duralumin (ii) Babbit metal (iii)

Bronze (iv) Gun metal.

9. Give the composition, microstructure, properties and applications of (i) Grey cast iron

;(ii) Malleable cast iron ; (iii) Spheroidal graphite cast iron.

10. Explain composition, microstructure, properties and applications of low, medium, and

high carbon steel. What is high speed steel?

11. Write notes on (i) Brasses and Bronzes ; (ii) spheroidal graphite cast iron ; (iii) Free

cutting steel (iv) Nickel steel.

12. Explain the classification of cast iron giving their composition, microstructure,properties

and uses.

13. Explain the effects of various alloying elements on properties of steel.

14. Describe the composition, properties and uses of (i) Silicon steel (ii) HSS (iii) Mild Steel

(iv) Brass.

15. Discuss the various effects of alloying elements on the mechanical properties. Also

discuss, the formation and stability of carbides.

16. (a) Explain the composition, microstructure and properties of the principal non-ferrous

alloys. (b) What are Chromium steels.

17. Explain the composition, microstructure, properties and applications of cast irons.

18. Briefly discuss : (i) Nickel steels. (ii) Chromium steels. (iii) Polymorphic transformation

temperature.

19. Discuss the properties and applications of magnesium and its alloys.

20. Discuss the properties and applications of nickel and its alloys.

21. Discuss the properties and uses of copper alloys

22. Discuss the properties and applications of aluminium alloys.

23. How is grey cast-iron different from S.G.iron. Explain from the point of view of

microstructure and application.

24. (i)Classify steel based on their composition name and practical application. (ii) Why steel

and cast iron are alloyed? Name different alloying elements added and the specific

property they impart.

MODULE 5

Part A



1. List various types of fracture in metals.

2. Draw the S-N curve for ferrous and non ferrous meta1s.

3. What are the factors leading to crack propagation?

4. What is super plasticity?

5. What is meant by stress raiser?

6. Define fracture toughness.

7. What is an S-N curve?

8. What is endurance limit?

9. What is trans granular fracture?

10. What is grain boundary sliding?

11. Compare between Ductile and Brittle fracture.

12. Explain how a good design can resist fatigue failure?

13. What is the effect of stress concentration on fatigue?

14. What are the features of ductile and brittle fractures?

15. Define fatigue strength and endurance limit.

16. What is a cleavage fracture?

17. Explain the effect of surface texture on fatigue failure.

18. Explain the influence of slip on fracture.

19. Write notes on ductile and brittle fracture.

20. Describe Griffith’s theory of fracture.

21. Explain ductile-brittle transition temperature.

22. How will you prevent fatigue failure?

23. What is stress concentration and how it affects fatigue failure.

24. Briefly explain the effect of plastic deformation on crack propagation.

25. Write a note on thermal fatigue.

26. Explain “super plasticity” with example.

27. Briefly discuss the effect of stress concentration on fatigue

28. Write a note on cohesive strength of metals

29. What is the role of surface defect on crack propagation?

30. Explain Brittle fracture.

31. Explain the factors leading to crack propagation.

32. Explain super plasticity.

33. Explain Griffith theory of fracture.

34. Explain the influence of slip on fracture.

35. Write a note on Ductlle to Brittle transition.

Part B

1. Draw and explain S-N curves for ferrous and non-ferrous metals. Explain various ways to

improve fatigue resistance.



2. Explain Griffith’s theory of fracture. Classifv different types of fractures.Explain

methods for protection from fracture.

3. Explain different types of fractures. Explain various theories of fracture.

4. How are the fractures classified? Describe the features of each type of fracture.

5. Discuss (i) Cleavage (ii) effect of stress concentration of fatigue. (iii) Structural changes

during creep.

6. (a) Explain Griffith’s crack theory. (b) Distinguish between a ductile and brittle fracture.

7. (a) Explain the factors leading to the propagation of crack. (b) Explain stress cycle and

fatigue failure.

8. (i) Explain ductile and brittle fracture (ii) Discuss the effect of stress concentration of

fatigue failure.

9. (a) Explain the different factors leading to crack propagation. (b) Explain the mechanism

of Creep.

10. Explain the mechanism of fatigue failure and different types of fatigue loading. What

actions are to be taken to prevent fatigue failure?

11. (a) Explain Griffith theory of fracture. (b) What is stress concentration and how it affects

fatigue failure.

12. Explain: (i) Bonding forces and energies. (ii) Crack initiation. (iii) Stress cycles.

13. (i) Distinguish between Brittle fracture and Ductile fracture. (ii) What are creep curves?

Discuss the importance.

14. Explain the mechanism of Fatigue.

15. Explain the effects of stress concentration, size effect and surface texture on fatigue.

16. Explain both creep and fatigue failure of materials and state how to prevent them?

17. How fractures are classified? State and explain different types of fracture giving

appearance of the fracture surface in each case.

MODULE 6

Part A

1. Write notes on creep resistant materials.

2. Draw a typical creep curve and mark different zones.

3. How slip is related to creep?

4. What is a creep curve?

5. Write a note on Mechanism of creep.

6. List few properties of refractories.

7. Write a brief note on nuclear materials.

8. Explain the features of smart materials.

9. Write short notes about metal matrix composites.

10. What are the properties of metal matrix composites?

11. How are composite materials classified?

12. What is a composite? Give examples.

13. Write notes on smart materials.



14. What are metal matrix composites? List the advantages.

15. What is meant by maraging steel?

16. What is meant by shape memory alloys? How it achieves the effect?

17. Write a note on materials for medical applications.

18. What are smart materials? Explain.

19. Give an account on shape memory alloys.

20. What is meant by biomaterials?

21. List out the features of superalloys.

22. What is meant by glass-ceramic.

Part B

1. Draw and explain a creep curve. Explain the features of a creep resistant design.

2. With a neat sketch explain the method of conducting a typical creep test. Draw the typical

creep curve for a metal and explain the different regions on it.

3. (a) Sketch creep curve and explain different stages of creep. (b) Write notes on creep

resistant materials.

4. Draw the creep curve and explain the various stages of creep.

5. Explain the mechanism of creep deformation.

6. Describe the preparation of metal matrix composites.

7. Explain the requisite properties of materials for nuclear applications.

8. Write short notes on Nano materials and Optical fibres.

9. List type of composites. Explain any two type of composites.

10. What are the different types of composites? Give one application for each type. Give an

account of nano materials.

11. Explain smart materials and materials with memory. Give an account on nano materials.

12. What is a ceramic? Give four examples of ceramics used as engineering materials.

13. What are the constituents of a composite material? Give examples of composite material.

14. What are composites? Explain any two different types with their specific applications in

engineering.

15. Explain the features of laminated composites.

16. Explain carbon-carbon composites and their uses.

17. Explain about the various crystal structures observed in ceramics.


Jibin Noble Dr.Thankachan T Pullan

HOD DME

HS 210 Life skills S3 ME


9. HS 210 Life skills


PROGRAMME:MECHANICAL

ENGINEERING

DEGREE: BTECH

COURSE: LIFE SKILLS SEMESTER: III AND IV CREDITS: 3

COURSE CODE:HS 210

REGULATION: 2015

COURSE TYPE: CORE

COURSE AREA/DOMAIN:

HUMANITIES

CONTACT HOURS: 4 hours/week

CORRESPONDING LAB COURSE

CODE (IF ANY):NIL

LAB COURSE NAME:---

SYLLABUS:

MODULE CONTENTS HOURS

I

Communication Skills:

Need for Effective Communication, Levels of communication; Flow of

communication; Use of language in communication; Communication

networks; Significance of technical communication, Types of barriers;

Miscommunication; Noise; Overcoming measures, Listening as an

active skill; Types of Listeners; Listening for general content;

Listening to fill up information; Intensive

Listening; Listening for specific information; Developing effective

listening skills; Barriers to effective listening skills.

Technical Writing: Differences between technical and literary style,

Elements of style; Common Errors, Letter Writing: Formal, informal

and demi-official letters; business letters, Job Application: Cover

letter, Differences between bio-data, CV

and Resume, Report Writing: Basics of Report Writing; Structure of a

report; Types of reports.

Non-verbal Communication and Body Language: Forms of non-verbal

communication; Interpreting body-language cues; Kinesics;

Proxemics; Chronemics; Effective use of body language

Interview Skills: Types of Interviews; Ensuring success in job

interviews; Appropriate use of non-verbal communication, Group

10



Discussion: Differences between group discussion and debate;

Ensuring success in group discussions, Presentation Skills: Oral

presentation and public speaking skills; business

presentations, Technology-based Communication: Netiquettes:

effective e-mail messages; power-point presentation; enhancing editing

skills using computer software.

II

Critical Thinking & Problem Solving:

Need for Creativity in the 21st century, Imagination, Intuition,

Experience, Sources of Creativity, Lateral Thinking, Myths of

creativity

Critical thinking Vs Creative thinking, Functions of Left Brain &

Right brain, Convergent & Divergent Thinking, Critical reading &

Multiple Intelligence.

Steps in problem solving, Problem Solving Techniques, Problem

Solving through Six Thinking Hats, Mind Mapping, Forced

Connections.

Problem Solving strategies, Analytical Thinking and quantitative

reasoning expressed in written form, Numeric, symbolic, and graphic

reasoning, Solving application problems

9

III

Teamwork:

Introduction to Groups and Teams, Team Composition, Managing

Team Performance, Importance of Group, Stages of Group, Group

Cycle, Group thinking, getting acquainted, Clarifying expectations.

Group Problem Solving, Achieving Group Consensus.

Group Dynamics techniques, Group vs Team, Team Dynamics, Teams

for enhancing productivity, Building & Managing Successful Virtual

Teams. Managing Team Performance & Managing Conflict in Teams.

Working Together in Teams, Team Decision-Making, Team Culture &

Power, Team Leader Development.

7

IV

Ethics, Moral & Professional Values:

Morals, Values and Ethics, Integrity, Work Ethic, Service Learning,

Civic Virtue, Respect for Others, Living Peacefully.

Caring, Sharing, Honesty, Courage, Valuing Time, Cooperation,

Commitment, Empathy, Self-Confidence, Character Spirituality,

Senses of ‘Engineering Ethics’, variety of moral issued, Types of

inquiry, moral dilemmas, moral autonomy, Kohlberg's theory,

Gilligan's theory, Consensus and controversy, Models of Professional

Roles, Theories about right action, Self-interest, customs and religion,

application of ethical theories.

Engineering as experimentation, engineers as responsible

experimenters, Codes of ethics, Balanced outlook on law

11



The challenger case study, Multinational corporations, Environmental

ethics, computer ethics

Weapons development, engineers as managers, consulting engineers,

engineers as expert witnesses and advisors, moral leadership, sample

code of Ethics like ASME, ASCE, IEEE, Institution of

Engineers(India), Indian Institute of Materials Management, Institution

of electronics and telecommunication engineers(IETE), India, etc.

V

Leadership Skills:

Introduction, a framework for considering leadership, entrepreneurial

and moral leadership, vision, people selection and development,

cultural dimensions of leadership, style, followers, crises.

Growing as a leader, turnaround leadership, gaining control, trust,

managing diverse stakeholders, crisis management

Implications of national culture and multicultural leadership

Types of Leadership, Leadership Traits.

Leadership Styles, VUCA Leadership, DART Leadership,

Transactional vs Transformational Leaders, Leadership Grid, Effective

Leaders, making of a Leader, Formulate Leadership

7

TOTAL HOURS 44



R Life Skills for Engineers. Compiled by ICT Academy of Kerala. Chennai: McGraw Hill

Education, 2016. Print.

R de Bono, Edward. Six Thinking Hats. London: Penguin Books, 2000. Print.

R Barun K. Mitra, Personality Development & Soft Skills, First Edition; Oxford

Publishers, 2011. Print.

R Kalyana, Soft Skills for Managers, First Edition; Wiley Publishing Ltd., 2015. Print.

R Larry James, The First Book of Life Skills, First Edition; Embassy Books, 2016. Print



R Shalini Verma, Development of Life Skills and Professional Practice, First Edition;

Sultan Chand (G/L) & Company, 2014. Print

R John C. Maxwell, The 5 Levels of Leadership, Centre Street, A division of Hachette

Book Group Inc., 2014. Print



- Basic communication

skills in English

The ability to read,

listen to, understand

and write in the

English language

.

COURSE OBJECTIVES:

1 To develop communication competence in prospective engineers.

2 To enable them to convey thoughts and ideas with clarity and focus.

3 To develop report writing skills.

4 To prepare them to face interviews & group discussions.

5 To inculcate critical thinking skills.

6 To equip them with problem solving skills.

7 To provide symbolic, verbal, and graphical interpretations of statements in a problem

description.

8 To understand team dynamics & effectiveness.

To create an awareness on engineering ethics and human values.

COURSE OUTCOMES:

Sl. NO DESCRIPTION PO

MAPPING

1

Learners are able to remember theories pertaining to communication,

creativity, problem solving, moral development and leadership

10,12

2

Learners are able to comprehend the importance of leadership

qualities, code of ethics, team dynamics and of communication.

2,3,4



3

Learners are able to apply skills pertaining to presentation, group

discussion, technical writing, problem solving, creative and critical

thinking and leadership in everyday life

9,11

4 Learners are able to analyze non-verbal communication cues and

leadership roles

3,6,7,8

5 Learners are able to evaluate different perspectives that arise due to

an ethical dilemma.

9


P

O1

PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12

HS 210.CO1 3 1

HS210.CO2 3 2 1

HS210.CO3 3 1

HS210.CO4 2 3 2 3

HS210.CO5 3



MAPPING LOW/MEDI

UM/HIGH JUSTIFICATION

HS210.1-PO10 H Comprehension and practice of letter writing, report writing

and presentations enable students to communicate effectively

HS210.1-PO12 L Theories pertaining to communication, creativity, problem

solving, moral development and leadership facilitate lifelong

learning

HS210.2-PO2 H

Critical thinking and reading techniques help students identify

reliable literature and analyze engineering problems with

clarity

HS210.2-PO3 M Brainstorming techniques and lateral thinking help design

innovative solutions to engineering problems

HS210.2-PO4 L In investigating complex problems, critical reading patterns

help to reach better conclusions

HS210.3-PO9 H Understanding the basics of becoming a team player helps

them to function effectively in groups and teams

HS210.3-PO11 L In applying engineering knowledge, awareness of the role of a

leader, manager and team member helps students function in a



context in an appropriate manner

HS210.4-PO3 M Awareness of engineering ethics leads to consideration of

environmental issues etc. while making engineering solutions

HS210.4-PO6 H Awareness of engineering ethics ensures consideration of

societal, health, safety issues as an engineer

HS210.4-PO7 M Ethics of engineering include sustainable engineering ethics

making students aware of need for sustainable development

HS210.4-PO8 H

Professional ethics, dilemmas and case studies help students

apply principles and make informed decisions based on norms

of engineering

HS210.5-PO9 H The principles of leadership help them become dynamic and

tactful leaders solving problems of teams

GAPS IN THE SYLLABUS - TO MEET INDUSTRY/PROFESSION

REQUIREMENTS:

SI

NO DESCRIPTION

PROPOSED

ACTIONS

RELEVANCE

WITH POs

RELEVANCE

WITH PSOs

1 Characteristics of languages

– introduction to verbal

communication

Lecture

-

2 Cultural Relativism of body

language

Presentation/Lecture


1 http://www.yourarticlelibrary.com/management/communication/top-5-types-of-

communication-network-with-diagram/60302/

2 http://www.debonogroup.com/six_thinking_hats.php

3 http://www.folj.com/lateral/


☑ CHALK & TALK ☑ STUD. ASSIGNMENT ☑WEB RESOURCES

☐LCD/SMART

BOARDS ☑ STUD. SEMINARS ☐ ADD-ON COURSES


☑ ASSIGNMENTS ☑ STUD.

SEMINARS

☑ TESTS/MODEL

EXAMS

☑ UNIV.

EXAMINATION

☐STUD. LAB

PRACTICES ☐ STUD. VIVA

☐MINI/MAJOR

PROJECTS ☐CERTIFICATIONS

http://www.debonogroup.com/six_thinking_hats.php



☐ ADD-ON

COURSES ☐ OTHERS



(BY FEEDBACK, ONCE)


FACULTY (ONCE)


PROJECTS BY EXT. EXPERTS ☐ OTHERS

7.2 COURSE PLAN


1 I Communication – process – barriers – noise – levels & flow

2 I Communication Networks, Verbal & Non Verbal communication

3 I Listening skills

4 I Group Discussions & Debates

5 I Technical Communication

6 I Letter writing & job application

7 I Report writing

8 I Interview skills, Presentation skills, Technology based communication

9 II Creativity – sources and myths

10 II Lateral Thinking, Left & Right Brain, Multiple Intelligence

11 II Mind Mapping & Six Thinking Hats

12 II Problem solving techniques & strategies

13 III Groups – Types & Dynamics

14 III Teams – Performance management

15 IV Morals, values & ethics

16 IV Ethical theories & Kohlberg’s & Gilligan’s theories

17 IV Models of Professional Roles – Code of Ethics

18 IV Environmental Ethics & Engineer’s Responsibility

19 IV Engineering as Social Experimentation – Safety & Risk, Accidents –

Challenger Case Study

20 IV Multinational Corporations

21 IV Computer Ethics



22 IV Weapons Development

23 IV Engineers as Managers, Consultants and Witnesses

24 IV Engineers as Advisors, Moral Leadership

25 V Introduction to Leadership – Trait theory

26 V Transactional & Transformational

27 V VUCA & DART

28 V Turnaround, Entrepreneurial, Multicultural, Leadership Grid

29 V Five Levels of Leadership

30-

35 I

Group Discussions

35-

45 I

Student Presentations

7.3 EVALUATION SCHEME

Internal Evaluation (conducted by college) : 100 marks

External Evaluation (conducted by university): 50 marks – 2 hours

INTERNAL EVALUATION

1. Group Discussion – 40 marks (to be completed by 30th working day of the semester)

2. Presentation – 30 marks (to be completed before 60th working day of the semester)

3. Written assignment – 30 marks (to be completed before end of semester)

Prepared by Approved By

Mr. Vinay Menon (HOD)

ME 231 COMPUTER AIDED MACHINE DRAWING LAB S3 ME


10. ME 231 COMPUTER AIDED MACHINE DRAWING LAB



COURSE: Computer Aided Machine Drawing

Lab

SEMESTER: 3 CREDITS: 1

COURSE CODE: ME 231

REGULATION: 2015

COURSE TYPE: CORE

COURSE AREA/DOMAIN: Mechanical

Systems, Design and Analysis

CONTACT HOURS: 3 hours /week


(IF ANY): NA

LAB COURSE NAME: NA

SYLLABUS:

UNIT DETAILS HOURS

0 Introduction Principles of drawing, free hand sketching, manual drawing,

CAD drawing etc.

1

I Drawing standards: 2 exercises, Code of practice for Engineering Drawing,

BIS specifications – lines, types of lines, dimensioning, sectional views,

Welding symbols, riveted joints, keys, fasteners –bolts, nuts, screws, keys etc.

5

II Fits, Tolerances and Surface Roughness: 2 exercises, Limits, Fits –

Tolerances of individual dimensions – Specification of Fits – basic principles

of geometric & dimensional tolerances. Preparation of production drawings

and reading of part and assembly drawings, surface roughness, indication of

surface roughness, etc.

6

III Introduction to drafting package: Introduction, input, output devices,

introduction to drafting software like Auto CAD, basic commands and

development of simple 2D and 3D drawings. Drawing, Editing,

Dimensioning, Plotting Commands, Layering Concepts, Matching, Detailing,

Detailed drawings.

6

IV Assembly drawings (2D): 10 exercises Preparation of assembled views.

(Manually): Shaft couplings – Connecting rod - Machine Vice – Stuffing box

– Plummer block. (Using software package, 2D Drawing):– Universal joint -

Screw jack – Lathe Tailstock – Rams Bottom Safety Valve – Steam stop

valve. Preparation of Bill of materials and tolerance data sheet.

24

TOTAL HOURS 42





T1 N. D. Bhatt and V.M. Panchal, Machine Drawing, Charotar Publishing House,2014

T2 K C John, Machine Drawing, PHI,2009

T3 P I Varghese and K C John, Machine Drawing, VIP Publishers ,2011

T4 K.L.Narayana, P.Kannaiah& K. VenkataReddy,Machine Drawing, New Age

Publishers,2009

T5 Ajeet Singh, Machine Drawing Includes AutoCAD, Tata McGraw-hill,2012

R1 P S Gill, Machine Drawing, Kataria& Sons, 2009.

R2 Machine Drawing With AutoCAD, GoutamPohit, GoutamGhosh,Pearson Publications



BE110 ENGINEERING

GRAPHICS

Should possess basic knowledge in

Engineering drawing: Fundamental

Engineering Drawing Standards,

Dimensioning and preparation of neat

drawings and to understand symbols used

in engineering drawings.

1

COURSE OBJECTIVES:

1 To introduce students to the basics and standards of engineering drawing related to machines

and components.

2 To teach students technical skills regarding assembly, production and part drawings.

3 To familiarize students with various limits, fits and tolerances.

4 To help students gain knowledge about standard CAD packages on modeling and drafting.

COURSE OUTCOMES:


Taxonomy

Level

CME231.1

Able to describe various standards, specifications,

dimensioning methods followed while preparing

Engineering drawings. They also understand and practice to

represent symbols for welded, riveted joints, surface

roughness etc. in drawings

Understand

(Level 2, 3 )



CME231.2 Make manual drawings of elevation, plan, end view and

sectioned view of machine components with the help

isometric views provided.

Apply

(Level 3)

CME231.3 Ability to assembly and sketch assembled views of

mechanical systems.

Apply

(Level 3)

CME231.4 Apply the knowledge of fits and tolerances for machine

components.

Apply

(Level 3)

CME231.5 Able to sketch machine components and assembly using

CAD software.

Create

(Level 6)

CME231.6 Ability to analyze and evaluate complex engineering

drawings and can make inferences and conclusions

regarding the actual product.

Analyse

and

Evaluate

(Level 4,5)


P

O

1

PO

2

PO

3

P

O

4

P

O

5

P

O

6

P

O

7

P

O

8

P

O

9

P

O

10

P

O

11

P

O

12

PS

O

1

PS

O

2

PS

O

3

CME231.1 3 - 2 - - - - - - 3 - - - 2 -

CME231.2 3 - 2 - - - - - - 3 - - - 2 -

CME231.3 3 - 2 - - - - - - 3 - - - 2 -

CME231.4 3 - 2 - - - - - - 3 - - - 2 -

CME231.5 3 - 2 - 3 - - - - 3 - 3 - 2 3

CME231.6 3 - 2 - - - - - - 3 - - - 2 -

CME231 (Avg.

Value)

3 - 2 3 3 2 3


MAPPING LOW/MEDIUM

/

HIGH

JUSTIFICATION

CME231.1-

PO1

H Students develop their fundamental knowledge in various

standards, specifications, dimensioning methods, symbols

followed while preparing Engineering drawings

CME231.1-

PO3

M While designing mechanisms or systems one should be

familiar with the machine components, joints, couplings etc.

to choose appropriate one for designing.

CME231.1- H Drawings are the communication tool of an engineer.



PO10 Students develop their skill to understand information from

drawings.

CME231.2-

PO1

H Fundamental knowledge in various standards,

specifications, dimensioning methods, symbols used is

necessary to create manual drawings of components.

CME231.2-

PO3

M Skill to draft manual drawings of machine components is

essential to design systems.

CME231.2-

PO10

H Drawings are the communication tool of an engineer.

Students develop their skill to understand information from

manual drawings.

CME231.3-

PO1

H Selection and assembly of mechanical components requires

fundamental knowledge in machine components

CME231.3-

PO3

M Skill to assembly components and to create assembled

views is necessary for designing mechanical systems.

CME231.3-

PO10


Students develop their skill to understand information from

manual drawings.

CME231.4-

PO1

H To apply fits and tolerance while designing components

requires the fundamental knowledge about the machine

component.

CME231.4-

PO3

M Knowledge in fits and tolerance is necessary for designing

ad assembly of mechanical components.

CME231.4-

PO10


Students develop their skill to understand information

regarding fits and tolerance from manual/ CAD drawings.

CME231.5-

PO1

H Modelling of machine components using CAD software

require fundamental knowledge in Engineering drawings.

CME231.5-

PO3

M Use of modern tool like AUTOCAD is necessary for

reaching into optimal design solutions

CME231.5-

PO5

H AUTOCAD is a modern drafting and modelling tool which

helps engineers to draft complex machine components and

its assembly.

CME231.5-

PO10

H Drawings are the communication tool of an engineer. With

the help of modern CAD tools drawings can be created and

can be easily communicate with others.

CME231.5-

PO12

H Lifelong learning is required for an engineer to get updated

in the usage of CAD tools for designing machine

components.

CME231.6-

PO1

H Knowledge in engineering fundamentals are engineering

drawing should be there for analysing and evaluating a

particular design

CME231.6-

PO3

M Analysis and evaluation of engineering drawing is necessary

for reaching into an optimal design solution.

CME231.4-

PO10

H Drawings are the communication tool of an engineer. With

the help of modern CAD tools, drawings can be created and

can be easily communicated, analysed and evaluated.




ADD-ON PROGRAMMES:

SNO DESCRIPTION DATES RELEVENCE

TO PO\PSO

1 Certification training in Autodesk Fusion 360 for ME

students at CAD Lab of DME, RSET in association

with BIMIT, Kochi.

27th

& 28th

July

2017, 26th

&

27th

Sep 2017,

6th

& 27th

Oct

2017, 10th

Nov 2017

PO3, PO5,

PSO3


CHALK & TALK ☐ STUD. ASSIGNMENT ☐ WEB

RESOURCES

LCD/SMART

BOARDS

☐ STUD.

SEMINARS

☐ ADD-ON COURSES

MAPPING LOW/MEDIUM/

HIGH

JUSTIFICATION

CME231.1-

PSO2

M Knowledge in Engineering drawing standards and

principles is required for designing engineering

components.

CME231.2-

PSO2

M While designing mechanisms or systems one should be

familiar with the machine components, joints, couplings

etc. to choose appropriate one for designing and to

develop new ideas in product design.

CME231.3-

PSO2

M For assembly of machine components and tosketch

assembled views of mechanical systems one should have

knowledge to apply design principles

CME231.4-

PSO2

M Fits and tolerance of machine components is an

important area to understand while designing mechanical

systems

CME231.5-

PSO2

M Students are using modern tools of their choice to design

machine components by applying design principles.

CME231.5-

PSO3

H Students are using modern tools of their choice to design

machine components.

CME231.6-

PSO2

H Ability to analyse and evaluate drawings and models will

results in development of ideas for new product designs.




☐ASSIGNMENTS ☐ STUD.

SEMINARS

TESTS/MODEL

EXAMS

☐ UNIV.

EXAMINATION

STUD. LAB

PRACTICES


PROJECTS

☐

CERTIFICATIONS

☐ ADD-ON

COURSES

☐ OTHERS


ASSESSMENT OF COURSE OUTCOMES

(BY FEEDBACK, ONCE)

STUDENT FEEDBACK ON FACULTY

(ONCE)



☐ OTHERS

10.2 COURSE PLAN

SESSION MODULE TOPIC PLANNED

1 0 and I

Introduction Principles of drawing, free hand sketching, manual

drawing, CAD drawing etc., Code of practice for Engineering

Drawing, BIS specifications – lines, types of lines, dimensioning,

sectional views

2 I Welding symbols, riveted joints, keys, fasteners –bolts, nuts, screws,

keys etc.

3 II Limits, Fits – Tolerances of individual dimensions – Specification of

Fits – basic principles of geometric & dimensional tolerances.

4 II Preparation of production drawings and reading of part and assembly

drawings, surface roughness, indication of surface roughness, etc.

5 III Introduction to drafting package: Introduction, input, output devices,

introduction to drafting software like Auto CAD, basic commands and

development of simple 2D and 3D drawings.

6 III Drawing, Editing, Dimensioning, Plotting Commands, Layering

Concepts, Matching, Detailing, Detailed drawings.

7 IV Flanged Coupling, Flexible Coupling and Oldham's Coupling

8 IV Connecting rod and Machine Vice

9 IV Stuffing box – Plummer block

10 IV Universal joint

11 IV Screw jack

12 IV Lathe Tailstock



13 IV Rams Bottom Safety Valve

14 IV Steam stop valve. Preparation of Bill of materials and tolerance data

sheet.


Module 1

1 Single Start and double start thread

Major Dia=20;

Minor dia = 16;

Pitch = 4

2 Right hand and Left hand screw threads

Major Dia=20;

Minor dia = 16;

Pitch = 4

3 British Standard With worth thread Pitch =25mm

4 British Association thread Pitch =25mm

5 American National Thread Pitch =30mm

6 I.S.O. Metric Thread Pitch =24mm

7 Square Thread Pitch =30mm

8 Acme Thread Pitch =30mm

9 Three views of a Hexagonal Nut M30

10 Three views of a Hexagonal Headed Bolt

M24

Thread length = 54mm

Length of bolt = 80mm

11 Three views of a square Headed Nut M24

12 Three views of a square Headed Bolt

M24

Total Length = 60mm

Thread Length = 36mm



13 Nut with a lock nut Take d=16

14 Nut with a spring washer Take d=16

15 Nut with a stop plate Take d=16

16 Nut with a Split Pin Take d=16

17 Slotted nut with a split pin Take d=16

18 Castle nut with a split pin Take d=16

19 Make a neat sectioned view of external I.S. recommended

Acme thread showing all its dimensions.

20

As per the design of a lathe a lead screw of 30mm pitch is

required, Make a neat sectioned view of external I.S

recommended Square thread showing all its dimensions.

21 Draw the sectional view of castle nut

22 Square butt weld of 6mm plates, welded from both sides

23 Single V butt weld of 10mm plates

24 Single bevel butt weld 10mm plates

25 Single V Butt weld with root face 2mm for joining 12 mm

plates



26 Single bevel butt weld with root face 2mm for joining

12mm plates

27

Single U Butt weld joining 25 mm plates

root face 3mm

depth of penetration 22mm

28 Single J Butt weld with root face 3mm joining 20 mm

plate

29

For the fabrication of a boiler two sheets of thickness

12mm are to be joined permanently. Select the best

method of joining and draw the sectioned elevation and

plan of the joint

30 10mm plates are welded together to form a T joint.

Represent the joint symbolically

31 How is spot weld is dimensioned

32

Prepare a welding drawing showing welding details as per

BIS for joining two 8mm plates to form a single V Butt

weld

33

Draw the dimensioned cross sectional view of the butt

weld welded under the following conditions for joining

two plates of thickness 4mm

a) Butt welded between raised edges melted completely

b) Butt welded with raised edge height of raised edge is

15mm and depth of penetration is 5mm

34 Lap joint formed by welding two plates of thickness 8

mm each, leg size of the fillet weld is 6mm

35

Draw to scale 1:2 the sectional front view and top view of

a double riveted chain lap joint for plates having 20 mm

thickness. Show all the dimensions. Draw at least 3 rivets

in a row. Use snap head rivet

36 Draw sectional elevation and plan of a double riveted lap

joint for joining plates of thickness 12 mm

37 Draw two views of a single riveted single strap butt joint.

Take thickness of plate 10mm



38

Two M.S plate of each thickness 12mm are to be butt

welded, Draw full size cross sectional view of single V-

butt weld with root face of 2mm. Take the depth of

penetration as 10 mm. Also represent them as per Bureau

of Indian Standards

39

Draw the plan and sectional elevation of a double riveted

double strap butt join. Thickness of plate 16 mm.

Thickness of cover plate 10mm. Diameter 24 mm

40

Draw a double riveted zigzag butt joint for 20mm plate

with proportionately thick double cover plates and rivets

of snap head. Show atleast three rivets in one row and two

rivets in the adjacent rows. Prepare the drawing as per

BIS.

41 Show the nomenclature of surface texture

42

Represent the surface texture symbol with all surface

texture characteristics. Explain what all characteristics are

represented in the symbol.

43

Compute the limit dimensions of the shaft and the hole

for a clearance fit based on hole basis system

Basic size of shaft = 30mm

Minimum clearance = 0.020 mm

Tolerance on the hole = 0.033mm

Tolerance on the shaft = 0.021mm

Represent the limit dimensions schematically

44

Dimensions of a hole and its mating shaft are given

below. According to the basic hole system hole

(27.500,27.575 mm) shaft (27.470, 27.445mm). Find the

values of hole tolerance , shaft tolerance, clearance,

Calculate the dimensions, represent schematically

45

Compute the limit dimensions of an interference fit on

hole basis system

Basic size of hole = 30mm

Minimum negative clearance = 0.001mm

Tolerance on the hole = 0.021mm

Tolerance on the shaft = 0.013mm

46

Compute limit dimensions of the shaft and the hole for a

clearance fit based on shaft basis system

Basic size = 30mm

Minimum clearance = 0.007mm



Tolerance on hole = 0.021mm

Tolerance on shaft = 0.21mm

47

A 30mm diameter hole is made on a turret lathe to the

limits, 30.035 and 30.00. The following two grades of

shafts are used to fit in the hole:

(a)φ29.955mm and 29.925mm, and (b) φ30.055mm and

30.050mm.

What type of tolerance system it is? Calculate the value of

hole and shaft tolerances, total tolerance, clearances and

indicate the type of fit in each case and represent the

dimensions schematically.

48 Define and sketch the three types of fits.

Module 4

49 Flanged Coupling

Front View Top Half in

Section,

Complete Left Side End

View.

50 Flexible Coupling


Section,

Complete Left Side End

View.

51 Oldham’s Coupling

Front View Full Section,

Top View.

End View from Right

52 Connecting rod

Front View Bottom Half in

Section,

End View from Left

53 Machine Vice

Front View Left Half in

Section

Top View



54 Stuffing box


Section,

End View from Left right Half

in Section

55 Plummer block


Section,

Complete Left Side End View

and

Top View.

56 Universal joint


Section,

Complete End View From

Right

57 Screw jack


Section,

Complete Top View.

58 Lathe Tailstock


Section,

Complete left end view

59 Rams Bottom Safety Valve

Front View Right Half in

Section

60 Steam stop valve

Front View Right Half in

Section,

Top View Top Half in

Section.


Mr.Jithin P. N. Dr.Thankachan T Pullan

(Faculty) (HOD)

CE 230 MATERIAL TESTING LAB S3 ME


11 CE 230: MATERIAL TESTING LAB



COURSE: MATERIAL TESTING LAB SEMESTER: S3 CREDITS: 1

COURSE CODE: CE 230

REGULATION: B Tech

COURSE TYPE: CORE

COURSE AREA/DOMAIN: STRENGTH

OF MATERIALS

CONTACT HOURS: 3


(IF ANY): NIL

LAB COURSE NAME: NIL

SYLLABUS:

CYCLE DETAILS HOURS

I

1. Torsion test on mild steel rods

2. Tension test on mild steel

3. Verification of Clerk Maxwell Theorem

4. Charpy Impact Test

5. Vicker’s Hardness test

6. Brinell and Rockwell Hardness tests

15

II

1. Torsion Pendulum (Mild steel, Aluminium, Brass wires)

2. Test on springs (Open and closed coiled)

3. Bending Test on wooden beams

4. Shear Test on mild steel rods

5. Izod Impact test

6. Fatigue test-Study of testing machine

15

TOTAL

HOURS 30



T1 Timoshenko S.P., Strength of Materials Part I, D. Van Nostrand Company, INC. New

York

T2 Bansal R.K., Strength of Materials, Lakshmi Publications, New Delhi



R1 Mott, Robert L., Applied Strength of Materials, Fifth Edition, Prentice Hall of India

R2 Popov, E.P., Engineering Mechanics of Solids, Prentice Hall of India, New Delhi

R3 Ramamrutham S., Strength of Materials, Sixteenth Edition, DhanpatRai Publishing

Company

R4 Bhavikatti S.S., Strength of Materials and Structural Engineering, Vikas Publishing House

Pvt. Ltd.

R5 Nash W. A., Strength of Materials, Schaum’s Outlines, 5th

Edition, TMH

R6 Geri, James M., Mechanics of Materials, Cengage Learning

R7 Shames I.H., Pitarresi, James. M., Introduction to Solid Mechanics, Prentice Hall of India

COURSE PRE-REQUISITES: NIL


ME 201 Mechanics of Solids mechanical properties of materials 3

COURSE OBJECTIVES:

1 To make the students understand various strength parameters of materials subjected to load

such as Tension, Compression, Flexure, Shear, Torsion, Impact & Hardness

2 To acquire knowledge on mechanical properties of materials such as various Elastic Moduli



COURSE OUTCOMES:

Sl. NO DESCRIPTION

Blooms’

Taxomomy

Level

C

CE230.

1

To determine the Modulus of Elasticity of steel and wood using UTM Knowledge

Level 5

C

CE230.

2

To verify Clerk- Maxwell’s Reciprocal Theorem and hence determine

the Modulus of elasticity of steel.

Knowledge

Level 5

C

CE230.

3

To determine the Modulus of rigidity of steel using torsion test, spring

test and torsion pendulum

Knowledge

Level 5

C

CE230.

4

To analyse the toughness of a specimen using Impact testing machine Analysis

Level 4

C

CE230.

5

To test the hardness of a material by Rockwell, Brinell and Vicker

Hardness test.

Analysis

Level 4

C

CE230.

6

To determine the ultimate shear stress of steel using UTM

Evaluate

Level 5


PO

1

P

O

2

P

O

3

P

O

4

P

O

5

P

O

6

P

O

7

P

O

8

P

O

9

P

O

10

P

O

11

P

O

12

PS

O

1

PS

O

2

PS

O

3

CCE230.

1 3 - - 3 - - - - - - - - - - -

CCE230.

2 3 - - 3 - - - - - - - - - - -

CCE230.

3 3 - - 3 - - - - - - - - - - -

CCE230.

4 3 - - 2 - - - - - - - - - - -

CCE230.

5 3 - - 2 - - - - - - - - - - -

CCE230.

6 3 - - 3 - - - - - - - - - - -





MAPPING LOW/MEDIUM/

HIGH JUSTIFICATION

CCE230.1-

PO1 3

The knowledge about material properties like modulus of

elasticity and how to determine them is of paramount

importance for a Mechanical engineer

CCE230.1-

PO4 3

Conducting experiments to determine material properties

provides an insight into the concepts behind the experiment

and how they were designed

CCE230.2-

PO1 3


elasticity and how to determine them is of paramount


CCE230.2-

PO4 3




CCE230.3-

PO1 3


rigidity and how to determine them is of paramount


CCE230.3-

PO4 3




CCE230.4-

PO1 3


CCE230.4-

PO4 2




CCE230.5-

PO1 3


CCE230.5-

PO4 2




CCE230.6-

PO1 3

The knowledge about material properties like shear strength

and how to determine them is of paramount importance for

a Mechanical engineer

CCE230.6-

PO4 3






JUSTIFATIONS FOR CO-PSO MAPPING

GAPS IN THE SYLLABUS - TO MEET INDUSTRY/PROFESSION REQUIREMENTS:

SI

NO DESCRIPTION

PROPOSED

ACTIONS

RELEVANCE

WITH POs

RELEVANCE

WITH PSOs

1 Tests on durability in stainless

steel

Experiment as

per ASTM

Standard

Tests on

durability in

stainless


1 http://nptel.ac.in/courses/Webcourse-contents/IIT-

ROORKEE/strength%20of%20materials/lects%20&%20picts/image/lect12/lecture12.htm

2 http://nptel.ac.in/courses/112107146/lects%20&%20picts/image/lect11/lecture11.htm

3 https://www.youtube.com/watch?v=qbv2rOEMyiA

4 https://www.youtube.com/watch?v=ICDZ5uLGrI4

5 https://www.youtube.com/watch?v=MlwwdyItf9A

6 https://www.youtube.com/watch?v=EXL1wgCb0jw


☑ CHALK & TALK ☐ STUD. ASSIGNMENT ☑ WEB RESOURCES

☐ LCD/SMART

BOARDS

☐ STUD. SEMINARS ☐ ADD-ON COURSES

MAPPING LOW/MEDIUM/H

IGH

JUSTIFICATION

CME367.1-

PSO1 3 Gives knowledge in Non-Destructive Testing

CME367.2-


CME367.3-

PSO1 2

Helps to apply knowledge gained in Non-Destructive

methods

CME367.4-


CME367.5-


CME367.5-

PSO2 2

Helps to analyse materials using Non-Destructive

methods




☐ ASSIGNMENTS ☐ STUD.

SEMINARS

☑ TESTS/MODEL

EXAMS

☑ UNIV.

EXAMINATION

☑ STUD. LAB

PRACTICES

☑ STUD. VIVA ☐ MINI/MAJOR

PROJECTS

☐

CERTIFICATIONS

☐ ADD-ON

COURSES

☐ OTHERS



(BY FEEDBACK, ONCE)


FACULTY (TWICE)


PROJECTS BY EXT. EXPERTS ☐ OTHERS

11.2 COURSE PLAN

SQUAD

DAY TOPICS PLANNED

CYCLE 1

1

1 2 3 4 5 6

Torsion test on mild steel rods

2 Tension test on mild steel

3 Verification of Clerk Maxwell

Theorem

4 Charpy Impact Test

5 Vicker’s Hardness test

6 Brinell and Rockwell Hardness

tests

CYCLE 2

1

7 8 9 10 11 12

Torsion Pendulum (Mild steel,

Aluminium, Brass wires)

2 Test on springs (Open and closed

coiled)

3 Bending Test on wooden beams

4 Shear Test on mild steel rods

5 Izod Impact test

6 Fatigue test-Study of testing

machine



OPEN QUESTIONS

Tension Test

1. Define Hooke’s Law.

2. What is stress?

3. What is strain?

4. What is deformation?

5. How is deformation calculated?

6. What is a Rigid Body?

7. What is a deformable solid?

8. Differentiate simple and compound stress.

9. What is stiffness?

10. Types of stresses.

11. Types of strains.

12. What is volumetric strain?

13. Differentiate Tensile Strain and Tensile stress.

14. Differentiate Compressive Strain and Compressive stress.

15. Differentiate Shear Strain and Shear stress.

16. What is factor of safety?

17. What is Ultimate strength?

18. What is working stress?

19. What is Yield Strength?

20. Define Stiffness of a helical spring.

21. Sketch the ‘nominal’ stress-strain curve and compare it with the actual stress-strain

curve?

22. What is meant by ‘strain hardening’?

23. Discuss the types of fracture in tension with suitable examples?

24. Why does sliding of ductile material during a tension test generally occur at an

inclination of 45° to the axis of the bar?

25. Determine the values of the principal stresses and the maximum shear stress at any point

in the test specimen, subjected to an axial tension of 500 kg.

26. Draw the schematic diagram of the experimental set-up.

27. What is Strain energy?

28. What is Resilience?



29. Define proof of resilience.

30. Define modulus of resilience.

Sping Test

1. Differentiate between closed and open coil helical spring

2. Define

a) Pitch b) Stiffness of spring c) Helix angle of a spring d) Modulus of Rigidity

3. What are the major stresses produced in helical springs?

Impact Test (Charpy&Izod)

1) What is the engineering significance of the impact test?

2) What is the significance of providing a notch for the test specimen?

3) Compare the position of the notch in relation to striking mass for Charpy and Izod tests.

Torsion Test

1. Explain torque.

2. What is Torsional force?

3. What is torsional rigidity?

4. Explain Radius of gyration.

5. What is Moment of inertia.

6. Explain Polar moment of inertia.

7. Why do we use a cylindrical specimen to conduct the torsion test?

8. Explain Torsion Equation

Hardness Tests

1. Discuss the merits and demerits of the Rockwell Hardness Test.

2. Discuss the typical applications of Rockwell Hardness scale.

3. Discuss the importance of hardness test.

4. What are the advantages of Vicker's Hardness test over Brinnel Hardness test and Rockwell

Hardness test?

Bending Test on Wooden Beam

1. Explain Bending Equation.

2. Draw Shear force diagram for a cantilever beam with udl and point load.

3. Draw Shear force diagram for a SSB with udl and point load.



4. What are SSB, Fixed Beams, Hinged Beams?

5. Explain the equilibrium condition for a body.

6. Types of beams.

7. What is Shear centre?

8. Explain elastic constants.

9. What is Poisson’s ratio?

10. Differentiate Longitudinal and Lateral Strain.

11. Relation between Bulk Modulus and Young’s modulus.

Verification of Clark Maxwell’s Reciprocal Theorem

1. Explain Clark Maxwell’s Reciprocal Theorem

2. Derive the deflection equation used in Clark Maxwell’s Reciprocal Theorem

Double Shear Test

1. Distinguish between single shear and double shear.

2. Give sketches showing single shear and double shear.

ADVANCE QUESTIONS

1. Why do we have to make the assumption that plane sections are plane?

2. What is non isotropic material?

3. What are nonlinear elastic materials?

4. Why is the variation of shear strain with radius linear?

5. What is combined bending and Torsion of a shaft?


BibinHezakiel V. Dr.Thankachan T Pullan

(Faculty, DCE) (HOD, DME)



Documents

Department of Mechanical Engineering · 2019-02-08 · Complex integration will help to simplify problems with high complexity in Engineering CMA201.3-PO 2 L Complex integration will