Faculty of Engineering & Technology, SRM University, Kattankulathur - 603203 School of Mechanical Engineering

Department of Mechanical Engineering Course plan

Course code : ME0204 Date : 20.12.2013

Course title : Mechanics of Solids

Semester : IV Academic year / : 2013-'14/ Even

Semester :(Jan 2014 - May 2014)

Faculty details: Section Class Details of Faculty member

room No Name Room No. Intercom

No.

e-mail id

(@ktr.srmuniv.ac

.in)

Student·

contact

time

MECH -A H301B Mr. A. Vinoth MED10l/A 1812 vinoth.a

12:4Spm­1:30pm

-

MECH - B H302F Mr. K.Sairam MED101/A 1812 sairam.k

MECH - C H302B Mr.M.Balaji MEB104/G - balaji.m

MECH - D H303F Mr.R.Harris Samuel MEB30S .1803 harrissamuel.r

MECH - E H303B Mr.M.Kamaraj MEB30S 1803 kamaraj.m

MECH - F H306 Mr.S.Ravi Krishnamoorthy MEM12 1827 ravikrishnamoorthy.s

MECH -G H307 Mr.Narashimarao H312 - narasimharao.p

MECH - H H308 Mr. J.Santhakumar MECl01 - santhakumar.j

MECH -I H309 Mr.S.Arokya Augustin MEB104/C - arokyaagustin.s

MECH -J H310 Mr. S. Kolli Balasivarama Reddy

MEH109 1824 balasivarama.s

Direct assessment details: Name of

assessment

Marks Topics Tentative date Duration

Cycle test - I 10 Concept of Stress and Strain, Analysis

of Beams

07-02-2014 100 minutes

Surprise test 05 Bending stresses, Shear stresses Third week of February

15 minutes

Cycle test - II 10 Torsion of shafts, deflection of beams 07-03-2014 100 minutes

Model examination

20 Entire Syllabus 17-04-2014 3 hours

End semester examination

50 Entire Syllabus 23-05-2014 3 hours

Attendance 05 N/A

L C

ME0204

T P

Mechanics of Solids 4

Prerequisite

Nil

Student outcomes

3 2 0

Program Educational Objectives

The main objective of B.Tech in Mechanical Engineering Program is to provide a periodically

updated curriculum so that, following the completion of the program and with a few years of

experience, our alumni will have the expertise to

1.Practice

mechanical

Engineering in

different disciplines

towards system

design, realization

and manufacturing

2. Enhance

professional

practice to meet

the global

standards with

ethical and social

responsibility.

3. Solve

industrial, social,

and

environmental

problems with

modern

engineering

tools.

4. Develop skills to work

in teams, think

intellectually and pursue

life-long learning.

(a) an ability to apply

knowledge of mathematics,

science, and engineering

X X

(e) an ability to

formulate, and

engineering problems

identify,

solve

X X

Course designed by Departmentof Mechanical Engineering

1 Student outcome a b c d e f g h i j K

x x

2 Category GENERAL

(G)

BASIC SCIENCES

(B)

ENGINEERING SCIENCES

AND TECHNICAL ART (E)

PROFESSIONAL SUBJECTS ­

(P)

-

X

3 Broad area Manufacturing Design Thermal Genaral

(for professional

courses only, i.e 'under

P' category)

X

4 Course Coordinator Mr.M.KAMARAJ

ME0204 MECHANICS OF SOLIDS 3/2/0/4

PURPOSE

To familiarize the students with the fundamentals of deformation, stresses, strains in structural elements.

INSTRUCTIONAL OBJECTIVES Students will be able to

-Know the concepts of stress and strain -Analyze the beam of different cross sections for shear force, bending moment, slope and deflection -Understand the concepts necessary to design the structural elements and pressure vessels

CONCEPT OF STRESSES AND STRAINS

Concept of stress and strain, Hooke's law - Tension, Compression, and Shear, stress-strain diagram - Poisson's

ratio, elastic constants and their relationship - Deformation of simple and compound bars - Thermal stresses.

Principal plane, principal stress, maximum shearing stress - Uniaxial, biaxial state of stress - Mohr's circle for

plane stresses.

ANALYSIS OF BEAMS

Beams: Types and Transverse loadings - shear force and bending moment diagrams for cantilevers, simply

supported and over hanging beams. Theory of pure bending: Bending stresses in simple and composite beams.

Shear stress distribution in beams of different sections.

TORSION OF SHAFTS AND SPRINGS

Theory of pure torsion, torsion of circular shafts, simple problems - Type of springs, stiffness, springs in series,

springs in parallel, stresses and deflections in helical sprin~s and leaf springs - Design of helical springs and leaf

springs.

DEflECTION OF BEAMS

Slope and deflection of cantilever, simply supported, fixed beam by double integration method - Macauley's

method - Moment area method - Strain energy method - Castigliano's theorem.

COLUMN AND STRUTS

Member subjected to combined bending and axial loads, Euler's theory, Crippling load, Rankine's theory. Cylinders

And Shells - Thin cylinder, thin spherical shells under internal pressure - Thick cylinders - Lame's equation ­

Shrink fit and compound cylinders.

SESSION PLAN

Session CONTENTS

Text / Ref.

No. book

CONCEPT OF STRESSES AND STRAINS

1 Concept of stress and strain, Hooke's law - Tension, compression

and shear, stress - strain diagram. Tl, Ch-l

2 Poisson's ratio, elastic constants and their relationship. Tl, Ch- 2

3 Tutorial- stress strain diagram, volumetric strain. Tl, Ch- 2

4 Analysis of bars of uniform and varying sections subjected to single

load and varying loads. Tl, Ch-l

5 Analysis of bars of composite sections. Tl, Ch-l

6 Tutorial on Analysis of composite bars. Tl, Ch-l

7 Thermal stresses - concepts and problems. Tl, Ch-l

8 Thermal stresses in composite bars - problems. Tl, Ch-l

9 Principal plane, principal stress-Analytical method, direct stress in

one plane-Simple problems. Tl,Ch-3

10 Direct stress in two mutually perpendicular directions, maximum

shearing stress-Simple problems. Tl,Ch-3

11 Mohr's circle -two mutually perpendicular principal stresses of

unequal stress intensities. Tl,Ch-3

12 Tutorial on Mohr's circle of any construction condition. Tl,Ch-3

ANALYSIS OF BEAMS

13 Types of beams, Transverse loadings-Point load, uniformly

distributed load (UDL) and uniformly varying load (UVL). Tl, Ch- 6

14 Shear force and bending moment diagrams for cantilever beam ­

problems.(pure point load, pure UDL, pure UVL) Tl, Ch- 6

15 Shear force and bending moment diagrams for cantilever beam.

Tutorial on Combined loading. Tl, Ch- 6

16 Shear force and bending moment diagrams for simply supported

beam -problems. (pure point load, pure UDL, pure UVL) Tl,Ch-6

17 Shear force and bending moment diagrams for simply supported

beam. Tutorial on Combined loading. Tl, Ch- 6

18 Shear force and bending moment diagrams for overhanging beam ­

problems. (pure point load, pure UDL, pure UVL) Tl, Ch- 6

19 Theory of pure bending - derivation. Tl,Ch-7

20 Bending stress in simple beams -problems. Tl, Ch- 7

21 Bending stress in composite beams - Problems with symmetrical

sections. Tl, Ch- 7

22 Bending stress in composite beams - Problems with unsymmetrical

sections. Tl,Ch-7

Shear stress distribution in beams of different sections­23

derivation. Tl,Ch-8

24 Tutorial on Shear stress distribution in beams of different sections. Tl, Ch- 8

TORSION OF SHAFTS AND SPRINGS

25 Theory of pure torsion, torsion equation derivation. Tl,Ch-16

26 Strength, stiffness of shaft and Torsional rigidity. Tl,Ch-16

27 Shear Stresses in shaft. Tl,Ch-16

28 Tutorial- percentage of weight saving problems in shaft. Tl,Ch-16

29 Torsion of hollow shaft - finding dimensions, problem on

percentage of material saving problems in shaft. Tl,Ch-16

30 Type of springs, stiffness of springs (series and parallel

arrangement) . T2, Ch- 8

31 Stresses and deflection in helical springs-problems. T2, Ch- 8

32 Design of Helical springs (cam and follower and engine valves) T2,Ch-8

33 Tutorial - helical springs. T2, Ch- 8

34 Stress and deflection in leaf springs-problems T2, Ch- 9

35 Design of leaf springs - nipping, camber. T2, Ch- 9

36 Design of leaf springs - problems. T2, Ch- 9

DEFLECTIOI\l OF BEAMS

37 Relationship between deflection, slope, shear force and bending

moment. T1, Ch-12

38 Slope and deflection of cantilever beam by Double integration

method - problems. T1, Ch-12

39 Slope and deflection of simply supported beam by Double

integration method ­ problems. T1, Ch- 13

40 Slope and deflection of fixed beam by Double integration method ­

concepts. T1, Ch-13

41 Comparison of Double integration method with Macauley's

method. T1, Ch-12

42 Slope and deflection of simply supported beam by Macauley's

method ­ problems. T1, Ch-12

43 Slope and deflection evaluation using Moment area method ­

concepts. T1, Ch-13

44 Slope and deflection of cantilever beam by Moment area method ­

problems. T1, Ch-13

45 Tutorial - Slope and deflection of simply supported beam by

Moment area method. T1, Ch-13

46 Slope and deflection of cantilever and simply supported beam by

Strain energy method - concepts. T3, Ch- 10

47 Slope and deflection of simply supported beam by Strain energy

method ­ problems. T3, Ch-10

48 Tutorial - Slope and deflection of fixed beam by Strain energy

method. 13, Ch-10

49 Castiglia no's theorem. T3, Ch-lO

COLUMNS AND STRUTS

50 Members subjected to combined bending and axial loads. Tl, Ch-l9

51 Euler's column theory ­ assumptions, limitations. Tl, Ch-l9 :

.i

52 Expression for crippling load with different end conditions. Tl, Ch-l9

53 Rankine's theory -problems. Tl, Ch- 19

54 Tutorial- crippling load. Tl, Ch-19

55 Thin cylindrical vessel subjected to internal pressure. Tl, Ch-17

56 Change in dimensions due to internal pressure- problems. Tl,Ch-17

57 Thin spherical shells subjected internal pressure- problems. Tl, Ch-.17

58 Tutorial - Thin cylinders. Tl,Ch-17

59 Stresses in Thick cylinders -Lame's theory. Tl, Ch-18

60 Stresses in compound thick cylinder. Tl, Ch-18

61 Tutorial - Thick cylinders. Tl,Ch-18

TEXT BOOKS: 1 Bansal, R.K., A Text Book of Strength of Materials, Lakshmi Publications Pvt. Limited, New Delhi, 1996

2. Prabhu, TJ., Design of machine elements, Private Publication, 1999

3. Ferdinand P.Beer, and Rusell Johnston, E., Mechanics of Materials, SI Metric Edition, McGraw Hill,

1992

REFERENCE BOOKS 1. William A. Nash, Theory and Problems of Strength of Materials, Schaum's Outline Series, McGraw Hill

International Edition, 3rd Edition, 1994

2. Srinath, L. S., Advanced Mechanics of Solids, Tata McGraw Hill Publishing Company Ltd., New Delhi,

1987

3. Popov, E. P., Mechanics of Materials, 2nd edition, Prentice Hall of India Private Limited, New Delhi,

1989

4. James IVI. Gere, Mechanics of Materials Fifth Edition, Brooks/Cole, USA, 2001

5. Shigley, J. E., Applied Mechanics of Materials, International Student Edition, McGraw Hill Koyakusha

Limited,2000

6. Maitra, Handbook of Machine Design, Tata McGraw Hill, New Delhi, 1986

7. Design Data, PSG College of Technology

Name and Signature Faculty:

Section l\lame

A Mr. A. Vinoth

B Mr. K.Sairam

C

D

Mr.M.Balaji

Mr.R.Harris Samuel

E

F

G

Mr.M.Kamaraj

Mr.S.Ravi Krishnamoorthy

Mr.Narashimarao

H Mr. lSanthakumar

J

Mr.S.Arokya Augustin

Mr. S. Kolli Balasivarama Reddy

~~~ H~~ I Mechanical

1/~