Advance Mechanics of Solid

Lovely Professional University, Punjab Course Code

Course Title

Course Planner

Lectures

MEC204

ADVANCED MECHANICS OF SOLIDS

13412::Aditya Veer Gautam

Course Category

Courses with Numerical focus

Tutorials Practicals Credits

4.0

1.0

0.0

TextBooks Sr No

Title

Author

Edition

T-1

Engineering Mechanics of solids

E.P. Popov

2nd

Year

Publisher Name Pearson

Reference Books Sr No

Title

Author

Edition

R-1

Mechanics of Materials

R.C. Hibbeler

8th

R-2

Mechanics of solids

Beer & Johnson

6th

R-3

Advanced Mechanics of Materials

Boresi, A.P., and Sidebottom O.M

5th

R-4

Advanced Mechanics of Materials

Srinath, L.S

3rd

R-5

Advanced Mechanics of Solid

Otto T Bruhns

1st

Year

Publisher Name Prentice Hall

2012

Tata McGraw Hill John Wiley & Sons

2008

Tata McGraw Hill Springer

LTP week distribution: (LTP Weeks) Weeks before MTE

7

Weeks After MTE

6

Spill Over

2

Detailed Plan For Lectures Week Number

Lecture Number

Broad Topic(Sub Topic)

Chapters/Sections of Text/reference Text/reference books

Week 1

Lecture 1

Torsion(Review of Basics)

T-1:Ch- 6/Sec-6.16.2 &amp ;amp; 6.8

Other Readings, Relevant Websites, Audio Visual Aids, software and Virtual Labs

Lect Lectur uree Desc Descri ript ptio ion n

Lear Learni ning ng Outc Outcom omes es

REvision of torsion from REvision Mechanics of Solids

Peda Pedago gogi gica call Too Tooll Demonstration/ Case Study / Images /  animation / ppt etc. Planned Image

5.0

Week 1

Week 2

Lecture 2

Torsion(Review of Basics)

T-1:Ch- 6/Sec-6.16.2 &amp ;amp; 6.8

REvision of torsion from REvision Mechanics of Solids

Image

Lecture 3

Torsion(Review of Basics)

T-1:Ch- 6/Sec-6.16.2 &amp ;amp; 6.8

REvision of torsion from REvision Mechanics of Solids

Image

Lecture 4

Torsion(Review of Basics)

T-1:Ch- 6/Sec-6.16.2 &amp ;amp; 6.8

REvision of torsion from REvision Mechanics of Solids

Image

Lecture 5 Lecture 6

Torsion(Shearing stress and deformations in inelastic range)

T-1:Ch- 6/Sec-6.13

Derivation

introduction to inelastic Slide Show range

Torsion(Thin walled hollow members)

T-1:Ch- 6/Sec-6.16

Derivation

introduction to thin walled hollow member

Torsion(Shaft couplings)

T-1:Ch- 6/Sec-6.12

Derivation

use of shaft coupling

Torsion(Torsion of non-circular members)

T-1:Ch- 6/Sec-6.14

Derivation

application of torsion to members which are not circular in nature

Lecture 8

Torsion(Torsion of non-circular members)

T-1:Ch- 6/Sec-6.14

Derivation

application of torsion to members which are not circular in nature

Lecture 10

Pre ssure Vesse l(Thick- Wa lle d Pressure vessels)

T-1:Ch- 5/Sec-5.11

Derivation

Introduction to pressure Slide Show vessel

Lecture 11

Pressure Vessel(Thick-Walled T-1:Ch- 5/Sec-5.12 Pressure vessel Solution to General Problem Static Equilibrium)

Derivation

Introduction to pressure vessel

Lecture 12

Pressure Vessel(Thick-Walled T-1:Ch- 5/Sec-5.12 Pressure vessel Solution to General Problem Static Equilibrium)

Derivation

Introduction to pressure vessel

Lecture 9

Pressure Vessel(Thin walled pressure Vessels)

T-1:Ch- 5/Sec-5.9

Derivation

Introduction to pressure Slide Show vessel

Lecture 13

Pressure Vessel(Geometric Compatibility and Properties of  Material)

T-1:Ch- 5/Sec-5.13

Derivation

Introduction to pressure vessel

Lecture 14

Thick Walled Pressure Vessel (Remarks on thin disc problem)

R-3:Ch 11/Sec-11.7

Derivation

stress and strain analysis in rotating disc

Lecture 15

Thick Walled Pressure Vessel (Special Cases of thick vessels)

T-1:Ch- 5/Sec-5.13

only internal pressure cases

Lecture 7

Wee k 3

Week 4

Test 1

Slide Show

Slide Show

Week 4

Lecture 16

Thick Walled Pressure Vessel (Thick-Walled Pressure vessel Solution to General Problem (differential equation and its solution))

T-1:Ch- 5/Sec-5.12

Introduction to pressure vessel

Week 5

Lecture 17

Bending of Beams(Review)

T-1:Ch- 8/Sec-8.18.5

revision of concepts of  bending of beams

Lecture 18

Bending of Beams(Review)

T-1:Ch- 8/Sec-8.18.5

revision of concepts of  bending of beams

Lecture 19

Bending of Beams(Review)

T-1:Ch- 8/Sec-8.18.5

revision of concepts of  bending of beams

Lecture 20 Wee k 6

Wee k 7

Test 2

Lecture 21

Bending of Be ams (Elas tic strain energy in pure bending)

T-1:Ch- 8/Sec-8.7

Derivation

use of energy equation in beams

Lecture 22

Bending of Beams(Elastic strain energy in pure bending)

T-1:Ch- 8/Sec-8.7

Derivation

use of energy equation in beams

Lecture 23

Bending of Beams(Elastic strain energy in pure bending)

T-1:Ch- 8/Sec-8.7

Derivation

use of energy equation in beams

Bending of Beams continue (Inelastic bending of beams)

T-1:Ch- 8/Sec-8.8

application of equation for beams in inelastic region

Lecture 24

Bending of Beams continue (Inelastic bending of beams)

T-1:Ch- 8/Sec-8.8

application of equation for beams in inelastic region

Lecture 25

Bending of Be ams continue(Beams of two material)

T-1:Ch- 8/Sec-8.9

derivation

how to solve the problem of composites beams

Slide Show

Lecture 26

Bending of Beams continue(Beams of two material)

T-1:Ch- 8/Sec-8.9

derivation

how to solve the problem of composites beams

Slide Show

Lecture 27

Bending of Beams continue (Curved Beams)

T-1:Ch- 8/Sec-8.10

conceptual Slide Show understanding of curved beams and its comparison with straight beams

Lecture 28

Bending of Beams continue (Curved Beams)

T-1:Ch- 8/Sec-8.10

conceptual Slide Show understanding of curved beams and its comparison with straight beams

MID-TERM Week 8

Lecture 29

Shearing Stress in Beam (Introduction)

T-1:Ch- 10/Sec-10.110.2

revision of shear stress in beams

Wee k 8

Lecture 29

Shearing Stress in Bea m(Shea r flow)

Lecture 30

Shearing Stress in Beam(The T-1:Ch- 10/Sec-10.4 shearing stress formula for Beams) Shearing Stress in Beam(Warpage of plane sections due to shear)

Lecture 31

Lecture 32

Wee k 9

Lecture 33

T-1:Ch- 10/Sec-10.3

Week 11

Slide Show

Derivation

T-1:Ch- 10/Sec-10.5

Introduction to warpage phenomenon

Shearing Stress in Beam T-1:Ch- 10/Sec-10.6 (Limitations of the shearing stress)

drawbacks of shearing stress formula

Shearing Stress in Beam(Shear stress in beam flanges)

T-1:Ch- 10/Sec-10.7

shearing stress in flanges

Shearing Stress in Beam(Shear centre)

T-1:Ch- 10/Sec-10.8

Concept of shear centre

Shearing Stress in Beam (Combined direct and torsional shear stress)

T-1:Ch- 10/Sec-10.9

application of direct and indirect stress

Spring(Stresse s in close ly coiled Helical Springs)

T-1:Ch10/Sec-10.10

Derivation

Stress in spring

Spring(Deflection of Closely Coiled Helical Springs)

T-1:Ch10/Sec-10.11

Derivation

Strain in spring

Lecture 34

Wee k 10

concept of shear flow

Slide Show

Test 3

Lecture 35

Spring(Yield and Fracture criteria)

T-1:Ch- 12/Sec-12.1

Derivation

Introduction to failure criteria

Lecture 36

Theories of Failure(Maximum shear stress theory)

T-1:Ch- 12/Sec-12.2

Derivation

application of different Slide Show theories of failure

Lecture 37

Theorie s of Fa ilure(Maximum distortion energy theory)

T-1:Ch- 12/Sec-12.3

application of different Slide Show theories of failure

Theories of Failure(Comparison of  T-1:Ch- 12/Sec-12.4 maximum shear and distortion energy theories for plane stress)

application of different Slide Show theories of failure

Lecture 38

Theories of Failure(Maximum normal stress theory)

T-1:Ch- 12/Sec-12.5

application of different Slide Show theories of failure

Lecture 39

Plate Theory(Bending of thin plates)

R-3:Ch13/Sec-13.1

Lecture 40

Plate Theory(Assumptions of plate theory)

R-3:Ch13/Sec-13.1

Lecture 41

Plate Theory(GDE for deflection of plates)

R-3:Ch13/Sec-13.4 R-5:Ch 8/Sec 8.3.1

Derivation

analysis of plates under Slide Show forces

Lecture 42

Plate Theory(Boundary conditions)

R-3:Ch13/Sec-13.7

Derivation

analysis of plates under Slide Show forces

Lecture 43

Plate Theory(Solutions for rectangular plates)

R-3:Ch13/Sec-13.8

Derivation

analysis of plates under forces

Plate Theory(Navier's and Levy's

R 3 Ch13/S

D i

13 8

Derivation

analysis of plates under forces analysis of plates under Slide Show forces

i

l i

f l

d

Week 11

Week 12

Week 13

Lecture 44

Plate Theory(Navier's and Levy's solutions)

R-3:Ch13/Sec-13.8

Derivation

analysis of plates under forces

Plate Theory(Solutions for rectangular plates)

R-3:Ch13/Sec-13.8

Derivation

analysis of plates under forces

Lecture 45

Plate Theory(Circular plates)

R-3:Ch13/Sec-13.9

Derivation

analysis of plates under forces

Lecture 46

Plate Theory(Membrane theory of  shells of revolution and cylindrical shells)

Lecture 47

The Energy Methods(Introduction) T-1:Ch- 17/Sec-17.1

Derivation

energy within the material under different conditions

The Energy Methods(Elastic Strain T-1:Ch- 17/Sec-17.2 energy for uniaxial stress)

Derivation

energy within the Slide Show material under different conditions

The Energy Methods(Elastic Strain T-1:Ch- 17/Sec-17.2 energy)

Derivation

energy within the Slide Show material under different conditions

The Energy Methods(Elastic strain T-1:Ch- 17/Sec-17.2 energy in pure bending)

Derivation

energy within the material under different conditions

R-5:Ch8/Sec-8.4

Introduction to shell theory

The Energy Methods(Elastic strain T-1:Ch- 17/Sec-17.2 energy for Shearing Stresses)

energy within the material under different conditions

Lecture 48

The Energy Methods T-1:Ch- 17/Sec-17.3 (Displacements by conservation of  Energy)

use of energy methods to solve problem

Lecture 49

The Energy Methods(Virtual work  T-1:Ch- 17/Sec-17.4 Principle)

use of energy methods to solve problem

The Energy Methods(Virtual work  T-1:Ch- 17/Sec-17.4 method)

use of energy methods to solve problem

The Energy Methods(Virtual work  T-1:Ch- 17/Sec-17.5 method for deflections)

use of energy methods to solve problem

Slide Show

The Energy Methods(Virtual work  T-1:Ch- 17/Sec-17.6 equations for elastic systems)

use of energy methods to solve problem

Slide Show

Lecture 51

The Energy Methods(Virtual displacements for equilibrium)

T-1:Ch- 17/Sec-17.8

use of energy methods to solve problem

Slide Show

Lecture 52

The Energy Methods(Virtual displacements for equilibrium)

T-1:Ch- 17/Sec-17.8

use of energy methods to solve problem

Slide Show

Lecture 50

SPILL OVER Week 14

Lecture 53

R-5:Ch8/Sec-8.4

Lecture 54

R-3:Ch- 13/Sec-13 8

Membrane theory of   shells of revolution and cylindrical shells More insight Naviers and Levys

Scheme for CA: Component

Frequency

Test

Out Of 2

Each Marks Total Marks 3

Total :-

10

20

10

20

Details of Academic Task(s) AT No.

Objective

Topic of the Academic Task

Nature of Academic Task (group/individuals/field work

Evaluation Mode

Allottment /  submission Week

Test 1

To do the revision of  A set of problems are to be given in order to do the revision of  Individual basic required for solid mechanics course which is a prerequisite of the course. This Advanced level will almost cover the entire syllabus

marks scored

2/3

Test 2

To test analytical skill

Numerical test based on topic covered so far i.e Torsion,Pressure Individual Vessel,Bending of beams

marks scored

5/5

Test 3

To test analytical skill

Numerical test based on topic covered so far i.e Spring , Failure Theory , Columns

marks scored

9/9

Individual

Plan for Tutorial: (Please do not use these time slots for syllabus coverage) Tutorial No.

Lecture Topic

Type of pedagogical tool(s) planned (case analysis,problem solving test,role play,business game etc)

Tutorial 1

Torsion

Problem solving

Tutorial 2

Thin walled hollow members,Shearing stress and deformations in inelastic range

Problem solving

Tutorial 3

Numerical on Thin- Walled Pressure vessels

Problem solving

Tutorial 4

Numerical on Thin- Walled Pressure vesselscontinue

Problem solving

Tutorial 5

Numerical on Thick- Walled Pressure vessels

Problem solving

Tutorial 6

Numerical on Thick- Walled Pressure vessels continue Problem solving

Tutorial 7

Bending Of Beams

Problem solving

Tutorial 8

Shearing Stress in Beam

Problem solving

Tutorial 9

Spring

Problem solving

Tutorial 10

Theories of Failure

Problem solving

After Mid-Term

Tutorial 12

Plate Theory continue

Problem solving

Tutorial 13

The Energy Methods

Problem solving