Lecture Plan 2252

FORMAT LP/00/16.04.2009

LECTURE PLAN

Date: 10. 12. 10

Page 1 of 6Sub Code & Name : CE 2252 - STRENGTH OF MATERIALS

Branch: CIVIL Semester : IV

SYALLABUS No. of Hours

UNIT I – ENERGY PRINCIPLES 9+3

Strain energy and strain energy density – strain energy in traction, shear in flexure and torsion – castigliano’s theorems – principle of virtual work – application of energy theorems for computing deflections in beams and trusses – Maxwell’s reciprocal theorems

UNIT II - INDETERMINATE BEAMS 9+3

Propped cantilever and fixed beams-fixed end moments and reactions for concentrated load (central, non central), uniformly distributed load, triangular load (maximum at centre and maximum at end) – theorem of three moments – analysis of continuous beams – shear force and bending moment diagrams for continuous beams – slope & deflections in continuous beams (qualitative study only)

UNIT III - COLUMNS 9+3

Eccentrically loaded short columns – middle third rule – core section – columns of unsymmetrical sections – (angle channel sections) – Euler’s theory of long columns – critical loads for prismatic columns with different end conditions; Rankine-Gordon formula for eccentrically loaded columns – thick cylinders – compound cylinders.

UNIT IV - STATE OF STRESS IN THREE DIMENSIONS 9+3

Spherical and deviatory components of stress tensor - determination of principal stresses and principal planes – volumetric strain – dilatation and distortion – theories of failure – principal stress dilatation – principal strain – shear stress – strain energy and distortion energy theories – application in analysis of stress, load carrying capacity and design of members – residual stresses

UNIT V - ADVANCED TOPICS IN BENDING OF BEAMS 9+3

Unsymmetrical bending of beams of symmetrical and unsymmetrical sections – curved beams – Winkler Bach formula – stress concentration – fatigue and fracture.

Total No. of hours as per syllabus : 45 + 15 = 60

Total No. of hours available as per calendar : 48

Units I II III IV V

HoursProposed 10 10 10 10 08

Actual

Previous Year Target Value for Current YearPass % 75 90Highest Mark A SClass Average 69.5% 75%

Name and Signature of the Faculty: Dr. Binu Sukumar

FORMAT LP/00/16.04.2009

LECTURE PLAN

Date: 10. 12. 10


Unit: II Branch: CIVIL Semester : IV

Session No.

Topics to be covered Ref

1Introduction to strength of materials - Indeterminate beams- propped cantilever beams and fixed beams

1,2,3

2Deflection at any point of a propped cantilever beam subjected to various typed of loading. BMD and SFD

1,2,3

3Analysis of a propped cantilever beam subjected to various typed of loading. BMD and SFD

1,2,3

4Fixed beams – fixed end moments for various types of loading- SFD and BMD- Deflection under various loads and maximum deflection

1,2,3

5Fixed beams – fixed end moments for various types of loading- SFD and BMD- with sinking of supports

1,2,3

6Analysis of Continuous beam – Clapeyron’s theorem of three moments- SFD and BMD for all standard cases of loading

1,2,3

7Analysis of Continuous beam – simply supported at both ends- problems on SFD and BMD.

1,2,3

8 Continuous beams with sinking of supports –BMD and SFD1,2,3

9 Numerical examples on continuous beam for SFD and BMD1,2,3

10Analysis of Continuous beam – fixed at both ends- problems on SFD and BMD.

1,2,3

TOTAL PERIODS : 10

PROPOSED DATE OF COMPLETION : 30. 12. 10

DEVIATION (IF ANY) : NIL

CORRECTIVE MEASURES : NIL

REFERENCES / WEBSITES:

1. Rajput R.K. Strength of Materials, S.Chand&company Ltd., New Delhi - 2006

2. Punmia B.C.Theory of Structures (SMTS) Vol 1&II, Laxmi publishing Pvt Ltd,New Delhi – 2004

3. Egor P Popov, “Engineering Mechanics of Solids”, Prentice Hall of India, New Delhi, 2003

4. Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co., New Delhi, 2003

5. Junarkar S.B, “Mechanics of Structures- Vol.I Tata McGraw-Hill Publishing Co., New Delhi,

1998

SIGNATURE OF THE FACULTY SIGNATURE OF HOD

FORMAT LP/00/16.04.2009

LECTURE PLAN

Date: 10. 12. 10


Unit: III Branch: CIVIL Semester : IV

Session No.


11Columns- Long columns and short columns – structural behavior of long columns and short columns on external loading.

1,2,3

12 Eccentrically loaded short columns- uniaxial and biaxial bending.1,2,3

13Core or kernel of the section – Middle third rule- Stress due to uniaxial and biaxial bending –numerical examples

1,2,3

14Long Column- Structural behavior- Euler’s column theory- assumptions – derivation of crippling load with different end conditions.

1,2,3

15 Effective length of column with different end conditions- slenderness ratio - Rankine theory- derivation of the formula

1,2,3

16 Comparison between Rankine and Euler’s column load- limitations of Euler’s column theory - Eccentrically loaded long columns.

1,2,3

17 Problems on eccentrically loaded long columns. RAnkine – Gordon formula for eccentrically loaded long columns.

1,2,3

18 Thick cylinders – Lame’s theory –design of thick cylindrical shells1,2,3

19Compound cylinders – numerical examples on thick and compound cylinders - Numerical Examples on thick cylinders and compound cylinders

1,2,3

20 Shrink fitting in compound cylinders – Difference in radii.1,2,3

TOTAL PERIODS : 10









FORMAT LP/00/16.04.2009

LECTURE PLAN

Date: 10. 12. 10


Unit: I Branch: CIVIL Semester : IV

Session No.


21Energy principles – strain energy stored due to axial tension or compression. Strain energy stored due to gradually applied , suddenly applied and impact loads

1,2,5

22Problems on strain energy due to gradually applied load, suddenly applied load and impact load.

1,2,5

23Strain Energy stored due to shear, torsion and bending. Numerical examples to find SE stored due to bending, shear and torsion

1,2,5

24 Derivations for Strain energy stored sue to shear, torsion and bending. 1,2,525 Problems to find deflections in beams using strain energy principle. 1,2,526 Strain Energy and Complimentary Strain Energy. Different energy

methods – Castigliano’s I and II theorems. Application of Energy theorems- deflections and rotations

1,2,5

27 Deflections and rotations – applications of Castigliano’s theorem 1,2,5

28Deflections in truss joints – horizontal and vertical – application of energy theorems

1,2,5

29 Maxwell’s reciprocal theorem.- deflections 1,2,530 Principles of virtual work – numerical examples 1,2,5

TOTAL PERIODS : 10










1998


FORMAT LP/00/16.04.2009

LECTURE PLAN

Date: 10. 12. 10


Unit: IV Branch: CIVIL Semester : IV

Session No.


31State of stress in three dimensions – spherical and deviatoric components of stress tensor

1,2,3

32 Dilatation and distortion – volumetric strain- strain tensor 1,2,3

33Principal stress and principal strain- determination of principal stress and its direction.

1,2,3

34 Problems on principal stress and its direction.1,2,3

35Theories of failure- Principal stress theory (Rankine theory), Principal strain theory (St. Venant’s theory)

1,2,3

36Strain energy theory, Distortion energy theory, Shear stress theory of failure

1,2,3

37 Problems on theories of failure1,2,3

38 Numerical examples on the application of failure theories 1,2,3

39 Analysis of stress- load carrying capacity and design of members.1,2,3

40 Interaction problems and interaction curves.1,2,3

TOTAL PERIODS : 10










1998


FORMAT LP/00/16.04.2009

LECTURE PLAN

Date: 10. 12. 10


Unit: V Branch: CIVIL Semester : IV

Session No.


41Advanced topics in bending of beams- unsymmetrical bending of beams with symmetrical sections

3,4

42Unsymmetrical bending of beams with un symmetrical sections. Numerical examples.

3,4

43 Shear centre. Location of shear centre of various sections3,4

44 Numerical examples on unsymmetrical bending and on shear centre.3,4

45Curved beams – Winkler –Bach theory – assumptions – formula

3,4

46Numerical examples on curved beams

3,4

47Tutorial – Advanced topics in bending

3,4

48 Residual stress- stress concentration 3,4

49 St. Venant’s principle on stress concentration.3,4

50 Fatigue and fracture3,4

TOTAL PERIODS : 08










1998

FORMAT LP/00/16.04.2009


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Lecture Plan 2252