SlideShare a Scribd company logo
1 of 68
ME16A: CHAPTER THREE BENDING MOMENTS AND SHEARING FORCES IN BEAMS
3.1  BEAM ,[object Object]
3.1.1          TYPES OF BEAMS  ,[object Object],[object Object],[object Object]
Types of Beams
TYPES OF BEAMS ,[object Object],[object Object],[object Object]
3.1    TYPES OF LOADS : ,[object Object],[object Object],[object Object]
TYPES OF LOADS CONTD. ,[object Object],[object Object],[object Object]
3.1    SHEAR FORCES AND BENDING MOMENTS ,[object Object],[object Object]
SHEAR FORCES AND BENDING MOMENTS CONTD. ,[object Object],[object Object],[object Object]
SHEAR FORCES AND BENDING MOMENTS CONTD. ,[object Object],[object Object],[object Object]
Shear Force V and Bending Moment, M in a Beam
Shear Force and Bending Moment ,[object Object],[object Object]
Sign Convention
SIGN CONVENTION CONTD. ,[object Object],[object Object]
3.1    RELATIONSHIPS BETWEEN LOADS, SHEAR FORCES, AND BENDING MOMENTS ,[object Object]
RELATIONSHIPS CONTD. ,[object Object],[object Object],[object Object]
ELEMENTS OF A BEAM
RELATIONSHIPS CONTD. ,[object Object]
RELATIONSHIPS CONTD. ,[object Object],[object Object],[object Object]
(a)  Distributed Loads
(a)  Distributed Loads Contd.
Distributed Loads Contd.
Distributed Loads Contd. ,[object Object],[object Object]
(b) Concentrated Loads (Figure 3.4 b)
Example ,[object Object]
Solution
3.5    SHEAR FORCE AND BENDING MOMENT DIAGRAMS ,[object Object]
Example ,[object Object],5 kN 2.5 kN 2.5 kN 2 m 2 m x x x x
Solution
Solution Contd.
Shear Force and Bending Moment Diagrams
Simpler Method
Example  ,[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object]
Solution Contd.
Diagrams
Example
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Solution Contd.
Shear Force & Bending Moment Diagrams
3.1    BENDING STRESSES IN BEAMS  (FOR PURE BENDING) ,[object Object],[object Object],[object Object]
Assumptions in Simple Bending Theory ,[object Object],[object Object],[object Object],[object Object],[object Object]
Assumptions in Simple Bending Theory Contd. ,[object Object],[object Object]
Assumptions in Simple Bending Contd. ,[object Object],[object Object]
Theory of Simple Bending ,[object Object],[object Object],[object Object],[object Object],[object Object]
Theory of Bending
Theory of Simple Bending ,[object Object]
Theory of Simple Bending
Theory of Simple Bending Contd.
Theory of Simple Bending Contd.
Simple Bending:  Calculation of Stress
Simple Bending: Compression and Tension Zones
Non-Uniform Bending ,[object Object],[object Object]
Non-Uniform Bending Contd. ,[object Object],[object Object]
Example
Solution
Solution Concluded
Example
Solution
Solution Contd.
Solution Concluded
4.8.    BENDING OF BEAMS OF TWO MATERIALS   ,[object Object]
Bending of Beams of Two Materials
Beams of Two Materials Contd.
Beams of Two Materials Concluded
Example
Solution
Solution Concluded

More Related Content

What's hot

Engineering Science(1)
Engineering Science(1)Engineering Science(1)
Engineering Science(1)Jude Jay
 
Bending Moment Diagrams (BMD) & it's application
Bending Moment Diagrams (BMD) & it's applicationBending Moment Diagrams (BMD) & it's application
Bending Moment Diagrams (BMD) & it's applicationSelf employed
 
Some useful techniques for solving shear force and bending moment diagrams.bilal
Some useful techniques for solving shear force and bending moment diagrams.bilalSome useful techniques for solving shear force and bending moment diagrams.bilal
Some useful techniques for solving shear force and bending moment diagrams.bilalMuhammad Bilal
 
Forces acting on the beam with shear force & bending moment
Forces acting on the beam with shear force & bending momentForces acting on the beam with shear force & bending moment
Forces acting on the beam with shear force & bending momentTaral Soliya
 
6161103 7.2 shear and moment equations and diagrams
6161103 7.2 shear and moment equations and diagrams6161103 7.2 shear and moment equations and diagrams
6161103 7.2 shear and moment equations and diagramsetcenterrbru
 
Chapter 5: Axial Force, Shear, and Bending Moment
Chapter 5: Axial Force, Shear, and Bending MomentChapter 5: Axial Force, Shear, and Bending Moment
Chapter 5: Axial Force, Shear, and Bending MomentMonark Sutariya
 
Shear And Moment Diagrams
Shear And Moment DiagramsShear And Moment Diagrams
Shear And Moment DiagramsAmr Hamed
 
Trusses Joints
Trusses JointsTrusses Joints
Trusses JointsAmr Hamed
 
SFD & BMD Shear Force & Bending Moment Diagram
SFD & BMD Shear Force & Bending Moment DiagramSFD & BMD Shear Force & Bending Moment Diagram
SFD & BMD Shear Force & Bending Moment DiagramSanjay Kumawat
 
Bending stresses in beams
Bending stresses in beams Bending stresses in beams
Bending stresses in beams JISHNU V
 
Shear stresses on beam (MECHANICS OF SOLIDS)
Shear stresses on beam (MECHANICS OF SOLIDS)Shear stresses on beam (MECHANICS OF SOLIDS)
Shear stresses on beam (MECHANICS OF SOLIDS)Er.Navazhushen Patel
 
Module 3 SFD &BMD PART-1
Module 3 SFD &BMD PART-1Module 3 SFD &BMD PART-1
Module 3 SFD &BMD PART-1Akash Bharti
 
Bending stresses and shear stresses
Bending stresses and shear stressesBending stresses and shear stresses
Bending stresses and shear stressessumitt6_25730773
 

What's hot (18)

Engineering Science(1)
Engineering Science(1)Engineering Science(1)
Engineering Science(1)
 
Bending Moment Diagrams (BMD) & it's application
Bending Moment Diagrams (BMD) & it's applicationBending Moment Diagrams (BMD) & it's application
Bending Moment Diagrams (BMD) & it's application
 
Chapter05
Chapter05Chapter05
Chapter05
 
Some useful techniques for solving shear force and bending moment diagrams.bilal
Some useful techniques for solving shear force and bending moment diagrams.bilalSome useful techniques for solving shear force and bending moment diagrams.bilal
Some useful techniques for solving shear force and bending moment diagrams.bilal
 
Forces acting on the beam with shear force & bending moment
Forces acting on the beam with shear force & bending momentForces acting on the beam with shear force & bending moment
Forces acting on the beam with shear force & bending moment
 
6161103 7.2 shear and moment equations and diagrams
6161103 7.2 shear and moment equations and diagrams6161103 7.2 shear and moment equations and diagrams
6161103 7.2 shear and moment equations and diagrams
 
Chapter 5: Axial Force, Shear, and Bending Moment
Chapter 5: Axial Force, Shear, and Bending MomentChapter 5: Axial Force, Shear, and Bending Moment
Chapter 5: Axial Force, Shear, and Bending Moment
 
Shear And Moment Diagrams
Shear And Moment DiagramsShear And Moment Diagrams
Shear And Moment Diagrams
 
Trusses Joints
Trusses JointsTrusses Joints
Trusses Joints
 
SFD & BMD Shear Force & Bending Moment Diagram
SFD & BMD Shear Force & Bending Moment DiagramSFD & BMD Shear Force & Bending Moment Diagram
SFD & BMD Shear Force & Bending Moment Diagram
 
simply supported beams
simply supported beamssimply supported beams
simply supported beams
 
Bending stresses in beams
Bending stresses in beams Bending stresses in beams
Bending stresses in beams
 
Shear stresses on beam (MECHANICS OF SOLIDS)
Shear stresses on beam (MECHANICS OF SOLIDS)Shear stresses on beam (MECHANICS OF SOLIDS)
Shear stresses on beam (MECHANICS OF SOLIDS)
 
SFD & BMD
SFD & BMDSFD & BMD
SFD & BMD
 
Module 3 SFD &BMD PART-1
Module 3 SFD &BMD PART-1Module 3 SFD &BMD PART-1
Module 3 SFD &BMD PART-1
 
Bending stresses and shear stresses
Bending stresses and shear stressesBending stresses and shear stresses
Bending stresses and shear stresses
 
Chapter 17(leaf springs)
Chapter 17(leaf springs)Chapter 17(leaf springs)
Chapter 17(leaf springs)
 
Deflection
DeflectionDeflection
Deflection
 

Viewers also liked

7 stress transformations
7 stress transformations7 stress transformations
7 stress transformationsMohamed Yaser
 
Ch11 casting process Erdi Karaçal Mechanical Engineer University of Gaziantep
Ch11 casting process Erdi Karaçal Mechanical Engineer University of GaziantepCh11 casting process Erdi Karaçal Mechanical Engineer University of Gaziantep
Ch11 casting process Erdi Karaçal Mechanical Engineer University of GaziantepErdi Karaçal
 
3 torsion- Mechanics of Materials - 4th - Beer
3 torsion- Mechanics of Materials - 4th - Beer3 torsion- Mechanics of Materials - 4th - Beer
3 torsion- Mechanics of Materials - 4th - BeerNhan Tran
 
Groover fundamentals-modern-manufacturing-4th-solution-manuel
Groover fundamentals-modern-manufacturing-4th-solution-manuelGroover fundamentals-modern-manufacturing-4th-solution-manuel
Groover fundamentals-modern-manufacturing-4th-solution-manuelIISc Bangalore
 
types of stress and strain
types of stress and straintypes of stress and strain
types of stress and strainHome
 
Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)
Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)
Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)Pawnpac
 
8 principal stresses
8 principal stresses8 principal stresses
8 principal stressesMohamed Yaser
 
Engineering mechanics statics j.l.meriam-l.g.kraige-solution manual (5th ed)
Engineering mechanics statics j.l.meriam-l.g.kraige-solution manual (5th ed)Engineering mechanics statics j.l.meriam-l.g.kraige-solution manual (5th ed)
Engineering mechanics statics j.l.meriam-l.g.kraige-solution manual (5th ed)Yunus Polat
 

Viewers also liked (11)

7 stress transformations
7 stress transformations7 stress transformations
7 stress transformations
 
Shearing&BearingMEC32
Shearing&BearingMEC32Shearing&BearingMEC32
Shearing&BearingMEC32
 
Shearing (1)
Shearing (1)Shearing (1)
Shearing (1)
 
Ch11 casting process Erdi Karaçal Mechanical Engineer University of Gaziantep
Ch11 casting process Erdi Karaçal Mechanical Engineer University of GaziantepCh11 casting process Erdi Karaçal Mechanical Engineer University of Gaziantep
Ch11 casting process Erdi Karaçal Mechanical Engineer University of Gaziantep
 
3 torsion- Mechanics of Materials - 4th - Beer
3 torsion- Mechanics of Materials - 4th - Beer3 torsion- Mechanics of Materials - 4th - Beer
3 torsion- Mechanics of Materials - 4th - Beer
 
Groover fundamentals-modern-manufacturing-4th-solution-manuel
Groover fundamentals-modern-manufacturing-4th-solution-manuelGroover fundamentals-modern-manufacturing-4th-solution-manuel
Groover fundamentals-modern-manufacturing-4th-solution-manuel
 
types of stress and strain
types of stress and straintypes of stress and strain
types of stress and strain
 
Bearing stress
Bearing stressBearing stress
Bearing stress
 
Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)
Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)
Mechanics of materials solution manual (3 rd ed , by beer, johnston, & dewolf)
 
8 principal stresses
8 principal stresses8 principal stresses
8 principal stresses
 
Engineering mechanics statics j.l.meriam-l.g.kraige-solution manual (5th ed)
Engineering mechanics statics j.l.meriam-l.g.kraige-solution manual (5th ed)Engineering mechanics statics j.l.meriam-l.g.kraige-solution manual (5th ed)
Engineering mechanics statics j.l.meriam-l.g.kraige-solution manual (5th ed)
 

Similar to B Ending Moments And Shearing Forces In Beams2

Module 4 flexural stresses- theory of bending
Module 4 flexural stresses- theory of bendingModule 4 flexural stresses- theory of bending
Module 4 flexural stresses- theory of bendingAkash Bharti
 
Presentation on bending moment.10.01.03.010
Presentation on bending moment.10.01.03.010Presentation on bending moment.10.01.03.010
Presentation on bending moment.10.01.03.010Nayeem Akhter Himel
 
Presentation on bending moment.10.01.03.010
Presentation on bending moment.10.01.03.010Presentation on bending moment.10.01.03.010
Presentation on bending moment.10.01.03.010Nayeem Akhter Himel
 
module 3 (Mechanics)
module 3 (Mechanics)module 3 (Mechanics)
module 3 (Mechanics)Nexus
 
FEM of Beams.pptx
FEM of Beams.pptxFEM of Beams.pptx
FEM of Beams.pptxwondimu8
 
Module-4 Notes.pdf
Module-4 Notes.pdfModule-4 Notes.pdf
Module-4 Notes.pdfatasubhani1
 
Shear force & Bending Moment
Shear force & Bending MomentShear force & Bending Moment
Shear force & Bending MomentAbhijeet Pabale
 
chapter 3 Ext..pdf
chapter 3 Ext..pdfchapter 3 Ext..pdf
chapter 3 Ext..pdfabdum6611
 
Chapter 6: Pure Bending and Bending with Axial Forces
Chapter 6: Pure Bending and Bending with Axial ForcesChapter 6: Pure Bending and Bending with Axial Forces
Chapter 6: Pure Bending and Bending with Axial ForcesMonark Sutariya
 
6- Internal Forces.pdf
6- Internal Forces.pdf6- Internal Forces.pdf
6- Internal Forces.pdfYusfarijerjis
 
Young's modulus by single cantilever method
Young's modulus by single cantilever methodYoung's modulus by single cantilever method
Young's modulus by single cantilever methodPraveen Vaidya
 
Torsion of circular shafts
Torsion of circular shaftsTorsion of circular shafts
Torsion of circular shaftsMayur Ekhande
 

Similar to B Ending Moments And Shearing Forces In Beams2 (20)

Module 4 flexural stresses- theory of bending
Module 4 flexural stresses- theory of bendingModule 4 flexural stresses- theory of bending
Module 4 flexural stresses- theory of bending
 
Presentation on bending moment.10.01.03.010
Presentation on bending moment.10.01.03.010Presentation on bending moment.10.01.03.010
Presentation on bending moment.10.01.03.010
 
Presentation on bending moment.10.01.03.010
Presentation on bending moment.10.01.03.010Presentation on bending moment.10.01.03.010
Presentation on bending moment.10.01.03.010
 
module 3 (Mechanics)
module 3 (Mechanics)module 3 (Mechanics)
module 3 (Mechanics)
 
FEM of Beams.pptx
FEM of Beams.pptxFEM of Beams.pptx
FEM of Beams.pptx
 
Module-4 Notes.pdf
Module-4 Notes.pdfModule-4 Notes.pdf
Module-4 Notes.pdf
 
Shear force & Bending Moment
Shear force & Bending MomentShear force & Bending Moment
Shear force & Bending Moment
 
chapter 3 Ext..pdf
chapter 3 Ext..pdfchapter 3 Ext..pdf
chapter 3 Ext..pdf
 
Mm210(6b)
Mm210(6b)Mm210(6b)
Mm210(6b)
 
14756171(1).ppt
14756171(1).ppt14756171(1).ppt
14756171(1).ppt
 
Mm210(7)
Mm210(7)Mm210(7)
Mm210(7)
 
Mm210(5a)
Mm210(5a)Mm210(5a)
Mm210(5a)
 
Mos unit ii
Mos unit iiMos unit ii
Mos unit ii
 
Mos unit ii
Mos unit iiMos unit ii
Mos unit ii
 
Chapter 6: Pure Bending and Bending with Axial Forces
Chapter 6: Pure Bending and Bending with Axial ForcesChapter 6: Pure Bending and Bending with Axial Forces
Chapter 6: Pure Bending and Bending with Axial Forces
 
6- Internal Forces.pdf
6- Internal Forces.pdf6- Internal Forces.pdf
6- Internal Forces.pdf
 
Bending moment stress
Bending moment stressBending moment stress
Bending moment stress
 
Unit 6: Bending and shear Stresses in beams
Unit 6: Bending and shear Stresses in beamsUnit 6: Bending and shear Stresses in beams
Unit 6: Bending and shear Stresses in beams
 
Young's modulus by single cantilever method
Young's modulus by single cantilever methodYoung's modulus by single cantilever method
Young's modulus by single cantilever method
 
Torsion of circular shafts
Torsion of circular shaftsTorsion of circular shafts
Torsion of circular shafts
 

More from Amr Hamed

B Ending Moments And Shearing Forces In Beams2
B Ending Moments And Shearing Forces In Beams2B Ending Moments And Shearing Forces In Beams2
B Ending Moments And Shearing Forces In Beams2Amr Hamed
 
Trusses Method Of Sections
Trusses  Method Of  SectionsTrusses  Method Of  Sections
Trusses Method Of SectionsAmr Hamed
 
Trusses Intro
Trusses IntroTrusses Intro
Trusses IntroAmr Hamed
 
Trusses Frame Machines Analysis
Trusses Frame Machines AnalysisTrusses Frame Machines Analysis
Trusses Frame Machines AnalysisAmr Hamed
 
Trusses The Method Of Sections
Trusses  The Method Of SectionsTrusses  The Method Of Sections
Trusses The Method Of SectionsAmr Hamed
 
Trusses Analysis Of Statically Determinate
Trusses Analysis Of Statically DeterminateTrusses Analysis Of Statically Determinate
Trusses Analysis Of Statically DeterminateAmr Hamed
 
Trusses Sections
Trusses SectionsTrusses Sections
Trusses SectionsAmr Hamed
 
Shear Force And Bending Moment In Beams22
Shear Force And Bending Moment In Beams22Shear Force And Bending Moment In Beams22
Shear Force And Bending Moment In Beams22Amr Hamed
 
Lecture 20 (Sfd And Bmd)
Lecture 20 (Sfd And Bmd)Lecture 20 (Sfd And Bmd)
Lecture 20 (Sfd And Bmd)Amr Hamed
 
Shear Force And Bending Moment Diagram For Frames
Shear Force And Bending Moment Diagram For FramesShear Force And Bending Moment Diagram For Frames
Shear Force And Bending Moment Diagram For FramesAmr Hamed
 
Shear Force And Bending Moment Diagram For Beams
Shear Force And Bending Moment Diagram For BeamsShear Force And Bending Moment Diagram For Beams
Shear Force And Bending Moment Diagram For BeamsAmr Hamed
 
Shear and Bending Moment in Beams
Shear and Bending Moment in BeamsShear and Bending Moment in Beams
Shear and Bending Moment in BeamsAmr Hamed
 

More from Amr Hamed (15)

B Ending Moments And Shearing Forces In Beams2
B Ending Moments And Shearing Forces In Beams2B Ending Moments And Shearing Forces In Beams2
B Ending Moments And Shearing Forces In Beams2
 
Wk1 2 Beams
Wk1 2 BeamsWk1 2 Beams
Wk1 2 Beams
 
Trusses Method Of Sections
Trusses  Method Of  SectionsTrusses  Method Of  Sections
Trusses Method Of Sections
 
Trusses Intro
Trusses IntroTrusses Intro
Trusses Intro
 
Trusses Frame Machines Analysis
Trusses Frame Machines AnalysisTrusses Frame Machines Analysis
Trusses Frame Machines Analysis
 
Trusses The Method Of Sections
Trusses  The Method Of SectionsTrusses  The Method Of Sections
Trusses The Method Of Sections
 
Trusses Analysis Of Statically Determinate
Trusses Analysis Of Statically DeterminateTrusses Analysis Of Statically Determinate
Trusses Analysis Of Statically Determinate
 
Trusses
TrussesTrusses
Trusses
 
Trusses Sections
Trusses SectionsTrusses Sections
Trusses Sections
 
Shear Force And Bending Moment In Beams22
Shear Force And Bending Moment In Beams22Shear Force And Bending Moment In Beams22
Shear Force And Bending Moment In Beams22
 
5 Beams[1]
5 Beams[1]5 Beams[1]
5 Beams[1]
 
Lecture 20 (Sfd And Bmd)
Lecture 20 (Sfd And Bmd)Lecture 20 (Sfd And Bmd)
Lecture 20 (Sfd And Bmd)
 
Shear Force And Bending Moment Diagram For Frames
Shear Force And Bending Moment Diagram For FramesShear Force And Bending Moment Diagram For Frames
Shear Force And Bending Moment Diagram For Frames
 
Shear Force And Bending Moment Diagram For Beams
Shear Force And Bending Moment Diagram For BeamsShear Force And Bending Moment Diagram For Beams
Shear Force And Bending Moment Diagram For Beams
 
Shear and Bending Moment in Beams
Shear and Bending Moment in BeamsShear and Bending Moment in Beams
Shear and Bending Moment in Beams
 

B Ending Moments And Shearing Forces In Beams2