SlideShare a Scribd company logo
1 of 26
6 Shearing Stresses in Beams and Thin-Walled Members
Shearing Stresses in Beams and  Thin-Walled Members Introduction Shear on the Horizontal Face of a Beam Element Example 6.01 Determination of the Shearing Stress in a Beam Shearing Stresses   t xy  in Common Types of Beams Further Discussion of the Distribution of  Stresses in a ... Sample Problem 6.2 Longitudinal Shear on a Beam Element  of Arbitrary Shape Example 6.04 Shearing Stresses in Thin-Walled Members Plastic Deformations Sample Problem 6.3 Unsymmetric Loading of Thin-Walled Members Example 6.05 Example 6.06
Introduction ,[object Object],[object Object],[object Object],[object Object]
Shear on the Horizontal Face of a Beam Element ,[object Object],[object Object],[object Object],[object Object]
Shear on the Horizontal Face of a Beam Element ,[object Object],[object Object],[object Object]
Example 6.01 A beam is made of three planks, nailed together.  Knowing that the spacing between nails is 25 mm and that the vertical shear in the beam is  V  = 500 N, determine the shear force in each nail. ,[object Object],[object Object],[object Object]
Example 6.01 ,[object Object],[object Object],[object Object]
Determination of the Shearing Stress in a Beam ,[object Object],[object Object],[object Object]
Shearing Stresses   xy   in Common Types of Beams ,[object Object],[object Object]
Further Discussion of the Distribution of  Stresses in a Narrow Rectangular Beam ,[object Object],[object Object],[object Object],[object Object],[object Object]
Sample Problem 6.2 A timber beam is to support the three concentrated loads shown.  Knowing that for the grade of timber used, determine the minimum required depth  d  of the beam. ,[object Object],[object Object],[object Object],[object Object],[object Object]
Sample Problem 6.2 SOLUTION: Develop shear and bending moment diagrams.  Identify the maximums.
Sample Problem 6.2 ,[object Object],[object Object],[object Object]
Longitudinal Shear on a Beam Element  of Arbitrary Shape ,[object Object],[object Object],[object Object]
Example 6.04 A square box beam is constructed from four planks as shown.  Knowing that the spacing between nails is 1.5 in. and the beam is subjected to a vertical shear of magnitude  V  = 600 lb, determine the shearing force in each nail. ,[object Object],[object Object],[object Object]
Example 6.04 ,[object Object],[object Object],For the upper plank, For the overall beam cross-section, ,[object Object]
Shearing Stresses in Thin-Walled Members ,[object Object],[object Object],[object Object],[object Object],in the flanges in the web ,[object Object]
Shearing Stresses in Thin-Walled Members ,[object Object],[object Object],[object Object]
Shearing Stresses in Thin-Walled Members ,[object Object],[object Object]
Plastic Deformations ,[object Object],[object Object],[object Object],[object Object],[object Object]
Plastic Deformations ,[object Object],[object Object],[object Object],Therefore, the shear stress is zero in the plastic zone. ,[object Object]
Sample Problem 6.3 Knowing that the vertical shear is 50 kips in a W10x68 rolled-steel beam, determine the horizontal shearing stress in the top flange at the point  a . ,[object Object],[object Object],[object Object]
Unsymmetric Loading of Thin-Walled Members ,[object Object],[object Object]
Unsymmetric Loading of Thin-Walled Members ,[object Object],[object Object],[object Object]
Example 6.05 ,[object Object],[object Object],[object Object]
Example 6.06 ,[object Object],[object Object],[object Object]

More Related Content

What's hot

Chapter 4-internal loadings developed in structural members
Chapter 4-internal loadings developed in structural membersChapter 4-internal loadings developed in structural members
Chapter 4-internal loadings developed in structural membersISET NABEUL
 
Friction And Wedges
Friction And WedgesFriction And Wedges
Friction And Wedgesvinaykumars
 
STRENGTH OF MATERIALS for beginners
STRENGTH OF MATERIALS for  beginnersSTRENGTH OF MATERIALS for  beginners
STRENGTH OF MATERIALS for beginnersmusadoto
 
Structural Analysis 8th Edition Solutions Manual
Structural Analysis 8th Edition Solutions ManualStructural Analysis 8th Edition Solutions Manual
Structural Analysis 8th Edition Solutions ManualBahzad5
 
FLEXURAL STRESSES AND SHEAR STRESSES
FLEXURAL STRESSES AND SHEAR STRESSESFLEXURAL STRESSES AND SHEAR STRESSES
FLEXURAL STRESSES AND SHEAR STRESSESvempatishiva
 
Shear Force and Bending moment Diagram
Shear Force and Bending moment DiagramShear Force and Bending moment Diagram
Shear Force and Bending moment DiagramAshish Mishra
 
Shear Force and Bending Moment Diagram
Shear Force and Bending Moment DiagramShear Force and Bending Moment Diagram
Shear Force and Bending Moment DiagramAmos David
 
Ch06 07 pure bending & transverse shear
Ch06 07 pure bending & transverse shearCh06 07 pure bending & transverse shear
Ch06 07 pure bending & transverse shearDario Ch
 
Liquids in relative equilibrium
Liquids in relative equilibriumLiquids in relative equilibrium
Liquids in relative equilibriumphysics101
 
Portal and cantilever method
Portal and cantilever methodPortal and cantilever method
Portal and cantilever methodPrionath Roy
 
deflection of beam
deflection of beamdeflection of beam
deflection of beamKaran Patel
 

What's hot (20)

Chapter 4-internal loadings developed in structural members
Chapter 4-internal loadings developed in structural membersChapter 4-internal loadings developed in structural members
Chapter 4-internal loadings developed in structural members
 
Lecture no.1
Lecture no.1Lecture no.1
Lecture no.1
 
Bending stresses in beams
Bending stresses in beamsBending stresses in beams
Bending stresses in beams
 
Friction And Wedges
Friction And WedgesFriction And Wedges
Friction And Wedges
 
STRENGTH OF MATERIALS for beginners
STRENGTH OF MATERIALS for  beginnersSTRENGTH OF MATERIALS for  beginners
STRENGTH OF MATERIALS for beginners
 
Normal stress and strain
Normal stress and strainNormal stress and strain
Normal stress and strain
 
Sasoli1
Sasoli1Sasoli1
Sasoli1
 
Module 6 updated
Module 6 updatedModule 6 updated
Module 6 updated
 
Structural Analysis 8th Edition Solutions Manual
Structural Analysis 8th Edition Solutions ManualStructural Analysis 8th Edition Solutions Manual
Structural Analysis 8th Edition Solutions Manual
 
Maxwell diagram lec
Maxwell diagram lecMaxwell diagram lec
Maxwell diagram lec
 
FLEXURAL STRESSES AND SHEAR STRESSES
FLEXURAL STRESSES AND SHEAR STRESSESFLEXURAL STRESSES AND SHEAR STRESSES
FLEXURAL STRESSES AND SHEAR STRESSES
 
Shear Force and Bending moment Diagram
Shear Force and Bending moment DiagramShear Force and Bending moment Diagram
Shear Force and Bending moment Diagram
 
Shear Force and Bending Moment Diagram
Shear Force and Bending Moment DiagramShear Force and Bending Moment Diagram
Shear Force and Bending Moment Diagram
 
Deflection
DeflectionDeflection
Deflection
 
Hydrostatic forces on plane surfaces
Hydrostatic forces on plane surfacesHydrostatic forces on plane surfaces
Hydrostatic forces on plane surfaces
 
Ch06 07 pure bending & transverse shear
Ch06 07 pure bending & transverse shearCh06 07 pure bending & transverse shear
Ch06 07 pure bending & transverse shear
 
Liquids in relative equilibrium
Liquids in relative equilibriumLiquids in relative equilibrium
Liquids in relative equilibrium
 
Soluc porticos
Soluc porticosSoluc porticos
Soluc porticos
 
Portal and cantilever method
Portal and cantilever methodPortal and cantilever method
Portal and cantilever method
 
deflection of beam
deflection of beamdeflection of beam
deflection of beam
 

Similar to 6 shearing stresses

Shearing stress distribution_in_typical_cross
Shearing stress distribution_in_typical_crossShearing stress distribution_in_typical_cross
Shearing stress distribution_in_typical_crossMD RUKHASAR ALAM
 
Chapter-1 Concept of Stress and Strain.pdf
Chapter-1 Concept of Stress and Strain.pdfChapter-1 Concept of Stress and Strain.pdf
Chapter-1 Concept of Stress and Strain.pdfBereketAdugna
 
Lecture-6 (Flexural Formula).pptx
Lecture-6 (Flexural Formula).pptxLecture-6 (Flexural Formula).pptx
Lecture-6 (Flexural Formula).pptxMbaloch5
 
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
 
Chapter 7: Shear Stresses in Beams and Related Problems
Chapter 7: Shear Stresses in Beams and Related ProblemsChapter 7: Shear Stresses in Beams and Related Problems
Chapter 7: Shear Stresses in Beams and Related ProblemsMonark Sutariya
 
Module 1 Behaviour of RC beams in Shear and Torsion
Module 1   Behaviour of RC beams in Shear and TorsionModule 1   Behaviour of RC beams in Shear and Torsion
Module 1 Behaviour of RC beams in Shear and TorsionVVIETCIVIL
 
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
 
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
 
Shear and Bending Moment in Beams
Shear and Bending Moment in BeamsShear and Bending Moment in Beams
Shear and Bending Moment in BeamsAmr Hamed
 

Similar to 6 shearing stresses (20)

Shearing stress distribution_in_typical_cross
Shearing stress distribution_in_typical_crossShearing stress distribution_in_typical_cross
Shearing stress distribution_in_typical_cross
 
Mm210(4)
Mm210(4)Mm210(4)
Mm210(4)
 
5 beams
5 beams5 beams
5 beams
 
5 Beams[1]
5 Beams[1]5 Beams[1]
5 Beams[1]
 
Strength of materials
Strength of materialsStrength of materials
Strength of materials
 
14756171(1).ppt
14756171(1).ppt14756171(1).ppt
14756171(1).ppt
 
4 pure bending
4 pure bending4 pure bending
4 pure bending
 
Chapter-1 Concept of Stress and Strain.pdf
Chapter-1 Concept of Stress and Strain.pdfChapter-1 Concept of Stress and Strain.pdf
Chapter-1 Concept of Stress and Strain.pdf
 
Structures and Materials- Section 2 Tension
Structures and Materials- Section 2 TensionStructures and Materials- Section 2 Tension
Structures and Materials- Section 2 Tension
 
Mm210(2)
Mm210(2)Mm210(2)
Mm210(2)
 
Lecture-6 (Flexural Formula).pptx
Lecture-6 (Flexural Formula).pptxLecture-6 (Flexural Formula).pptx
Lecture-6 (Flexural Formula).pptx
 
2 axial loading
2 axial loading2 axial loading
2 axial loading
 
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
 
Deep beam
Deep beamDeep beam
Deep beam
 
Bending wikipedia
Bending   wikipediaBending   wikipedia
Bending wikipedia
 
Chapter 7: Shear Stresses in Beams and Related Problems
Chapter 7: Shear Stresses in Beams and Related ProblemsChapter 7: Shear Stresses in Beams and Related Problems
Chapter 7: Shear Stresses in Beams and Related Problems
 
Module 1 Behaviour of RC beams in Shear and Torsion
Module 1   Behaviour of RC beams in Shear and TorsionModule 1   Behaviour of RC beams in Shear and Torsion
Module 1 Behaviour of RC beams in Shear and Torsion
 
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
 
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
 
Shear and Bending Moment in Beams
Shear and Bending Moment in BeamsShear and Bending Moment in Beams
Shear and Bending Moment in Beams
 

More from Mohamed Yaser

7 habits of highly effective people
7 habits of highly effective people7 habits of highly effective people
7 habits of highly effective peopleMohamed Yaser
 
Us navy introduction to helicopter aerodynamics workbook cnatra p-401 [us n...
Us navy   introduction to helicopter aerodynamics workbook cnatra p-401 [us n...Us navy   introduction to helicopter aerodynamics workbook cnatra p-401 [us n...
Us navy introduction to helicopter aerodynamics workbook cnatra p-401 [us n...Mohamed Yaser
 
Aerodynamics of the helicopter 2
Aerodynamics of the helicopter 2Aerodynamics of the helicopter 2
Aerodynamics of the helicopter 2Mohamed Yaser
 
Seddon j. basic helicopter aerodynamics [bsp prof. books 1990]
Seddon j.   basic helicopter aerodynamics [bsp prof. books 1990]Seddon j.   basic helicopter aerodynamics [bsp prof. books 1990]
Seddon j. basic helicopter aerodynamics [bsp prof. books 1990]Mohamed Yaser
 
The 10 natural_laws_of_successful_time_and_life_management
The 10 natural_laws_of_successful_time_and_life_managementThe 10 natural_laws_of_successful_time_and_life_management
The 10 natural_laws_of_successful_time_and_life_managementMohamed Yaser
 
حياة بلا توتر
حياة بلا توترحياة بلا توتر
حياة بلا توترMohamed Yaser
 
¨قوة التفكير
¨قوة التفكير¨قوة التفكير
¨قوة التفكيرMohamed Yaser
 
المفاتيح العشرة للنجاح
المفاتيح العشرة للنجاحالمفاتيح العشرة للنجاح
المفاتيح العشرة للنجاحMohamed Yaser
 
أدارة الوقت
أدارة الوقتأدارة الوقت
أدارة الوقتMohamed Yaser
 
¨قوة التفكير
¨قوة التفكير¨قوة التفكير
¨قوة التفكيرMohamed Yaser
 
The 10 Natural Laws Of Successful Time And Life Management
The 10  Natural  Laws Of  Successful  Time And  Life  ManagementThe 10  Natural  Laws Of  Successful  Time And  Life  Management
The 10 Natural Laws Of Successful Time And Life ManagementMohamed Yaser
 
Theory Of Wing Sections
Theory  Of  Wing  SectionsTheory  Of  Wing  Sections
Theory Of Wing SectionsMohamed Yaser
 
Copy of book1 in c++
Copy of book1  in  c++Copy of book1  in  c++
Copy of book1 in c++Mohamed Yaser
 
structure for aerospace eng
structure for aerospace engstructure for aerospace eng
structure for aerospace engMohamed Yaser
 
realitivistic relativity 2.0
  realitivistic relativity 2.0  realitivistic relativity 2.0
realitivistic relativity 2.0Mohamed Yaser
 

More from Mohamed Yaser (20)

7 habits of highly effective people
7 habits of highly effective people7 habits of highly effective people
7 habits of highly effective people
 
Us navy introduction to helicopter aerodynamics workbook cnatra p-401 [us n...
Us navy   introduction to helicopter aerodynamics workbook cnatra p-401 [us n...Us navy   introduction to helicopter aerodynamics workbook cnatra p-401 [us n...
Us navy introduction to helicopter aerodynamics workbook cnatra p-401 [us n...
 
Aerodynamics of the helicopter 2
Aerodynamics of the helicopter 2Aerodynamics of the helicopter 2
Aerodynamics of the helicopter 2
 
Seddon j. basic helicopter aerodynamics [bsp prof. books 1990]
Seddon j.   basic helicopter aerodynamics [bsp prof. books 1990]Seddon j.   basic helicopter aerodynamics [bsp prof. books 1990]
Seddon j. basic helicopter aerodynamics [bsp prof. books 1990]
 
The 10 natural_laws_of_successful_time_and_life_management
The 10 natural_laws_of_successful_time_and_life_managementThe 10 natural_laws_of_successful_time_and_life_management
The 10 natural_laws_of_successful_time_and_life_management
 
حياة بلا توتر
حياة بلا توترحياة بلا توتر
حياة بلا توتر
 
فن التفاوض
فن التفاوضفن التفاوض
فن التفاوض
 
¨قوة التفكير
¨قوة التفكير¨قوة التفكير
¨قوة التفكير
 
المفاتيح العشرة للنجاح
المفاتيح العشرة للنجاحالمفاتيح العشرة للنجاح
المفاتيح العشرة للنجاح
 
أدارة الوقت
أدارة الوقتأدارة الوقت
أدارة الوقت
 
¨قوة التفكير
¨قوة التفكير¨قوة التفكير
¨قوة التفكير
 
The 10 Natural Laws Of Successful Time And Life Management
The 10  Natural  Laws Of  Successful  Time And  Life  ManagementThe 10  Natural  Laws Of  Successful  Time And  Life  Management
The 10 Natural Laws Of Successful Time And Life Management
 
Theory Of Wing Sections
Theory  Of  Wing  SectionsTheory  Of  Wing  Sections
Theory Of Wing Sections
 
F- 20
F- 20F- 20
F- 20
 
Copy of book1 in c++
Copy of book1  in  c++Copy of book1  in  c++
Copy of book1 in c++
 
structure for aerospace eng
structure for aerospace engstructure for aerospace eng
structure for aerospace eng
 
Tutorial 2
Tutorial     2Tutorial     2
Tutorial 2
 
Tutorial
TutorialTutorial
Tutorial
 
1
11
1
 
realitivistic relativity 2.0
  realitivistic relativity 2.0  realitivistic relativity 2.0
realitivistic relativity 2.0
 

6 shearing stresses

  • 1. 6 Shearing Stresses in Beams and Thin-Walled Members
  • 2. Shearing Stresses in Beams and Thin-Walled Members Introduction Shear on the Horizontal Face of a Beam Element Example 6.01 Determination of the Shearing Stress in a Beam Shearing Stresses t xy in Common Types of Beams Further Discussion of the Distribution of Stresses in a ... Sample Problem 6.2 Longitudinal Shear on a Beam Element of Arbitrary Shape Example 6.04 Shearing Stresses in Thin-Walled Members Plastic Deformations Sample Problem 6.3 Unsymmetric Loading of Thin-Walled Members Example 6.05 Example 6.06
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12. Sample Problem 6.2 SOLUTION: Develop shear and bending moment diagrams. Identify the maximums.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.