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  2. Chapter 6: Torsion
  3. M6.2: Torsion Theory for Circular Sections
Table of Contents  
  • Define Torsion Member
  • Table of Contents
  • Pure Torsion
  • Characteristics of Torsion
  • Angle of Twist Illustrated
  • Absence of Warping
  • Investigate Deformation
  • State of Pure Shear
  • Shear Strain Relates to φ
  • Linear Variation of Shear Strain
  • Linear Variation of Shear Stress
  • Shear Stress Surfaces
  • Moment dM Developed on dA
  • Setup the Integral of dM Over the Area A
  • Relating Torque and Stress
  • Torsion Formula
  • J for Solid Circular Shape
  • J for Hollow Circular Shape
  • Angle of Twist Formula
  • Summary of Key Equations
  • Finished
scene 2 of 21

This movie is organized in 21 scenes.

  • Scene 1:Define Torsion Member.
  • Scene 2:Table of Contents.
  • Scene 3:Define What is Meant By the Term "Pure Torsion".
  • Scene 4:Discuss Some Characteristics of Torsion In a Circular Prismatic Shaft.
  • Scene 5:Illustrate What is Meant By the Term "Angle of Twist".
  • Scene 6:Discuss the Absence of Warping for Shafts Having Circular Cross Sections.
  • Scene 7:Consider a Typical Point On the Outermost Surface Of a Shaft.
  • Scene 8:Stress Element on Shaft Surface is In a State of "Pure Shear".
  • Scene 9:Develop the Relationship Between Shear Strain and Angle of Twist.
  • Scene 10:Show the Linear Variation of Shear Strain With Radial Distance.
  • Scene 11:Show the Linear Variation of Shear Stress With Radial Distance.
  • Scene 12:Show Shear Stress Acting On the Surfaces Of a Stress Element For the Shaft.
  • Scene 13:Differential Moment dM Developed on Cross-Sectional Area dA.
  • Scene 14:Integration of dM Over the Entire Cross Section.
  • Scene 15:Relating Torque to Shear Stress.
  • Scene 16:Torsion Formula.
  • Scene 17:Polar Moment of Inertia For a Solid Circular Cross Section.
  • Scene 18:Polar Moment of Inertia For a Hollow Circular Cross Section.
  • Scene 19:Angle of Twist Formula.
  • Scene 20:Summary of Key Equations.
  • Scene 21:End of Movie.

To skip directly to a particular scene, select it from drop down menu above.

 

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