Torsion Members under Loading - - Click here for a Gear Train Application

 

 

Key Concepts:  A torsion member, such as a rod subjected to a torque, will twist resulting

in a shear stress, shear strain, and rotational deformation.

 

 

In a Nutshell:  A torsion member is generally long in axial direction (i.e the x-direction),

straight, and has a constant (or mildly tapered) cross-section.  It may  be subjected to one or

more torques and/or a distributed torque along its axis.   The cross-section (generally circular

or  near so) of the torsion member will have a centroid.   The x-axis of the torsion member

is assumed to lie along the centroid of each cross-section.  Click here to view a typical

torsion member.

 

 

Important areas for Analysis of Torsion Members

 

The chart below details the topics important to the analysis of torsion members.  A similar chart

applies to axial and bending structural members.

 

 

                                                        Torsion Members

 

 

             Stresses

   Click here for discussion

   key equations, examples

 

 

              Strains

   Click here for discussion

   key equations, examples

 

 

           Deformations

   Click here for discussion

   key equations, examples

 

 

 

 

                                               Material Response

 

 

        Linearly Elastic Model

     Click here for discussion

           and key equations

 

        Elastic-Plastic Model

     Click here for discussion

         and key equations

 

 

 

                                               Applications

 

 

         Statically Determinate

      Click here for discussion
             and examples

 

 

     Statically Indeterminate

   Click here for discussion
           and examples

          

 

 



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