Bending Members under Loading - - - Click here for Composite Beams

 

 

Key Concepts:  Beams are structural elements that bend under applied loading such as

a diving board or an I-beam in housing construction.  The key assumption for this element

is that  plane sections normal to the centroidal axis of the beam before bending remain

plane after bending. 

 

 

 

In a Nut Shell:  Definition of a Bending Member (Beam)

 

A bending member is a straight beam with a symmetrical X-section where the length

of the beam is much larger than the dimensions of its X-section.  Also the beam is

loaded in pure bending (bending moment).   Click here to view a typical bending member.

 

 

Important areas for Analysis of Bending Members

 

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

applies to axial and torsional, structural members.

 

 

                                                        Bending Members

 

 

             Stresses

   Click here for discussion

        and  key equations

 

 

              Strains

   Click here for discussion

        and  key equations

 

 

            Deformations

   Click here for discussion

        and  key equations

 

 

 

 

                                               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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