Internal Forces in Beams

 

 

Key Concept:  A beam is a structural member that can support transverse shear, V,

torsion, T, and bending moments, M, in addition to axial forces, P.

 

 

In a Nut Shell:  Beams are common structural members used extensively in construction,

housing, and automotive industries.  Automotive frames, wrenches, and diving boards

are just a few examples.

 

 

The figure below illustrates a “beam element” along the x-axis of the beam.

 

                     

 

 

In the figure below w(x) is a distributed load acting on a rectangular beam element.

Internal forces developed in the beam include:  The axial force, P, the shear force, V,

the bending moment, M, and the torque, T, shown with a double headed arrow.  Each

force shown, including the distributed loading, w(x), is shown in its positive direction.

 

                    

 

 

Note:   Various authors may choose to use a different sign convention than the one

depicted above.  This sign convention will be the one used for this discussion of statics.

 

 

Click here for examples.

 



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