I'm working on a problem involving the bending of a beam. The bending is a result of an expansion within the beam, rather than an external load. Basically, there is an expansion in the volume of one side of the beam and a contraction on the other side. I have therefore calculated a volumetric strain distribution for a coss-section of the beam. What I need to know how to do, is calculate the resultant bending for that strain distribution. How would I go about this?