Consider the torsion of a bar of general triangular section as shown in the following figure. Using the boundary equation technique of Section 9.4, attempt a stress function solution of the form:

where m₁, m₂, and a are geometric constants defined in the figure and K is a constant to be determined. Show that this form will be a solution to the torsion problem only for the case of an equilateral triangular section.

Transcribed Image Text:

= K (x-a)(y-mx) (y + mx)