Consider the torsion of a bar of general triangular section as shown in the following figure. Using

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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:

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

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.

y y = mx y=-mx X = a Xx

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