Flexure and Torsion of Cylinders with Cross-Sections Bounded by Orthogonal Circular Arcs

The Saint-Venant flexure problem for the bending of an elastic beam under a transverse end-load had recently been reformulated by one of us (Stevenson 1938 a ) as the search for six canonical complex functions Qr, wr (r = 1, 2, 3), where Qr = Xr+ix*r =f(z), (z = x+iy),