It is not difficult to establish equations by means of Castigliano's First Theorem intended to give the deflections and rotations at any point in a cantilever curved in plan. However, when the bending modulus, EI, and the torsional modulus, GJ, are unequal in magnitude and when the plan form is not of simple shape, these equations become difficult to handle, if not unmanageable. For the case in which EI ≃ GJ (a solid circular section or annulus) it is possible to obtain simple, approximate, and explicit expressions for the deflections under a concentrated end load of W1 and end couples M0, T0 for any form of beam. These expressions are now extended in Section 1 to take account of the end loading shown in Fig. 1.