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The problem of the minimum induced drag of wings having a given lift and a given span is extended to include cases in which the bending moment to be supported by the wing is also given. Expressions for the spanwise load distribution and the minimum drag in terms of the lateral position of the load centroid are given. The results show a 15-percent reduction of the induced drag with a 15-percent increase in span over that for an elliptic loading having the same total lift and bending moment.
Let L, R, Y be arbitrary real constants. A wing with fixed span which produces lift L, roll moment R, yaw moment Y and which has minimal induced drag D is wanted. This problem arises in airplane engineering. It is solved by means of Prandtl's lifting line theory combined with computation. (Author).