The General Theory of Cylindrical and Conical Tubes under Torsion and Bending Loads

Abstract

In 3.2.1 it was indicated that ξi, ηi may be found from the appropriate co-factors of the secular equation and appear directly as functions of the geometric and elastic properties of the root cross-section. The method will be applied in 5.6.2 for the four-boom tube, in 5.7.3 for the n-boom tube, and in 5.8 for the trapezoidal tube with direct stress carrying top and bottom panels. This procedure is advantageous when it is desired to study the effect on ξ, η of varying particular parameters of the cross-section.However, when in any case the h-functions have to be obtained, it is often more expedient to determine ξ, η by one of the following procedures.