DESIGN OF RODS BENT IN COMPRESSION BEYOND THE ELASTIC LIMIT,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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A numerical method is presented for solving a differential equation for a bent axis of a compression-bent rod in its elastoplastic stage. It is assumed that the rod is acted upon by a longitudinal force and an arbitrary system of transverse loads. The hypothesis of flat cross sections is accepted, and the bends are assumed to be small in comparison to the length. In this work the main effort is placed on constructing an iteration method for the solution and on clarifying the problem of the solution convergence. A solution algorithm for a hinge-supported rod loaded by a concentrated bending moment is analyzed as an example of constructing iteration formulas.
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