Abstract
We present a brief historical survey of the problem and suggest two integral equations for its solution one of which is singular. The numerical solution of these equations is obtained by the method of mechanical quadratures. It is shown that the ultimate load nonlinearly decreases as the reinforcement becomes stronger and the same is also true for the critical size of oblique cracks located in the supporting parts of reinforced concrete beams. We determine the optimal sizes of reinforced beams.
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