Abstract
A general method is proposed to determine optimal reinforcement distributions for rectangular reinforced concrete column sections subjected to multiple combinations of axial load and moment. The design problem is formulated as a general constrained nonlinear optimization problem and is solved both mathematically and graphically. Ultimate strength and strength reduction factors are evaluated using ACI code provisions. The method provides a simple approach to determine optimal reinforcement under multiple loading combinations. The use of optimal reinforcement rather than conventional (symmetric) distributions of reinforcement can lower construction costs and environmental impacts.
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