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The ultimate capacity of short L-shaped reinforced concrete (RC) members subjected to biaxial eccentric compression is investigated to provide a new tool for structure engineers. On the basis of nonlinear analysis of RC arbitrary cross-section, a new simplified cross-section numerical integration method is suggested. The cross-section is divided into several triangles, and each one is integrated with Gauss integration method. And L-shaped cross-sections subjected to biaxial eccentric compression are analyzed. The interaction curves of (N-M) and (My-Mz) for L-shaped sections are derived. The analytical results are well consistent with the experimental data and other analytical results.