Exact Solution of the Biaxial Bending Equations

by Charles G. Culver,

Serial Information: Journal of the Structural Division, 1966, Vol. 92, Issue 2, Pg. 63-84

Document Type: Journal Paper


The exact solution of the differential equations governing the elastic deformational response of biaxially loaded columns is given. Several numerical examples are presented which illustrate this exact solution. Numerical values for stresses and deflections obtained from this exact solution are compared with the results of existing approximate solutions. The problem of stability and the influence of initial imperfections including residual stress and initial deflections and twist on the biaxially loaded column may be investigated in a manner similar to that used herein.

Subject Headings: Biaxial loads | Biaxial strength | Bending (structural) | Columns | Numerical methods | Residual stress | Displacement (mechanics) | Differential equations

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