Finite Element for Reinforced Concrete Frame Study

by Wayne C. Kroenke, (A.M.ASCE), Sr. Stress Engr.; Babcock and Wilcox Co., Barberton, OH,
Martin J. Gutzwiller, (M.ASCE), Prof. of Civ. Engrg.; Purdue Univ., Lafayette, IN,
Robert H. Lee, (M.ASCE), Assoc. Prof. of Civ. Engrg.; Purdue Univ., Lafayette, IN,

Serial Information: Journal of the Structural Division, 1973, Vol. 99, Issue 7, Pg. 1371-1390

Document Type: Journal Paper


A finite beam-column element which can be used to model the behavior of reinforced concrete members near failure is developed. The derivation of the material properties and a stiffness matrix for the element are presented. Inelastic material properties are characterized by the rigidity of a cross section whose steel could strain harden, and be unsymmetrically placed. The element stiffness matrix includes nonlinear softening due to initial forces and nonlinear changes in geometry due to rotation of the element. Inclusion of each of these parameters is necessary in order for the element to be used to adequately study the inelastic interaction of entire frames near limit loads.

Subject Headings: Reinforced concrete | Concrete frames | Finite element method | Stiffening | Matrix (mathematics) | Inelasticity | Beam columns | Structural models

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