Element

Abstract

Simplified Calculation Approach of Load-Deformation Relationships of a Beam-Column Element

Abstract

A simple algorithm for the derivation of load-deformation relationships of a beam-column element is developed. Nonlinear beam-column element is modeled considering inelastic flexural deformations, geometric nonlinearities and elastic shear and axial deformations. In a frame structure, one element is used for one member that may be loaded by distributed loads. The distribution of inelasticity along the member is taken into consideration. The algorithm can be used not only in nonlinear static analysis but also calculation of the elastic stiffness characteristics of non-prismatic members such as haunches and tapered beams. Correlation studies with the existing literature have been conducted with the objective to establish the validity of the proposed algorithm.

 

Key Words: Beam-column element; inelastic deformations; spread plasticity; stiffness characteristics; nonlinear static analysis.

 

Keywords

• Beam-column element, inelastic deformations, spread plasticity, stiffness characteristics, nonlinear static analysis

References

1. [1] Yuksel E., “Nonlinear Analysis of 3D Large Structures with Certain Irregularities”, 1998, Ph.D. Thesis, submitted to Graduate Scholl of ITU, (in Turkish) (1998).
2. [2] Park R., Kent D., Sampson R., “Reinforced Concrete Members with Cyclic Loading”, Journal of Structural Engineering, 98: 1341-1360 (1972).
3. [3] Otani S., “Inelastic Analysis of R/C Frame Structures”, ASCE Journal of Structural Division, 100: 1433-1449 (1974).
4. [4] Umemura H., Aoyama H., Takizawa H., “Analysis of the Behavior of R/C Structures During Strong Earthquake Based on Empirical Estimation of Inelastic restoring Force Characteristics of Members”, Proceedings of the Fifth World Conference on Earthquake Engineering, Vol.2, Italy (1974).
5. [5] Takayanagi T., Schnobrich W.C., “Computed Behavior of Reinforced Concrete Coupled Shear Walls”, Structural Research Series No.434, Civil Engineering Studies, University of Illinois, Urbana, Illinois (1976).