Simplified Drift Evaluation of Wall‐Frame Structures

Abstract

Abstract: An idealized model for analysis of multistory buildings subjected to lateral loads is presented. Using a simplified structural model composed of connecting beams and columns, along with a rapid condensation procedure, an approximated lateral stiffness matrix is obtained from which the lateral deformations can be quickly determined. The proposed model is suitable either for preliminary analysis or for quick verification of more complex computational procedures.Commonly used analytical procedures are based on one of the following two approaches: (i] rapid evaluation of story drifts based on oversimplification of structures as specified primarily by building codes (shear systemslstick models), and (ii) detailed modeling of buildings as an assemblage of structural members combined with refined analysis of each individual component (finite element analysis). While the former approach requires only a small amount of data and simple hand computations to carry out the analysis, the latter requires an abundance of information and fairly complicated and elaborate computations requiring computers. However, the first approach leads only to very approximate results often invalidated by severe assumptions and restrictions while the second method produces results which are more comprehensive and accurate.The idealization proposed in this paper is a rational combination of the two approaches leading to more accurate results with only a minimal amount of data. The simplification is obtained by assuming contraflexure points at mid spans of horizontal beams, but not extending the same simplification to vertical elements, as is typically done in simplified design and code approaches. This allows a simple representation of beams as rotational springs coupled to vertical cantilevers representing the columns. The ensuing matrix computations on a vastly reduced and diagonalized stiffness matrix can be carried out with ease on microcomputers.Using the procedure outlined herein, the internal forces in members can be reasonably obtained, and axial stresses can be roughly estimated. An application of the proposed technique is presented using two sample buildings and are compared with results of more rigorous and accurate procedures.