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http://dx.doi.org/10.5659/JAIK_SC.2018.34.9.3

A Study on the Analytical Model of Shear Wall Considering the Current Status of Structural Design  

Jung, Sung-Jin (Department of Architectural Engineering, Hannam University)
Publication Information
Journal of the Architectural Institute of Korea Structure & Construction / v.34, no.9, 2018 , pp. 3-10 More about this Journal
Abstract
While computer environments have been dramatically developed in recent years, as the building structures become larger, the structural analysis models are also becoming more complex. So there is still a need to model one shear wall with one finite element. From the viewpoint of the concept of FEA, if one shear wall is modeled by one finite element, the result of analysis is not likely accurate. Shear wall may be modelled with various finite elements. Among them, considering the displacement compatibility condition with the beam element connected to the shear wall, plane stress element with in-plane rotational stiffness is preferred. Therefore, in order to analyze one shear wall with one finite element accurately, it is necessary to evaluate finite elements developed for the shear wall analysis and to develop various plane stress elements with rotational stiffness continuously. According to the above mentioned need, in this study, the theory about a plane stress element using hierarchical interpolation equation is reviewed and stiffness matrix is derived. And then, a computer program using this theory is developed. Developed computer program is used for numerical experiments to evaluate the analysis results using commercial programs such as SAP2000, ETABS, PERFORM-3D and MIDAS. Finally, the deflection equation of a cantilever beam with narrow rectangular section and bent by an end load P is derived according to the elasticity theory, and it is used to for comparison with theoretical solution.
Keywords
Shear Wall; Plane Stress Element with Rotational Stiffness; Finite Element Analysis; Hierarchical Displacement Interpolation equation; Algorithm; Computer Program; Numerical Experiment;
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  • Reference
1 Ibrahimbegovic, A., & Wilson, E.L. (1991). Unified formulation for triangular and quadrilateral flat shell finite elements with six nodal degrees of freedom, Int. j. numer. methods eng.
2 Ibrahimbegovic, A., Taylor, R. L., & Wilson, E.L. (1991). A robust membrane quadrilateral flat shell finite elements with six nodal degrees of freedom, Commun. Appl. Numer. Methods
3 Ibrahimbegovic, A., & Wilson, E.L. (1991). THICK SHELL AND SOLID FINITE ELEMENTS WITH INDEPENDENT ROTATIONAL FIELDS, INT. JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, VOL. 31
4 Jung, S.J, Lee, M.S., & Park, S.H. (2012). A Computer Program Algorithm for Realizing Quadrilateral Plane Element, Journal of the Architectural Institute of Korea, Structure Section, 28(4), 65-73
5 Computers and Structures, Inc. (1998). SAP2000-ANALYSIS REFERENCE, Ver. 7.0
6 MIDAS/Civil, http://www.midasit.com/
7 Computers and Structures, Inc. (2011). User Guide PERFORM-3DTM-Nonlinear Analysis and Performance Assessment for 3D Structures
8 Computers and Structures, Inc. (2015). ETABS-Analysis Reference Manual
9 MacNeal, R.H., & Harder, R.L. (1988). A refined four-node membrane element with rotational degrees of freedom, Computers and Structures, VOl. 18
10 Ibrahimbegovic, A. (1990). A novel membrane element with enhanced displacement interpolation, J, Finite Elem. Anal. Design
11 Wilson, E. L., & Ibrahimbegovic, A. (1990). Use of incompatible displacement modes for the calculation of element stiffnesses and stresses, J. Finite Elem. Anal. Design
12 Computers and Structures, Inc. (2015). ETABS-Software Verification Examples
13 Timoshenko, S., & Goodier, J.N. (1951). Theory of Elasticity, McGraw-Hill, New York
14 Saada, A.S. (1974). Elasticity-Theory and Applications, Pergamon Press Inc.
15 Bathe, Klaus-Jurgen (1996). Finite Element Procedures, Prentice Hall
16 Cook, R.D., Malkus, D.S., Plesha, M.E., & Witt, R.J., (2001). Concepts and Applications of Finite Element Analysis, Fourth Edition, John Wiley & Sins, Inc.
17 Zienkiewicz, O.C., Taylor, R.L., & Zhu, J.Z. (2005). The Finite Element Method - Its Basis & Fundamentals, Elsevier Butterworth-Heinemann