Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

The stress analysis of a shear wall with matrix displacement method

  • Ergun, Mustafa (Department of Civil Engineering, Karadeniz Technical University) ;
  • Ates, Sevket (Department of Civil Engineering, Karadeniz Technical University)
  • Received : 2013.09.19
  • Accepted : 2014.04.04
  • Published : 2015.01.25
⟨ Previous Next ⟩

Abstract

Finite element method (FEM) is an effective quantitative method to solve complex engineering problems. The basic idea of FEM for a complex problem is to be able to find a solution by reducing the problem made simple. If mathematical tools are inadequate to obtain precise result, even approximate result, FEM is the only method that can be used for structural analyses. In FEM, the domain is divided into a large number of simple, small and interconnected sub-regions called finite elements. FEM has been used commonly for linear and nonlinear analyses of different types of structures to give us accurate results of plane stress and plane strain problems in civil engineering area. In this paper, FEM is used to investigate stress analysis of a shear wall which is subjected to concentrated loads and fundamental principles of stress analysis of the shear wall are presented by using matrix displacement method in this paper. This study is consisting of two parts. In the first part, the shear wall is discretized with constant strain triangular finite elements and stiffness matrix and load vector which is attained from external effects are calculated for each of finite elements using matrix displacement method. As to second part of the study, finite element analysis of the shear wall is made by ANSYS software program. Results obtained in the second part are presented with tables and graphics, also results of each part is compared with each other, so the performance of the matrix displacement method is demonstrated. The solutions obtained by using the proposed method show excellent agreements with the results of ANSYS. The results show that this method is effective and preferable for the stress analysis of shell structures. Further studies should be carried out to be able to prove the efficiency of the matrix displacement method on the solution of plane stress problems using different types of structures.

Keywords

References

  1. Alyavuz, B. (2007), "Stress distribution in a shear wall-frame structure using unstructured-refined finite element mesh", G.U. J. Sci., 20(1), 7-14.
  2. ANSYS (2008), Swanson Analysis System, USA.
  3. Bozdogan, K.B. (2013), "Free vibration analysis of asymmetric shear wall-frame buildings using modified finite element-transfer matrix method", Struct. Eng. Mech., 46(1), 1-17. https://doi.org/10.12989/sem.2013.46.1.001
  4. Chapelle, D. and Bathe, K.J. (1997), "Fundamental considerations for the finite element analysis of shell structures", Comput. Struct., 66(1), 19-36. https://doi.org/10.1016/S0045-7949(97)00078-3
  5. Clough, R.W. (1960), "The finite element method in plane stress analysis", Proceedings, 2nd Conference on Electronic Computation, A.S.C.E. Structural Division, Pittsburgh, Pennsylvania.
  6. Corradi, L. and Panzeri, N. (2004), "A triangular finite element for sequential limit analysis of shells", Adv. Eng. Softw., 35, 633-643. https://doi.org/10.1016/j.advengsoft.2004.03.014
  7. Ed Akin, J. (1984), Applications and Implementation of Finite Element Methods, Published by Academic Press.
  8. Ghorbani, M.A., Khiavi, M.P. and Moghaddam, F.R. (2009), "Nonlinear Analysis of Shear Wall Using Finite Element Model", World Acedemy of Science, Engineering and Technology, 427-431
  9. Holand, I. and Bell, K. (1969), Finite Elements Methods in Stress Analysis, The Technical University of Norway, Trondheim-Norway, February.
  10. Hutton, D. (2004), Fundamentals of Finite Elements Analysis, Published by the McGraw-Hill Companies, New York.
  11. Lashgari, M. (2009), "Finite element analysis of thin steel plate shear walls", World Academy of Sciences, Engineering and Technology, 436-440.
  12. Lee, P.S. and Bathe, K.J. (2004), "Development of MITC isotropic triangular shell finite elements", Comput. Struct., 82, 945-962. https://doi.org/10.1016/j.compstruc.2004.02.004
  13. Martin, H.C. (1966), Introduction to Matrix Methods of Structural Analysis, Published by McGraw-Hill Inc. US.
  14. Masood, M., Ahmed, I. and Assas, M. (2012), "Behavior of shear wall with base opening", Jordan J. Civil Eng., 6(2), 255-266.
  15. Minaie, E., Moon, F.L. and Hamid, A.A. (2014), "Nonlinear finite element modeling of reinforced masonry shear walls for bidirectional loading response", Finite Elem. Anal. Des., 84, 44-53. https://doi.org/10.1016/j.finel.2014.02.001
  16. Mousa, A.I. and Tayeh, S.M. (2004), "A triangular finite element for plane elasticity with in plane rotation", J. Islamic Univ. Gaza, (Nat. Sci. Ser.), 12(1), 83-95.
  17. Musmar, M.A. (2013), "Analysis of shear wall with openings using Solid65 element", Jordan J. Civil Eng., 7(2), 164-173.
  18. Oztorun, N.K., Citipitioglu, E. and Akkas, N. (1998), "Three-dimensional finite element analysis of shear wall buildings", Comput. Struct., 68, 41-55. https://doi.org/10.1016/S0045-7949(98)00020-0
  19. Paknahad, M., Noorzaei, J., Jaafar, M.S. and Thanoon, W.A. (2007), "Analysis of shear wall structure using optimal membrane triangle element", Finite Elem. Anal. Des., 43, 861-869. https://doi.org/10.1016/j.finel.2007.05.010
  20. Rebiai, C. and Belounar, L. (2014), "An effective quadrilateral membrane finite element based on the strain approach", Measurement, 50, 263-269. https://doi.org/10.1016/j.measurement.2013.12.043
  21. Saritas, A. and Filippou, F.C. (2013), "Analysis of RC walls with a mixed formulation frame finite element", Comput. Concrete, 12(4), 519-536. https://doi.org/10.12989/cac.2013.12.4.519
  22. Severn, R.T. (1966), "The solution of foundation mat problems by finite-element methods", Struct. Eng., 44(6), 223-228.
  23. Vecchio, F.J. (1998), "Lessons from the analysis of a 3-D concrete shear wall", Struct. Eng. Mech., 6(4), 439-455. https://doi.org/10.12989/sem.1998.6.4.439
  24. Xinzheng, L. and Jianjing, J. (2001), "Elastic-plastic analysis of RC shear wall using discrete element method", Proc. Int. Conf. on Enhancement and Promotion of Computational Methods in Engineering and Science, Shanghai.
  25. Yagawa, G. and Miyamura, T. (2005), "Three-node triangular shell element using mixed formulation and its implementation by free mesh method", Comput. Struct., 83, 2066-2076. https://doi.org/10.1016/j.compstruc.2005.03.013
  26. Zienkiewicz, O.C. and Taylor, R.L. (2005), The Finite Element Method for Solid and Structural Mechanics, Published by Butter worth-Heinnemann.

Cited by

  1. Structural analysis of a prestressed segmented girder using contact elements in ANSYS vol.20, pp.3, 2017, https://doi.org/10.12989/cac.2017.20.3.319
  2. Seismic performance of RC frame structures strengthened by HPFRCC walls vol.75, pp.3, 2015, https://doi.org/10.12989/sem.2020.75.3.389