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A method for calculation of lateral displacements of buildings under distributed loads

Year 2023, Volume: 11 Issue: 2, 166 - 176, 25.12.2023
https://doi.org/10.51354/mjen.1217597

Abstract

Lateral displacement is a vary important parameter that we need to calculate when structures are subjected to lateral loads like earthquake and wind loads. In this study, a method is proposed for lateral displacement calculation of structures with different structural systems in different planes. This method is based on the continuum system calculation model. The method suggested in the literature for only top displacement in the case of uniform loading, is developed in this study for the calculation of displacements at each storey level and also in both uniform and triangular loading conditions. At the end of the study, twenty-eight storey building with shear wall-frame bearing system, which was taken from the literature, was solved with the presented method and Finite Element Method. The shear walls were modelled with three different element types for the analysis with the Finite Element Method with structural engineering program used. The results, obtained from the Continuum Method and Finite Element Method were presented in tables and by figures. Thus, the compatibility of the proposed method with the classical Finite Element Method was investigated. From the compared results of the method and the literature or finite element models it was seen that the method used for the case of uniform or triangular distributed loading gives very close results.

References

  • [1] Chitty L., “On the cantilever composed of a number of parallel beams interconnected by cross bars”, Philosophical Magazine, London, Series, 7 (38), (1947), 685–699.
  • [2] Rosman R., “Approximate analysis of shear walls subject to lateral loads”, Proceedings of the American Concrete Institute, 61(6), (1964), 717–734.
  • [3] Rutenberg, A., Heidebrecht A.C., “Approximate analysis of asymmetric wall-frame structures”, Building Science, 10(1), (1975), 731–745.
  • [4] Murashev, V., Sigalov, E., Baikov, V.N., “Design of reinforced concrete structures”, Moscow, Mir Publishers, 1976.
  • [5] Basu, A.K., Nagpal, A.K., & Kaul, S., “Charts for seismic design of frame-wall systems”, Journal of Structural Engineering ASCE ,110 (1), (1984), 31–46.
  • [6] Stafford Smith B, Crowe E., “Estimating periods of vibration of tall building”, Journal of the Structural Division, ASCE 112(5), (1986), 1005–1019.
  • [7] Smith B. S., Yoon Y. S., “Estimating seismic base shears of tall wall-frame buildings”, Journal of Structural Engineering ASCE, 117(10), (1991), 3026-3041.
  • [8] Mancini, E., Savassi, W., “Tall building structures unified plane panels behavior”, Structural Design of Tall Buildings, 8, (1999), 155–170.
  • [9] Ng, S.C., Kuang, J.S, “Triply coupled vibration of asymmetric wall–frame structures”, Journal of Structural Engineering ASCE, 126 (8), (2000), 982–987.
  • [10] Wang, Y., Arnaouti, C., Guo S., “A simple approximate formulation for the first two frequencies of asymmetric wall–frame multi-storey building structures”, Journal of Sound and Vibration, 236 (1), (2000), 141–160.
  • [11] Swaddiwudhipong, S, Lee S.L, Zhou Q., “Effect of axial deformation on vibration of tall buildings”, Structural Design of Tall Buildings 10, (2001), 79–91.
  • [12] Zalka, K.A., “Simplified method for calculation of the natural frequencies of wall–frame buildings”, Engineering Structures, 23 (12), (2001), 1544-1555.
  • [13] Hoenderkamp, J. C. D., “Simplified analysis of asymmetric high-rise structures with cores”, The Structural Design of Tall Buildings, 11(2), (2002), 93-107.
  • [14] Miranda,E., Reyes, C.J., “Approximate lateral drift demands in multistory buildings with nonuniform stiffness”, Journal of Structural Engineering ASCE, 128 (7), (2002), 840–849.
  • [15] Tarján, G. ,László P.K., “Approximate analysis of building structures with identical stories subjected to earthquakes”, International Journal of Solids and Structures, 41(5-6), (2004), 1411-1433.
  • [16] Miranda, E., Akkar, S D., “Generalized interstory drift spectrum”, Journal of Structural Engineering ASCE, 132(6), (2006), 840–852.
  • [17] Clive L.D.,Harry. E.W., “Estimating fundamental frequencies of tall buildings”, Journal of Structural Engineering ASCE, 133(10), (2007), 1479-1483.
  • [18] Georgoussis, G.K., “Approximate analysis of symmetrical structures consisting of different types of bents”, The Structural Design of Tall and Special Buildings, 16( 3), (2007), 231-247.
  • [19] Meftah S.A., Tounsi A., El Abbas A.B., “A simplified approach for seismic calculation of a tall building braced by shear walls and thin-walled open section structures”, Journal of Engineering Structure, 29(10), (2007), 2576-2585.
  • [20] Laier ,J.E., “An improved continuous medium technique for structural frame analysis”, The Structural Design of Tall and Special Buildings, 17(1), (2008), 25-38.
  • [21] Rafezy, R. , Howson,W.P., “Vibration analysis of doubly asymmetric, three-dimensional structures comprising wall and frame assemblies with variable cross-section”, Journal of Sound and Vibration, 318 (1–2), (2008), 247-266.
  • [22] Bozdogan, KB., “An approximate method for static and dynamic analyses of symmetric wall-frame buildings”, The Structural Design of Tall and Special Buildings, 18(3), (2009), 279–290.
  • [23] Takabatake, H., “Two-dimensional rod theory for approximate analysis of building structures”, Earthquakes and Structures, 1(1), (2010), 1–19.
  • [24] Bozdogan, K.B., “A method for lateral static and dynamic analyses of wall-frame buildings using one dimensional finite element”, Scientific Research and Essays 6(3), (2011), 616-626.
  • [25] Wdowicki, J., Wdowicka, E., “Analysis of shear wall structures of variable cross section”, The Structural Design of Tall and Special Buildings, 21(1), (2012),1–15.
  • [26] Son, H.J., Park, J., Kim, H., Lee, H.Y., Kim ,D.J. “Generalized finite element analysis of high-rise wall-frame structural systems”, Engineering Computations, 34(1), (2017)
  • [27] StaffordSmith B., Kuster M., Hoenderkainp C. D., “Generalized method for estimating drift in high-rise structures”, Journal of Structural Engineering, ASCE, 110(7), (1984), 1549–1562.
  • [28] Heidebrecht A. C., Rutenberg A., “Applications of drift spectra in seismic design”, Proceedings of 12WCEE, Auckland, NZ, New Zealand Society for Earthquake Engineering, (2000), Paper No. 209.
  • [29] Xie, J., Wen, Z., “A measure of drift demand for earthquake ground motions based on Timoshenko beam mode”, The 14th World Conference on Earthquake Engineering. Beijing, China, (2008)
  • [30] Khaloo A.R., Khosravi, H., “Multi-mode response of shear and flexural buildings to pulse-type ground motions in near-field earthquakes”, Journal of Earthquake Engineering, 12(4), (2008), 616–630.
  • [31] Yang D., Pan J., Li ,G., “Interstory drift ratio of building structures subjected to near-fault ground motions based on generalized drift spectral analysis”, Soil Dynamics and Earthquake Engineering, 30(11), (2010),1182–1197.
  • [32] Shodja, A. H., Rofooei, F. R., “Using a lumped mass, nonuniform stiffness beam model to obtain the interstory drift spectra”, Journal of Structural Engineering ASCE, 140(5), (2014)
  • [33] Tekeli ,H., Atimtay, E., Turkmen M., “An approximation method for design applications related to sway in RC framed buildings”, International Journal of Civil Engineering Transaction A: Civil Engineering, 13(3), (2015), 321-330.
  • [34] Zalka, K. A., “A simplified method for calculation of natural frequencies of wall-frame buildings”, Eng. Struct., 23(12), (2001, 1544-1555
  • [35] Zalka, K.A., “Maximum deflection of symmetric wall-frame buildings”, Peri-odica Polytechnica, Civil Engineering, 57(2), (2013), 173–184
  • [36] Bilyap S., “Betonarme yüksek yapılarda perde çerçeve sistemlerinin yatay kuvvetlere göre hesabı”, Ege Üniversitesi Matbaası, İzmir, 1979.
  • [37] Ertutar Y., Betonarme yüksek yapılarda yatay yük etkisi, Dokuz Eylül Üniversitesi Yayınları, İzmir, 1995.
  • [38] Ertutar Y., , Yatay kuvvetler etkisindeki perde-çerçeve sistemlerinin burulmalı çözümü, Yeni Deprem Yönetmeliği ve Uygulama Sorunları Sempozyumu Bildiriler Kitabı, İzmir, (1997), 33-39.
  • [39] Çelebi Ü., Bilyap S., “Burulmalı Perde-Çerçeve sistemlerinin hesabında sürekli burulma çubuğu analojisi yöntemi”, Türkiye İnşaat Mühendisliği 11. Teknik Kongresi Bildiriler Kitabı Cilt 1, 8-11 Ekim, İstanbul, (1991), 62-73.
  • [40] Alku Ö.Z., “Kademeli veya Kesik Perdeler İçeren Binaların Yatay Kuvvetler Etkisinde Yaklaşık Hesabı”, Deprem Araştırma Bülteni, Cilt 13, Sayı 53, (1986), 5-31.
  • [41] Ertutar Y., “Yatay Yüklerin Etkisi Altında Bulunan ve Çerçeve Kayma Rijitliği Yapı Yüksekliğince Nonlineer Değişen Yapılarda Yatay Yer değiştirmelerin Hesabı”, Deprem Araştırma Bülteni, Cilt 14,Sayı 57, (1987), 83-92.
  • [42] Alku Ö.Z., Ertutar Y., “Mafsallı Bağlantı Kirişli Bir Açıklıklı Birleşik Çerçevenin Kayma Rijitliği”, Deprem Araştırma Bülteni, Cilt 16, Sayı 66, (1989), 90-100.
Year 2023, Volume: 11 Issue: 2, 166 - 176, 25.12.2023
https://doi.org/10.51354/mjen.1217597

Abstract

References

  • [1] Chitty L., “On the cantilever composed of a number of parallel beams interconnected by cross bars”, Philosophical Magazine, London, Series, 7 (38), (1947), 685–699.
  • [2] Rosman R., “Approximate analysis of shear walls subject to lateral loads”, Proceedings of the American Concrete Institute, 61(6), (1964), 717–734.
  • [3] Rutenberg, A., Heidebrecht A.C., “Approximate analysis of asymmetric wall-frame structures”, Building Science, 10(1), (1975), 731–745.
  • [4] Murashev, V., Sigalov, E., Baikov, V.N., “Design of reinforced concrete structures”, Moscow, Mir Publishers, 1976.
  • [5] Basu, A.K., Nagpal, A.K., & Kaul, S., “Charts for seismic design of frame-wall systems”, Journal of Structural Engineering ASCE ,110 (1), (1984), 31–46.
  • [6] Stafford Smith B, Crowe E., “Estimating periods of vibration of tall building”, Journal of the Structural Division, ASCE 112(5), (1986), 1005–1019.
  • [7] Smith B. S., Yoon Y. S., “Estimating seismic base shears of tall wall-frame buildings”, Journal of Structural Engineering ASCE, 117(10), (1991), 3026-3041.
  • [8] Mancini, E., Savassi, W., “Tall building structures unified plane panels behavior”, Structural Design of Tall Buildings, 8, (1999), 155–170.
  • [9] Ng, S.C., Kuang, J.S, “Triply coupled vibration of asymmetric wall–frame structures”, Journal of Structural Engineering ASCE, 126 (8), (2000), 982–987.
  • [10] Wang, Y., Arnaouti, C., Guo S., “A simple approximate formulation for the first two frequencies of asymmetric wall–frame multi-storey building structures”, Journal of Sound and Vibration, 236 (1), (2000), 141–160.
  • [11] Swaddiwudhipong, S, Lee S.L, Zhou Q., “Effect of axial deformation on vibration of tall buildings”, Structural Design of Tall Buildings 10, (2001), 79–91.
  • [12] Zalka, K.A., “Simplified method for calculation of the natural frequencies of wall–frame buildings”, Engineering Structures, 23 (12), (2001), 1544-1555.
  • [13] Hoenderkamp, J. C. D., “Simplified analysis of asymmetric high-rise structures with cores”, The Structural Design of Tall Buildings, 11(2), (2002), 93-107.
  • [14] Miranda,E., Reyes, C.J., “Approximate lateral drift demands in multistory buildings with nonuniform stiffness”, Journal of Structural Engineering ASCE, 128 (7), (2002), 840–849.
  • [15] Tarján, G. ,László P.K., “Approximate analysis of building structures with identical stories subjected to earthquakes”, International Journal of Solids and Structures, 41(5-6), (2004), 1411-1433.
  • [16] Miranda, E., Akkar, S D., “Generalized interstory drift spectrum”, Journal of Structural Engineering ASCE, 132(6), (2006), 840–852.
  • [17] Clive L.D.,Harry. E.W., “Estimating fundamental frequencies of tall buildings”, Journal of Structural Engineering ASCE, 133(10), (2007), 1479-1483.
  • [18] Georgoussis, G.K., “Approximate analysis of symmetrical structures consisting of different types of bents”, The Structural Design of Tall and Special Buildings, 16( 3), (2007), 231-247.
  • [19] Meftah S.A., Tounsi A., El Abbas A.B., “A simplified approach for seismic calculation of a tall building braced by shear walls and thin-walled open section structures”, Journal of Engineering Structure, 29(10), (2007), 2576-2585.
  • [20] Laier ,J.E., “An improved continuous medium technique for structural frame analysis”, The Structural Design of Tall and Special Buildings, 17(1), (2008), 25-38.
  • [21] Rafezy, R. , Howson,W.P., “Vibration analysis of doubly asymmetric, three-dimensional structures comprising wall and frame assemblies with variable cross-section”, Journal of Sound and Vibration, 318 (1–2), (2008), 247-266.
  • [22] Bozdogan, KB., “An approximate method for static and dynamic analyses of symmetric wall-frame buildings”, The Structural Design of Tall and Special Buildings, 18(3), (2009), 279–290.
  • [23] Takabatake, H., “Two-dimensional rod theory for approximate analysis of building structures”, Earthquakes and Structures, 1(1), (2010), 1–19.
  • [24] Bozdogan, K.B., “A method for lateral static and dynamic analyses of wall-frame buildings using one dimensional finite element”, Scientific Research and Essays 6(3), (2011), 616-626.
  • [25] Wdowicki, J., Wdowicka, E., “Analysis of shear wall structures of variable cross section”, The Structural Design of Tall and Special Buildings, 21(1), (2012),1–15.
  • [26] Son, H.J., Park, J., Kim, H., Lee, H.Y., Kim ,D.J. “Generalized finite element analysis of high-rise wall-frame structural systems”, Engineering Computations, 34(1), (2017)
  • [27] StaffordSmith B., Kuster M., Hoenderkainp C. D., “Generalized method for estimating drift in high-rise structures”, Journal of Structural Engineering, ASCE, 110(7), (1984), 1549–1562.
  • [28] Heidebrecht A. C., Rutenberg A., “Applications of drift spectra in seismic design”, Proceedings of 12WCEE, Auckland, NZ, New Zealand Society for Earthquake Engineering, (2000), Paper No. 209.
  • [29] Xie, J., Wen, Z., “A measure of drift demand for earthquake ground motions based on Timoshenko beam mode”, The 14th World Conference on Earthquake Engineering. Beijing, China, (2008)
  • [30] Khaloo A.R., Khosravi, H., “Multi-mode response of shear and flexural buildings to pulse-type ground motions in near-field earthquakes”, Journal of Earthquake Engineering, 12(4), (2008), 616–630.
  • [31] Yang D., Pan J., Li ,G., “Interstory drift ratio of building structures subjected to near-fault ground motions based on generalized drift spectral analysis”, Soil Dynamics and Earthquake Engineering, 30(11), (2010),1182–1197.
  • [32] Shodja, A. H., Rofooei, F. R., “Using a lumped mass, nonuniform stiffness beam model to obtain the interstory drift spectra”, Journal of Structural Engineering ASCE, 140(5), (2014)
  • [33] Tekeli ,H., Atimtay, E., Turkmen M., “An approximation method for design applications related to sway in RC framed buildings”, International Journal of Civil Engineering Transaction A: Civil Engineering, 13(3), (2015), 321-330.
  • [34] Zalka, K. A., “A simplified method for calculation of natural frequencies of wall-frame buildings”, Eng. Struct., 23(12), (2001, 1544-1555
  • [35] Zalka, K.A., “Maximum deflection of symmetric wall-frame buildings”, Peri-odica Polytechnica, Civil Engineering, 57(2), (2013), 173–184
  • [36] Bilyap S., “Betonarme yüksek yapılarda perde çerçeve sistemlerinin yatay kuvvetlere göre hesabı”, Ege Üniversitesi Matbaası, İzmir, 1979.
  • [37] Ertutar Y., Betonarme yüksek yapılarda yatay yük etkisi, Dokuz Eylül Üniversitesi Yayınları, İzmir, 1995.
  • [38] Ertutar Y., , Yatay kuvvetler etkisindeki perde-çerçeve sistemlerinin burulmalı çözümü, Yeni Deprem Yönetmeliği ve Uygulama Sorunları Sempozyumu Bildiriler Kitabı, İzmir, (1997), 33-39.
  • [39] Çelebi Ü., Bilyap S., “Burulmalı Perde-Çerçeve sistemlerinin hesabında sürekli burulma çubuğu analojisi yöntemi”, Türkiye İnşaat Mühendisliği 11. Teknik Kongresi Bildiriler Kitabı Cilt 1, 8-11 Ekim, İstanbul, (1991), 62-73.
  • [40] Alku Ö.Z., “Kademeli veya Kesik Perdeler İçeren Binaların Yatay Kuvvetler Etkisinde Yaklaşık Hesabı”, Deprem Araştırma Bülteni, Cilt 13, Sayı 53, (1986), 5-31.
  • [41] Ertutar Y., “Yatay Yüklerin Etkisi Altında Bulunan ve Çerçeve Kayma Rijitliği Yapı Yüksekliğince Nonlineer Değişen Yapılarda Yatay Yer değiştirmelerin Hesabı”, Deprem Araştırma Bülteni, Cilt 14,Sayı 57, (1987), 83-92.
  • [42] Alku Ö.Z., Ertutar Y., “Mafsallı Bağlantı Kirişli Bir Açıklıklı Birleşik Çerçevenin Kayma Rijitliği”, Deprem Araştırma Bülteni, Cilt 16, Sayı 66, (1989), 90-100.
There are 42 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Duygu Öztürk 0000-0001-7800-7438

Kanat Burak Bozdoğan 0000-0001-7528-2418

Süleyman Aydın 0000-0003-2489-9906

Publication Date December 25, 2023
Published in Issue Year 2023 Volume: 11 Issue: 2

Cite

APA Öztürk, D., Bozdoğan, K. B., & Aydın, S. (2023). A method for calculation of lateral displacements of buildings under distributed loads. MANAS Journal of Engineering, 11(2), 166-176. https://doi.org/10.51354/mjen.1217597
AMA Öztürk D, Bozdoğan KB, Aydın S. A method for calculation of lateral displacements of buildings under distributed loads. MJEN. December 2023;11(2):166-176. doi:10.51354/mjen.1217597
Chicago Öztürk, Duygu, Kanat Burak Bozdoğan, and Süleyman Aydın. “A Method for Calculation of Lateral Displacements of Buildings under Distributed Loads”. MANAS Journal of Engineering 11, no. 2 (December 2023): 166-76. https://doi.org/10.51354/mjen.1217597.
EndNote Öztürk D, Bozdoğan KB, Aydın S (December 1, 2023) A method for calculation of lateral displacements of buildings under distributed loads. MANAS Journal of Engineering 11 2 166–176.
IEEE D. Öztürk, K. B. Bozdoğan, and S. Aydın, “A method for calculation of lateral displacements of buildings under distributed loads”, MJEN, vol. 11, no. 2, pp. 166–176, 2023, doi: 10.51354/mjen.1217597.
ISNAD Öztürk, Duygu et al. “A Method for Calculation of Lateral Displacements of Buildings under Distributed Loads”. MANAS Journal of Engineering 11/2 (December 2023), 166-176. https://doi.org/10.51354/mjen.1217597.
JAMA Öztürk D, Bozdoğan KB, Aydın S. A method for calculation of lateral displacements of buildings under distributed loads. MJEN. 2023;11:166–176.
MLA Öztürk, Duygu et al. “A Method for Calculation of Lateral Displacements of Buildings under Distributed Loads”. MANAS Journal of Engineering, vol. 11, no. 2, 2023, pp. 166-7, doi:10.51354/mjen.1217597.
Vancouver Öztürk D, Bozdoğan KB, Aydın S. A method for calculation of lateral displacements of buildings under distributed loads. MJEN. 2023;11(2):166-7.

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