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Reliability of Design of Floor Slab Systems Using Plastic Moment Distribution Method

Year 2021, Volume: 5 Issue: 2, 261 - 278, 31.12.2021
https://doi.org/10.53600/ajesa.949825

Abstract

This research study the reliability of designing continuous floor slabs with varying end conditions under affected ultimate Loads by plastic theory. This paper has adopted an approach using the plastic moment distribution method in the design of solid slabs .16 rectangular slabs have the same depth but different end conditions and dimensions in x and y- directions were investigated. The results obtained from the continuous solid slabs by plastic moment distribution method achieved the conditions of equilibrium, mechanisms, and plastic moment and it was compared with computer program adopted elastic theory method under loading combination ultimate limit state and serviceability limit state. The results are compared according to the parameters of the British Code (BS 8810) allow that any value of bending moments by the plastic method must be not less than 30 % of the elastic moment at supports and at span (maximum sagging moments) in plastic are high in elastic analysis. After comparing, all the obtained results showed that they are in agreement with the determinants of the British code, The method adopted in this study gave the values of the plastic moment (MP), at which the plastic hinge (PH) is formed and true mechanism of failure.

References

  • ACI-318. 2014. Building Code Requirements for Structural Concrete (ACI 318S-14) and Commentary (ACI 318SR-14). In American Concrete Institute.
  • Alasam, M. A. A. 2006. Yield Line Method Applied to Slabs with Different Supports. December. British Standards Institution. 1997. Bs 8110-1:1997. British Standard Institution London, 1, 168.
  • Chen, W. F., & Sohal, I. 1995. Plastic Design and Second-Order Analysis of Steel Frames. In Plastic Design and Second-Order Analysis of Steel Frames. https://doi.org/10.1007/978-1-4613-8428-1
  • Farouk, M. A., Alzara, M., and Samir El-kady, M. 2018. Computing redistribution moments in the plastic stage by using linear analysis. Innovative Infrastructure Solutions, 3(1). https://doi.org/10.1007/ s41062-018-0143-6.
  • Hibbeler, R. C. 2012. Structutal Analysis.
  • Horne, M. R., And Fruchtlander, A. 1954. Correspondence. a Moment Distribution Method for the Analysis and Design of Structures By the Plastic Theory. Proceedings of the Institution of Civil Engineers, 3(4), 594–597. https://doi.org/10.1680/ipeds.1954.12588
  • Moy, S. S. J. 2013. Plastic Method for Steel and Concrete Strucutres. In Journal of Chemical Information and Modeling (Vol. 53, Issue 9).
  • Singh, A. K. 2011. Plastic deformation. Encyclopedia of Earth Sciences Series, Part 3, 864. https://doi. org/10.1007/978-90-481-2642-2_688.
  • Stark, J. W. B., & Brekelmans, J. W. P. M. 1990. Plastic design of continuous composite slabs. Journal of Constructional Steel Research, 15(1–2), 23–47. https://doi.org/10.1016/0143-974X(90)90041-E.
  • Vančík, V., and Jirásek, M. 2016. Computer-Aided Plastic Limit Analysis of Plates. Applied Mechanics and Materials, 821, 547–554. https://doi.org/10.4028/www.scientific.net/amm.821.547

Plastik Moment Dağılım Yöntemi Kullanılarak Tasarım Zemin Döşemesinin Güvenilirliği

Year 2021, Volume: 5 Issue: 2, 261 - 278, 31.12.2021
https://doi.org/10.53600/ajesa.949825

Abstract

Bu araştırma, plastik teori ile etkilenen nihai yükler altında değişen son koşullara sahip tasarım sürekli döşeme plakalarının güvenilirliğini incele ektedir. Bu makale, katı döşemenin tasarımında plastik moment dağılımı yöntemini kullanan bir yaklaşım benimsemiştir. Aynı derinliğe sahip fakat x ve y-doğrultularında farklı boyut ve son koşullarda olan 16 dikdörtgen döşeme araştırılmıştır. Plastik moment dağılım yöntemi ile sürekli katı levhalardan elde edilen sonuçlar, denge, mekanizma ve plastik moment koşullarını sağladı ve bu, bilgisayar programı tarafından benimsenen elastik teori yöntemi ile yükleme kombinasyonu nihai sınır durumu ve hizmet verebilirlik sınır durumu altında karşılaştırıldı. Sonuçlar, İngiliz Kodunun (BS 8810) parametrelerine göre karşılaştırıldığında, plastik yöntemle herhangi bir eğilme momenti değerinin desteklerdeki elastik momentin %30’undan az olmaması gerektiğine ve elastik analizde plastikte açıklıkta (maksimum sarkma momentleri) yüksek olmasına izin verir. Karşılaştırıldıktan sonra, elde edilen tüm sonuçlar İngiliz kodunun belirleyicileri ile uyumlu olduklarını göstermiştir. Bu çalışmada benimsenen yöntem, plastik mafsalın (PH) oluştuğu ve göçme mekanizması oluştuğunda plastik moment (MP) değerlerini vermiştir.

References

  • ACI-318. 2014. Building Code Requirements for Structural Concrete (ACI 318S-14) and Commentary (ACI 318SR-14). In American Concrete Institute.
  • Alasam, M. A. A. 2006. Yield Line Method Applied to Slabs with Different Supports. December. British Standards Institution. 1997. Bs 8110-1:1997. British Standard Institution London, 1, 168.
  • Chen, W. F., & Sohal, I. 1995. Plastic Design and Second-Order Analysis of Steel Frames. In Plastic Design and Second-Order Analysis of Steel Frames. https://doi.org/10.1007/978-1-4613-8428-1
  • Farouk, M. A., Alzara, M., and Samir El-kady, M. 2018. Computing redistribution moments in the plastic stage by using linear analysis. Innovative Infrastructure Solutions, 3(1). https://doi.org/10.1007/ s41062-018-0143-6.
  • Hibbeler, R. C. 2012. Structutal Analysis.
  • Horne, M. R., And Fruchtlander, A. 1954. Correspondence. a Moment Distribution Method for the Analysis and Design of Structures By the Plastic Theory. Proceedings of the Institution of Civil Engineers, 3(4), 594–597. https://doi.org/10.1680/ipeds.1954.12588
  • Moy, S. S. J. 2013. Plastic Method for Steel and Concrete Strucutres. In Journal of Chemical Information and Modeling (Vol. 53, Issue 9).
  • Singh, A. K. 2011. Plastic deformation. Encyclopedia of Earth Sciences Series, Part 3, 864. https://doi. org/10.1007/978-90-481-2642-2_688.
  • Stark, J. W. B., & Brekelmans, J. W. P. M. 1990. Plastic design of continuous composite slabs. Journal of Constructional Steel Research, 15(1–2), 23–47. https://doi.org/10.1016/0143-974X(90)90041-E.
  • Vančík, V., and Jirásek, M. 2016. Computer-Aided Plastic Limit Analysis of Plates. Applied Mechanics and Materials, 821, 547–554. https://doi.org/10.4028/www.scientific.net/amm.821.547
There are 10 citations in total.

Details

Primary Language English
Subjects Civil Engineering
Journal Section Research Article
Authors

Saif Sadek 0000-0002-4152-6346

Tuncer Çelik This is me 0000-0002-3011-299X

Publication Date December 31, 2021
Submission Date June 8, 2021
Acceptance Date December 4, 2021
Published in Issue Year 2021 Volume: 5 Issue: 2

Cite

APA Sadek, S., & Çelik, T. (2021). Reliability of Design of Floor Slab Systems Using Plastic Moment Distribution Method. AURUM Journal of Engineering Systems and Architecture, 5(2), 261-278. https://doi.org/10.53600/ajesa.949825