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Flexural behavior of cellular composite beams with full shear interaction under sagging moment

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Abstract

The current European Standard (EN 1994-1-1: Eurocode 4) put forth a reduction factor for Solid Composite Beam (SCB) with Class 1 and 2 sections for the design moment of resistance for sagging bending. This paper presents the analytical study on the behavior of Cellular Composite Beam (CCB) and proposes the reduction factor for the ultimate moment capacity of CCB sections. A moment-curvature program based on the strain compatibility method has been developed and used to examine the behavior of CCB made of S355, S460, and hybrid strength steel sections with different geometries. The program involves elastoplastic analysis since it is crucial to explore how the cellularity of the composite sections increases their curvature ductility, flexural resistance, and material utilization under high strain. The developed program has been validated against FE results, available test data, and ACB+ software solutions. A parametric study has been carried out to determine the effect of steel grade, concrete grade, effective width and depth of the slab, and varying sizes of a web opening on CCB sections. The Eurocode 4 design guidelines were used to determine the bending resistance of CCB for S355, S460, and hybrid-strength steel sections. The parametric study showed that high-strength concrete with a wider effective slab and enhanced depth sections with the lowest web opening causes CCB sections to have a higher ultimate moment and ultimate curvature. Comparing the hybrid CCB section to the regular and high-strength sections also showcases a significant enhancement in ductility and moment capacity.

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References

  1. Rossi A, Nicoletti R S, de Souza A S C and Martins C H 2020 Numerical assessment of lateral distortional buckling in steel-concrete composite beams. J. Constr. Steel Res. 172: 106192. https://doi.org/10.1016/j.jcsr.2020.106192

    Article  Google Scholar 

  2. Odrobinak J, Vican J and Bujnak J 2013 Verification of composite steel-concrete bridge behavior. Procedia Eng. 65: 440–446. https://doi.org/10.1016/j.proeng.2013.09.069

    Article  Google Scholar 

  3. Ferreira F P V, Martins C H and de Nardin S 2020 Advances in composite beams with web openings and composite cellular beams. J. Constr. Steel Res. 172. https://doi.org/10.1016/j.jcsr.2020.106182

  4. Darwin D and Donahey R C 1988 LRFD for composite beams with unreinforced web openings. Journal of Structural Engineering 114. American Society of Civil Engineers: 535–552

  5. Queiroz F D, Vellasco P C G S and Nethercot D A 2007 Finite element modelling of composite beams with full and partial shear connection. J. Constr. Steel Res. 63: 505–521. https://doi.org/10.1016/j.jcsr.2006.06.003

    Article  Google Scholar 

  6. Chung K F, Ko C H and Wang A J 2005 Design of steel and composite beams with web openings - Verification using finite element method. Steel and Composite Structures 5: 203–233. https://doi.org/10.12989/scs.2005.5.2_3.203

    Article  Google Scholar 

  7. Ferreira F P V, Martins C H and De Nardin S 2021 Assessment of web post buckling resistance in steel-concrete composite cellular beams. Thin-Walled Structures 158: 106969. https://doi.org/10.1016/j.tws.2020.106969

    Article  Google Scholar 

  8. Ellobody E 2012 Nonlinear analysis of cellular steel beams under combined buckling modes. Thin-Walled Structures 52: 66–79. https://doi.org/10.1016/j.tws.2011.12.009

    Article  Google Scholar 

  9. El-Sawy K M, Sweedan A M I and Martini M I 2014 Moment gradient factor of cellular steel beams under inelastic flexure. J. Constr. Steel Res. 98: 20–34. https://doi.org/10.1016/j.jcsr.2014.02.007

    Article  Google Scholar 

  10. Panedpojaman P, Thepchatri T and Limkatanyu S 2014 Novel design equations for shear strength of local web-post buckling in cellular beams. Thin-Walled Structures 76: 92–104. https://doi.org/10.1016/j.tws.2013.11.007

    Article  Google Scholar 

  11. Donahey R C and Darwin D 1988 Web Openings in Composite Beams with Ribbed Slabs. Journal of Structural Engineering 114: 518–534. https://doi.org/10.1061/(asce)0733-9445(1988)114:3(518)

    Article  Google Scholar 

  12. Sheehan T, Dai X H, Lam D, Aggelopoulos E, Lawson M and Obiala R 2016 Experimental study on long spanning composite cellular beam under flexure and shear. J. Constr. Steel Res. 116: 40–54. https://doi.org/10.1016/j.jcsr.2015.08.047

    Article  Google Scholar 

  13. Kerdal D and Nethercot D A 1984 Failure modes for castellated beams. J. Constr. Steel Res. 4: 295–315. https://doi.org/10.1016/0143-974X(84)90004-X

    Article  Google Scholar 

  14. Redwood R and Cho S H 1993 Design of steel and composite beams with web openings. J. Constr. Steel Res. 25: 23–41. https://doi.org/10.1016/0143-974X(93)90050-3

    Article  Google Scholar 

  15. Tsavdaridis K D and D’Mello C 2012 Vierendeel Bending Study of Perforated Steel Beams with Various Novel Web Opening Shapes through Nonlinear Finite-Element Analyses. Journal of Structural Engineering 138: 1214–1230. https://doi.org/10.1061/(asce)st.1943-541x.0000562

    Article  Google Scholar 

  16. Panedpojaman P, Thepchatri T and Limkatanyu S 2015 Novel simplified equations for Vierendeel design of beams with (elongated) circular openings. J. Constr. Steel Res. 112: 10–21. https://doi.org/10.1016/j.jcsr.2015.04.007

    Article  Google Scholar 

  17. Teware P R and Khatri A P 2023 Effect of confinement on cross-sectional performance of steel–concrete composite beams with solid and cellular steel sections. Curr. Sci. 124: 1401–1411. https://doi.org/10.18520/cs/v124/i12/1401-1411

    Article  CAS  Google Scholar 

  18. Lawson R M, Lim J B P and Popo-Ola S O 2013 Pull-out forces in shear connectors in composite beams with large web openings. J. Constr. Steel Res. 87: 48–59. https://doi.org/10.1016/j.jcsr.2013.03.025

    Article  Google Scholar 

  19. Lawson R M, Lim J, Hicks S J and Simms W I 2006 Design of composite asymmetric cellular beams and beams with large web openings. J. Constr. Steel Res. 62: 614–629. https://doi.org/10.1016/j.jcsr.2005.09.012

    Article  Google Scholar 

  20. Cho S H 1982 An investigation on the strength of composite beams with web openings. Master of Eng. thesis, Hanyang Univ., Seoul, Korea

  21. Park J W, Kim C H and Yang S C 2003 Ultimate Strength of Ribbed Slab Composite Beams with Web Openings. Journal of Structural Engineering 129: 810–817. https://doi.org/10.1061/(asce)0733-9445(2003)129:6(810)

    Article  Google Scholar 

  22. Granade C J 1968 An investigation of composite beams having large rectangular openings in their webs. Master’s Thesis, University of Alabama at Tuscaloosa

  23. Redwood R G and Poumbouras G 1983 Tests of Composite Beams With Web Holes. Canadian journal of civil engineering 10. American Society of Civil Engineers: 713–721. https://doi.org/10.1139/l83-100

  24. Clawson W C and Darwin D 1982 Tests of composite beams with web openings. Journal of the Structural Division 108. American Society of Civil Engineers: 145–162

  25. Redwood R G, and Wong P K 1982 Web Holes in Composite Beams With Steel Deck. In: Canadian Structural Engineering Conference

  26. Redwood R G and Poumbouras G 1985 Analysis of composite beams with web openings. Journal of Structural Engineering 110: 1949–1958

    Article  Google Scholar 

  27. Fahmy E H 1996 Analysis of Composite Beams with Rectangular Web Openings. J. Constr. Steel Res. 37: 47–62. https://doi.org/10.1016/0143-974X(95)00022-N

    Article  Google Scholar 

  28. Chung K F and Lawson R M 2001 Simplified design of composite beams with large web openings to Eurocode 4. J. Constr. Steel Res. 57: 135–164. https://doi.org/10.1016/S0143-974X(00)00011-0

    Article  Google Scholar 

  29. Müller C, Hechler O, Bureau A, Bitar D, Joyeux D, Cajot LG, Demarco T, Lawson R M, Hicks S and Devine P 2006 Large web openings for service integration in composite floors. EUR. European Commission: 1–120

  30. Hechler O, Müller C and Sedlacek G 2006 Investigations on Beams with Multiple Regular Web Openings. Composite Construction in Steel and Concrete V: 390–401

  31. Nadjai A, Vassart O, Ali F, Talamona D, Allam A and Hawes M 2007 Performance of cellular composite floor beams at elevated temperatures. Fire Saf. J. 42: 489–497. https://doi.org/10.1016/j.firesaf.2007.05.001

    Article  Google Scholar 

  32. Verweij J G 2007 Cellular Beam-Columns in Portal Frame Structure. Delft University of Technology

  33. Zhou W B and Yan W J 2017 Refined nonlinear finite element modelling towards ultimate bending moment calculation for concrete composite beams under negative moment. Thin-Walled Structures 116: 201–211. https://doi.org/10.1016/j.tws.2017.02.011

    Article  Google Scholar 

  34. Guo Y T, Chen J, Nie X, Tao M X, Wang J J and Fan J S 2020 Investigation of the shear resistances of steel–concrete–steel composite structures with bidirectional webs. J. Constr. Steel Res. 164: 105846. https://doi.org/10.1016/j.jcsr.2019.105846

    Article  Google Scholar 

  35. He J, Liu Y, Chen A and Yoda T 2012 Shear behavior of partially encased composite I-girder with corrugated steel web: Experimental study. J. Constr. Steel Res. 77: 193–209. https://doi.org/10.1016/j.jcsr.2012.05.005

    Article  Google Scholar 

  36. Vijayakumar R and Pannirselvam N 2020 Behaviour of a new type of shear connector for steel-concrete composite construction. Mater. Today Proc. 40: S154–S160. https://doi.org/10.1016/j.matpr.2020.05.024

    Article  Google Scholar 

  37. Zou X, Feng P, Bao Y, Wang J and Xin H 2020 Experimental and analytical studies on shear behaviors of FRP-concrete composite sections. Eng. Struct. 215: 110649. https://doi.org/10.1016/j.engstruct.2020.110649

    Article  Google Scholar 

  38. He J, Wang S, Liu Y, Wang D and Xin H 2020 Shear behavior of steel I-girder with stiffened corrugated web, Part II: Numerical study. Thin-Walled Structures 147: 1. https://doi.org/10.1016/j.tws.2019.02.023

    Article  Google Scholar 

  39. Roberts T M, and Al-Amery R I M 1991 Shear Strength of Composite Plate Girders with Web Cutouts. Journal of Structural Engineering 117: 1897–1910.

  40. Narayanan R, Al-Amery R I M and Roberts T M 1989 Shear strength of composite plate girders with rectangular web cut-outs. J. Constr. Steel Res. 12: 151–166. https://doi.org/10.1016/0143-974X(89)90030-8

    Article  Google Scholar 

  41. Shanmugam N E, Darehshouri S F and Osman S A 2014 Experimental study on composite plate girders with web opening. Proceedings of the Institution of Civil Engineers: Structures and Buildings 167: 704–717. https://doi.org/10.1680/stbu.13.00043

    Article  Google Scholar 

  42. Chen T, Gu X and Li H 2011 Behavior of steel-concrete composite cantilever beams with web openings under negative moment. International Journal of Steel Structures 11: 39–49. https://doi.org/10.1007/S13296-011-1004-8

    Article  Google Scholar 

  43. Li L, Liao W, Wang J and Zhou D 2015 Behavior of continuous steel-concrete composite beams with web openings. International Journal of Steel Structures 15: 989–997. https://doi.org/10.1007/s13296-015-1218-2

    Article  Google Scholar 

  44. Gizejowski M A and Khalil W A S 2010 Stability and ductility of castellated composite beams subjected to hogging bending. Proceedings of SDSS’ Rio 2010: International Colloquium Stability and Ductility of Steel Structures 2: 839–846

  45. Todd D M and Cooper P B 1980 Strength of Composite Beams With Web Openings. ASCE J. Struct. Div. 106: 431–444. https://doi.org/10.1061/jsdeag.0005366

    Article  Google Scholar 

  46. Donoghue C M 1982 Composite beams with web openings: design. Journal of the Structural Division 108. American Society of Civil Engineers: 2652–2667

  47. BS 5950-4 2004 British Standard: Structural use of Steelwork in Building. Part 4: Code of Practice for Design of Composite Slabs with Profiled Steel Sheeting

  48. EN 1994-1-1 2004 Eurocode 4: Design of Composite Steel and Concrete Structures- Part 1-1: General Rules and Rules for Buildings. CEN: Bruxelles

  49. Lawson R M and Hicks S J 2011 Design of beams with large web openings (SCI P355). The Steel Construction Institute, UK: 1–117

  50. ANSI/AISC 360-16 2016 American Institute of Steel Construction-Specification for Structural Steel Buildings. Chicago AISC.: 1–612

  51. ACB+ V4.0 2020 ArcelorMittal Cellular Beams Software-ACB+V4.0. Long Carbon Europe Research Centre, Arcelor Mittal. Esch-sur-Alzette, Luxembourg

  52. EN 1992-1-1 2004 Eurocode 2: Design of Concrete Strucutres. Part 1-1: General Rules and Rules for Buildings. CEN

  53. Bruneau M, Uang C-M and Sabelli R 2021 Ductile design of CBF steel structures. Improvement of Buildings’ Structural Quality by New Technologies. McGraw-Hill Education.. https://doi.org/10.1201/9780203970843-75

    Article  Google Scholar 

  54. EN 1993-1-5 2006 Eurocode 3: Design of Steel Structures. Part 1-5: General Rules - Plated Structural Elements. CEN; BSI, London, UK

  55. ABAQUS 2014 ABAQUS User Manual - Version 6.14. USA: Dassault Systemes Simulia Corp., Providence; USA

  56. Wosatko A, Winnicki A, Polak M A and Pamin J 2019 Role of dilatancy angle in plasticity-based models of concrete. Archives of Civil and Mechanical Engineering 19. Politechnika Wrocławska: 1268–1283. https://doi.org/10.1016/j.acme.2019.07.003

  57. Alfarah B, López-Almansa F and Oller S 2017 New methodology for calculating damage variables evolution in Plastic Damage Model for RC structures. Eng. Struct 132: 70–86. https://doi.org/10.1016/j.engstruct.2016.11.022

    Article  Google Scholar 

  58. Tahmasebinia F, Ranzi G and Zona A 2012 Beam tests of composite steel-concrete members: A three-dimensional finite element model. International Journal of Steel Structures 12: 37–45. https://doi.org/10.1007/s13296-012-1004-3

    Article  Google Scholar 

  59. Hafezolghorani M, Hejazi F, Vaghei R, Jaafar M S and bin and Karimzade K, 2017 Simplified damage plasticity model for concrete. Structural Engineering International 27: 68–78. https://doi.org/10.2749/101686616X1081

    Article  Google Scholar 

  60. Tsavdaridis K D and D’Mello C 2011 Web buckling study of the behaviour and strength of perforated steel beams with different novel web opening shapes. J. Constr. Steel Res. 67: 1605–1620. https://doi.org/10.1016/j.jcsr.2011.04.004

    Article  Google Scholar 

  61. Djebli B, Elddine D and Abidelah A 2019 Additional and total deflection of composite symmetric cellular beams. J. Constr. Steel Res. 158: 99–106. https://doi.org/10.1016/j.jcsr.2019.03.015

    Article  Google Scholar 

  62. Chapman J C and Balakrishnan S 1964 Experiments on composite beams. The Structural Engineer 42: 369–383

    Google Scholar 

  63. Uy B and Sloane R J 1998 Behaviour of composite tee beams constructed with high strength steel. J. Constr. Steel Res. 46: 203–204. https://doi.org/10.1016/S0143-974X(98)00126-6

    Article  Google Scholar 

  64. Ban H, Bradford M A, Uy B and Liu X 2016 Available rotation capacity of composite beams with high-strength materials under sagging moment. J. Constr. Steel Res. 118: 156–168. https://doi.org/10.1016/j.jcsr.2015.11.008

    Article  Google Scholar 

  65. Shamass R and Cashell K A 2017 Behaviour of Composite Beams Made Using High Strength Steel. Structures 12: 88–101. https://doi.org/10.1016/j.istruc.2017.08.005

    Article  Google Scholar 

  66. EN 1993-1-1 2005 Eurocode 3: Design of Steel Structures. Part 1-1: General Rules and Rules for Structures. CEN; BSI, London, UK

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Teware, P.R., Khatri, A.P. Flexural behavior of cellular composite beams with full shear interaction under sagging moment. Sādhanā 49, 107 (2024). https://doi.org/10.1007/s12046-024-02445-8

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