{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T03:30:32Z","timestamp":1762054232832,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,6,8]],"date-time":"2022-06-08T00:00:00Z","timestamp":1654646400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>This paper presents a finite-element-based computational model to evaluate the thermal behaviour of composite slabs with a steel deck submitted to standard fire exposure. This computational model is used to estimate the temperatures in the slab components that contribute to the fire resistance according to the load-bearing criterion defined in the standards. The numerical results are validated with experimental results, and a parametric study of the effect of the thickness of the concrete on the temperatures of the slab components is presented. Composite slabs with normal or lightweight concrete and different steel deck geometries (trapezoidal and re-entrant) were considered in the simulations. In addition, the numerical temperatures are compared with those obtained using the simplified method provided by the standards. The results of the simulations show that the temperatures predicted by the simplified method led, in most cases, to an unsafe design of the composite slab. Based on the numerical results, a new analytical method, alternative to the simplified method, is defined in order to accurately determine the temperatures at the slab components and, thus, the bending resistance of the composite slabs under fire conditions.<\/jats:p>","DOI":"10.3390\/computation10060094","type":"journal-article","created":{"date-parts":[[2022,6,10]],"date-time":"2022-06-10T00:22:39Z","timestamp":1654820559000},"page":"94","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Modelling the Thermal Effects on Structural Components of Composite Slabs under Fire Conditions"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2431-8665","authenticated-orcid":false,"given":"Carlos","family":"Balsa","sequence":"first","affiliation":[{"name":"Research Centre in Digitalization and Intelligent Robotics (CeDRI), Instituto Polit\u00e9cnico de Bragan\u00e7a, 5300-253 Bragan\u00e7a, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matheus","family":"Silveira","sequence":"additional","affiliation":[{"name":"Campus Pato Branco, Universidade Tecnol\u00f3gica Federal do Paran\u00e1, Via do Conhecimento, s\/n-KM 01-Fraron, Pato Branco 85503-390, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Valerian","family":"Mange","sequence":"additional","affiliation":[{"name":"Ecole Nationale Sup\u00e9rieure d\u2019\u00c9lectrotechnique, d\u2019\u00c9lectronique, d\u2019Informatique, d\u2019Hydraulique et des T\u00e9l\u00e9communications, Institut National Polytechnique de Toulouse, Universit\u00e9 de Toulouse, CEDEX 7, 31071 Toulouse, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2834-0501","authenticated-orcid":false,"given":"Paulo A. G.","family":"Piloto","sequence":"additional","affiliation":[{"name":"Laborat\u00f3rio Associado de Energia, Transportes e Aeron\u00e1utica, Instituto Polit\u00e9cnico de Bragan\u00e7a, 5300-253 Bragan\u00e7a, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,8]]},"reference":[{"key":"ref_1","unstructured":"Hamerlinck, A.F. (1991). The Behaviour of Fire-Exposed Composite Steel\/Concrete Slabs. [Ph.D. Thesis, Eindhoven University of Technology]."},{"key":"ref_2","unstructured":"(2016). Fire Classification of Construction Products and Building Elements (Standard No. EN 13501-2)."},{"key":"ref_3","unstructured":"(1975). Fire-Resistance Tests: Elements of Building Construction (Standard No. ISO 834:1975)."},{"key":"ref_4","unstructured":"(2005). Design of Composite Steel and Concrete Structures. Part 1\u20132: General Rules\u2014Structural Fire Design (Standard No. EN 1994-1-2)."},{"key":"ref_5","unstructured":"ECCS (1983). Calculation of the Fire Resistance of Composite Concrete Slabs with Profiled Steel Sheet Exposed to the Standard Fire."},{"key":"ref_6","unstructured":"Both, C. (1998). The Fire Resistance of Composite Steel-Concrete Slabs, Delft University Press\u2014Civil Engineering and Geosciences. Technical Report."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"83","DOI":"10.14419\/ijet.v7i2.23.11889","article-title":"Numerical simulation of the fire resistance of composite slabs with steel deck","volume":"7","author":"Piloto","year":"2018","journal-title":"Int. J. Eng. Technol."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"48","DOI":"10.20319\/mijst.2019.52.4867","article-title":"Three-Dimensional Numerical Modelling of Fire Eexposed Composite Slab wit Steel Deck","volume":"5","author":"Piloto","year":"2019","journal-title":"MATTER Int. J. Sci. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.firesaf.2019.02.013","article-title":"Improved calculation method for insulation-based fire resistance of composite slabs","volume":"105","author":"Jiang","year":"2019","journal-title":"Fire Saf. J."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/s11786-020-00466-0","article-title":"Computational Simulation of the Thermal Effects on Composite Slabs Under Fire Conditions","volume":"15","author":"Piloto","year":"2020","journal-title":"Math. Comput. Sci."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Piloto, P.A.G., Balsa, C., Ribeiro, F.F., and Rigobello, R. (2020). Lecture Notes in Civil Engineering, Chapter 2\u2014Three-Dimensional Numerical Analysis on the Fire Behaviour of Composite Slabs with Steel Deck. Advances in Fire Safety Engineering, Springer.","DOI":"10.1007\/978-3-030-36240-9_2"},{"key":"ref_12","unstructured":"Piloto, P.A.G., Balsa, C., Ribeiro, F.F., and Rigobello, R. (2021). A new calculation method for the temperature of the components of composite slabs under fire. J. Comput. Appl. Mech."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1177\/0734904119892210","article-title":"Effect of the load level on the resistance of composite slabs with steel decking under fire conditions","volume":"38","author":"Piloto","year":"2020","journal-title":"J. Fire Sci."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"103295","DOI":"10.1016\/j.firesaf.2021.103295","article-title":"Thermal analysis of steel decking concrete slabs in case of fire","volume":"121","author":"Bolina","year":"2021","journal-title":"Fire Saf. J."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Balsa, C., Silveira, M.B., Mange, V., and Piloto, P.A.G. (2021). Computational Modeling of the Thermal Effects on Composite Slabs under Fire Conditions. Communications in Computer and Information Science, Springer.","DOI":"10.1007\/978-3-030-90241-4_38"},{"key":"ref_16","unstructured":"MathWorks (2016). Partial Differential Equation ToolboxTM User\u2019s Guide, The MathWorks, Inc.. Heat Transfer Problem with Temperature-Dependent Properties."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1875","DOI":"10.1007\/s11630-021-1517-1","article-title":"A Comprehensive Review on Multi-Dimensional Heat Conduction of Multi-Layer and Composite Structures: Analytical Solutions","volume":"30","author":"Delouei","year":"2021","journal-title":"J. Therm. Sci."},{"key":"ref_18","unstructured":"(2004). Design of Concrete Structures. Part 1\u20132: General Rules\u2014Structural Fire Design (Standard No. EN 1992-1-2)."},{"key":"ref_19","unstructured":"(2002). Design of Steel Structures. Part 1\u20132: General Rules\u2014Structural Fire Design Eurocode (Standard No. EN 1993-1-2)."},{"key":"ref_20","unstructured":"Cengel, Y.A., and Ghajar, A.J. (2014). Heat and Mass Transfer: Fundamentals and Applications, McGraw-Hill Education-Europe."},{"key":"ref_21","first-page":"1004","article-title":"The effect of variable properties and rotation in a visco-thermoelastic orthotropic annular cylinder under the Moore\u2013Gibson\u2013Thompson heat conduction model","volume":"235","author":"Aboueregal","year":"2021","journal-title":"Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl."},{"key":"ref_22","unstructured":"(2002). Actions on Structures\u2014Part 1\u20132: General Actions\u2014Action on Structures Exposed to Fire (Standard No. EN 1991-1-2)."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Reddy, J.N., and Gartling, D.K. (2010). The Finite Element Method in Heat Transfer and Fluid Dynamics, CRC Press. [3rd ed.].","DOI":"10.1201\/9781439882573"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/S1064827594276424","article-title":"The MATLAB ODE Suite","volume":"18","author":"Shampine","year":"1997","journal-title":"SIAM J. Sci. Comput."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1247","DOI":"10.5194\/gmd-7-1247-2014","article-title":"Root mean square error (RMSE) or mean absolute error (MAE)?\u2014Arguments against avoiding RMSE in the literature","volume":"7","author":"Chai","year":"2014","journal-title":"Geosci. Model Dev."},{"key":"ref_26","unstructured":"Lim, L., and Wade, C. (2002). Experimental Fire Tests of Two-Way Concrete Slabs\u2014Fire Engineering Research Report 02\/12, University of Canterbury. Technical Report."},{"key":"ref_27","first-page":"73","article-title":"Nonlinear optimization using the generalized reduced gradient method","volume":"8","author":"Lasdon","year":"1974","journal-title":"Rev. Fran\u00e7aise D\u2019automatique Inform. Rech. Op\u00e9rationnelle. Rech. Op\u00e9rationnelle"}],"container-title":["Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-3197\/10\/6\/94\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:26:28Z","timestamp":1760138788000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-3197\/10\/6\/94"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,8]]},"references-count":27,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2022,6]]}},"alternative-id":["computation10060094"],"URL":"https:\/\/doi.org\/10.3390\/computation10060094","relation":{},"ISSN":["2079-3197"],"issn-type":[{"type":"electronic","value":"2079-3197"}],"subject":[],"published":{"date-parts":[[2022,6,8]]}}}