![](/develop/static/imgs/pdf.png)
An innovative model for predicting the displacement and rotation of column-tree moment connection under fire
Mohammad Ali NAGHSH, Aydin SHISHEGARAN, Behnam KARAMI, Timon RABCZUK, Arshia SHISHEGARAN, Hamed TAGHAVIZADEH, Mehdi MORADI
An innovative model for predicting the displacement and rotation of column-tree moment connection under fire
In this study, we carried out nonlinear finite element simulations to predict the performance of a column-tree moment connection (CTMC) under fire and static loads. We also conducted a detailed parameter study based on five input variables, including the applied temperature, number of flange bolts, number of web bolts, length of the beam, and applied static loads. The first variable is changed among seven levels, whereas the other variables are changed among three levels. Employing the Taguchi method for variables 2–5 and their levels, 9 samples were designed for the parameter study, where each sample was exposed to 7 different temperatures yielding 63 outputs. The related variables for each output are imported for the training and testing of different surrogate models. These surrogate models include a multiple linear regression (MLR), multiple Ln equation regression (MLnER), an adaptive network-based fuzzy inference system (ANFIS), and gene expression programming (GEP). 44 samples were used for training randomly while the remaining samples were employed for testing. We show that GEP outperforms MLR, MLnER, and ANFIS. The results indicate that the rotation and deflection of the CTMC depend on the temperature. In addition, the fire resistance increases with a decrease in the beam length; thus, a shorter beam can increase the fire resistance of the building. The numbers of flanges and web bolts slightly affect the rotation and displacement of the CTMCs at temperatures of above 400°C.
column-tree moment connection / Finite element model / parametric study / fire / regression models / gene expression programming
[1] |
NIST. Final Report on the Collapse of the World Trade Center Towers. Report NIST NCSTAR 1. Gaithersburg Maryland: National Institute of Standards and Technology, 2005
|
[2] |
FEMA. World Trade Center Building Performance Study: Data Collection, Preliminary Observations, and Recommendations, FEMA-403. Washington, D.C.: Federal Emergency Management Agency, 2002
|
[3] |
Chung H Y, Lee C H, Su W J, Lin R Z. Application of fire-resistant steel to beam-to-column moment connections at elevated temperatures. Journal of Constructional Steel Research, 2010, 66(2): 289–303
CrossRef
Google scholar
|
[4] |
Al-Jabri K S, Lennon T, Burgess I W, Plank R J. Behaviour of steel and composite beam-column connections in fire. Journal of Constructional Steel Research, 1998, 46(1–3): 308–309
CrossRef
Google scholar
|
[5] |
Al-Jabri K S, Burgess I W, Lennon T, Plank R J. Moment-rotation-temperature curves for semi-rigid joints. Journal of Constructional Steel Research, 2005, 61(3): 281–303
CrossRef
Google scholar
|
[6] |
Shishegaran A, Rahimi S, Darabi H. Introducing box-plate beam-to-column moment connections. Vibroengineering Procedia, 2017, 11: 200–204
CrossRef
Google scholar
|
[7] |
Spyrou S, Davison J B, Burgess I W, Plank R J. Experimental and analytical investigation of the ‘compression zone’ components within a steel joint at elevated temperatures. Journal of Constructional Steel Research, 2004, 60(6): 841–865
CrossRef
Google scholar
|
[8] |
Al-Jabri K S. Component-based model of the behaviour of flexible end-plate connections at elevated temperatures. Composite Structures, 2004, 66(1–4): 215–221
CrossRef
Google scholar
|
[9] |
Al-Jabri K S, Burgess I W, Plank R J. Spring-stiffness model for flexible end-plate bare-steel joints in fire. Journal of Constructional Steel Research, 2005, 61(12): 1672–1691
CrossRef
Google scholar
|
[10] |
Al-Jabri K S, Seibi A, Karrech A. Modelling of un-stiffened flush endplate bolted connections in fire. Journal of Constructional Steel Research, 2006, 62(1–2): 151–159
CrossRef
Google scholar
|
[11] |
Sarraj M, Burgess I W, Davison J B, Plank R J. Finite element modelling of steel fin plate connections in fire. Fire Safety Journal, 2007, 42(6–7): 408–415
CrossRef
Google scholar
|
[12] |
Qian Z H, Tan K H, Burgess I W. Behavior of steel beam-to-column joints at elevated temperature: Experimental investigation. Journal of Structural Engineering, 2008, 134(5): 713–726
CrossRef
Google scholar
|
[13] |
Yu H, Burgess I W, Davison J B, Plank R J. Experimental investigation of the behaviour of fin plate connections in fire. Journal of Constructional Steel Research, 2009, 65(3): 723–736
CrossRef
Google scholar
|
[14] |
Yu H, Burgess I W, Davison J B, Plank R J. Numerical simulation of bolted steel connections in fire using explicit dynamic analysis. Journal of Constructional Steel Research, 2008, 64(5): 515–525
CrossRef
Google scholar
|
[15] |
Sun R R, Burgess I W, Huang Z H, Dong G. Progressive failure modelling and ductility demand of steel beam-to-column connection in fire. Engineering Structures, 2015, 89: 66–78
CrossRef
Google scholar
|
[16] |
Burgess I, Davison J B, Dong G, Huang S S. The role of connections in the response of steel frames to fire. Structural Engineering International, 2012, 22(4): 449–461
CrossRef
Google scholar
|
[17] |
Yu H X, Burgess I W, Davison J B, Plank R J. Experimental and numerical investigations of the behaviour of flush endplate connections at elevated temperatures. Journal of Structural Engineering, 2011, 137(1): 80–87
CrossRef
Google scholar
|
[18] |
Dwaikat M, Kodur V. Engineering approach for predicting fire response of restrained steel beams. Journal of Engineering Mechanics, 2011, 137(7): 447–461
CrossRef
Google scholar
|
[19] |
Dwaikat M, Kodur V. A performance based methodology for fire design of restrained steel beams. Journal of Constructional Steel Research, 2011, 67(3): 510–524
CrossRef
Google scholar
|
[20] |
Desombre J, Rodgers G W, MacRae G A, Rabczuk T, Dhakal R P, Chase J G. Experimentally validated FEA models of HF2V damage free steel connections for use in full structural analyses. Journal of Structural Engineering and Mechanics, 2011, 37(4): 385–399
|
[21] |
Samanta S, Nanthakumar S S, Annabattula R K, Zhuang X. Detection of void and metallic inclusion in 2D piezoelectric cantilever beam using impedance measurements. Frontiers of Structural and Civil Engineering, 2019, 13(3): 542–556
CrossRef
Google scholar
|
[22] |
Rabczuk T, Eibl J. Numerical analysis of prestressed concrete beams using a coupled element free Galerkin/finite element approach. International Journal of Solids and Structures, 2004, 41(3–4): 1061–1080
CrossRef
Google scholar
|
[23] |
Rabczuk T, Zi G. Numerical fracture analysis of prestressed concrete beams. International Journal of Concrete Structures and Materials, 2008, 2(2): 153–160
CrossRef
Google scholar
|
[24] |
Areias P, Pires M, Bac N V, Rabczuk T. An objective and path-independent 3D finite-strain beam with least-squares assumed-strain formulation. Computational Mechanics, 2019, 64(4): 1115–1131
CrossRef
Google scholar
|
[25] |
Vu-Bac N, Silani M, Lahmer T, Zhuang X, Rabczuk T. A unified framework for stochastic predictions of mechanical properties of polymeric nanocomposites. Computational Materials Science, 2015, 96: 520–535
CrossRef
Google scholar
|
[26] |
Sun R R, Huang Z H, Burgess I W. Progressive collapse analysis of steel structures under fire conditions. Engineering Structures, 2012, 34: 400–413
CrossRef
Google scholar
|
[27] |
Sun R R, Huang Z H, Burgess I W. The collapse behaviour of braced steel frames exposed to fire. Journal of Constructional Steel Research, 2012, 72: 130–142
CrossRef
Google scholar
|
[28] |
Sun R R, Huang Z H, Burgess I W. A static/dynamic procedure for collapse analysis of structure in fire. In: Proceeding of Fire Safety Engineering in the UK: the State of the Art. Edinburgh: Fireseat, 2010, 37–42
|
[29] |
Shishegaran A, Khalili M R, Karami B, Rabczuk T, Shishegaran A. Computational predictions for estimating the maximum deflection of reinforced concrete panels subjected to the blast load. International Journal of Impact Engineering, 2020, 139: 103527
CrossRef
Google scholar
|
[30] |
Shishegaran A, Amiri A, Jafari M A. Seismic performance of box-plate, box-plate with UNP, box-plate with L-plate and ordinary rigid beam-to-column moment connections. Journal of Vibroengineering, 2018, 20(3): 1470–1487
CrossRef
Google scholar
|
[31] |
Gholizadeh S, Pirmoz A, Attarnejad R. Assessment of load carrying capacity of castellated steel beams by neural networks. Journal of Constructional Steel Research, 2011, 67(5): 770–779
CrossRef
Google scholar
|
[32] |
ASTM F3125/F3125M–18. Standard Specification for High Strength Structural Bolts and Assemblies, Steel and Alloy Steel, Heat Treated, Inch Dimensions 120 ksi and 150 ksi Minimum Tensile Strength, and Metric Dimensions 830 MPa and 1040 MPa Minimum Tensile Strength. West Conshohocken, PA: ASTM International, 2018
|
[33] |
ISO I. 834: Fire Resistance Tests-Elements of Building Construction. Geneva: International Organization for Standardization, 1999
|
[34] |
CEN. Eurocode 3: Design of Steel Structures, Part 1.2: General Rules-Structural Fire Design. Brussels: European Committee for Standardization, 2005
|
[35] |
Shishegaran A, Ghasemi M R, Varaee H. Performance of a novel bent-up bars system not interacting with concrete. Frontiers of Structural and Civil Engineering, 2019, 13(6): 1301–1315
CrossRef
Google scholar
|
[36] |
Takagi T, Sugeno M. Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 1985, SMC-15(1): 116–132
CrossRef
Google scholar
|
[37] |
Jang J S. ANFIS: adaptive-network-based fuzzy inference system. IEEE Transactions on Systems, Man, and Cybernetics, 1993, 23(3): 665–685
CrossRef
Google scholar
|
[38] |
Ferreira C. Gene expression programming in problem solving. In: Soft Computing and Industry. London: Springer, 2002, 635–653
|
[39] |
Bates J M, Granger C W. The combination of forecasts. Journal of the Operational Research Society, 1969, 20(4): 451–468
CrossRef
Google scholar
|
/
〈 |
|
〉 |