Pull-through capacity of bolted thin steel plate

Abstract

The loading capacity in the axial direction of a bolted thin steel plate was investigated. A refined numerical model of bolt was first constructed and then validated using existing experiment results. Parametrical analysis was performed to reveal the influences of geometric parameters, including the effective depth of the cap nut, the yield strength of the steel plate, the preload of the bolt, and shear force, on the ultimate loading capacity. Then, an analytical method was proposed to predict the ultimate load of the bolted thin steel plate. Results derived using the numerical and analytical methods were compared and the results indicated that the analytical method can accurately predict the pull-through capacity of bolted thin steel plates. The work reported in this paper can provide a simplified calculation method for the loading capacity in the axial direction of a bolt.

Keywords

bolted thin steel plate / refined numerical model / loading capacity / nonlinear spring element / analytical method

References

[1] Rabczuk T, Ren H, Zhuang X. A nonlocal operator method for partial differential equations with application to electromagnetic waveguide problem. Computers, Materials and Continua, 2019, 59(1): 31–55

[2] Ren H, Zhuang X, Cai Y, Rabczuk T. Dual-horizon peridynamics. International Journal for Numerical Methods in Engineering, 2016, 108(12): 1451–1476

[3] Ren H, Zhuang X, Rabczuk T. Dual-horizon peridynamics: A stable solution to varying horizons. Computer Methods in Applied Mechanics and Engineering, 2017, 318: 762–782

[4] Rabczuk T, Belytschko T. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799

[5] Areias P, Reinoso J, Camanho P P, César de Sá J, Rabczuk T. Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation. Engineering Fracture Mechanics, 2018, 189: 339–360

[6] Areias P, Rabczuk T. Steiner-point free edge cutting of tetrahedral meshes with applications in fracture. Finite Elements in Analysis and Design, 2017, 132: 27–41

[7] Kim T S, Kuwamura H. Finite element modeling of bolted connections in thin-walled stainless steel plates under static shear. Thin-walled Structures, 2007, 45(4): 407–421

[8] Abdelfattah F A, Ali abdo A A H. Reinforced connection for upgrading strength and efficiency of single angle tension members. International Journal of Steel Structures, 2016, 16(2): 637–645

[9] Ashakul A, Khampa K. Effect of plate properties on shear strength of bolt group in single plate connection. Steel and Composite Structures, 2014, 16(6): 611–637

[10] Sabuwala T, Linzell D, Krauthammer T. Finite element analysis of steel beam to column connections subjected to blast loads. International Journal of Impact Engineering, 2005, 31(7): 861–876

[11] Rahbari R, Tyas A, Buick Davison J, Stoddart E P. Web shear failure of angle-cleat connections loaded at high rates. Journal of Constructional Steel Research, 2014, 103: 37–48

[12] Grimsmo E L, Clausen A H, Aalberg A, Langseth M. A numerical study of beam-to-column joints subjected to impact. Engineering Structures, 2016, 120: 103–115

[13] Al-Rifaie A, Guan Z W, Jones S W, Wang Q. Lateral impact response of end-plate beam-column connections. Engineering Structures, 2017, 151: 221–234

[14] Ma S, Zhao Z, Nie W, Gui Y. A numerical model of fully grouted bolts considering the tri-linear shear bond-slip model. Tunnelling and Underground Space Technology, 2016, 54: 73–80

[15] Hwang H Y. Bolted joint torque setting using numerical simulation and experiments. Journal of Mechanical Science and Technology, 2013, 27(5): 1361–1371

[16] Zhao Z, Liang B, Liu H, Li Y. Simplified numerical model for high-strength bolted connections. Engineering Structures, 2018, 164: 119–127

[17] Grimsmo E L, Aalberg A, Langseth M, Clausen A H. Failure modes of bolt and nut assemblies under tensile loading. Journal of Constructional Steel Research, 2016, 126: 15–25

[18] Hu Y, Shen L, Nie S, Yang B, Sha W. FE simulation and experimental tests of high-strength structural bolts under tension. Journal of Constructional Steel Research, 2016, 126: 174–186

[19] Salih E L, Gardner L, Nethercot D A. Bearing failure in stainless steel bolted connections. Engineering Structures, 2011, 33(2): 549–562

[20] Alkatan F, Stephan P, Daidie A, Guillot J. Equivalent axial stiffness of various components in bolted joints subjected to axial loading. Finite Elements in Analysis and Design, 2007, 43(8): 589–598

[21] Varsani H, Tan E L, Singh B. Behaviour of innovative demountable shear connectors subjected to combined shear and axial tension. Ce/papers, 2017, 1(2–3): 1948–1955

[22] Saari W K, Hajjar J F, Schultz A E, Shield C K. Behavior of shear studs in steel frames with reinforced concrete infill walls. Journal of Constructional Steel Research, 2004, 60(10): 1453–1480

[23] Lee H C, Jin Y G, Hwang S K, Jung K H, Im Y T. Wedge tension test of a high-strength bolt of fully pearlitic high-carbon steel. Journal of Materials Processing Technology, 2011, 211(6): 1044–1050

[24] Turvey G J. Experimental evaluation of bolt pull-through in pultruded glass-fibre-reinforced polymer plate. Structures and Buildings, 2011, 164(5): 307–319

[25] Banbury A, Kelly D W, Jain L K. A study of fastener pull-through failure of composite laminates. Part 2: Failure prediction. Composite Structures, 1999, 45(4): 255–270

[26] Draganić H, Dokšanović T, Markulak D. Investigation of bearing failure in steel single bolt lap connections. Journal of Constructional Steel Research, 2014, 98: 59–72

[27] Areias P, Rabczuk T, Camanho P P. Initially rigid cohesive laws and fracture based on edge rotations. Computational Mechanics, 2013, 52(4): 931–947

[28] Areias P, Rabczuk T, Dias-da-Costa D. Element-wise fracture algorithm based on rotation of edges. Engineering Fracture Mechanics, 2013, 110: 113–137

[29] Zhang Y, Lackner R, Zeiml M, Mang H A. Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations. Computer Methods in Applied Mechanics and Engineering, 2015, 287: 335–366

[30] Zhang Y, Zhuang X. Cracking elements method for dynamic brittle fracture. Theoretical and Applied Fracture Mechanics, 2019, 102: 1–9

[31] Zhang Y, Zhuang X. Cracking elements: A self-propagating strong discontinuity embedded approach for quasi-brittle fracture. Finite Elements in Analysis and Design, 2018, 144: 84–100

[32] Zhang Y, Zhuang X. A softening-healing law for self-healing quasi-brittle materials: Analyzing with strong discontinuity embedded approach. Engineering Fracture Mechanics, 2018, 192: 290–306

[33] Ren H, Zhuang X, Cai Y, Rabczuk T. Dual-horizon peridynamics. International Journal for Numerical Methods in Engineering, 2016, 108(12): 1451–1476

[34] Ren H, Zhuang X, Rabczuk T. Dual-horizon peridynamics: A stable solution to varying horizons. Computer Methods in Applied Mechanics and Engineering, 2017, 318: 762–782

[35] Rabczuk T, Ren H. A peridynamics formulation for quasi-static fracture and contact in rock. Engineering Geology, 2017, 225: 42–48

[36] Han F, Lubineau G, Azdoud Y, Askari A. A morphing approach to couple state-based peridynamics with classical continuum mechanics. Computer Methods in Applied Mechanics and Engineering, 2016, 301: 336–358

[37] Wu J Y, Qiu J F, Nguyen V P, Mandal T K, Zhuang L J. Computational modeling of localized failure in solids: XFEM vs PF-CZM. Computer Methods in Applied Mechanics and Engineering, 2018, 345: 618–643

[38] Ren H L, Zhuang X Y, Anitescu C, Rabczuk T. An explicit phase field method for brittle dynamic fracture. Computers & Structures, 2019, 217: 45–56

[39] Wu J Y, Nguyen V P. A length scale insensitive phase-field damage model for brittle fracture. Journal of the Mechanics and Physics of Solids, 2018, 119: 20–42

[40] Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343

[41] Rabczuk T, Belytschko T. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799

[42] Zhang Y. Multi-slicing strategy for the three-dimensional discontinuity layout optimization (3D DLO). International Journal for Numerical and Analytical Methods in Geomechanics, 2017, 41(4): 488–507

[43] Zhang Y, Zhuang X, Lackner R. Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization. International Journal for Numerical and Analytical Methods in Geomechanics, 2018, 42(11): 1199–1216

[44] Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31

[45] Hamdia K M, Silani M, Zhuang X, He P, Rabczuk T. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture, 2017, 206(2): 215–227

[46] Li Q, Gu Q, Su M, Chen A. Experiment of high-strength bolted connection behavior. Journal of Xi’an University of Science and Technology, 2003, 23(3): 322–327

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