Today, industrial designers typically rely on two main methods to estimate the external load distribution in bolted assemblies. The first is an analytical model based on the assumption of perfectly rigid bodies, which often fails to accurately identify the critical bolt and its corresponding load. The second method involves Finite Element Analysis (FEA), which is known for its precision but requires significant time, specialized software, and technical expertise. This paper introduces a new analytical approach designed to assist engineers in distributing external loads across connection points, thereby identifying critical connections and their associated loading conditions. The proposed method incorporates key parameters that influence the behavior of each connection point, including its position relative to the applied load, preload, local stiffness, component elasticity, and friction coefficient. The conceptual framework of this approach is presented, along with the derivation of the primary formula used for load distribution calculations. Additional formulas are referenced with appropriate sources. Furthermore, this paper provides FEA simulations and experimental results to validate and discuss the effectiveness of the proposed method. Finally, conclusions are drawn, and future research directions are outlined.
NF E 25030 (2014) Fixations—Assemblages vissés à filetage métrique ISO—Partie 2: Règles de conception pour les assemblages précontraints—Démarche complete.
[3]
Theorical Handbook of CETIM-COBRA Software. https://www.cetim.fr/logiciels/cetim-cobra/
[4]
EN 13001-3.4 (2018) Cranes—General Design—Part 3-4: Limit States and Proof of Competence of Machinery—Bearings.
[5]
Guillot, J. (1989) Assemblages par éléments filetés, Techniques de l’Ingénieur, traité Génie mécanique-B 5 560.
[6]
Guillot, J. (1997) Assemblages par éléments filetés. Modélisation et calcul: Techniques de l’Ingénieur BM 5 563.
[7]
Alkatan, F. (2005) Modélisation des raideurs des assemblages par éléments filetés précontraints. Master’s Thesis, INSA de Toulouse.
[8]
Massol, J. (1998) Étude des assemblages boulonnés à chargement faiblement excentré soumis à des sollicitations de fatigue. Master’s Thesis, INSA de Toulouse.
[9]
NF EN 1993-1-8 (2005) Eurocode 3—Calcul des structures en acier—Partie 1-8: Calcul des assemblages.
[10]
BNCM/CNC2M—N0175 (2015) Recommandation pour le tensionnement des assemblages selon la NF 1993-1-8.
[11]
Offshore Standards—DNVGL-OS-C101 (2019) Design of Offshore Steel Structures, General—LRFD Method
[12]
Bickford, J.H. (2007) Introduction to the Design and Behavior of Bolted Joints Non-Gasketed Joints. Fourth Edition, CRC Press.
[13]
Robert, W. and Messler, J.R. (1993) Joining of advanced Material. Butterworth-Heinemann.
[14]
Welch, M. (2018) Classical Analysis of Preloaded Bolted Joint Load Distributions. InternationalJournalofStructuralIntegrity, 9, 455-464. https://doi.org/10.1108/ijsi-07-2017-0045
[15]
Welch, M. (2019) A Paradigm for the Analysis of Preloaded Bolted Joints. Strojníckyčasopis—JournalofMechanicalEngineering, 69, 143-152. https://doi.org/10.2478/scjme-2019-0012
[16]
Sinthusiri, C. and Nassar, S.A. (2021) Load Distributions in Bolted Single Lap Joints under Non-Central Tensile Shear Loading. JournalofAdvancedJoiningProcesses, 3, Article ID: 100055. https://doi.org/10.1016/j.jajp.2021.100055
[17]
Chakhari, J. (2007) Modélisation d’une fixation par éléments filetés d’une structure à forte excentration de chargement et soumise à des sollicitations de fatigue. Master’s Thesis, INSA de Toulouse.
[18]
Paroissien, E. (2006) Contribution aux assemblages hybrides (boulonnés/collés)—Application aux jonctions aéronautiques. Master’s Thesis, Université de Toulouse III.
[19]
Konkong, N. and Phuvoravan, K. (2017) An Analytical Method for Determining the Load Distribution of Single-Column Multibolt Connection. AdvancesinCivilEngineering, 2017, Article ID: 1912724. https://doi.org/10.1155/2017/1912724
[20]
Kulak, G.L., Fisher, J.W. and Struik, J.H.A. (1987) Guide to Design Criteria for Bolted and Riveted Joints. 2nd Edition, American Institute of Steel Construction, Inc.
[21]
Kawecki, P. and Kozlowski, A. (2020) Experimental Investigation of End-Plate Splices with Multiple Bolt Rows of Large Girders. JournalofConstructionalSteelResearch, 167, Article ID: 105859. https://doi.org/10.1016/j.jcsr.2019.105859
[22]
Chaib, Z. (2008) Étude du comportement des fixations par vis des couronnes de guidage de grand diamètre: Élaboration d’un outil de dimensionnement. Master’s Thesis, INSA de Toulouse.
[23]
Daidié, A., Chaib, Z. and Ghosn, A. (2008) 3D Simplified Finite Elements Analysis of Load and Contact Angle in a Slewing Ball Bearing. JournalofMechanicalDesign, 130, Article ID: 082601. https://doi.org/10.1115/1.2918915
[24]
Oman, S. and Nagode, M. (2017) Bolted Connection of an End-Plate Cantilever Beam: The Distribution of Operating Force. Strojniškivestnik—JournalofMechanicalEngineering, 63, 617-627. https://doi.org/10.5545/sv-jme.2017.4638