Abstract
In this study, a new dovetail system of single-layer reticulated shell socketed joint (NDJs) of steel with excellent mechanical behaviour and economic benefits is suggested and investigated. Theoretical and numerical approaches were adopted to explore the influence of the different design parameters on the mechanical behaviour of NDJs under axial tension, compression forces and out-of-plane bending moment. First, NDJs exhibited two main failure modes under compressive force which occurred in the H-section beam and throat neck. On the other hand, the failure of the NDJs under tensile force occurred on the slot edges and hub ring, which means the NDJs TYS bearing capacity is responsive to slot edge width (\({\mathrm{d}}_{\mathrm{m}}\)) and hub ring thickness (\({\mathrm{d}}_{\mathrm{w}}\)). Moreover, the resisting bending failure characteristics of NDJs combined characteristics of resisting compressive and tensile forces. Second, formulae of compressive, tensile, and bending yield strength bearing capacity of NDJs were derived, and the average of analytical to numerical results was calculated. Analytical analysis results matched very well with the FEA results and showed a very high calculation validity and efficiency. Finally, NDJs shows excellent behaviour under different axial loads and bending moment comparing with other types of bolted or assembled joints with the same size or used materials.
Similar content being viewed by others
Abbreviations
- NDJs :
-
New Dovetail Joint system
- \({A}_{n}\) :
-
Slot design angle
- CYS :
-
Compressive yield strength
- t :
-
Gap between hub slot and throat tail
- TYS :
-
Tensile yield strength
- \({\varphi }_{1}\) :
-
Curvature angle
- BYS :
-
Bending yield strength
- \({T}_{neck}\) :
-
Tensile strength of the beam neck
- FEA :
-
Finite element analysis
- \({A}_{neck}\) :
-
Effective area of the beam neck
- FE :
-
Finite element
- \({T}_{hub}\) :
-
Tensile strength of the hub
- D :
-
Hub external diameter (mm)
- \({f}_{v}\) :
-
Material shear strength
- d :
-
Hub internal diameter (mm)
- \({f}_{y}\) :
-
Material yield strength
- \({d}_{s}\) :
-
Slot depth (mm)
- P :
-
Force
- \({d}_{w}\) :
-
Thickness of the hub ring (mm)
- \({T}_{ht}\) :
-
Theoretical TYS bearing capacity of NDJs
- \({d}_{t}\) :
-
Max thickness of the hub body
- \({T}_{hn}\) :
-
Numerical TYS bearing capacity of NDJs
- \({d}_{m}\) :
-
Width of the slot edge
- \(A\) :
-
Throat area
- r :
-
Emptied area3 diameter (mm)
- \(H\) :
-
Throat height
- \({L}_{s}\) :
-
Max width of hub slot (mm)
- \(L\) :
-
Throat length
- \({l}_{s}\) :
-
Min width of hub slot (mm)
- \(B\) :
-
The area of the upper or lower removed part
- H :
-
Hub height (mm)
- \({h}_{1}\) :
-
The height of removed part
- H :
-
Height of H-section beam (mm)
- \(\beta\) :
-
Throat slope ratio
- \({h}^{`}\) :
-
Tail height (mm)
- \({C}_{beam-throat}\) :
-
CYS bearing capacity of the beam
- \({L}_{B}\) :
-
Max width of beam tail (mm)
- \({A}_{\mathrm{t}hroat}\) :
-
Section area of the throat
- \({l}_{b}\) :
-
Min width of beam tail (mm)
- \({C}_{hub}\) :
-
CYS bearing capacity of NDJs hub
- \({f}_{b}\) :
-
Thickness of H-section beam web (mm)
- \({C}_{ht}\) and \({C}_{hn}\) :
-
Theoretical and numerical CYS bearing capacity of hub
- \({w}_{t}\) :
-
Thickness of H-section beam flange (mm)
- \({N}_{c}\) :
-
Axial compression force
- w :
-
H-section beam flange width (mm)
- \({A}_{beam}\) :
-
Area of H-section beam
- \({w}_{h}\) :
-
H-section beam web height (mm)
- \(\varphi\) :
-
Axially compressed member stability factor
- \({l}_{th}\) :
-
Length of the throat (mm)
- \({C}_{bt}\) and \({C}_{bn}\) :
-
Theoretical and numerical CYS bearing capacity of beam-throat
- \({s}^{`}\) :
-
Neck length (mm)
- \({C}_{jC}\) :
-
Beam to Hub CYS bearing capacities ratio
- \({t}_{h}\) :
-
Length of the H-section beam inserted tail (mm)
- \(\rho\) :
-
Reduction factor
- θ :
-
Slope angle of the throat
- \({M}_{Jt}\) and \({\mathrm{M}}_{\mathrm{Jn}}\) :
-
Theoretical and numerical BYS bearing capacity of NDJs
References
Adeoti, G. O., Fan, F., Huihuan, M. A., & Shen, S. (2019). Investigation of aluminium bolted joint (HBJ) system behavior. Thin-Walled Structures, 144, 106100.
Bazzaz, M., Kheyroddin, A., Kafi, M. A., & Andalib, Z. (2012). Evaluation of the seismic performance of off-centre bracing system with ductile element in steel frames. Steel and Composite Structures, 12(5), 445–464.
Bazzaz, M., Kafi, M. A., Kheyroddin, A., Andalib, Z., & Esmaeili, H. (2014). Evaluating the seismic performance of off-centre bracing system with circular element in optimum place. International Journal of Steel Structures, 14(2), 293–304.
Bazzaz, M., Andalib, Z., Kafi, M. A., & Kheyroddin, A. (2015). Evaluating the performance of OBS-C-O in steel frames under monotonic load. Earthquakes and Structures, 8(3), 697–710.
Chen, Z., Hao, Xu., Zhao, Z., Yan, X., & Zhao, B. (2016). Investigations on the mechanical behavior of suspend-dome with semirigid joints. Journal of Constructional Steel Research, 122, 14–24.
Chena, C., Qiu, H., & Yong, Lu. (2016). Flexural behavior of timber dovetail mortise–tenon joints. Construction and Building Materials, 112, 366–377.
Chinese standard “The hot-rolled H and cut T section steel” GB/T 11263–1998.
Chinese technical specification for space frame structures (JGJ7–2010).
Fan, F., Man, H., Cao, Z., & Shen, S. (2011). A new classification system for the joints used in lattice shells. Thin-Walled Structures, 49, 1544–1553.
Feng, R.-Q., Liu, F.-C., Yan, G., & Chang, X.-L. (2017). Mechanical behavior of Ring-sleeve joints of single-layer reticulated shells. Journal of Constructional Steel Research, 128, 601–610.
Feng, R.-Q., Wang, Xi., Chen, Y., & Cai, Qi. (2018). Static performance of double-ring joints for freeform single-layer grid shells subjected to a bending moment and shear force. Thin-Walled Structures, 131, 135–150.
Hajdarević, S., Martinović, S. (2014). Effect of tenon length on flexibility of mortise and tenon joint. Procedia Engineering, 69, 678–685.
Han, Q., Liu, Y., Zhang, J., & Ying, Xu. (2017). Mechanical behaviors of the assembled hub (AH) joints subjected to bending moment. Journal of Constructional Steel Research, 138, 806–822.
Han, Q., Liu, Y., Ying, Xu., & Li, Z. (2019). Mechanical behaviors of assembled hub joints subjected to axial loads. Journal of Constructional Steel Research, 153, 667–685.
Li, P., & Minger, Wu. (2016). Parametric study of cable-stiffened single-layer cylindrical latticed shells with different supporting conditions. Journal of Constructional Steel Research, 121, 457–467.
Li, X., Zhao, J., Ma, G., & Chen, W. (2015). Experimental study on the seismic performance of a double-span traditional timber frame. Engineering Structures, 98, 141–150.
Liu, H., Ding, Y., & Chen, Z. (2017). Static stability behavior of aluminum alloy single-layer spherical latticed shell structure with Temcor joints. Thin-Walled Structures, 120, 355–365.
Liu, H., Ying, J., Meng, Yi., & Chen, Z. (2019). Flexural behavior of double- and single-layer aluminum alloy gusset-type joints. Thin-Walled Structures, 144, 106263.
Lu, J., Liu, H., & Chen, Z. (2018). Behavior of welded hollow spherical joints after exposure to ISO-834 standard fire. Journal of Constructional Steel Research, 140, 108–124.
Ma, H., Fan, F., & Shen, S. (2008). Numerical parametric investigation of single-layer latticed domes with semi-rigid joints. Journal of the International Association for Shell and Spatial Structures, 49(2), 99–110.
Ma, H., Ren, S., & Fan, F. (2016). Experimental and numerical research on a new semi-rigid joint for single-layer reticulated structures. Engineering Structures, 126, 725–738.
Ma, Y. Y., Ma, H. H., Fan, F., & Yu, Z. W. (2019a). Experimental and theoretical analysis on static behavior of bolt-column joint under in-plane direction bending in single-layer reticulate shells. Thin-Walled Structures, 135, 472–485.
Ma, H., et al. (2019b). Mechanical performance of an improved semi-rigid joint system under bending and axial forces for aluminum single-layer reticulated shells. Thin-Walled Structures, 142, 322–339.
Ma, Y. Y., Ma, H. H., Ren, S., & Fan, F. (2020). Hysteretic behavior of a new assemble joint under out-of-plane bending: Experimental and numerical studies. Journal of Constructional Steel Research, 167, 105959.
Maa, H., Ma, Y., Zhiwei, Yu., & Fan, F. (2017). Experimental and numerical research on gear-bolt joint for free-form grid spatial structures. Engineering Structures, 148, 522–540.
MERO, GmbH, and P.Kraus, Reticulated structures on free-form surfaces, in Patent. 1994, German Patent Office: Munich, Germany. p. 42 24 663.
Pan, Y., Zhang, Q., Wang, X., & Guo, R. (2020). Research on mechanical model of dovetail joint for Chinese ancient timber structures. Journal of Building Structures. https://doi.org/10.14006/j.jzjgxb.2019.0528
Tankut, N. (2007). The effect of adhesive type and bond line thickness on the strength of mortise and tenon joints. International Journal of Adhesion & Adhesives, 27(6), 493–498.
Tianmin, W. (2019). Study on the mechanical properties of aluminuim alloy hub joints and the stability of single layer spherical reticulated shell. China: Harbin Institute of Technology.
Xiliang, L. (2013). The development of spatial grid structure in China in the last thirty years. Industrial Construction, 43(5), 103–107.
Xiong, Z., Guo, X., Luo, Y., & Zhu, S. (2017a). Elasto-plastic stability of single-layer reticulated shells with aluminium alloy gusset joints. Thin-Walled Structures, 115, 163–175.
Xiong, Z., Guo, X., Luo, Y., Zhu, S., & Liu, Y. (2017b). Experimental and numerical studies on single-layer reticulated shells with aluminium alloy gusset joints. Thin-Walled Structures, 118, 124–136.
Xu, S. (2015). Experimental study on the temcor joint and the structural analysis of aluminum single-layer dome. Tianjin: Tianjin University.
Yueyang, M., Ma, H., Zhiwei, Yu., & Fan, F. (2018). Experimental and numerical study on the cyclic performance of the gear-bolt semi-rigid joint under uniaxial bending for free-form lattice shells. Journal of Constructional Steel Research, 149, 257–268.
Zhao, C., Zhao, Y., & Ma, J. (2017). The stability of new single-layer combined lattice shell based on aluminum alloy honeycomb panels. MDPI Applied Science. https://doi.org/10.3390/app7111150
Zhu, S., Guo, X., Liu, X., & Gao, S. (2018). The in-plane effective length of members in aluminum alloy reticulated shell with gusset joints. Thin-Walled Structures, 123, 483–491.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Mashrah, W.A.H., Chen, Z. & Liu, H. Numerical and Theoretical Study on Mechanical Behaviors of New Dovetail Joint System (NDJs) Subjected to Tensile, Compressive, and Out-of-plane Bending Moment Forces. Int J Steel Struct 21, 1108–1133 (2021). https://doi.org/10.1007/s13296-021-00492-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13296-021-00492-z