Test and design of stainless steel K-joints in cold-formed circular hollow sections
Graphical abstract
Introduction
In the corrosive environment, steel structures may suffer from the corrosion issue which leads to continuous reduction in the durability and even causes collapse in the end. Compared with low-carbon steel, stainless steel has an excellent corrosion resistance, good mechanical properties, and architectural renderings etc. Thus, it has become an ideal construction material for structures built in the corrosive environment and structures with the long service life.
Tubular joint has several advantages, e.g. the attractive appearance and the convenience in fabrication etc., and is one of the best choices for spatial structure joints. For the low carbon steel and the high-strength steel structures, a lot of researches have been carried out on tubular joints in circular hollow sections (CHS) and square hollow sections (SHS) [[1], [2], [3], [4], [5]], and corresponding design methods [6,7] have been established and used for many years. Although stainless steel structures have drawn more and more interests in recent twenty years, very limited research has been reported on stainless steel joints in literature.
Rasmussen et al. [8,9] conducted tests on X- and K-joints in circular and rectangular hollow sections. Design formulae in CIDECT design guide (first edition) [6] were modified by replacing the yield stress of low-carbon steel with the nominal yield stress of stainless steel. Feng et al. [[10], [11], [12]] carried out in-depth studies on stainless steel T- and X-joints in cold-formed rectangular hollow sections (RHS). Test results were compared with the predictions of Eurocode [13], Australia/New Zealand codes [14] and CIDECT design guide [7], and modifications were proposed to adapt to the stainless steel joint characters. Feng et al. [15] developed yield line mechanisms for the SHS T- and X-joints subjected to axial compression. Zhou et al. [16] studied the flexural behaviour of circular concrete filled stainless steel tubular trusses, and indicated that the concrete filled in both the top and bottom chords could significantly improve the rigidity and the load capacity of truss. Feng and Chen et al. [[17], [18], [19]] conducted a series tests on the concrete-filled stainless steel SHS X- and T-joints, A full set of design formulae of ultimate strengths for empty and grouted stainless steel joints were developed considering both the contributions of the stainless steel tube and the concrete. Feng et al. [20,21] carried out tests on empty and grouted stainless steel tubular X-, T- and Y-joints with CHS chord under axial compression, and proposed design formulae for hybrid tubular grouted joints by introducing correction factors to modified the design rules of traditional CHS tubular joints. Feng et al. performed tests on stainless steel CHS-to-SHS hybrid tubular X-, T-, and Y-joints [22,23] and K-joints [24], and modified the design rules in CIDECT and EC3 by introducing several correction factors to consider the effect of geometric parameters. Besides studies on the stainless steel tubular joints, Elflah et al. [25,26], Hasen et al. [27,28], Bu et al. [29], Gao et al. [30], Tao et al. [31] carried out test on several other types of fabricated stainless steel beam-columns joints.
Over all, the researches on the stainless steel tubular joints in CHS were only reported in Refs [8,16,21]., and more test should be conducted and relevant design rules need to be improved to adapt to the characters of stainless steel. This study will focus on the behaviors of the stainless steel K-joints in cold-formed circular hollow sections. Tests were conducted to get the joint capacity and the failure mode. Then, finite element models were developed, validated, and used to expand the valid ranges of parameters. Finally, modifications were proposed and the predictions were compared with the test results available in literature.
Section snippets
Experimental study
This study is a part of a research program to revise the Chinese design specification for stainless steel structures [32]. In this program, a batch of austenitic stainless steel sheets was tracked from the coil to the cold-formed tubes. The cold-formed tubes were then fabricated into columns, beams, and joints. Cold-forming effect in the tubes [33,34], the capacities of columns [35] and beams [36] have been reported. This study will provide test results on the behaviors of K-joint in CHS.
Modeling
Finite element models of K-joints were developed in ABAQUS [40]. The geometric model was generated directly in the software. The lengths of the brace and the chord were extended to the corresponding pin supports. Thus, the lengths of the chord and the brace were 1054 mm and 465 mm in the finite element models, respectively. A shell element with hourglass control, S4R, was used to mesh the joints. To balance the computational time and the accuracy, a study on the mesh density was conducted, and
Parametric analysis
In this section, current design codes were introduced firstly to show the key parameters that effect the K-joint behaviors. Then parametric analyses were carried out to expand the range of valid data, and compared with the predictions of current design codes.
Proposed design rule
In this section, the design rule in the CIDECT design guide would be modified based on the parametric analysis results. The main frame of the design formulae in the CIDECT design guide was remained, while three modifications were made on the parameters.
The first modification was about the parameter Qu. According to Fig. 14, the predicted Qu values using the CIDECT design guide were conservative. Therefore, the factors in this formula were refitted based on the finite element analysis results,
Conclusions
A series of tests on nine stainless steel K-joints in circular hollow sections were reported. Finite element models were developed, validated and used to expand the valid ranges of parameter. Design formulae were proposed and compared with the test data. The following conclusions could be drawn:
- (1)
Nine K-joints in circular hollow sections were tested. All the joints failed in the plastification of the chord around the compression brace. For the K-joints with small β (the ratio of brace diameter to
Author statement
ZHENG Baofeng: Methodology, Writing - Review & Editing. ZHANG Kui: Formal analysis, Visualization, Investigation. WANG Jiachang: Writing- Original draft preparation SHU Ganping: Conceptualization, Supervision, Writing - Review & Editing. JIANG Qinglin: Resources.
Declaration of Competing Interest
None.
Acknowledgement
The research work described in this paper is supported by National Science Foundation of China through the project No. 51808110, Jiangsu Science Foundation through the project No. BK20180399, National Key Technologies R&D Program through the projects No. 2018YFC0705502-4. The financial supports are highly appreciated. Special thanks to the Jiangsu Dongge Stainless Steel Ware Co., Ltd. and Xinghua Zhaohui Stainless Steel Tube Company for providing the test specimens.
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