Block shear strength of coped beams with single-sided bolted connection
Introduction
In steel construction, secondary beams are often connected to the main girder at the same elevation in order to support the slabs. To allow enough clearance for the intersection of the beams, the flanges of the secondary beams are usually coped, as illustrated in Fig. 1(a). The cope can be located at the top flange, bottom flange, or both flanges of the beam ends, depending on different construction requirements. To connect the coped beam end to the main girder, various connection types can be used, including double clip angles, single angles, welded plates (fin plates) or tees.
Because of the removal of the flange(s), the strength of coped beams is reduced. The potential local failure modes of the coped beam ends include flexural yielding, shear yielding, local web buckling and block shear. For the block shear failure, which is considered in this study, the web block (which forms part of the connection) can be torn out from the beam web, as shown in Fig. 1(b). This block shear failure of coped beams was first observed by Birkemoe and Gilmor [1]. Subsequently, Yura et al. [2] and Ricles and Yura [3] performed a series of full-scale experiments and proposed a block shear capacity model which considered one-half of the tensile strength on net tension area plus the shear yield strength on gross shear area. The coped beam test results from Aalberg and Larsen [4] showed that the web block was partially torn-out with tension fracture of the web in the vicinity of the bottom bolt hole. Kulak and Grondin [5] examined the block shear capacity equations used by various design standards and discovered that the predictions of the block shear capacity of coped beams based on major standards were generally inconsistent. Subsequently, Franchuk et al. [6], [7] conducted seventeen full-scale tests to examine the effect of different geometric parameters and different bolt layouts on the block shear behaviour of coped beams. Finite element analysis based on the test results of Ricles and Yura [3] and Franchuk et al. [7] was further conducted by Topkaya [8].
While most of the previous studies focused on coped beams with bolted double clip angle connections, the block shear response of coped beams with single-sided connections using tees or single angles has not been adequately examined. Compared with double clip angle connections, the use of single-sided connections can simplify the procedure of shop fabrication and reduce the cost of manufacturing. However, an out-of-plane loading eccentricity is induced between the centreline of the beam web and the centroid of the connection when single-sided connections are used, as shown in Fig. 1(c). The secondary bending caused by the out-of-plane loading eccentricity may influence the block shear capacity of the coped beam web, but test evidence is not available regarding this concern. In addition, other factors such as bolt arrangements and connection rotational restraints have not been sufficiently studied in previous studies. To address these issues, ten full-scale tests were conducted to examine the block shear behaviour and strength of coped beams with single-sided bolted connections, where different bolt layouts and connection sizes were employed. Finite element (FE) models of the test specimens were subsequently established and a preliminary parametric study was conducted to further discuss these effects. Finally, the test results were compared with the predicted block shear capacities according to various current standards, including AIJ [9], AISC-LRFD [10], EN 1993-1-8:2005 [11] and CAN/CSA-S16-09 [12], and the test-to-predict ratios were presented and discussed.
Section snippets
Test specimens and setup
A total of ten full-scale tests were conducted in the experimental programme, where seven specimens were connected using single-sided connections (tee or single angle) and double clip angle connections were used for the remaining three specimens for comparison purpose. Five test beams of 3.4 m long were fabricated from the universal beam section UB406 × 140 × 56 (SCI Guide [13]) with Grade S355 steel (BS EN 10025-2, 2004 [14]). The measured average width (B), height (D), and flange thickness (Tf) of
General
The test results showed that all the specimens failed in a block shear manner. Typical failure modes at the end of the test are shown in Fig. 4. When the ultimate load was achieved, the web block was completely torn out for specimen T2-1-3-b, while for the other nine specimens, tension fracture of the web in the tension area (ta) with significant shear yielding in the shear area (sa) was observed at the ultimate load. Necking effect near the tension area was observed before the fracture of the
Failure mode
As mentioned above, the tensile strain distribution along the tension area was affected by the size of the connection (T1, T2, A1 and A2) and the edge distance (28 mm and 50 mm). Therefore, the types of failure mode (either partial web block tear-out or complete web block tear-out) at ultimate loads may be also influenced by these factors. For the same gauge, the connection rigidity of T2, which has a thicker flange and web, was larger than that of T1. From Fig. 6(a), it can be seen that for the
Finite element analysis
As discussed in the previous section, the influences of connection eccentricity and connection rotational stiffness need further supplementary investigations. With this aim, finite element models of the ten test specimens were established first, and the models were validated through comparisons with the corresponding test results. A preliminary parametric study was subsequently conducted to explain some observations from the tests. The general FE programme ABAQUS [18], which is capable of
General
The current design standards from Japan (AIJ [9]), America (AISC-LRFD [10]), Europe (EN 1993-1-8:2005 [11]), and Canada (CAN/CSA-S16-09 [12]) were chosen to compare with the test results. In addition, Topkaya [8] proposed two alternative block shear models based on an extensive parametric study, and these were also included for discussion. The design equations in these standards and research papers for block shear of coped beams were initially based on the research of bolted double clip angle
Summary and conclusions
A total of ten full-scale tests were conducted to investigate the block shear strength and behaviour of coped beams with single-sided connections and double clip angle connection. The failure mechanisms of all the test specimens were block shear when the ultimate loads were achieved, where only specimen T2-1-3-b failed in whole block tear-out while the other specimens failed in tension fracture (partial tear-out) of the beam web and excessive shear yielding in the shear area. Further loading
Acknowledgements
The work described in this paper was supported by a grant provided by The Hong Polytechnic University, Central Research Grant (Project No. G-U754). The assistance of the technical staff in the Structural Laboratory of the University of Macau is also acknowledged.
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