Performance enhancement of eight bolt extended end-plate moment connections under simulated seismic loading
Introduction
In bolted extended end-plate (BEEP) moment connections, steel plates are shop welded to the ends of a beam which is then field bolted to the connecting members. Though shop fabrication of BEEP connections may be more costly than field welded connections, they offer the advantage of eliminating the difficulties associated with field welding, and may provide rapid erection of moment frames [1]. Simulated seismic testing of BEEP moment connections have shown them to be capable of providing considerable ductility and seismic resilience and as a result, they have been included in the 2010 ANSI/AISC 358 [2] prequalified connections for special and intermediate moment frames for seismic applications. The 2010 ANSI/AISC 358 [2] prequalifies three types of BEEP connections, the four bolt unstiffened (4E), four bolt stiffened (4ES) and the eight bolt stiffened (8ES) (Fig. 1).
The cyclic performances of the prequalified BEEP connections have been evaluated through large scale experimental and analytical studies. Early cyclic testing on four bolt unstiffened (Fig. 1a) and four bolt stiffened (Fig. 1b) extended end-plate connections demonstrated that ductility and energy dissipation are improved if connection components (end plate, end plate stiffener and bolts) are designed to undergo limited inelastic action, forcing beam yielding and panel zone deformation to provide the inelastic rotation [3], [4], [5], [6]. Sumner and Murray [7] and Sumner et al. [8] corroborated these findings for the four bolt unstiffened extended end-plate connection and validated the eight bolt-stiffened extended end-plate connection (Fig. 1c) for seismic applications. Test results from these studies have been used in the development and verification of design equations for seismic applications [1], [2], [9].
In stiffened connections (4ES and 8ES) a triangular stiffener is welded between the outer surface of the beam flange and the extended portion of the end plate. This stiffener serves the main purpose of increasing the strength and stiffness of the end plate. Experimental and analytical studies show that bolt force distribution is more uniform and end plate deformations as well as prying forces are reduced with the addition of the stiffener [3], [10]. End plate design equations in the 2010ANSI/AISC 358 standard which are derived from yield line analysis of the end plate account for this added strength and as a result, four bolt stiffened (4ES) connections require thinner end plates than do four bolt unstiffened (4E) connections with all else equal [1], [2], [9].
Experimental investigation by Sumner et al. [8] on the cyclic behavior of 8ES connections designed to develop 110% of the nominal plastic moment capacity of the beam, have shown them to display ductile behavior achieving 5 or 6% story drift prior to the end of testing. In these experiments, loading was terminated due to excessive lateral displacement of the beam, at which point, the measured flexural resistance of the connections had gradually reduced to below 80% of the plastic moment capacity of the beam. However, in a recent study [11], small cracks initiating at the welded junction between the end plate stiffener and the beam flange were observed in all 8ES specimens. In one specimen, this crack led to a brittle overload fracture of the beam flange during cycles at 4.7% interstory drift. Despite the fact that this specimen attained the required 4% interstory drift angle required by AISC 341 for use in special moment frames, the failure mechanism resulted in sudden, rather than the gradual strength loss observed in other eight bolt stiffened extended end-plate connection tests [7], [8]. This failure was attributed to the high strain demands and high stress triaxiality at the stiffener toe, which are the result of the stress concentration from the sharp change in geometry (reentrant corner), and the local restraining effect at the welded junction of the stiffener and the beam flange respectively.
While the cyclic performance of 8ES connections in laboratory tests meet the requirements of AISC 341, the endplate stiffener introduces a stress concentration and adds complexity to connection fabrication and inspection. Therefore, the motivation of this study is to develop an improved unstiffened eight bolt extended end-plate moment connection for seismic applications. The primary feature of this connection is an octagonal bolt arrangement that provides relatively uniform distribution of bolt forces. In addition, this connection eliminates both the unfavorable stress concentration due to the end plate stiffener in the 8ES connection and the non-uniform distribution of bolt forces that contributed to bolt failures in the previously studied unstiffened eight-bolt four wide (4W) connection [8], [9]. Despite requiring thicker endplates than the 8ES in order to resist endplate shear forces and limit bolt prying forces, the proposed connection reduces additional welding and fabrication associated with the end plate stiffener while also providing more usable floor space above the concrete slab. These features may make the proposed BEEP connection more economical and attractive for use in new construction.
It must be noted that during the development of the proposed BEEP connection, Kiamanesh et al. [12] investigated a circular bolt arrangement for eight bolt extended end-plate connections which is similar to the octagonal bolt arrangement proposed in this study. In the study by Kiamanesh et al. [12] finite element analysis (FEA) was used to show that a circular bolt arrangement was effective at reducing hysteresis pinching, consequently improving connection strength and energy dissipation when compared with the traditional rectangular bolt arrangement. Their study concludes that these benefits are appreciable in connections with large bolt diameters and end plate thicknesses and in general are a result of more uniform distribution of bolt forces.
Although Kiamanesh et al. [12] demonstrated the effectiveness of the circular bolt arrangement at reducing hysteresis pinching and improving connection strength and energy dissipation, the necessity of the bolt arrangement has not been addressed with comparison to the prequalified eight bolt stiffened (8ES) connection and, the potential failure mechanisms of the proposed connection, particularly the low cycle fatigue mechanism, were not considered. The study reported herein presents the systematic development of the proposed octagonal bolt arrangement through observations of the behavior of the eight bolt stiffened (8ES), eight bolt unstiffened (8E) and eight bolt-four wide unstiffened (8E-4W) extended end-plate connections. The improved connection was therefore developed with the primary objective of addressing the specific shortcomings of existing extended end-plate (EEP) connection designs.
The presentation of the study begins with the description and validation of the finite element modeling (FEM) of EEP connections. This is followed by the presentation of systematic finite element analysis of existing eight bolt extended end-plate designs and comparison of these with the proposed improved design. The analysis investigates the influence of details such as end plate stiffener, bolt configuration and end plate thickness on the performance and potential failure mechanisms of eight bolt extended end-plate connections under simulated seismic loading. Potential failure mechanisms are studied through various response indices which are calculated from the finite element model results. Finally, the results of a parametric study to examine the influence of bolt spacing parameters on the bolt force magnitudes and distribution are presented.
Section snippets
Finite element modeling of extended end-plate connections
The use of finite element modeling to simulate BEEP connection behavior dates back to 1978 with efforts of Krishnamurthy [13]. However, early studies focused mainly on simulating the monotonic response of BEEP connections [14], [15], [16], [17] with very limited study on cyclic behavior [18]. In the last two decades, several studies were performed on the simulation of BEEP connections under cyclic loading [19], [20], [21], [22], [23], [24], [25], [26], [27]. Due to the complexity involved in
Finite element modeling details
Three dimensional nonlinear finite element models were developed for extended end-plate connections using the implicit solver of ANSYS Mechanical APDL. Material, geometric and contact nonlinearities were incorporated in the finite element models. Fig. 2 shows an example of the finite element mesh generated for an 8ES EEP connection including the applied boundary conditions and loading protocol. These loads and boundary conditions were chosen to mimic the support conditions and applied loading
Material and geometric nonlinearities models
Finite element models accounted for material nonlinearity through rate-independent metal plasticity theory based on additive strain decomposition (Eq. (2)), the Von Mises yield criterion (Eq. (3)), associated flow rule (Eq. (4)) and Chaboche non-linear kinematic hardening rule (Eqs. (5), (6) [37]. The distinctive feature of the Chaboche model is the superposition of non-linear kinematic hardening rules according to Eqs. (5), (6). This allows for accurate simulation of hysteric loop shape over a
Validation of finite element model
The finite element modeling of the high strength A325 and A490 bolts was validated against experiments conducted by Christopher [40]. In these experiments, bolts were subjected to direct tension until failure. In the FE simulation, the nodes on the inner surface of the bolt head were fixed while axial displacements were applied to the nodes on the inner surface of the bolt nut. Fig.4a shows the geometry of the bolts and Fig. 4b shows the comparison between the observed and simulated bolt
Finite element analysis of extended-end plate connections
In this section, detailed finite element analysis is presented on stiffened and unstiffened eight bolt extended end-plate connections with different bolt arrangements in order to investigate the influence of bolt arrangement, end plate thickness and end plate stiffener on the mechanical behavior and connection failure mechanisms. An exterior sub-assemblage consisting of a W14 × 193 column (reinforced with 19.05 mm continuity plates and a 9.525 mm doubler plate) and a W30 × 99 beam was chosen for all
Response indices
In the analyses crack initiation and propagation are not modeled, instead response indices were calculated from stress and strain responses at various locations of the connection to compare stress and strain demands and the potential for ductile fracture in these locations. These indices are outlined below. Similar approaches have been used by others in analytical moment connection studies [42].
Finite element analysis results and discussion
The moment-interstory drift backbone curves of eight bolt EEP connections are shown in Fig. 7. In this figure, the connections are compared based on endplate thickness. It is observed that all connections display similar elastic stiffness but the 8ES connection displays greater post yield stiffness and strength than the unstiffened connections even when paired with thinner (31.8 mm and 38.1 mm) end plates (Fig. 7a and b). However, the higher stiffness and strength of the 8ES connection are
Parametric study on 8EM connection bolt spacing
A parametric study to investigate the influence of bolt spacing parameters on the bolt force magnitudes and distribution in the 8EM connection was undertaken. Fig. 13 illustrates the geometric parameters related to bolt spacing in the 8EM connection. The connection analyzed in this parametric study shares the same bolt size, endplate thickness and beam depth as the 8EM-1.25-1.5-30 connection. This connection is chosen because the shear yield and rupture strength of the extended portion of the
Future work on 8EM connection
Finite element analysis has showed that the proposed 8EM connection provides a more uniform distribution of bolt forces, reduced stress and strain concentrations, and reduced strength degradation due to buckling than the currently prequalified 8ES connection. However, this conclusion is limited to the range of geometric parameters considered in this study and may not be universal, therefore, a more elaborate parametric study is a necessary future step in the development of the 8EM connection.
Conclusion
This study has presented the systematic development of an improved unreinforced eight bolt extended end-plate moment connection through detailed finite element analysis. The 3D model of BEEP connections included an advanced cyclic plasticity constitutive model, nonlinear contact elements to model the interactions of connection components, and a simple yet accurate method to model bolts subjected to direct tension including bolt pretension effects.
The proposed design involves rearranging the
Acknowledgement
Funding for this research was provided by the National Science Foundation under the Network for Earthquake Engineering Simulation (NSF Grant no. 0936547). However, any opinions presented in this paper are solely those of the authors.
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Currently at Applied Research Associates Inc., Raleigh, NC, United States.