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A Generalized Analytical Method to Evaluate the Post-limit Properties of Joints in Bending Moment According to Eurocode3

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Abstract

On the structural analysis, connection effects should be evaluated in terms of rotational stiffness and ultimate strength; this makes it possible to obtain realistic behavior of the structure. In this research, a simple analytical evaluation is carried out to predict the behaviors of the connections as a bi-linear curve. Mechanical properties of the initial and the second parts of this curve are obtained by component-based method and a suggested classification method, respectively. The component-based method represents a joint by using a combination of rigid and flexible components. Each of the components is modeled by means of specific stiffness and strength values and they are assembled together to obtain the initial mechanical properties of the joint. The suggested classification method classifies all the components in a connection into three groups based on comparing the ultimate and the design moment strength of each component with those of the connection. By considering this procedure, a new equation is proposed to determine joint post-limit rotational stiffness. This simple and fast method is applicable to any type of joints regardless of profile type and applied loading. The proposed method is applied to a bolted angle, an end-plate to rectangular hollow section column and two bolted end-plate beam-to-column connections. The results are compared with those obtained from some other analytical, numerical and experimental methods. The outputs confirm that the proposed method is simpler, more accurate and less time consume than the other methods.

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References

  • Abdollahzadeh, G., Gharavi, S. Y., & Beigy, M. H. (2014). Analytical and experimental investigation of I beam-to-CFT column connections under monotonic loading. International Journal of Engineering, 27(2), 293–306.

    Google Scholar 

  • Abdollahzadeh, G., Gharavi, S. Y., & Beigy, M. H. (2015). Evaluation of the moment–rotation curve of I beam-to-CFT column connection with endplate, using mechanical modeling. International Journal of Steel Structures, 15(4), 911–922.

    Google Scholar 

  • Abolmaali, A., Matthys, J. H., Farooqi, M., & Choi, Y. (2005). Development of moment–rotation model equations for flush end-plate connections. Journal of Constructional Steel Research, 61(12), 1595–1612.

    Google Scholar 

  • Ahmed, A. (2017). Prediction of moment–rotation characteristic of top-and seat-angle bolted connection incorporating prying action. International Journal of Advanced Structural Engineering, 9(1), 79–93.

    Google Scholar 

  • Ahmed, A., & Kishi, N. (2017). Modified three-parameter power model to predict moment–rotation curve of top-and seat-angle connection. American Journal of Civil Engineering, 5(1), 50–59.

    Google Scholar 

  • Ahmed, A., Kishi, N., Matsuoka, K. I., & Komuro, M. (2001). Nonlinear analysis on prying of top-and seat-angle connections. Journal of Applied Mechanics, 4, 227–236.

    Google Scholar 

  • Alhasawi, A., Guezouli, S., & Couchaux, M. (2017). Component-based model versus stress-resultant plasticity modelling of bolted end-plate connection: Numerical implementation. Structures, 11, 164–177.

    Google Scholar 

  • Areiza-Hurtado, M., & Aristizábal-Ochoa, J. D. (2019). Second-order analysis of a beam-column on elastic foundation partially restrained axially with initial deflections and semirigid connections. Structures, 20, 134–146.

    Google Scholar 

  • Aristizabal-Ochoa, J. D. (1997). First-and second-order stiffness matrices and load vector of beam-columns with semirigid connections. Journal of Structural Engineering, 123(5), 669–678.

    Google Scholar 

  • Aristizabal-Ochoa, J. D. (2007). Large deflection and postbuckling behavior of Timoshenko beam–columns with semi-rigid connections including shear and axial effects. Engineering Structures, 29(6), 991–1003.

    Google Scholar 

  • Azizinamini, A. (1982). Monotonic response of semi-rigid steel beam to column connections. M.S. thesis, University of South Carolina.

  • Azizinamini, A., Bradburn, J., & Radziminski, J. B. (1987). Initial stiffness of semi-rigid steel beam-to-column connections. Journal of Constructional Steel Research, 8, 71–90.

    Google Scholar 

  • Azizinamini, A., & Radziminski, J. B. (1989). Static and cyclic performance of semirigid steel beam-to-column connections. Journal of Structural Engineering, 115(12), 2979–2999.

    Google Scholar 

  • Broderick, B., & Thomson, A. (2002). The response of flush end-plate joints under earthquake loading. Journal of Constructional Steel Research, 58(9), 1161–1175.

    Google Scholar 

  • CEN. (2005). 3: Design of steel structures, Part 1.8—Design of joints. Brussels: European Committee for Standardization.

    Google Scholar 

  • da Silva, L. S., de Lima, L. R., da SVellasco, P., & de Andrade, S. A. (2004). Behaviour of flush end-plate beam-to-column joints under bending and axial force. Steel and Composite structures, 4(2), 77–94.

    Google Scholar 

  • da Silva, L. S., Santiago, A., & Real, P. V. (2002). Post-limit stiffness and ductility of end-plate beam-to-column steel joints. Computers & Structures, 80(5), 515–531.

    Google Scholar 

  • Del Savio, A., Nethercot, D., Vellasco, P., Andrade, S., & Martha, L. (2009). Generalised component-based model for beam-to-column connections including axial versus moment interaction. Journal of Constructional Steel Research, 65(8), 1876–1895.

    Google Scholar 

  • Demonceau, J. F., & Ciutina, A. (2019). Characterisation of beam-to-column steel-concrete composite joints beyond current Eurocode provisions. Structures. https://doi.org/10.1016/j.istruc.2019.01.014.

    Article  Google Scholar 

  • Díaz, C., Martí, P., Victoria, M., & Querin, O. M. (2011). Review on the modelling of joint behaviour in steel frames. Journal of Constructional Steel Research, 67(5), 741–758.

    Google Scholar 

  • Draganić, H., Dokšanović, T., & Markulak, D. (2014). Investigation of bearing failure in steel single bolt lap connections. Journal of Constructional Steel Research, 98, 59–72.

    Google Scholar 

  • Faella, C., Piluso, V., & Rizzano, G. (2000). Structural steel semirigid connections: Theory, design, and software. Boca Raton: CRC Press.

    Google Scholar 

  • France, J. E., Davison, J. B., & Kirby, P. A. (1999a). Strength and rotational stiffness of simple connections to tubular columns using flowdrill connectors. Journal of Constructional Steel Research, 50(1), 15–34.

    Google Scholar 

  • France, J. E., Davison, J. B., & Kirby, P. A. (1999b). Moment-capacity and rotational stiffness of endplate connections to concrete-filled tubular columns with flowdrilled connectors. Journal of Constructional Steel Research, 50(1), 35–48.

    Google Scholar 

  • Giraldo-Londoño, O., Monsalve-Giraldo, J. S., & Aristizabal-Ochoa, J. D. (2015). Large-deflection and postbuckling of beam-columns with non-linear semi-rigid connections including shear and axial effects. International Journal of Non-Linear Mechanics, 77, 85–95.

    Google Scholar 

  • Goudarzi, A., Ghassemieh, M., & Baei, M. (2012). The effect of axial force on the behavior of flush end-plate moment connections. In Proceedings of fifthteenth word conference on earthquake engineering, Lisbon, Portugal.

  • IS: 800. (2007). General construction in steel-code of practice, 3rd Revision. New Delhi: Bureau of Indian Standard.

    Google Scholar 

  • Jaspart, J. P., & Maquoi, R. (1994). Prediction of the semi-rigid and partial-strength properties of structural joints. In Proceedings of the SSRC annual technical session and meeting (pp. 177–192).

  • Jaspart, J. P., Pietrapertosa, C., Weynand, K., & Klinkhammer, R. (2004). Development of consistent design approach for bolted and welded joints in building and trusses between steel members made of hollow and/or open sections—Application of the component method. CIDECT report 5BP-6/03.

  • Kishi, N., & Chen, W. F. (1986). Steel connection data bank program. In 2th (Ed.). School of Civil Engineering, Purdue University, West Lafayette.

  • Kishi, N., & Chen, W. F. (1990). Moment–rotation relations of semirigid connections with angles. Journal of Structural Engineering, 116(7), 1813–1834.

    Google Scholar 

  • Kishi, N., Komuro, M., & Chen, W. (2004). Four-parameter power model for M–θr curves of end-plate connections. In ECCS/AISC workshop connections in steel structures V: Innovative steel connections.

  • Kong, Z., & Kim, S. E. (2017a). Moment–rotation behavior of top-and seat-angle connections with double web angles. Journal of Constructional Steel Research, 128, 428–439.

    Google Scholar 

  • Kong, Z., & Kim, S. E. (2017b). Moment–rotation model of single-web angle connections. International Journal of Mechanical Sciences, 126, 24–34.

    Google Scholar 

  • Kurobane, Y., Packer, J. A., Wardenier, J., & Yeomans, N. (2004). Design guide for structural hollow section column connections. CIDECT design guide no. 9. Köln: TÜV-Verlag.

  • Lima, L. D. (2003). Behaviour of endplate beam-to-column joints under bending and axial force. Ph. D. Thesis. PUC-Rio, Pontifical Catholic University, Civil Engineering Department, Rio de Janeiro, Brazil. (in Portuguese).

  • Masoodi, A. R., & Moghaddam, S. H. (2015). Nonlinear dynamic analysis and natural frequencies of gabled frame having flexible restraints and connections. KSCE Journal of Civil Engineering, 19(6), 1819–1824.

    Google Scholar 

  • MATLAB. (2010). User’s manual. Version 7.11.0.584. Natick: The Math Works, Inc.

    Google Scholar 

  • Mohamadi-Shoore, M., & Mofid, M. (2004). Basic issues in the analytical simulation of unstiffened extended end plate connection. Scientia Iranica, 11(4), 302–311.

    Google Scholar 

  • Mohamadi-Shoore, M., & Mofid, M. (2011). New modeling for moment–rotation behavior of bolted endplate connections. Scientia Iranica, 18(4), 827–834.

    Google Scholar 

  • Monforton, G. R., & Wu, T. S. (1963). Matrix analysis of semi-rigid connected frames. Journal of the Structural Division, 89(6), 13–24.

    Google Scholar 

  • Pal, J., Banerjee, S., Chikermane, S., & Banerji, P. (2017). Estimation of fixity factors of bolted joints in a steel frame structure using a vibration-based health monitoring technique. International Journal of Steel Structures, 17(2), 593–607.

    Google Scholar 

  • Palacio-Betancur, A., & Aristizabal-Ochoa, J. D. (2018). Second-order stiffness matrix and loading vector of a tapered rectangular Timoshenko beam-column with semi-rigid connections. Structures, 15, 211–223.

    Google Scholar 

  • Palacio-Betancur, A., & Aristizabal-Ochoa, J. D. (2019). Statics, stability and vibration of non-prismatic linear beam-columns with semirigid connections on elastic foundation. Engineering Structures, 181, 89–94.

    Google Scholar 

  • Park, A. Y. (2012). Semi-rigid joints to tubular columns and their use in semi-continuous frame design. Ph. D. dissertation, The University of Manchester,United Kingdom.

  • Park, A. Y., & Wang, Y. C. (2012). Development of component stiffness equations for bolted connections to RHS columns. Journal of Constructional Steel Research, 70, 137–152.

    Google Scholar 

  • Patnana, V., & Vyavahare, A. Y. (2016). Moment rotation curves for semi rigid connections. In Proceedings of the international conference on electrical, electronics, and optimization techniques (ICEEOT) (pp. 2563–2568), IEEE.

  • Piluso, V., Faella, C., & Rizzano, G. (2001). Ultimate behavior of bolted T-stubs. I: Theoretical model. Journal of Structural Engineering, 127(6), 686–693.

    Google Scholar 

  • Pirmoz, A., Khoei, A. S., Mohammadrezapour, E., & Daryan, A. S. (2009). Moment–rotation behavior of bolted top–seat angle connections. Journal of Constructional Steel Research, 65(4), 973–984.

    Google Scholar 

  • Rezaiee-Pajand, M., & Masoodi, A. R. (2016). Exact natural frequencies and buckling load of functionally graded material tapered beam-columns considering semi-rigid connections. Journal of Vibration and Control, 24(9), 1787–1808.

    MathSciNet  MATH  Google Scholar 

  • Rezaiee-Pajand, M., & Masoodi, A. R. (2018). Stability analysis of frame having FG tapered beam–column. International Journal of Steel Structures, 19(2), 446–468.

    Google Scholar 

  • Richard, R. M., & Abbott, B. J. (1975). Versatile elastic–plastic stress–strain formula. Journal of the Engineering Mechanics Division, 101(4), 511–515.

    Google Scholar 

  • Shi, Y., Shi, G., & Wang, Y. (2007). Experimental and theoretical analysis of the moment–rotation behaviour of stiffened extended end-plate connections. Journal of Constructional Steel Research, 63(9), 1279–1293.

    Google Scholar 

  • Shooshtari, A., Moghaddam, S. H., & Masoodi, A. R. (2015). Pushover analysis of gabled frames with semi-rigid connections. Steel and Composite Structures, 18(6), 1557–1568.

    Google Scholar 

  • Wang, T., Wang, Z., & Feng, J. J. (2013a). A trilinear model for M–θ curves of semi-rigid end-plate connections. Advanced Materials Research, 651, 143–147.

    Google Scholar 

  • Wang, T., Wang, Z., Wang, J., & Feng, J. J. (2013b). A simplified calculation model for moment–rotation curve used in semi-rigid end-plate connection. Journal of Information & Computational Science, 10(11), 3529–3538.

    Google Scholar 

  • Weynand, K., Busse, E., & Jaspart, J. (2006). First practical implementation of the component method for joints in tubular construction. Tubular Structures XI, 11, 139–145.

    Google Scholar 

  • Yang, B., & Tan, K. H. (2013). Robustness of bolted-angle connections against progressive collapse: Mechanical modelling of bolted-angle connections under tension. Engineering Structures, 57, 153–168.

    Google Scholar 

  • Zeinoddini-Meimand, V., Ghassemieh, M., & Kiani, J. (2014). Finite element analysis of flush end plate moment connections under cyclic loading. World Academy of Science, Engineering and Technology, International Journal of Civil, Environmental, Structural, Construction and Architectural Engineering, 8(1), 96–104.

    Google Scholar 

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Correspondence to Maryam Daei.

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Obeydi, M., Daei, M. & Zeynalian, M. A Generalized Analytical Method to Evaluate the Post-limit Properties of Joints in Bending Moment According to Eurocode3. Int J Steel Struct 20, 1465–1481 (2020). https://doi.org/10.1007/s13296-020-00380-y

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