Structural Engineering and Mechanics

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Chord rotation demand for effective catenary action of RC beams under gravitational loadings

  • Tsai, Meng-Hao (Department of Civil Engineering, National Pingtung University of Science and Technology)
  • Received : 2015.10.27
  • Accepted : 2016.01.29
  • Published : 2016.04.25
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Abstract

Many experimental and analytical studies have been conducted with beam-column subassemblages composed of a two-span beam to investigate the progressive collapse resistance of RC frames. Most study results reveal a strength-decreased transition phase in the nonlinear static load-deflection curve, which may induce dynamic snap-through response and increase the chord rotation demand for effective catenary action (ECA). In this study, the nonlinear static response is idealized as a piecewise linear curve and analytical pseudo-static response is derived for each linearized region to investigate the rotation demands for the ECA of the two-span RC beams. With analytical parameters determined from several published test results, numerical analysis results indicate that the rotation demand of 0.20 rad recommended in the design guidelines does not always guarantee the ECA. A higher rotation demand may be induced for the two-span beams designed with smaller span-to-depth ratios and it is better to use their peak arch resistance (PAR) as the collapse strength. A tensile reinforcement ratio not greater than 1.0% and a span-to-depth ratio not less than 7.0 are suggested for the two-span RC beams bridging the removed column if the ECA is expected for the collapse resistance. Also, complementary pseudo-static analysis is advised to verify the ECA under realistic dynamic column loss even though the static PAR is recovered in the nonlinear static response. A practical empirical formula is provided to estimate an approximate rotation demand for the ECA.

Keywords

Acknowledgement

Supported by : National Science Council of Taiwan

References

  1. ASCE (2010), Minimum Design Loads for Buildings and Other Structures, ASCE/SEI 7-10, American Society of Civil Engineers, Reston, Virginia.
  2. Chen, J., Huang, X., Ma, R. and He, M. (2012), "Experimental study on the progressive collapse resistance of a two-story steel moment frame", J. Perform. Constr. Facil., ASCE, 26(5), 567-575. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000287
  3. DoD, Department of Defense (2005), Design of Buildings to Resist Progressive Collapse, UFC 4-023-03, Washington, DC, USA.
  4. DoD, Department of Defense (2009), Design of Buildings to Resist Progressive Collapse, UFC 4-023-03, Washington, DC, USA.
  5. DoD, Department of Defense (2013), Design of Buildings to Resist Progressive Collapse, UFC 4-023-03, Washington, DC, USA.
  6. Ellingwood, B.R. (2006), "Mitigating risk from abnormal loads and progressive collapse", J. Perform. Constr. Facil., ASCE, 20(4), 315-323. https://doi.org/10.1061/(ASCE)0887-3828(2006)20:4(315)
  7. FEMA (2000), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, FEMA-356, Federal Emergency Management Agency, Washington, DC, USA.
  8. GSA, General Service Administration (2003), Progressive Collapse Analysis and Design Guidelines for New Federal Office Buildings and Major Modernization Projects, Washington, DC, USA.
  9. GSA, General Service Administration (2013), Alternate Path Analysis & Design Guidelines for Progressive Collapse Resistance, Washington, DC, USA.
  10. Lew, H.S., Bao, Y., Pujol, S. and Sozen, M.A. (2014), "Experimental study of reinforced concrete assemblages under column removal scenarios", ACI Struct. J., 111(4), 881-892.
  11. Mohamed, O.A. (2006), "Progressive collapse of structures: annotated bibliography and comparison of codes and standards", J. Perform. Constr. Facil., ASCE, 20(4), 418-425. https://doi.org/10.1061/(ASCE)0887-3828(2006)20:4(418)
  12. Nair, R.S. (2006), "Preventing disproportionate collapse", J. Perform. Constr. Facil., ASCE, 20(4), 309-314. https://doi.org/10.1061/(ASCE)0887-3828(2006)20:4(309)
  13. Orton, S. and Kirby, J. (2014), "Dynamic response of an RC frame under column removal", J. Perform. Constr. Facil., ASCE, 28(4), 04014010-1-8. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000464
  14. Pearson, C. and Delatte, N. (2005), "Ronan Point apartment tower collapse and its effect on building codes", J. Perform. Constr. Facil., ASCE, 19(2), 172-177. https://doi.org/10.1061/(ASCE)0887-3828(2005)19:2(172)
  15. Qian, K. and Li, B. (2012a). "Slab effects on response of reinforced concrete substructures after loss of corner column", ACI Struct. J., 109(6), 845-855.
  16. Qian, K. and Li, B. (2012b), "Dynamic performance of reinforced concrete beam-column substructures under the scenario of the loss of a corner column-experimental results", Eng. Struct., 42, 154-167. https://doi.org/10.1016/j.engstruct.2012.04.016
  17. Qian, K. and Li, B. (2013), "Experimental study of drop-panel effects on response of reinforced concrete flat slabs after loss of corner column", ACI Struct. J., 110(2), 319-330.
  18. Qian, K. and Li, B. (2015), "Quantification of slab influences on the dynamic performance of RC frames against progressive collapse", J. Perform. Constr. Facil., ASCE, 29(1), 04014029-1-11. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000488
  19. Qian, K., Li, B. and Ma, J. (2015), "Load-carrying mechanism to resist progressive collapse of RC buildings", J. Struct. Eng., 141(2), 04014107-1-14. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001046
  20. Sasani, M., Werner, A. and Kazemi, A. (2011), "Bar fracture modelling in progressive collapse analysis of reinforced concrete structures", Eng. Struct., 33, 401-409. https://doi.org/10.1016/j.engstruct.2010.10.023
  21. Sasani, M., Bazan, M. and Sagiroglu, S. (2007), "Experimental and analytical progressive collapse evaluation of actual reinforced concrete structures", ACI Struct. J., 104(6), 731-739.
  22. Sasani, M. (2008), "Response of a reinforced concrete infilled-frame structure to removal of two adjacent columns", Eng. Struct., 30, 2478-2491. https://doi.org/10.1016/j.engstruct.2008.01.019
  23. Song, B.I. and Sezen, H. (2013), "Experimental and analytical progressive collapse assessment of a steel frame building", Eng. Struct., 56, 664-672. https://doi.org/10.1016/j.engstruct.2013.05.050
  24. Su, Y., Tian, Y. and Song, X. (2009), "Progressive collapse resistance of axially-restrained frame beams", ACI Struct. J., 106(5), 600-607.
  25. Tian, Y. and Su, Y. (2011), "Dynamic response of reinforced concrete beams following instantaneous removal of a bearing column", Int. J. Concrete Struct. Mater., 5(1), 19-28. https://doi.org/10.4334/IJCSM.2011.5.1.019
  26. Tsai, M.H. and Lin, B.H. (2008), "Investigation of progressive collapse resistance and inelastic response for an earthquake-resistant RC building subjected to column failure", Eng. Struct., 30, 3619-3628. https://doi.org/10.1016/j.engstruct.2008.05.031
  27. Tsai, M.H. (2010), "An analytical methodology for the dynamic amplification factor in progressive collapse evaluation of building structures", Mech. Res. Commun., 37, 61-66. https://doi.org/10.1016/j.mechrescom.2009.11.001
  28. Tsai, M.H. (2012), "A performance-based design approach for retrofitting regular building frames with steel braces against sudden column loss", J. Constr. Steel Res., 77, 1-11. https://doi.org/10.1016/j.jcsr.2012.04.008
  29. Tsai, M.H. and You, Z.K. (2012), "Experimental evaluation of inelastic dynamic amplification factors for progressive collapse analysis under sudden support loss", Mech. Res. Commun., 40, 56-62. https://doi.org/10.1016/j.mechrescom.2012.01.011
  30. Tsai, M.H., Lu, J.K. and Huang, B.H. (2014), "Column-loss response of RC beam-column sub-assemblages with different bar-cutoff patterns", Struct. Eng. Mech., 49(6), 775-792. https://doi.org/10.12989/sem.2014.49.6.775
  31. Tsai, M.H. and Chang, Y.T. (2015), "Collapse-resistant performance of RC beam-column sub-assemblages with varied section depth and stirrup spacing", Struct. Des. Tall Spec. Build., 24, 555-570. https://doi.org/10.1002/tal.1199
  32. Yi, W.J., He, Q.F., Xiao, Y. and Kunnath, S.K. (2008), "Experimental study on progressive collapse-resistant behavior of reinforced concrete frame structures", ACI Struct. J., 105(4), 433-439.
  33. Yu, J. and Tan, K.H. (2013), "Structural behaviour of RC beam-column sub-assemblages under a middle column removal scenario", J. Struct. Eng., ASCE, 139(2), 233-250. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000658

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