Analytical Modeling of Posttensioned C-Shaped CLT Core Walls
Publication: Journal of Structural Engineering
Volume 149, Issue 3
Abstract
Post-tensioned (PT) timber technology, also referred to as Pres-Lam (prestressed laminated timber) provides a low damage seismic design solution. So far PT timber research and practical implementation have focused on moment resisting frames, planar shear walls and coupled planar shear wall—or column-wall-column—systems and their analytical prediction models were adapted and extended from precast concrete to account for the unique characteristics of engineered timber. Following a recent experimental study on a PT cross-laminated timber (CLT) C-shaped core-wall system aiming to enhance lateral strength and stiffness, this paper presents an analytical framework/model to capture three unique kinematic rocking mechanisms for a PT C-shaped CLT core-wall system connected primarily with self-tapping screws. Depending on the relative stiffness of the screwed connections to the PT and the energy dissipaters, the model considers different kinematic responses, and that a staged kinematic response could occur at different imposed core-wall base connection rotations. It also accounts for the material inhomogeneity of CLT with nonedge glued lamella and implements a nonlinear spring model for the screwed connections calibrated from component testing and expected elastic core-wall deformations. The study showed that, for the given specimen configurations presented, the compressive flange wall could be neglected for a PT C-shaped CLT core wall. The analytical model was verified against three large-scale 8.6 m high PT C-shaped core-wall experimental tests and the model prediction error was within 10%. The analytical model was limited to capturing the envelope (push-over) curve of a four wall PT C-shaped CLT core-wall system.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors would like to acknowledge the sponsorship of Specialty Wood Products Partnership, New Zealand Douglas-Fir Association, Australian Research Council Future Timber Hub, SPAX Pacific, BBR Contech, and the New Zealand Commonwealth Scholarship and Fellowship Plan. PTL Structural Consultants is acknowledged for the use of the Pres-Lam system and patent (2007) in this research. The technical comments from Dr. Tobias Smith are gratefully acknowledged.
References
Akbas, T., R. Sause, J. M. Ricles, R. Ganey, J. Berman, S. Loftus, J. D. Dolan, S. L. Pei, J. W. van de Lindt, and H. E. Blomgren. 2017. “Analytical and experimental lateral-load response of self-centering posttensioned CLT walls.” J. Struct. Eng. 143 (6): 04017019. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001733.
Baird, A., T. Smith, A. Palermo, and S. Pampanin. 2014. “Experimental and numerical Study of U-shape flexural plate (UFP) dissipators.” In Proc., NZSEE Conf., 1–9. Auckland, New Zealand: New Zealand Society for Earthquake Engineering.
Bianchi, S., J. Ciurlanti, A. C. Costa, S. Pampanin, D. Perrone, and P. X. Candeias. 2021. “Shake-table tests of innovative drift sensitive nonstructural elements in a low-damage structural system.” Earthquake Eng. Struct. Dyn. 2020 (Sep): 1–23. https://doi.org/https://doi.org/10.1002/eqe.3452.
Brown, J., M. Li, R. Nokes, A. Palermo, S. Pampanin, and F. Sarti. 2020. “Investigating the compressive toe of post-tensioned CLT core-walls use particle tracking technology.” In Proc., 17th World Conf. on Earthquake Engineering. New York: Wiley.
Brown, J., M. Li, A. Palermo, S. Pampanin, and F. Sarti. 2021a. Bi-directional seismic testing of post-tensioned rocking CLT walls and core-walls. San Jose, CA: Curran Associates.
Brown, J. R. 2021. Seismic performance of CLT core-wall systems and connections. Christchurch, New Zealand: Univ. of Canterbury.
Brown, J. R., M. Li, A. Palermo, S. Pampanin, and F. Sarti. 2021b. “Experimental testing of a low-damage post-tensioned C-Shaped CLT core-wall.” J. Struct. Eng. 147 (3): 1–16. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002926.
Brown, J. R., M. Li, A. Palermo, S. Pampanin, F. Sarti, and R. Nokes. 2022. “Experimental testing and analytical modelling of single and double post-tensioned CLT shear walls.” Eng. Struct. 256 (Jun): 114065. https://doi.org/10.1016/j.engstruct.2022.114065.
Brown, J. R., M. Li, and F. Sarti. 2021c. “Structural performance of CLT shear connections with castellations and angle brackets.” Eng. Struct. 240 (Aug): 112346. https://doi.org/10.1016/j.engstruct.2021.112346.
Brown, J. R., M. Li, T. Tannert, and D. Moroder. 2021d. “Experimental study on orthogonal joints in cross-laminated timber with self-tapping screws installed with mixed angles.” Eng. Struct. 228 (Feb): 111560. https://doi.org/10.1016/j.engstruct.2020.111560.
Casagrande, D., S. Rossi, R. Tomasi, and G. Mischi. 2016. “A predictive analytical model for the elasto-plastic behaviour of a light timber-frame shear-wall.” Constr. Build. Mater. 102 (Jun): 1113–1126. https://doi.org/10.1016/j.conbuildmat.2015.06.025.
CEN (European Committee for Standardization). 2014. Eurocode 5: Design of timber structures-Part 1-1: General-Common rules and rules for buildings. Brussels, Belgium: CEN.
Chen, Z., and M. Popovski. 2020. “Mechanics-based analytical models for balloon-type cross-laminated timber (CLT) shear walls under lateral loads.” Eng. Struct. 208 (Jan): 109916. https://doi.org/10.1016/j.engstruct.2019.109916.
Chen, Z., M. Popovski, and A. Iqbal. 2020. “Structural performance of post-tensioned CLT shear walls with energy dissipators.” J. Struct. Eng. 146 (4): 04020035. https://doi.org/10.1061/(asce)st.1943-541x.0002569.
Di Cesare, A., F. C. Ponzo, D. Nigro, S. Pampanin, and T. Smith. 2017. “Shaking table testing of post-tensioned timber frame building with passive energy dissipation systems.” Bull. Earthquake Eng. 15 (10): 4475–4498. https://doi.org/10.1007/s10518-017-0115-9.
Dietsch, P., and R. Brandner. 2015. “Self-tapping screws and threaded rods as reinforcement for structural timber elements-A state-of-the-art report.” Constr. Build. Mater. 97 (Apr): 78–89. https://doi.org/10.1016/j.conbuildmat.2015.04.028.
Dujic, B., J. Pucelj, and R. Zarnic. 2004. “Testing of racking behavior of massive wooden wall panels.” In Proc., CIB W18 Meeting 37. Karlsruhe, Germany: Universitat Karlsruhe.
Dunbar, A., D. Moroder, S. Pampanin, and A. Buchanan. 2014. “Timber core-walls for lateral load resistance of multi-storey timber buildings.” In Proc., World Conf. on Timber Engineering. San Jose, CA: Curran Associates.
ETA (European Technical Approval). 2017. SPAX self-tapping screws—Screws for use in timber constructions. Denmark, Europe: ETA.
ETA (European Technical Approval). 2018. Macalloy 1030 post tensioning system. Denmark, Europe: ETA.
ETA (European Technical Approval). 2019. Rotho Blass Self-tapping screws and threaded rods. Denmark, Europe: ETA.
Folz, B., and A. Filiatrault. 2001. “Cyclic analysis of wood shear walls.” J. Struct. Eng. 127 (4): 433–441. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:4(433).
Foschi, R. O. 1974. “Load-slip characteristics of nails.” Wood Sci. 7 (1): 69–74.
Foschi, R. O. 1977. “Analysis of wood diaphragms and trusses, Part 1: Diaphragms.” Can. J. Civ. Eng. 4 (3): 345–352. https://doi.org/10.1139/l77-043.
FPInnovations. 2019. CLT Handbook. Vancouver, BC: FPInnovations.
Ganey, R., J. Berman, T. Akbas, S. Loftus, J. Daniel Dolan, R. Sause, J. Ricles, S. Pei, J. V. D. Lindt, and H. E. Blomgren. 2017. “Experimental investigation of self-centering cross-laminated timber walls.” J. Struct. Eng. 143 (10): 04017135. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001877.
Gavric, I., M. Fragiacomo, and A. Ceccotti. 2015. “Cyclic behavior of CLT wall systems: Experimental tests and analytical prediction models.” J. Struct. Eng. 141 (11): 4015034. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001246.
Granello, G., A. Palermo, S. Pampanin, S. Pei, and J. Lindt. 2020. “Pres-lam buildings: State-of-the-art.” J. Struct. Eng. 146 (6): 1–16. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002603.
Holden, T., C. Devereux, S. Haydon, A. Buchanan, and S. Pampanin. 2016. “NMIT arts and media building—Innovative structural design of a three storey post-tensioned timber building.” Case Stud. Struct. Eng. 6 (6): 76–83. https://doi.org/10.1016/j.csse.2016.06.003.
Hossain, A. 2019. “Experimental investigations of shear connection with STS for CLT panels.” Ph.D. thesis, Faculty of Forestry, Univ. of British Columbia.
Hossain, A., M. Popovski, and T. Tannert. 2019. “Group effects for shear connections with self-tapping screws in CLT.” J. Struct. Eng. 145 (8): 1–9. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002357.
Iqbal, A., M. Fragiacomo, S. Pampanin, and A. Buchanan. 2018. “Seismic resilience of plywood-coupled LVL wall panels.” Eng. Struct. 167 (9): 750–759. https://doi.org/10.1016/j.engstruct.2017.09.053.
Iqbal, A., S. Pampanin, A. Palermo, and A. H. Buchanan. 2015a. “Performance and design of LVL walls coupled with UFP dissipaters.” J. Earthquake Eng. 19 (3): 383–409. https://doi.org/10.1080/13632469.2014.987406.
Iqbal, A., T. Smith, S. Pampanin, M. Fragiacomo, A. Palermo, and A. H. Buchanan. 2015b. “Experimental performance and structural analysis of plywood-coupled LVL walls.” J. Struct. Eng. 142 (2): 04015123. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001383.
Izzi, M., D. Casagrande, S. Bezzi, D. Pasca, M. Follesa, and R. Tomasi. 2018. “Seismic behaviour of cross-laminated timber structures: A state-of-the-art review.” Eng. Struct. 170 (3): 42–52. https://doi.org/10.1016/j.engstruct.2018.05.060.
Kelly, J. M., R. I. Skinner, and A. J. Heine. 1972. “Mechanisms of energy absorption in special devices for use in earthquake resistant structures.” Bull. N. Z. Soc. Earthquake Eng. 5 (3): 63–88. https://doi.org/10.5459/bnzsee.5.3.63-88.
Kovacs, M. A. 2016. “Design of controlled rocking heavy timber walls for low-to-moderate seismic hazard regions.” Master’s thesis, Dept. of Civil Engineering, McMaster Univ.
Li, M., R. O. Foschi, and F. Lam. 2012. “Modeling hysteretic behavior of wood shear walls with a protocol-independent nail connection algorithm.” J. Struct. Eng. 138 (1): 99–108. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000438.
Li, M., F. Lam, and R. O. Foschi. 2009. “Seismic reliability analysis of diagonal-braced and structural-panel-sheathed wood shear walls.” J. Struct. Eng. 135 (5): 587–596. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000008.
Loss, C., A. Hossain, and T. Tannert. 2018. “Simple cross-laminated timber shear connections with spatially arranged screws.” Eng. Struct. 173 (7): 340–356. https://doi.org/10.1016/j.engstruct.2018.07.004.
Lukacs, I., A. Björnfot, and R. Tomasi. 2019. “Strength and stiffness of cross-laminated timber (CLT) shear walls: State-of-the-art of analytical approaches.” Eng. Struct. 178 (Oct): 136–147. https://doi.org/10.1016/j.engstruct.2018.05.126.
Mancini, M. J., and S. Pampanin. 2018. “Numerical and experimental investigation on low damage steel-timber post-tensioned beam-column connection.” In Proc., 16th European Conf. on Earthquake Engineering, 1–12. Berlin: Springer.
Marriott, D. 2009. The development of high-performance post-tensioned rocking systems for the seismic design of structures. Christchurch, New Zealand: Univ. of Canterbury.
Moroder, D., S. Pampanin, A. Palermo, T. Smith, F. Sarti, and A. Buchanan. 2017. “Diaphragm connections in structures with rocking timber walls.” Struct. Eng. Int. 27 (2): 165–174. https://doi.org/10.2749/101686617X14881932435574.
Moroder, D., T. Smith, A. Dunbar, S. Pampanin, and A. Buchanan. 2018. “Seismic testing of post-tensioned Pres-Lam core walls using cross laminated timber.” Eng. Struct. 167 (8): 639–654. https://doi.org/10.1016/j.engstruct.2018.02.075.
Nagashima, T., K. Tachibana, M. Yano, and Y. Ohashi. 2020. “Design method for post-tensioned timber shear wall—Triangular embedment and behaviour in elastic range.” AIJ 85 (770): 539–549. https://doi.org/10.1017/CBO9781107415324.004.
Newcombe, M. P. 2011. “Seismic design of post-tensioned timber frame and wall buildings.” Ph.D. thesis, Dept. of Civil and Natural Resources Engineering, Univ. of Canterbury.
Newcombe, M. P. 2015. “The connection response of rocking timber walls.” SESOC J. 28 (1): 46–53.
Newcombe, M. P., S. Pampanin, A. Buchanan, and A. Palermo. 2008. “Section analysis and cyclic behavior of post-tensioned jointed ductile connections for multi-story timber buildings.” J. Earthquake Eng. 12 (62): 83–110. https://doi.org/10.1080/13632460801925632.
Nolet, V., D. Casagrande, and G. Doudak. 2019. “Multipanel CLT shearwalls: An analytical methodology to predict the elastic-plastic behavior.” Eng. Struct. 179 (11): 640–654. https://doi.org/10.1016/j.engstruct.2018.11.017.
Palermo, A. 2004. Use of controlled rocking in the seismic design of bridges. Milan, Italy: Univ. of Milan.
Palermo, A., S. Pampanin, and A. H. Buchanan. 2006a. “Experimental investigations on LVL seismic resistant wall and frame subassemblies.” In Proc., 1st European Conf. in Earthquake Engineering and Seismology. New York: Curran Associates.
Palermo, A., S. Pampanin, A. H. Buchanan, and M. P. Newcombe. 2005. “Seismic design of multi-storey buildings using laminated veneer lumber.” In Proc., New Zealand Society for Earthquake Engineering Conf. Christchurch, New Zealand: Univ. of Canterbury.
Palermo, A., S. Pampanin, M. Fragiacomo, A. H. Buchanan, and B. L. Deam. 2006b. “Innovative seismic solutions for multi-storey LVL timber buildings.” In Proc., WCTE 2006—World Conf. on Timber Engineering. Christchurch, New Zealand: Univ. of Canterbury.
Pampanin, S., M. J. Nigel Priestley, and S. Sritharan. 2001. “Analytical modelling of the seismic behaviour of precast concrete frames designed with ductile connections.” J. Earthquake Eng. 5 (3): 329–367. https://doi.org/10.1080/13632460109350397.
Pampanin, S., A. Palermo, and A. Buchanan. 2013. Post-tensioned timber buildings—Design guide Australia and New Zealand. Christchurch, New Zealand: Structural Timber Innovation Company.
Pei, S., J. W. Van De Lindt, A. R. Barbosa, J. W. Berman, E. McDonnell, J. Daniel Dolan, H. E. Blomgren, R. B. Zimmerman, D. Huang, and S. Wichman. 2019. “Experimental seismic response of a resilient 2-story mass-timber building with post-tensioned rocking walls.” J. Struct. Eng. 145 (11): 1–15. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002382.
Ramberg, W., and W. R. Osgood. 1943. Description of stress-strain curves by three parameters. Christchurch, New Zealand: National Advisory Committee for Aeronautics.
Sarti, F. 2015. “Seismic design of low-damage post-tensioned timber wall systems.” Ph.D. thesis, Dept. of Civil and Natural Resources Engineering, Univ. of Canterbury.
Sarti, F., A. Palermo, and S. Pampanin. 2016a. “Development and testing of an alternative dissipative post-tensioned rocking timber wall with boundary columns.” J. Struct. Eng. 142 (4): E4015011. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001390.
Sarti, F., A. Palermo, and S. Pampanin. 2016b. “Quasi-static cyclic testing of two-thirds scale unbonded post-tensioned rocking dissipative timber walls.” J. Struct. Eng. 142 (4): 1–14. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001291.
Schickhofer, G., T. Bogensperger, and T. Moosbrugger. 2010. BSPhandbuch, Holz-Massivbauweise in Brettsperrholz. Graz Austria: Technische Universitat Graz.
Shahnewaz, M., M. Popovski, and T. Tannert. 2020. “Deflection of cross-laminated timber shear walls for platform-type construction.” Eng. Struct. 221 (Jul): 111091. https://doi.org/10.1016/j.engstruct.2020.111091.
Skinner, R. I., J. M. Kelly, and A. J. Heine. 1974. “Hysteretic dampers for earthquake-resistant structures.” Earthquake Eng. Struct. Dyn. 3 (3): 287–296. https://doi.org/10.1002/eqe.4290030307.
Smith, T., F. C. Ponzo, A. Di Cesare, S. Pampanin, D. Carradine, A. H. Buchanan, and D. Nigro. 2014. “Post-tensioned glulam beam-column joints with advanced damping systems: Testing and numerical analysis.” J. Earthquake Eng. 18 (1): 147–167. https://doi.org/10.1080/13632469.2013.835291.
Sun, X., M. He, and Z. Li. 2020. “Experimental and analytical lateral performance of posttensioned CLT shear walls and conventional CLT shear walls.” J. Struct. Eng. 146 (6): 1–15. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002638.
Tomasi, R., M. Piazza, A. Angeli, and M. Mores. 2006. A new ductile approach design of joints assembled with screw connectors. Portland, OR: Oregon State Univ. Conference Services.
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© 2023 American Society of Civil Engineers.
History
Received: Mar 1, 2022
Accepted: Oct 18, 2022
Published online: Jan 12, 2023
Published in print: Mar 1, 2023
Discussion open until: Jun 12, 2023
ASCE Technical Topics:
- Building materials
- Connections (structural)
- Continuum mechanics
- Core walls
- Dynamics (solid mechanics)
- Earthquake engineering
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Errors (statistics)
- Geotechnical engineering
- Kinematics
- Kinetics
- Material mechanics
- Material properties
- Materials engineering
- Mathematics
- Mechanical properties
- Seismic design
- Shear walls
- Solid mechanics
- Statistics
- Structural engineering
- Structural members
- Structural systems
- Tension
- Walls
- Wood and wood products
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