Iterative and Simplified Sandwich Beam Theory for Partially Composite Concrete Sandwich Wall Panels
Publication: Journal of Structural Engineering
Volume 147, Issue 10
Abstract
This paper presents an iterative sandwich beam theory (ISBT) and a simplified version suitable for the design termed simplified sandwich beam theory (SSBT) used to predict the elastic mechanics of partially composite insulated concrete sandwich wall panels (SWPs) under flexural, axial, and thermal loads. These solution methods expand upon closed-form solutions to create a more general analysis technique. Design and analysis of SWPs are handled largely outside of codified documents and are almost exclusively designed such that they will remain within the elastic range. The presented ISBT and SSBT methods have been used in the United States precast industry since 2017 and are implemented in widely available software, LECWall, as of 2020, for predicting elastic deflections and stresses. In this paper, the ISBT and SSBT solution methods are validated with experimental data from the literature and using finite-element analysis. For the ISBT cracking moment and deflection, the measured-to-predicted ratio were 0.99 and 1.0 with coefficients of variation (COVs) of 0.10 and 0.11, respectively. For the SSBT cracking moment and deflection, the measured-to-predicted ratio was 0.99 and 0.99 with COVs of 0.21 and 0.19, respectively. For thermal loading, the ISBT and SSBT deflection m easured-to-predicted ratios were 0.95 and 0.90, respectively. The model was then used to investigate the behavior of sandwich wall panels under varying load combinations and with various section and material properties to demonstrate the robustness of the presented methods.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The authors wish to thank the Precast/Prestressed Concrete Institute for partially funding this work through a Daniel P. Jenny Fellowship.
References
ACI (American Concrete Institute). 2014. Building code requirements for structural concrete. ACI Committee 318. Farmington Hills, MI: ACI.
Allen, H. G. 1969. Analysis and design of structural sandwich panels. Oxford: Pergamon Press.
Al-Rubaye, S., J. Olsen, T. Sorensen, and M. Maguire. 2018. “Evaluating elastic behavior for partially composite precast concrete sandwich wall panels.” PCI J. 63 (5): 71–88. https://doi.org/10.15554/pcij63.5-04.
Al-Rubaye, S., T. Sorensen, and M. Maguire. 2017. “Investigating composite action at ultimate for commercial sandwich panel composite connectors.” In Proc., PCI Convention and National Bridge Conf. Chicago: Precast/Prestressed Concrete Institute.
Al-Rubaye, S., T. Sorensen, R. J. Thomas, and M. Maguire. 2019. “Generalized beam–spring model for predicting elastic behavior of partially composite concrete sandwich wall panels.” Eng. Struct. 198 (Mar): 109533. https://doi.org/10.1016/j.engstruct.2019.109533.
Bai, F., and J. S. Davidson. 2015. “Analysis of partially composite foam insulated concrete sandwich structures.” Eng. Struct. 91 (May): 197–209. https://doi.org/10.1016/j.engstruct.2015.02.033.
Bai, F., and J. S. Davidson. 2016. “Theory for composite sandwich structures with unsymmetrical wythes and transverse interaction.” Eng. Struct. 116 (Jun): 178–191. https://doi.org/10.1016/j.engstruct.2016.02.052.
Bush, T. D., and Z. Wu. 1998. “Flexural analysis of prestressed concrete sandwich panels with truss connectors.” PCI J. 43 (5): 76–86. https://doi.org/10.15554/pcij.09011998.76.86.
Chen, A., M. Yossef, and P. Hopkins. 2020. “A comparative study of different methods to calculate degrees of composite action for insulated concrete sandwich panels.” Eng. Struct. 212: 110423. https://doi.org/10.1016/j.engstruct.2020.110423.
Cox, B., P. Syndergaard, S. Al-Rubaye, F. F. Pozo-Lora, R. Tawadrous, and M. Maguire. 2019. “Lumped GFRP star connector system for partial composite action in insulated precast concrete sandwich panels.” Compos. Struct. 229 (Dec): 111465. https://doi.org/10.1016/j.compstruct.2019.111465.
Einea, A., D. C. Salmon, G. J. Fogarasi, T. D. Culp, and M. K. Tadros. 1991. “State-of-the-art of precast concrete sandwich panels.” PCI J. 36 (6): 78–98. https://doi.org/10.15554/pcij.11011991.78.98.
Ekenel, M. 2014. “Testing and acceptance criteria for fiber-reinforced composite grid connectors used in concrete sandwich panels.” J. Mater. Civ. Eng. 26 (6): 06014004. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000915.
Gombeda, M. J., C. J. Naito, and S. E. Quiel. 2021. “Flexural performance of precast concrete insulated wall panels with various configurations of ductile shear ties.” J. Build. Eng. 33 (Jan): 101574. https://doi.org/10.1016/j.jobe.2020.101574.
Gombeda, M. J., P. Trasborg, C. J. Naito, and S. E. Quiel. 2017. “Simplified model for partially-composite precast concrete insulated wall panels subjected to lateral loading.” Eng. Struct. 138 (May): 367–380. https://doi.org/10.1016/j.engstruct.2017.01.065.
Granholm, H. 1949. Om sammansatta balkar och pelare med särskild hänsyn till spikade träkonstruktioner: On composite beams and columns with particular regard to nailed timber structures. Göteborg, Sweden: Chalmers Tekniska Högskola.
Henin, E., G. Morcous, and M. K. Tadros. 2014. “Precast/prestressed concrete sandwich panels for thermally efficient floor/roof applications.” Pract. Period. Struct. Des. Constr. 19 (3): 04014013. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000213.
Holmberg, A., and E. Plem. 1965. Behaviour of load-bearing sandwich-type structures. Lund, Sweden: Byggforskningen.
Jensen, K., S. Al-Rubaye, R. Thomas, and M. Maguire. 2020. “Mechanics-based model for elastic bending, axial, thermal deformations and asymmetry of concrete composite sandwich wall panels.” Structures 23: 459–471. https://doi.org/10.1016/j.istruc.2019.11.004.
Losch Software. 2020. “LECWall concrete insulated wall panel and column design and analysis.” Accessed March 2020. https://loscheng.com/downloads/LECWallDoc.pdf.
Naito, C., J. Hoemann, M. Beacraft, and B. Bewick. 2012. “Performance and characterization of shear ties for use in insulated precast concrete sandwich wall panels.” J. Struct. Eng. 138 (1): 52–61. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000430.
Naito, C. J., J. M. Hoemann, J. S. Shull, A. Saucier, H. A. Salim, B. T. Bewick, and M. I. Hammons. 2011. Precast/prestressed concrete experiments performance on non-load bearing sandwich wall panels. Wright-Patterson Air Force Base, OH: Air Force Research Laboratory.
Newmark, N. M., C. P. Siess, and I. M. Viest. 1951. “Tests and analysis of composite beams with in-complete interaction.” Proc. Soc. Exp. Stress Anal. 9 (1): 75–92.
Noor, A. K., W. S. Burton, and C. W. Bert. 1996. “Computational models for sandwich panels and shells.” Appl. Mech. Rev. 49 (3): 155–199. https://doi.org/10.1115/1.3101923.
Olsen, J., S. Al-Rubaye, T. Sorensen, and M. Maguire. 2017. Developing a general methodology for evaluating composite action in insulated wall panels. Logan, UT: Utah State Univ. Digital Commons.
Olsen, J., and M. Maguire. 2016. “Shear testing of precast concrete sandwich wall panel composite shear connectors.” In Proc., PCI Convention and National Bridge Conf. Chicago: Precast/Prestressed Concrete Institute.
PCI Committee on Precast Sandwich Wall Panels. 1997. “State of the art of precast/prestressed concrete sandwich wall panels (first edition).” PCI J. 42 (2): 92–134.
PCI Committee on Precast Sandwich Wall Panels. 2011. “State of the art of precast/prestressed concrete sandwich wall panels (second edition).” PCI J. 56 (2): 131–176.
PCI Concrete Handbook Committee. 2017. PCI design handbook: Precast and prestressed concrete. Chicago: Precast/Prestressed Concrete Institute.
Post, A. W. 2006. “Thermal and fatigue testing of fiber reinforced polymer tie connectors used in concrete sandwich walls.” Retrospective theses and dissertations, Iowa State Univ., Digital Repository.
Pozo-Lora, F., and M. Maguire. 2019. Thermal bowing testing of precast concrete sandwich wall panels. Logan, UT: Utah State Univ.
Pozo-Lora, F., and M. Maguire. 2020. “Thermal bowing of concrete sandwich panels with flexible shear connectors.” J. Build. Eng. 29 (Apr): 101124. https://doi.org/10.1016/j.jobe.2019.101124.
Quarteroni, A., R. Sacco, and F. Saleri. 2007. “Numerical mathematics.” In Texts in applied mathematics. New York: Springer.
Salmon, D., and A. Einea. 1995. “Partially composite sandwich panel deflections.” J. Struct. Eng. 121 (4): 778–783. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:4(778).
Salmon, D. C., A. Einea, M. K. Tadros, and T. D. Culp. 1997. “Full scale testing of precast concrete sandwich panels.” ACI Struct. J. 94 (4): 354–362.
Sorensen, T. J., R. J. Thomas, S. Dorafshan, and M. Maguire. 2018. “Thermal bridging in concrete sandwich walls.” Concr. Int. 40 (10): 45–49.
Tomlinson, D., and A. Fam. 2015. “Flexural behavior of precast concrete sandwich wall panels with basalt FRP and steel reinforcement.” PCI J. 60 (6): 51–71. https://doi.org/10.15554/pcij.11012015.51.71.
Tomlinson, D., and A. Fam. 2016. “Analytical approach to flexural response of partially composite insulated concrete sandwich walls used for cladding.” Eng. Struct. 122: 251–266. https://doi.org/10.1016/j.engstruct.2016.04.059.
Trasborg, P. A. 2014. Analytical and experimental evaluation of precast sandwich wall panels subjected to blast, breach, and ballistic demands. Bethlehem, PA: Lehigh Univ.
Woltman, G., D. Tomlinson, and A. Fam. 2013. “Investigation of various GFRP shear connectors for insulated precast concrete sandwich wall panels.” J. Compos. Constr. 17 (5): 711–721. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000373.
Yossef, M., and A. Chen. 2018. “A solution considering partial degree of composite action for insulated sandwich panels with general configuration flexible shear connectors.” Eng. Struct. 162 (Mar): 135–150. https://doi.org/10.1016/j.engstruct.2018.02.019.
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Published In
Journal of Structural Engineering
Volume 147 • Issue 10 • October 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jul 7, 2020
Accepted: Apr 28, 2021
Published online: Jul 20, 2021
Published in print: Oct 1, 2021
Discussion open until: Dec 20, 2021
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