Technical Papers
Jul 19, 2024

Wind-Induced Response and Equivalent Static Wind Loads on Single-Layer Saddle-Shaped Shells

Publication: Journal of Structural Engineering
Volume 150, Issue 10

Abstract

Saddle-shaped roofs are one typical kind of large span roofs, but there are few studies on the equivalent static wind load (ESWL) of saddle-shaped roofs, which is important for structural design. This study conducts wind pressure measurements of saddle-shaped roofs with three typical rise-span ratios (f/S=1/6, 1/8, 1/12) by wind tunnel tests. Subsequently, the influences of wind and structural parameters on dynamic responses and ESWLs are investigated for 81 single-layer saddle-shaped shells with different structural stiffness, including rise-span ratio, span length, roof mass, and incoming mean wind velocity. The results show that the most unfavorable wind directions of the peak structural responses for single-layer saddle-shaped shells are 60° and 90°, as well as the axisymmetric wind directions corresponding to these two wind directions, i.e., 120°, 240°, 270°, 300°. Finally, a simple fundamental vector is proposed to express the multitarget ESWLs for single-layer saddle-shaped shells to reproduce multiple peak responses at the most unfavorable wind directions. Through parametric analysis, mean pressure coefficients of roof zones are proposed. Within the investigated parameter ranges, the fluctuating ESWL coefficients are expressed as the functions of the reduced structural frequency at the most unfavorable wind directions, which is very convenient for structural engineers to determine the wind loads on main force resisting structural systems.

Get full access to this article

View all available purchase options and get full access to this article.

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 work was partially supported by the National Natural Science Foundation of China (Grant Nos. 52078088, 52221002), and the 111 Project of China (Grant No. B18062).

References

AIJ (Architectural Institute of Japan). 2015. AIJ recommendations for loads on buildings. Tokyo: AIJ.
ASCE. 2021. Minimum design loads and associated criteria for buildings and other structures. ASCE/SEI 7-22. Reston, VA: ASCE.
Blaise, N., and V. Denoël. 2013. “Principal static wind loads.” J. Wind Eng. Ind. Aerodyn. 113 (1): 29–39. https://doi.org/10.1016/j.jweia.2012.12.009.
Chen, B., R. Bian, Z. Chen, X. Wang, and Q. Yang. 2022. “Peak wind pressures on roof claddings of regular railway stations.” Eng. Struct. 259 (May): 114178. https://doi.org/10.1016/j.engstruct.2022.114178.
Chen, B., P. Y. Luo, and Q. S. Yang. 2014a. “Frequency response function of a pressure measurement pipe system and its effect on structural wind effects.” [In Chinese.] J. Vib. Shock. 33 (3): 130–134. https://doi.org/10.13465/j.cnki.jvs.2014.03.024.
Chen, B., K. Wang, J. Chao, and Q. Yang. 2018. “Equivalent static wind loads on single-layer cylindrical steel shells.” J. Struct. Eng. 144 (7): 04018077. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002063.
Chen, B., Y. Wu, and S. Sheng. 2006. “A new method for wind-induced response analysis of long span roofs.” Int. J. Space Struct. 21 (2): 93–101. https://doi.org/10.1260/026635106778494363.
Chen, B., X.-Y. Yan, and Q.-S. Yang. 2014b. “Wind-induced response and universal equivalent static wind loads of single-layer reticular dome shells.” Int. J. Struct. Stab. Dyn. 14 (4): 1450008. https://doi.org/10.1142/S0219455414500084.
Chen, B., Q. Yang, and Y. Wu. 2012. “Wind-induced response and equivalent static wind loads of long span roofs.” Adv. Struct. Eng. 15 (7): 1099–1114. https://doi.org/10.1260/1369-4332.15.7.1099.
Chinese Standard. 2010. Technical specification for space frame structures. JGJ 7-2010. Beijing: China Architecture & Building Press.
Chinese Standard. 2012. Load code for the design of building structures. GB 50009. Beijing: China Architecture & Building Press.
Davenport, A. G. 1967. “Gust loading factors.” J. Struct. Div. 93 (3): 11–34. https://doi.org/10.1061/JSDEAG.0001692.
Dong, X., and J. Ye. 2015. “Development and verification of a flow model of conical vortices on saddle roofs.” J. Eng. Mech. 141 (3): 04014127. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000848.
Ghazala, T., A. Elshaerb, and H. Aboshoshaa. 2022. “Wind load evaluation on storm shelters using wind tunnel testing and North American design codes.” Eng. Struct. 254 (Mar): 113821. https://doi.org/10.1016/j.engstruct.2021.113821.
He, J., F. Pan, C. S. Cai, A. Chowdhury, and F. Habte. 2018. “Progressive failure analysis of low-rise timber buildings under extreme wind events using a DAD approach.” J. Wind Eng. Ind. Aerodyn. 182 (Nov): 101–114. https://doi.org/10.1016/j.jweia.2018.09.018.
Holmes, J. D. 2002. “Effective static load distributions in wind engineering.” J. Wind Eng. Ind. Aerodyn. 90 (2): 91–109. https://doi.org/10.1016/S0167-6105(01)00164-7.
Huang, G., X. Ji, H. Zheng, Y. Luo, X. Peng, and Q. Yang. 2018. “Uncertainty of peak value of non-Gaussian wind load effect: Analytical approach.” J. Eng. Mech. 144 (2): 0417172. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001402.
Irwin, H. P. A. H. 1981. “The design of spires for wind simulation.” J. Wind Eng. Ind. Aerodyn. 7 (3): 361–366. https://doi.org/10.1016/0167-6105(81)90058-1.
Kasperski, M., and H. J. Niemann. 1992. “The LRC (load-response-correlation) method: A general method of estimating unfavorable wind load distributions for linear and nonlinear structural behaviour.” J. Wind Eng. Ind. Aerodyn. 43 (1–3): 1753–1763. https://doi.org/10.1016/0167-6105(92)90588-2.
Katsumura, A., Y. Tamura, and O. Nakamura. 2007. “Universal wind load distribution simultaneously reproducing largest load effects in all subject members on large-span cantilevered roof.” J. Wind Eng. Ind. Aerodyn. 95 (9–11): 1145–1165. https://doi.org/10.1016/j.jweia.2007.01.020.
Kim, Y. C., S. W. Yoon, D. J. Cheon, and J. Y. Song. 2019. “Characteristics of wind pressures on retractable dome roofs and external peak pressure coefficients for cladding design.” J. Wind Eng. Ind. Aerodyn. 188 (May): 294–307. https://doi.org/10.1016/j.jweia.2019.01.016.
Kopp, G. A., J. H. Oh, and D. R. Inculet. 2008. “Wind-induced internal pressures in houses.” J. Struct. Eng. 134 (7): 1129–1138. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:7(1129).
Li, Y. Q., Y. Tamura, A. Yoshida, A. Katsumura, and K. Cho. 2006. “Wind loading and its effects on single-layer reticulated cylindrical shells.” J. Wind Eng. Ind. Aerodyn. 94 (12): 949–973. https://doi.org/10.1016/j.jweia.2006.04.004.
Liu, M., X. Chen, and Q. Yang. 2016. “Characteristics of dynamic pressures on a saddle type roof in various boundary layer flows.” J. Wind Eng. Ind. Aerodyn. 150 (Mar): 1–14. https://doi.org/10.1016/j.jweia.2015.11.012.
Nakayama, M., Y. Sasaki, K. Masuda, and T. Ogawa. 1998. “An efficient method for selection of vibration modes contributory to wind response on dome-like roofs.” J. Wind Eng. Ind. Aerodyn. 73 (1): 31–43. https://doi.org/10.1016/S0167-6105(97)00277-8.
Pan, F., C. S. Cai, and W. Zhang. 2013. “Wind-induced internal pressures of buildings with multiple openings.” J. Eng. Mech. 139 (3): 376–385. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000464.
Patruno, L., M. Ricci, S. de Miranda, and F. Ubertini. 2017. “An efficient approach to the determination of equivalent static wind loads.” J. Fluids Struct. 68 (Jan): 1–14. https://doi.org/10.1016/j.jfluidstructs.2016.10.003.
Qiu, Y., Y. Sun, Y. Wu, and Y. Tamura. 2014. “Modeling the mean wind loads on cylindrical roofs with consideration of the Reynolds number effect in uniform flow with low turbulence.” J. Wind Eng. Ind. Aerodyn. 129 (Jun): 11–21. https://doi.org/10.1016/j.jweia.2014.02.011.
Rizzo, F., M. Barbato, and V. Sepe. 2018. “Peak factor statistics of wind effects for hyperbolic paraboloid roofs.” Eng. Struct. 173 (Oct): 313–330. https://doi.org/10.1016/j.engstruct.2018.06.106.
Rizzo, F., and F. Ricciardelli. 2017. “Design pressure coefficients for circular and elliptical plan structures with hyperbolic paraboloid roof.” Eng. Struct. 139 (May): 153–169. https://doi.org/10.1016/j.engstruct.2017.02.035.
Rizzo, F., and V. Sepe. 2015. “Static loads to simulate dynamic effects of wind on hyperbolic paraboloid roofs with square plan.” J. Wind Eng. Ind. Aerodyn. 137 (Feb): 46–57. https://doi.org/10.1016/j.jweia.2014.11.012.
Solari, G., and A. Kareem. 1998. “On the formulation of ASCE7-95 gust effect factor.” J. Wind Eng. Ind. Aerodyn. 77–78 (Sep): 673–684. https://doi.org/10.1016/S0167-6105(98)00182-2.
Su, N., S. Peng, and N. Hong. 2018. “Analyzing the background and resonant effects of wind-induced responses on large-span roofs.” J. Wind Eng. Ind. Aerodyn. 183 (Dec): 114–126. https://doi.org/10.1016/j.jweia.2018.10.021.
Uematsu, Y., and N. Isyumov. 1999. “Wind pressures acting on low-rise buildings.” J. Wind Eng. Ind. Aerodyn. 82 (1–3): 1–25. https://doi.org/10.1016/S0167-6105(99)00036-7.
Uematsu, Y., T. Moteki, and T. Hongo. 2008. “Model of wind pressure field on circular flat roofs and its application to load estimation.” J. Wind Eng. Ind. Aerodyn. 96 (6–7): 1003–1014. https://doi.org/10.1016/j.jweia.2007.06.025.
Uematsu, Y., K. Watanabe, A. Sasaki, M. Yamada, and T. Hongo. 1999. “Wind-induced dynamic response and resultant load estimation of a circular flat roof.” J. Wind Eng. Ind. Aerodyn. 83 (1–3): 251–261. https://doi.org/10.1016/S0167-6105(99)00076-8.
Uematsu, Y., and M. Yamada. 2002. “Wind-induced dynamic response and its load estimation for structural frames of circular flat roofs with long spans.” Wind Struct. 5 (1): 49–60. https://doi.org/10.12989/was.2002.5.1.049.
Uematsu, Y., M. Yamada, and A. Sasaki. 1996. “Wind-induced dynamic response and resultant load estimation for a flat long-span roof.” J. Wind Eng. Ind. Aerodyn. 65 (1–3): 155–166. https://doi.org/10.1016/S0167-6105(97)00032-9.
Wang, X., Z. Huang, B. Chen, and Q. Yang. 2020. “Equivalent static wind loads on plate-like flat roofs: Data-based closed form.” J. Struct. Eng. 146 (6): 04020099. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002643.
Wang, X. J., Q. S. Li, B. W. Yan, and J. C. Li. 2018. “Field measurements of wind effects on a low-rise building with roof overhang during typhoons.” J. Wind Eng. Ind. Aerodyn. 176 (May): 143–157. https://doi.org/10.1016/j.jweia.2018.03.015.
Wang, Z., X. Wang, H. Zhao, B. Chen, and Q. Yang. 2023. “Equivalent static wind loads on canopies of regular railway stations.” Eng. Struct. 276 (Feb): 115336. https://doi.org/10.1016/j.engstruct.2022.115336.
Yang, Q., R. Gao, F. Bai, T. Li, and Y. Tamura. 2018. “Damage to buildings and structures due to recent devastating wind hazards in East Asia.” Nat. Hazards 92 (3): 1321–1353. https://doi.org/10.1007/s11069-018-3253-8.
Zhou, X., M. Gu, and G. Li. 2014. “Constrained least-squares method for computing equivalent static wind loads of large-span roofs.” Adv. Struct. Eng. 17 (10): 1497–1515. https://doi.org/10.1260/1369-4332.17.10.1497.
Zhou, Y., A. Kareem, and M. Gu. 2000. “Equivalent static buffeting wind loads on structures.” J. Struct. Eng. 126 (8): 989–992. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(989).

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 10October 2024

History

Received: Dec 10, 2023
Accepted: Apr 24, 2024
Published online: Jul 19, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 19, 2024

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Professor, School of Civil Engineering, Chongqing Univ., Chongqing 400044, China. ORCID: https://orcid.org/0000-0003-2702-3758. Email: [email protected]
Consulting Engineer, Scientech Information and Publications, No.22 Baiwanzhuang St., Xicheng District, Beijing 100037, China. Email: [email protected]
Ph.D. Candidate, School of Civil Engineering, Chongqing Univ., Chongqing 400044, China (corresponding author). ORCID: https://orcid.org/0000-0001-7247-0595. Email: [email protected]
Qingshan Yang [email protected]
Professor, School of Civil Engineering, Chongqing Univ., Chongqing 400044, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share