Constitutive Model and Mechanical Properties of Grade 8.8 and 10.9 High-Strength Bolts at Elevated Temperatures
Publication: Journal of Structural Engineering
Volume 150, Issue 6
Abstract
This paper presents an experimental study on the determination of the mechanical behaviors of Grade 8.8 and 10.9 high-strength bolts at elevated temperatures. Strength reduction coefficients are obtained based on test results at temperatures ranging from 20°C to 900°C, for both yield and ultimate stresses. Simplified expressions are presented to identify the strength reduction factors at considered temperatures. At 400°C, the yield and ultimate strengths of bolts decrease by 30%–35% for both grades compared to those in ambient temperature. Yield strengths are 30% and 20% of yield strengths of Grade 8.8 and 10.9 bolts at ambient temperature, respectively, when the temperature exceeds 500°C. The ultimate strength decreases slightly slower than the yield strength at high temperatures. Although the decrease in ultimate strength follows the decrease in yield strength at elevated temperatures, it is slightly slower. About 3%–6% of yield and ultimate strengths at ambient temperature remain for both grades at 700°C. Moreover, a series of expressions are provided to obtain the full range stress–strain curve of high-strength bolts at elevated temperatures. Comprehensive literature studies are taken into consideration to propose a more generalized description of the stress–strain curves. The proposed model can be fully drawn by only using elastic modulus, yield, and ultimate stresses at ambient temperature. It is shown that the proposed model has enough efficiency to describe the general material behavior at elevated temperatures.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
H. Saglik, A. Chen, and R. Ma acknowledge the financial support from the Key Programs of Natural Science Foundation of China (Grant 52238005). A. Etemadi acknowledges financial support from the Scientific Research Projects Coordination Unit (BAP) of Istanbul Esenyurt University.
References
Akagwu, P., F. Ali, and A. Nadjai. 2020. “Behaviour of bolted steel splice connections under fire.” J. Constr. Steel Res. 170 (Jul): 106103. https://doi.org/10.1016/j.jcsr.2020.106103.
AS (Australian standard). 2007. Metallic materials—Tensile testing at ambient temperature. AS 1391–2007. Sydney, NSW, Australia: AS.
ASTM. 1998. Standard test methods for elevated temperature tension tests of metallic materials. ASTM E21–09. West Conshohocken, PA: ASTM.
ASTM. 2013. Standard test methods for tension testing of metallic materials. West Conshohocken, PA: ASTM.
Ban, H., Q. Yang, Y. Shi, and Z. Luo. 2021. “Constitutive model of high-performance bolts at elevated temperatures.” Eng. Struct. 233 (Apr): 111889. https://doi.org/10.1016/j.engstruct.2021.111889.
BSI (British Standards Institution). 2009. Metallic materials—Tensile testing—Part 1: Method of test at ambient temperature. BS EN ISO 6892-1. Brussels, Belgium: BSI.
Bull, L., E. J. Palmiere, R. P. Thackray, I. W. Burgess, and B. Davison. 2015. “Tensile behaviour of galvanised grade 8.8 bolt assemblies in fire.” J. Struct. Fire Eng. 6 (3): 197–212. https://doi.org/10.1260/2040-2317.6.3.197.
CEN (European Committee for Standardization). 2002. Eurocode 1: Actions on structures–Part 1-2: General actions–actions on structures exposed to fire. CEN 1991-1-2. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005a. Eurocode 3: Design of steel structures—Part 1-2: General rules—Structural fire design. CEN 1993-1-2. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005b. Eurocode 4: Design of composite steel and concrete structures—Part 1-2: General rules–Structural fire design. CEN 1994-1-2. Brussels, Belgium: CEN.
Chen, J., and B. Young. 2006. “Stress–strain curves for stainless steel at elevated temperatures.” Eng. Struct. 28 (2): 229–239. https://doi.org/10.1016/j.engstruct.2005.07.005.
Chinese Standard. 2017. Code for fire safety of steel structures in buildings. Beijing: Chinese Standard.
Cui, C., A. Chen, and R. Ma. 2020. “Stability assessment of a suspension bridge considering the tanker fire nearby steel-pylon.” J. Constr. Steel Res. 172 (Sep): 106186. https://doi.org/10.1016/j.jcsr.2020.106186.
Daryan, A. S., and H. Ketabdari. 2019. “Mechanical properties of steel bolts with different diameters after exposure to high temperatures.” J. Mater. Civ. Eng. 31 (10): 04019221. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002865.
Fan, S. G., G. P. Shu, C. S. Huo, C. L. Liu, and Y. L. Tao. 2013. “Research on performance of high-strength bolted connection in fire and after fire.” IES J. Part A: Civ. Struct. Eng. 6 (2): 135–149. https://doi.org/10.1080/19373260.2013.765789.
Furuhara, T., K. Kobayashi, and T. Maki. 2004. “Control of cementite precipitation in lath martensite by rapid heating and tempering.” ISIJ Int. 44 (11): 1937–1944. https://doi.org/10.2355/isijinternational.44.1937.
Gao, S., J. Li, L. Guo, Q. Bai, and F. Li. 2022. “Mechanical properties and low-temperature impact toughness of high-strength bolts after elevated temperatures.” J. Build. Eng. 57 (Oct): 104851. https://doi.org/10.1016/j.jobe.2022.104851.
Gardner, L., and X. Yun. 2018. “Description of stress-strain curves for cold-formed steels.” Constr. Build. Mater. 189 (Nov): 527–538. https://doi.org/10.1016/j.conbuildmat.2018.08.195.
Hanus, F., G. Zilli, and J.-M. Franssen. 2011. “Behaviour of grade 8.8 bolts under natural fire conditions—Tests and model.” J. Constr. Steel Res. 67 (8): 1292–1298. https://doi.org/10.1016/j.jcsr.2011.03.012.
Hirashima, T., and H. Uesugi. 2004. “Experimental study on shear strength of friction-type high tension bolted joints at elevated temperature.” In Proc., 6th Asia-Oceania Symp. on Fire Science and Technology. London: International Association for Fire Safety Science.
Hu, Y. 2009. “Robustness of flexible endplate connections under fire conditions.” Ph.D. thesis, Dept. of Civil and Structural Engineering, Univ. of Sheffield.
Huang, Y., and B. Young. 2014. “The art of coupon tests.” J. Constr. Steel Res. 96 (May): 159–175. https://doi.org/10.1016/j.jcsr.2014.01.010.
ISO. 2005. Plastics—Determination of tensile properties—Part 1: General principles. ISO 527-1. Geneva: ISO.
ISO. 2009. Mechanical properties of fasteners made of carbon steel and alloy steel–Part 1: Bolts, screws and studs with specified property classes - coarse thread and fine pitch thread. ISO 898-1. Geneva: ISO.
ISO. 2011a. Hexagon head bolts–Product grades a and b. ISO 4014. Geneva: ISO.
ISO. 2011b. Metallic materials-tensile testing–Part 1: Method of test at room temperature. ISO 6892-1. Geneva: ISO.
ISO. 2011c. Metallic materials-tensile testing–Part 2: Method of test at elevated temperature. ISO 6892-2. Geneva: ISO.
Kirby, B. 1995. “The behaviour of high-strength grade 8.8 bolts in fire.” J. Constr. Steel Res. 33 (1–2): 3–38. https://doi.org/10.1016/0143-974X(94)00013-8.
Kodur, V., M. Dwaikat, and R. Fike. 2010. “High-temperature properties of steel for fire resistance modeling of structures.” J. Mater. Civ. Eng. 22 (5): 423–434. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000041.
Kodur, V., S. Kand, and W. Khaliq. 2012. “Effect of temperature on thermal and mechanical properties of steel bolts.” J. Mater. Civ. Eng. 24 (6): 765–774. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000445.
Kodur, V., P. Kumar, and M. M. Rafi. 2019. “Fire hazard in buildings: Review, assessment and strategies for improving fire safety.” PSU Res. Rev. 4 (1): 1–23. https://doi.org/10.1108/PRR-12-2018-0033.
Kodur, V., M. Yahyai, A. Rezaeian, M. Eslami, and A. Poormohamadi. 2017. “Residual mechanical properties of high strength steel bolts subjected to heating-cooling cycle.” J. Constr. Steel Res. 131 (Apr): 122–131. https://doi.org/10.1016/j.jcsr.2017.01.007.
Lange, J., and F. González. 2012. “Behavior of high-strength grade 10.9 bolts under fire conditions.” Struct. Eng. Int. 22 (4): 470–475. https://doi.org/10.2749/101686612X13363929517451.
Li, G.-Q., S.-C. Jiang, Y.-Z. Yin, K. Chen, and M.-F. Li. 2003. “Experimental studies on the properties of constructional steel at elevated temperatures.” J. Struct. Eng. 129 (12): 1717–1721. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:12(1717).
Lou, G.-B., S. Yu, R. Wang, and G.-Q. Li. 2012. “Mechanical properties of high-strength bolts after fire.” In Proc., Institution of Civil Engineers–Structures and Buildings, 373–383. London: Institution of Civil Engineers.
Ma, R., C. Cui, M. Ma, and A. Chen. 2019. “Performance-based design of bridge structures under vehicle-induced fire accidents: Basic framework and a case study.” Eng. Struct. 197 (Oct): 109390. https://doi.org/10.1016/j.engstruct.2019.109390.
Ma, R., C. Cui, M. Ma, and A. Chen. 2021. “Numerical simulation and simplified model of vehicle-induced bridge deck fire in the full-open environment considering wind effect.” Struct. Infrastruct. Eng. 17 (12): 1698–1709. https://doi.org/10.1080/15732479.2020.1832535.
NIST. 2016. Temperature-dependent material modeling for structural steels: Formulation and application. Gaithersburg, MD: NIST.
Okokpujie, I., C. Bolu, O. Ohunakin, E. Akinlabi, and D. Adelekan. 2019. “A review of recent application of machining techniques, based on the phenomena of CNC machining operations.” Procedia Manuf. 35 (Apr): 1054–1060. https://doi.org/10.1016/j.promfg.2019.06.056.
Pang, X.-P., Y. Hu, S.-L. Tang, Z. Xiang, G. Wu, T. Xu, and X.-Q. Wang. 2019. “Physical properties of high-strength bolt materials at elevated temperatures.” Results Phys. 13 (Jun): 102156. https://doi.org/10.1016/j.rinp.2019.102156.
Peixoto, R., M. Seif, and L. Vieira. 2017. “Double-shear tests of high-strength structural bolts at elevated temperatures.” Fire Saf. J. 94 (Dec): 8–21. https://doi.org/10.1016/j.firesaf.2017.09.003.
Ramberg, W., and W. R. Osgood. 1941. Determination of stress–strain curves by three parameters. New York: National Advisory Committee on Aeronautics.
Rasmussen, K. J. 2003. “Full-range stress–strain curves for stainless steel alloys.” J. Constr. Steel Res. 59 (1): 47–61. https://doi.org/10.1016/S0143-974X(02)00018-4.
Rezaeian, A., and S. Eghbali. 2021. “Fire response of steel column trees with end-plate connections.” J. Struct. Eng. 147 (10): 04021162. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003139.
Rezaeian, A., M. Shafiei, and M. Eskandari. 2020. “Effect of temperature on mechanical properties of steel bolts.” J. Mater. Civ. Eng. 32 (9): 04020239. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003314.
Rezaeian, A., and M. Yahyai. 2015. “Fire response of steel column-tree moment resisting frames.” Mater. Struct. 48 (Jun): 1771–1784. https://doi.org/10.1617/s11527-014-0271-1.
Saglik, H., A. Chen, and R. Ma. 2022. “Performance of bolted splice connection in I-girder composite bridges under tanker fire.” J. Constr. Steel Res. 199 (Apr): 107590. https://doi.org/10.1016/j.jcsr.2022.107590.
Saglik, H., A. Chen, and R. Ma. 2023. “Simulation of bolted connections under fire: Optimization and model validation.” J. Struct. Fire Eng. 14 (4): 481–500. https://doi.org/10.1108/JSFE-06-2022-0024.
Shaheen, M. A., A. S. Foster, L. S. Cunningham, and S. Afshan. 2020. “Behaviour of stainless and high strength steel bolt assemblies at elevated temperatures—A review.” Fire Saf. J. 113 (May): 102975. https://doi.org/10.1016/j.firesaf.2020.102975.
Shakil, S., W. Lu, and J. Puttonen. 2020. “Experimental studies on mechanical properties of s700 mc steel at elevated temperatures.” Fire Saf. J. 116 (Sep): 103157. https://doi.org/10.1016/j.firesaf.2020.103157.
Shrih, A., A. Rahman, and M. Mahamid. 2017. “Behavior of ASTM A325 bolts under simulated fire conditions: Experimental investigation.” J. Struct. Fire Eng. 8 (4): 377–391. https://doi.org/10.1108/JSFE-06-2016-0005.
Wang, X.-Q., Z. Tao, U. Katwal, and C. Hou. 2021. “Tensile stress-strain models for high strength steels.” J. Constr. Steel Res. 186 (Nov): 106879. https://doi.org/10.1016/j.jcsr.2021.106879.
Yahyai, M., V. Kodur, and A. Rezaeian. 2018. “Residual mechanical properties of high-strength steel bolts after exposure to elevated temperature.” J. Mater. Civ. Eng. 30 (10): 04018240. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002416.
Yahyai, M., A. Rezaeian, V. Kodur, M. Eslami, and A. Poormohamadi. 2016. “Post-fire mechanical properties of high strength grade 8.8 steel bolts.” In Proc., 9th Int. Conf. on Structures in Fire, 460–467. Harrisburg, PA: DEStech Publications.
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Published In
Journal of Structural Engineering
Volume 150 • Issue 6 • June 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Mar 28, 2023
Accepted: Jan 8, 2024
Published online: Mar 23, 2024
Published in print: Jun 1, 2024
Discussion open until: Aug 23, 2024
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