Strength and Deflection Reliability Estimation of Girder Steel Portal Frames Using the Bayesian Updating Method
Received: 14 August 2022 | Revised: 30 August 2022 | Accepted: 22 September 2022 | Online: 15 December 2022
Corresponding author: F. H. Fahmi
Uncertainty is ubiquitous in any engineering system at any stage of product development and throughout a product's life cycle. As information and sensor technology develops, more and more data about engineering systems are gathered. A strong technique for calibrating models using new information and observations is Bayesian updating. The applied loads, yield strength, plastic section modulus, span, cross-section dimensions, and modulus of elasticity from the international literature have been updated through the local literature and a data survey for the interior girder portal frames to investigate the reliability index and the probability of failure of the system. First Order Reliability Method (FORM) and Monte Carlo (MC) simulations have been used to estimate the reliability and probability of failure of strength and serviceability limit state function. The results reveal that for shear force, the reliability index increased significantly from 9.03 to 16.01. At the same time, the reliability index of the bending moment and deflection increased from 4.34 to 5.30 and from 6.90 to 7.66 respectively.
Keywords:Interior supporting frame, bayesian method, sample data, prior data, posterior data, FORM, MCs, reliability
D. V. Ngo, K. V. Pham, D. D. Le, K. H. Le, and K. V. Huynh, "Assessing Power System Stability Following Load Changes and Considering Uncertainty," Engineering, Technology & Applied Science Research, vol. 8, no. 2, pp. 2758–2763, Apr. 2018. DOI: https://doi.org/10.48084/etasr.1892
P. E. Hess, D. Bruchman, I. A. Assakkaf, and B. M. Ayyub, "Uncertainties in Material and Geometric Strength and Load Variables," Naval Engineers Journal, vol. 114, no. 2, pp. 139–166, 2002. DOI: https://doi.org/10.1111/j.1559-3584.2002.tb00128.x
D. Straub and I. Papaioannou, "Bayesian Updating with Structural Reliability Methods," Journal of Engineering Mechanics, vol. 141, no. 3, Mar. 2015, Art. no. 04014134. DOI: https://doi.org/10.1061/(ASCE)EM.1943-7889.0000839
A. H.-S. Ang and W. H. Tang, Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering, 2e Instructor Site: Emphasis on Applications to Civil and Environmental Engineering, 2nd ed. New York, NY, USA: Wiley, 2006.
A. Belay, E. OBrien, and D. Kroese, "Truck fleet model for design and assessment of flexible pavements," Journal of Sound and Vibration, vol. 311, no. 3, pp. 1161–1174, Apr. 2008. DOI: https://doi.org/10.1016/j.jsv.2007.10.019
A. Mansour, H. Jan, C. Zigelman, Y. N. Jen, and S. J. Harding, "Implementation of Reliability Methods to Marine Structures," Transactions of the Society of Naval Architects and Marine Engineers, vol. 92, pp. 353–382, 1984.
A. U. Ebenuwa and K. F. Tee, "Reliability estimation of buried steel pipes subjected to seismic effect," Transportation Geotechnics, vol. 20, Sep. 2019, Art. no. 100242. DOI: https://doi.org/10.1016/j.trgeo.2019.100242
A. Nowak and K. Collins, Reliability of Structures. New York, NY, USA: McGraw-Hill, 2000.
D. Mohammed and S. Al-Zaidee, "Deflection Reliability Analysis for Composite Steel Bridges," Engineering, Technology & Applied Science Research, vol. 12, no. 5, pp. 9155–9159, Oct. 2022. DOI: https://doi.org/10.48084/etasr.5146
S. S. Kar and L. B. Roy, "Probabilistic Based Reliability Slope Stability Analysis Using FOSM, FORM, and MCS," Engineering, Technology & Applied Science Research, vol. 12, no. 2, pp. 8236–8240, Apr. 2022. DOI: https://doi.org/10.48084/etasr.4689
N. L. Tran and T. H. Nguyen, "Reliability Assessment of Steel Plane Frame’s Buckling Strength Considering Semi-rigid Connections," Engineering, Technology & Applied Science Research, vol. 10, no. 1, pp. 5099–5103, Feb. 2020. DOI: https://doi.org/10.48084/etasr.3231
M. S. Darmawan, A. N. Refani, M. Irmawan, R. Bayuaji, and R. B. Anugraha, "Time Dependent Reliability Analysis of Steel I Bridge Girder Designed Based on SNI T-02-2005 and SNI T-3-2005 Subjected to Corrosion," Procedia Engineering, vol. 54, pp. 270–285, Jan. 2013. DOI: https://doi.org/10.1016/j.proeng.2013.03.025
S. G. Buonopane and B. W. Schafer, "Reliability of Steel Frames Designed with Advanced Analysis," Journal of Structural Engineering, vol. 132, no. 2, pp. 267–276, Feb. 2006. DOI: https://doi.org/10.1061/(ASCE)0733-9445(2006)132:2(267)
A. Ghabussi, J. Asgari Marnani, and M. S. Rohanimanesh, "Improving seismic performance of portal frame structures with steel curved dampers," Structures, vol. 24, pp. 27–40, Apr. 2020. DOI: https://doi.org/10.1016/j.istruc.2019.12.025
P. Geyskens, A. D. Kiureghian, and P. Monteiro, "Bayesian Prediction of Elastic Modulus of Concrete," Journal of Structural Engineering, vol. 124, no. 1, pp. 89–95, Jan. 1998. DOI: https://doi.org/10.1061/(ASCE)0733-9445(1998)124:1(89)
H. Q. Jebur and S. R. Al-Zaidee, "Non-deterministic Approach for Reliability Evaluation of Steel Portal Frame," Civil Engineering Journal, vol. 5, no. 8, pp. 1684–1697, Aug. 2019. DOI: https://doi.org/10.28991/cej-2019-03091363
K. Atua, I. Assakkaf, and B. M. Ayyub, "Statistical characteristics of strength and load random variables of ship structures," in Probabilistic Mechanics and Structural Reliability, Proceeding of the Seventh Specialty Conference, Worcester, MA, USA, 1996.
H. Zhang, H. Liu, B. R. Ellingwood, and K. J. R. Rasmussen, "System Reliabilities of Planar Gravity Steel Frames Designed by the Inelastic Method in AISC 360-10," Journal of Structural Engineering, vol. 144, no. 3, Mar. 2018, Art. no. 04018011. DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0001991
ACI Committee 318, Building Code Requirements for Structural Concrete: (ACI 318-19); and Commentary (ACI 318R-19). Farmington Hills, MI, USA: American Concrete Institute, 2019.
Indian standard, Tolerances for fabrication of Steel Structures. New Delhi, India: Bureau of Indian Standards, 1974.
How to Cite
MetricsAbstract Views: 346
PDF Downloads: 305
Copyright (c) 2022 F. H. Fahmi, S. Al-Zaidee
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.