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Journal : Civil Engineering Journal

Reliability Design of a New Masonry Bridge: An Approach Based on RBDO and Rigid Block Analysis Fadel, Mohamed T.; Rguig, Mustapha; ElAroussi, Mohamed; Saadane, Rachid
Civil Engineering Journal Vol. 12 No. 1 (2026): January
Publisher : Salehan Institute of Higher Education

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.28991/CEJ-2026-012-01-018

Abstract

The objective of this study is to establish a reliability-based design framework for new masonry arch bridges, providing a rational alternative to the empirical rules that traditionally governed their construction. The proposed methodology integrates Reliability-Based Design Optimization (RBDO) with the rigid block limit analysis method to optimize key geometric parameters under uncertain loading conditions. The probabilistic formulation incorporates the variability of geometric and load parameters, which are identified as the dominant sources of uncertainty during the design phase of new masonry bridges. Two RBDO strategies are employed: the Performance Measure Approach (PMA) and Sequential Optimization with Reliability Assessment (SORA), both coupled with a linear programming formulation of equilibrium and yield constraints. The approach is applied to the reconstruction of the historical Dar El Makina bridge in Fes, Morocco, to determine the optimal geometric configuration that satisfies target reliability requirements. The results indicate that the optimized design achieves a 27% reduction in arch thickness and a 13% increase in rise compared to the existing structure, leading to a safer and more material-efficient configuration. Compared with classical empirical formulas, the proposed approach provides a rational and quantitative basis for the design of masonry bridges, combining structural safety, material efficiency, and heritage preservation.
Co-Authors , Alimuddin . Hermawan . Sukenda . Suriansyah . Syafiuddin . Tarsim ., Mulyasari A M Tahya A S Mubarak A. Oman Sudrajat A. Shofy Mubarak A. Yunianti Aarab, Zineb Ade Sunarma Ade Sunarma Ade Sunarma, Ade Adharto Utiah Agus O . Sudradjat Agus Oman Sudrajat Aldilla Kusumawardhani, Aldilla Alimuddin Alimuddin . Alimuddin Alimuddin Alimuddin Alimuddin Alimuddin Alimuddin Alimuddin Alimuddin Alimuddin Alimuddin alimuddin alimuddin Alimuddin Alimuddin Alimuddin Alimuddin Angela Mariana Lusiastuti Angela Mariana Lusiastuti Angela Mariana Lusiastuti ANNA OCTAVERA Anouar Darif Aprelia Martina Tomasoa, Aprelia Martina Arroub, Omar Asep Sopian Avarre, Jean-Christophe Azis Azis Bambang Purwantara Benny Heltonika Bethsy J. Pattiasina Cahyono, Tatak Dwi D. Nurlestiyoningrum D.S. Sjafei Damiana Rita Ekastuti DEDI JUSADI Dian Hardiantho Dian Hardianto Didik Ariyanto Dinamella Wahjuningrum Dinar Tri Soelistyowati Dita Puji Laksana Dwi Hany Yanti E. Riani Eddy Supriyono ElAroussi, Mohamed Enang Harris Surawidjaja Etty Riani Fadel, Mohamed T. Fajar Basuki Fajar Maulana . Farizah, N Fauzan, Agung Luthfi Flandrianto S. Palimirmo GORO YOSHIZAKI H. Arfah Hamsah Hamsah Harton Arfah I Khasani I MADE ARTIKA I Wayan Nurjaya I. Herviani I. Mokoginta I. Supriatna Iis Diatin Ikhsan Khasani Imron Imron, Imron Irma Andriani IRMA ANDRIYANI Irvan Faizal Irzal Effendi Iskandar, Andri Ita Djuwita Jamaluddin Jompa Jasmanindar, Yudiana Jean-Christophe Avarre Julie Ekasari K Nisaa K. Sumantadinata Kadarusman . Khairun Nissa Khasani, I Komar Sumantadinata Kukuh Adiyana Kukuh Nirmala Kusman Sumawidjaja Laurent Pouyaud Livana Dethris Rawung Lolita Thesiana M Yamin M Yamin M. Bintang M. M. Raswin M. Raswin M. Sakdiah M. Syukur M. Toelihere M. Tri Djoko Sunarno M.M. Raswin Meilisza, Nina Mia Setiawati Mozes R . Toelihere MOZES R. TOELIHERE Mubarak, A S MUHAMMAD AGUS SUPRAYUDI Muhammad Muhammad Muhammad Safir Mulyasari . Mulyasari Mulyasari MUNTI YUHANA Muslim Muslim N Farizah N. Potalangi N.B.P Utomo Nababan, Yanti Inneke Nasrullah, Hasan Naufal, Muhammad Restya Neviaty P. Zamani Nisaa, K Nugraha, Media Fitri Isma Nunak Nafiqoh Nur Bambang Priyo Utomo Nurbariah Nurbariah O. Carman Odang Carman Odilia Rovara Poppy Dea Bertha, Poppy Dea Prassetyo Dwi Dhany Wijaya Purnamawati Purnamawati Purnamawati Purnamawati Putri Zulfania, Putri R. Affandi R.G. Pahlawan R.K. Sari R.R Sri Pudji R.R.S.P.S. Dewi Rahmani, My Driss Rahminiwati, Min Rakhmawati, Rakhmawati, Rguig, Mustapha RIDWAN AFFANDI Robin . Robin . Roza Elvyra S. Darwisito S. Dewi S. Handayani S. Mulyati S. Purwati Safira Qisthina Ayuningtyas, Safira Qisthina Siti Subaidah Sri Nuryati Sri Nuryati Srihadi Agungpriyono Suci Antoro Sugeng Budiharsono Sujaka Nugraha Sukenda . Sukenda Sukenda Sukenda Sukenda Sukenda Sukenda Syafyudin Yusuf T.L. Yusuf Tahya, A M Tarsim Tarsim TARUNI SRI PRAWAST MIEN KAOMINI ANY ARYANI DEDY DURYADI SOLIHIN Triayu Rahmadiah Tuty L . Yusuf W. Manalu Wahyu Pamungkas Wasmen Manalu WIDANARNI WIDANARNI Wisriati Lasima Wiyoto Wiyoto Wiyoto, W. Y. Hadiroseyani Y. Yustikasari Yogi Himawan Yudha Trinoegraha Adiputra Yusnarti Yus Zahri, Abdul