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Ultimate Limit State Reliability-Based Optimization of MSE Wall Considering External Stability

Zafar Mahmood / Mohsin Usman Qureshi / Zubair Ahmed Memon / Qadir Bux alias Imran Latif

We present reliability-based optimization (RBO) of the Mechanically Stability Earth (MSE) walls, using constrained optimization, considering the external stability, under ultimate limit state conditions of sliding, eccentricity, and bearing capacity. The design is optimized for a target reliability index of 3 that corresponds to an approximate failure probability of 1 in 1000. Reliability index is calculated by the first-order reliability method (FORM). The MSE wall, founded on cohesionless soil, with horizontal backfill and uniform live traffic surcharge, is studied. The RBO results are reported for the height of MSE wall ranging from 1.5 m to 20 m. For target reliability index of 3, the optimized length to height ratio, $L_{o p t} / H$ , of the MSE wall is greater than 0.7 (the minimum length to height ratio requirement of AASHTO) for $H \leq 4.5$ m, and then it decreases below the minimum required value of 0.7 for $H > 4.5$ m. The RBO approach presented in this study will help practitioners to achieve cost-effectiveness in design.

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Ultimate Limit State Reliability-Based Optimization of MSE Wall Considering External Stability

Zafar Mahmood / Mohsin Usman Qureshi / Zubair Ahmed Memon / Qadir Bux alias Imran Latif

We present reliability-based optimization (RBO) of the Mechanically Stability Earth (MSE) walls, using constrained optimization, considering the external stability, under ultimate limit state conditions of sliding, eccentricity, and bearing capacity. The design is optimized for a target reliability index of 3 that corresponds to an approximate failure probability of 1 in 1000. Reliability index is calculated by the first-order reliability method (FORM). The MSE wall, founded on cohesionless soil, with horizontal backfill and uniform live traffic surcharge, is studied. The RBO results are reported for the height of MSE wall ranging from 1.5 m to 20 m. For target reliability index of 3, the optimized length to height ratio, $L_{o p t} / H$ , of the MSE wall is greater than 0.7 (the minimum length to height ratio requirement of AASHTO) for $H \leq 4.5$ m, and then it decreases below the minimum required value of 0.7 for $H > 4.5$ m. The RBO approach presented in this study will help practitioners to achieve cost-effectiveness in design.

Ultimate Limit State Reliability-Based Optimization of MSE Wall Considering External Stability

Zafar Mahmood / Mohsin Usman Qureshi / Zubair Ahmed Memon / Qadir Bux alias Imran Latif

We present reliability-based optimization (RBO) of the Mechanically Stability Earth (MSE) walls, using constrained optimization, considering the external stability, under ultimate limit state conditions of sliding, eccentricity, and bearing capacity. The design is optimized for a target reliability index of 3 that corresponds to an approximate failure probability of 1 in 1000. Reliability index is calculated by the first-order reliability method (FORM). The MSE wall, founded on cohesionless soil, with horizontal backfill and uniform live traffic surcharge, is studied. The RBO results are reported for the height of MSE wall ranging from 1.5 m to 20 m. For target reliability index of 3, the optimized length to height ratio, $L_{o p t} / H$ , of the MSE wall is greater than 0.7 (the minimum length to height ratio requirement of AASHTO) for $H \leq 4.5$ m, and then it decreases below the minimum required value of 0.7 for $H > 4.5$ m. The RBO approach presented in this study will help practitioners to achieve cost-effectiveness in design.

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Title:

Ultimate Limit State Reliability-Based Optimization of MSE Wall Considering External Stability

Contributors:

Zafar Mahmood (author) / Mohsin Usman Qureshi (author) / Zubair Ahmed Memon (author) / Qadir Bux alias Imran Latif (author)

Published in:

Sustainability, Vol 14, Iss 9, p 4968 (2022)

Publication date:

2022

ISSN:

DOI:

https://doi.org/10.3390/su14094968

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

Keywords:

MSE wall , external stability , constrained optimization , reliability-based optimization , first-order reliability method , Environmental effects of industries and plants , TD194-195 , Renewable energy sources , TJ807-830 , Environmental sciences , GE1-350

Metadata by DOAJ is licensed under CC BY-SA 1.0

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