A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel Structures

Three algorithms of first-order reliability method (FORM) using steepest descent search direction are compared to evaluate the reliability index of structural steel problems which are designed by the Iranian National Building code. The FORM formula is modified based on a dynamic step size which is c...

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Main Authors: Hamed Makhduomi, Behrooz Keshtegar, Mehdi Shahraki
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2017/8643801
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author Hamed Makhduomi
Behrooz Keshtegar
Mehdi Shahraki
author_facet Hamed Makhduomi
Behrooz Keshtegar
Mehdi Shahraki
author_sort Hamed Makhduomi
collection DOAJ
description Three algorithms of first-order reliability method (FORM) using steepest descent search direction are compared to evaluate the reliability index of structural steel problems which are designed by the Iranian National Building code. The FORM formula is modified based on a dynamic step size which is computed based on the merit functions named modified Hasofer-Lind and Rackwitz-Fiessler (MHL-RF) method. The efficiency of the gradient, HL-RF, and MHL-RF method was compared for a bar structure under tensile capacity, a multispan beam under bending capacity, a connection under tension load, and a column under axial force. The results illustrated that the MHL-RF method is more efficient than the HL-RF and gradient method. The designed steel components by the Iranian National Building code showed good confidence levels with the reliability index in the range from 2.5 to 3.0.
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spelling doaj-art-c0779e81163b41fa9764a366c83401552025-02-03T06:00:47ZengWileyAdvances in Civil Engineering1687-80861687-80942017-01-01201710.1155/2017/86438018643801A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel StructuresHamed Makhduomi0Behrooz Keshtegar1Mehdi Shahraki2Department of Civil Engineering, Saravan Branch, Islamic Azad University, Saravan, IranDepartment of Civil Engineering, University of Zabol, Zabol, IranDepartment of Civil Engineering, Zahedan Branch, Islamic Azad University, Zahedan, IranThree algorithms of first-order reliability method (FORM) using steepest descent search direction are compared to evaluate the reliability index of structural steel problems which are designed by the Iranian National Building code. The FORM formula is modified based on a dynamic step size which is computed based on the merit functions named modified Hasofer-Lind and Rackwitz-Fiessler (MHL-RF) method. The efficiency of the gradient, HL-RF, and MHL-RF method was compared for a bar structure under tensile capacity, a multispan beam under bending capacity, a connection under tension load, and a column under axial force. The results illustrated that the MHL-RF method is more efficient than the HL-RF and gradient method. The designed steel components by the Iranian National Building code showed good confidence levels with the reliability index in the range from 2.5 to 3.0.http://dx.doi.org/10.1155/2017/8643801
spellingShingle Hamed Makhduomi
Behrooz Keshtegar
Mehdi Shahraki
A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel Structures
Advances in Civil Engineering
title A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel Structures
title_full A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel Structures
title_fullStr A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel Structures
title_full_unstemmed A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel Structures
title_short A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel Structures
title_sort comparative study of first order reliability method based steepest descent search directions for reliability analysis of steel structures
url http://dx.doi.org/10.1155/2017/8643801
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