Calculation of Safety Factors of the Eurocodes

This study concerns the safety factor and the reliability calculation for structural codes. The Eurocodes are used as a reference. Safety factor calculation is a demanding task which necessitates using an appropriate root-solving algorithm with a sufficient numerical accuracy. This article introduce...

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Main Authors: Tuomo Poutanen, Tim Länsivaara, Sampsa Pursiainen, Jari Mäkinen, Olli Asp
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/1/208
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author Tuomo Poutanen
Tim Länsivaara
Sampsa Pursiainen
Jari Mäkinen
Olli Asp
author_facet Tuomo Poutanen
Tim Länsivaara
Sampsa Pursiainen
Jari Mäkinen
Olli Asp
author_sort Tuomo Poutanen
collection DOAJ
description This study concerns the safety factor and the reliability calculation for structural codes. The Eurocodes are used as a reference. Safety factor calculation is a demanding task which necessitates using an appropriate root-solving algorithm with a sufficient numerical accuracy. This article introduces a simple algorithm to calculate the safety factors directly, as previously there has been no means to control the accuracy. Presently, the safety factors are defined indirectly through the reliability index. The basic safety factor calculation is presented here in six different equations with the same outcome but differences regarding the numerical calculation, which provides a method to check the accuracy and select a proper equation for the root solver. The safety factor calculation for the permanent and the variable load in the Eurocodes is based on the independent, i.e., random, load combination and single load pairs. The current approach of safety factor calculation applied in the Eurocodes is disclosed here. Simple analytical equations based on the convolution equation are presented. Those can be used instead of the computer programs applied currently.
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spelling doaj.art-1bdb5970bf8140b7852572b0090e683c2023-11-21T02:50:34ZengMDPI AGApplied Sciences2076-34172020-12-0111120810.3390/app11010208Calculation of Safety Factors of the EurocodesTuomo Poutanen0Tim Länsivaara1Sampsa Pursiainen2Jari Mäkinen3Olli Asp4Faculty of Built Environment, Tampere University, P.O. Box 600, FI-33014 Tampere, FinlandFaculty of Built Environment, Tampere University, P.O. Box 600, FI-33014 Tampere, FinlandComputing Sciences, Faculty of Information Technology and Communication Sciences, Tampere University, P.O. Box 692, FI-33014 Tampere, FinlandFaculty of Built Environment, Tampere University, P.O. Box 600, FI-33014 Tampere, FinlandFaculty of Built Environment, Tampere University, P.O. Box 600, FI-33014 Tampere, FinlandThis study concerns the safety factor and the reliability calculation for structural codes. The Eurocodes are used as a reference. Safety factor calculation is a demanding task which necessitates using an appropriate root-solving algorithm with a sufficient numerical accuracy. This article introduces a simple algorithm to calculate the safety factors directly, as previously there has been no means to control the accuracy. Presently, the safety factors are defined indirectly through the reliability index. The basic safety factor calculation is presented here in six different equations with the same outcome but differences regarding the numerical calculation, which provides a method to check the accuracy and select a proper equation for the root solver. The safety factor calculation for the permanent and the variable load in the Eurocodes is based on the independent, i.e., random, load combination and single load pairs. The current approach of safety factor calculation applied in the Eurocodes is disclosed here. Simple analytical equations based on the convolution equation are presented. Those can be used instead of the computer programs applied currently.https://www.mdpi.com/2076-3417/11/1/208safety factorreliabilityindependent load combinationstructural code
spellingShingle Tuomo Poutanen
Tim Länsivaara
Sampsa Pursiainen
Jari Mäkinen
Olli Asp
Calculation of Safety Factors of the Eurocodes
Applied Sciences
safety factor
reliability
independent load combination
structural code
title Calculation of Safety Factors of the Eurocodes
title_full Calculation of Safety Factors of the Eurocodes
title_fullStr Calculation of Safety Factors of the Eurocodes
title_full_unstemmed Calculation of Safety Factors of the Eurocodes
title_short Calculation of Safety Factors of the Eurocodes
title_sort calculation of safety factors of the eurocodes
topic safety factor
reliability
independent load combination
structural code
url https://www.mdpi.com/2076-3417/11/1/208
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AT timlansivaara calculationofsafetyfactorsoftheeurocodes
AT sampsapursiainen calculationofsafetyfactorsoftheeurocodes
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AT olliasp calculationofsafetyfactorsoftheeurocodes