An analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse

By reviewing previous studies in the field of roof’s collapse, an efficient analytical method is required to simulate the impact mechanism and failure procedure. Hence, the purpose of present study is mainly to analyze the beams' impact. Consequently, upper and lower beams are considered to sur...

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Autores principales: Ghasem Gorji Bandpey, Gholamreza Abdollahzadeh Darzi, Ali Rahmani Firozjaee
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Publicado: Iranian Society of Structrual Engineering (ISSE) 2021
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spelling oai:doaj.org-article:a5c8ac0b7b894bfd80eca31934e16fbe2021-11-08T15:54:19ZAn analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse2476-39772538-261610.22065/jsce.2019.159652.1727https://doaj.org/article/a5c8ac0b7b894bfd80eca31934e16fbe2021-03-01T00:00:00Zhttps://www.jsce.ir/article_85101_f3068b6775614110ca9fd4127fba0984.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616By reviewing previous studies in the field of roof’s collapse, an efficient analytical method is required to simulate the impact mechanism and failure procedure. Hence, the purpose of present study is mainly to analyze the beams' impact. Consequently, upper and lower beams are considered to survey the collision effects of upper beam’s equivalent concentrated mass to the lower beam’s midspan in a way that an initial impact caused by mass is taken into account. At first, the maximum bending moment at the midspan is calculated by assuming linear behavior and employing the relations which involves the kinetic energy of concentrated mass and potential energy of the lower beam. Then, studying a conventional steel frame demonstrates that the bending moment is about eight times greater than the bending moment capacity of lower beam, therefore it would lead to formation of a plastic hinge at the midspan. In continue, the mentioned relations are solved by using the equations of motion including inertial effect. The results are used to calculate velocity in different sections of lower beam. Subsequently, the equilibrium equation is employed in the middle of lower beam and a virtual hinge at an arbitrary section which is tending in a wave form to supports is considered. Due to mentioned assumptions by investigating hinge formation behavior, the time of hinge tendency to the supports is calculated. Additionally, displacement values along the lower beam are obtained. Finally, the diagrams and tables are represented by using the obtained equations and compared with the lower beam's displacement capacity. The results demonstrate that the lower beams will collapse due to the collision of concentrated mass of upper beam and progressive collapse occurs in lower stories. Finally, for more accuracy of present study, the effect of secondary impact of upper beam on the lower beam is considered.Ghasem Gorji BandpeyGholamreza Abdollahzadeh DarziAli Rahmani FirozjaeeIranian Society of Structrual Engineering (ISSE)articlesteel structurebeams’ impactconcentrated masskinetic and potential energyplastic hingecapacity displacement diagramsecondary impactprogressive collapseBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 8, Iss 1, Pp 173-192 (2021)
institution DOAJ
collection DOAJ
language FA
topic steel structure
beams’ impact
concentrated mass
kinetic and potential energy
plastic hinge
capacity displacement diagram
secondary impact
progressive collapse
Bridge engineering
TG1-470
Building construction
TH1-9745
spellingShingle steel structure
beams’ impact
concentrated mass
kinetic and potential energy
plastic hinge
capacity displacement diagram
secondary impact
progressive collapse
Bridge engineering
TG1-470
Building construction
TH1-9745
Ghasem Gorji Bandpey
Gholamreza Abdollahzadeh Darzi
Ali Rahmani Firozjaee
An analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse
description By reviewing previous studies in the field of roof’s collapse, an efficient analytical method is required to simulate the impact mechanism and failure procedure. Hence, the purpose of present study is mainly to analyze the beams' impact. Consequently, upper and lower beams are considered to survey the collision effects of upper beam’s equivalent concentrated mass to the lower beam’s midspan in a way that an initial impact caused by mass is taken into account. At first, the maximum bending moment at the midspan is calculated by assuming linear behavior and employing the relations which involves the kinetic energy of concentrated mass and potential energy of the lower beam. Then, studying a conventional steel frame demonstrates that the bending moment is about eight times greater than the bending moment capacity of lower beam, therefore it would lead to formation of a plastic hinge at the midspan. In continue, the mentioned relations are solved by using the equations of motion including inertial effect. The results are used to calculate velocity in different sections of lower beam. Subsequently, the equilibrium equation is employed in the middle of lower beam and a virtual hinge at an arbitrary section which is tending in a wave form to supports is considered. Due to mentioned assumptions by investigating hinge formation behavior, the time of hinge tendency to the supports is calculated. Additionally, displacement values along the lower beam are obtained. Finally, the diagrams and tables are represented by using the obtained equations and compared with the lower beam's displacement capacity. The results demonstrate that the lower beams will collapse due to the collision of concentrated mass of upper beam and progressive collapse occurs in lower stories. Finally, for more accuracy of present study, the effect of secondary impact of upper beam on the lower beam is considered.
format article
author Ghasem Gorji Bandpey
Gholamreza Abdollahzadeh Darzi
Ali Rahmani Firozjaee
author_facet Ghasem Gorji Bandpey
Gholamreza Abdollahzadeh Darzi
Ali Rahmani Firozjaee
author_sort Ghasem Gorji Bandpey
title An analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse
title_short An analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse
title_full An analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse
title_fullStr An analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse
title_full_unstemmed An analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse
title_sort analytical study on the effect of beams' impact on the stories of structure with attitude towards progressive collapse
publisher Iranian Society of Structrual Engineering (ISSE)
publishDate 2021
url https://doaj.org/article/a5c8ac0b7b894bfd80eca31934e16fbe
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