Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service Loads
A great number of reinforced concrete structures are approaching the end of their service life and they are strongly affected by progressive deterioration processes due to insufficient maintenance. A fundamental understanding of all damage phenomena acting together on reinforced concrete, RC, struct...
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Format: | Article |
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MDPI AG
2023-01-01
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Series: | Applied Mechanics |
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Online Access: | https://www.mdpi.com/2673-3161/4/1/3 |
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author | Bassel Bakleh Hala Hasan George Wardeh |
author_facet | Bassel Bakleh Hala Hasan George Wardeh |
author_sort | Bassel Bakleh |
collection | DOAJ |
description | A great number of reinforced concrete structures are approaching the end of their service life and they are strongly affected by progressive deterioration processes due to insufficient maintenance. A fundamental understanding of all damage phenomena acting together on reinforced concrete, RC, structures under service loads is a crucial step toward more sustainable structures. The present work aims to study the creep of RC beams in the cracked state. To achieve this objective, an analytical model was developed based on Bernoulli’s theory and the global equilibrium of the RC beam. A Newton–Raphson algorithm was also proposed to solve the non-linear equilibrium equations related to the non-linearity in the adopted materials models. The proposed model allows predicting the instantaneous and long-term behavior under any loading level up to the steel yielding, and it takes into consideration the effect of creep on the behavior of concrete both in tension and compression. In addition to the evolution of the deflection with time, the model is also able to follow the height of the compression zone as well as the evolution of crack’s height and width under any sustained service load. The comparison between analytical and experimental results found in the literature for long-term loaded beams showed a good agreement. |
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language | English |
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spelling | doaj.art-4cd6b86b64ee44e38e63ee19ed23d80e2023-11-17T09:20:11ZengMDPI AGApplied Mechanics2673-31612023-01-0141314310.3390/applmech4010003Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service LoadsBassel Bakleh0Hala Hasan1George Wardeh2Higher Institute of Earthquake Studies and Research (HIESR), Damascus University, Damascus P.O. Box 30621, SyriaHigher Institute of Earthquake Studies and Research (HIESR), Damascus University, Damascus P.O. Box 30621, SyriaL2MGC, CY Cergy-Paris University, 95031 Neuville-sur-Oise, FranceA great number of reinforced concrete structures are approaching the end of their service life and they are strongly affected by progressive deterioration processes due to insufficient maintenance. A fundamental understanding of all damage phenomena acting together on reinforced concrete, RC, structures under service loads is a crucial step toward more sustainable structures. The present work aims to study the creep of RC beams in the cracked state. To achieve this objective, an analytical model was developed based on Bernoulli’s theory and the global equilibrium of the RC beam. A Newton–Raphson algorithm was also proposed to solve the non-linear equilibrium equations related to the non-linearity in the adopted materials models. The proposed model allows predicting the instantaneous and long-term behavior under any loading level up to the steel yielding, and it takes into consideration the effect of creep on the behavior of concrete both in tension and compression. In addition to the evolution of the deflection with time, the model is also able to follow the height of the compression zone as well as the evolution of crack’s height and width under any sustained service load. The comparison between analytical and experimental results found in the literature for long-term loaded beams showed a good agreement.https://www.mdpi.com/2673-3161/4/1/3reinforced concretebeamscreepanalytical modelingserviceability |
spellingShingle | Bassel Bakleh Hala Hasan George Wardeh Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service Loads Applied Mechanics reinforced concrete beams creep analytical modeling serviceability |
title | Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service Loads |
title_full | Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service Loads |
title_fullStr | Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service Loads |
title_full_unstemmed | Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service Loads |
title_short | Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service Loads |
title_sort | analytical model for the prediction of instantaneous and long term behavior of rc beams under static sustained service loads |
topic | reinforced concrete beams creep analytical modeling serviceability |
url | https://www.mdpi.com/2673-3161/4/1/3 |
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