Analytical Model for the Prediction of Instantaneous and Long-Term Behavior of RC Beams under Static Sustained Service Loads

IF 12.2 1区 工程技术 Q1 MECHANICS Applied Mechanics Reviews Pub Date : 2023-01-09 DOI:10.3390/applmech4010003
Bassel Bakleh, Hala Hasan, George Wardeh
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Abstract

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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静力持续使用荷载作用下RC梁瞬时和长期性能预测的解析模型
大量的钢筋混凝土结构正接近其使用寿命,由于维护不足,它们受到严重的逐步老化过程的影响。对钢筋混凝土、钢筋混凝土结构在使用荷载作用下的所有损伤现象的基本理解是迈向更可持续结构的关键一步。本文旨在研究钢筋混凝土梁在开裂状态下的蠕变问题。为了实现这一目标,建立了基于伯努利理论和RC梁整体平衡的解析模型。针对材料模型的非线性,提出了一种求解非线性平衡方程的Newton-Raphson算法。提出的模型可以预测在任何荷载水平下的瞬时和长期行为,直到钢屈服,它考虑了徐变对混凝土在拉和压下的行为的影响。除了挠度随时间的演变外,该模型还能够跟踪任意持续使用荷载作用下压缩区的高度以及裂缝的高度和宽度的演变。对长期荷载梁的分析结果与实验结果进行了比较,结果吻合较好。
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来源期刊
CiteScore
28.20
自引率
0.70%
发文量
13
审稿时长
>12 weeks
期刊介绍: Applied Mechanics Reviews (AMR) is an international review journal that serves as a premier venue for dissemination of material across all subdisciplines of applied mechanics and engineering science, including fluid and solid mechanics, heat transfer, dynamics and vibration, and applications.AMR provides an archival repository for state-of-the-art and retrospective survey articles and reviews of research areas and curricular developments. The journal invites commentary on research and education policy in different countries. The journal also invites original tutorial and educational material in applied mechanics targeting non-specialist audiences, including undergraduate and K-12 students.
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