Fibonacci sequence and golden ratio in new formula of predicting cracks propagation in reinforced concrete tie
Source abstract
Abstract
This paper is concerned of the Fibonacci sequence and the golden ratio in the possibility of predicting the crack propagation of concrete structures subjected to pure tension where it interrelated the effect of the change of dimensions of the reinforced concrete element in the Fibonacci sequence to the ratio of cracks transfer lengths and cracks spacing, which appeared in the golden ratio form. A governing differential equation was solved numerically and verified using previous theoretical and experimental researches. Also experimental researches were used to ensure the appearance of golden ratio effect on the cracks behavior.
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Research context
OpenAlex topics: Structural Behavior of Reinforced Concrete · Innovative concrete reinforcement materials · Structural Response to Dynamic Loads
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Affiliations
Faculty of Engineering, Matria, Helwan University, Cairo, Egypt
References (10)
Show source-provided references
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