Strut and tie modeling of reinforced concrete structures with dual-system optimization

Date

2025-2

Author

Işıklı, Yunus

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Strut-and-tie modeling (STM) is widely recognized as a practical design method employed for reinforced concrete structural elements. The first step in conducting reinforcement designs lies in the establishment of the strut-and-tie geometry. Numerous studies have investigated the topology optimization of STMs, utilizing either continuum models or lattice networks. In this study, a novel dual modeling approach is proposed, combining two models, namely the continuum model (specifically, a finite element model) and the lattice network (comprising overlapping truss elements). The first phase of the proposed approach involves the application of an element removal algorithm based on internal forces and stresses, implemented for both lattice and continuum systems. Subsequently, by exploiting the external energy equivalency exhibited by the two systems, modifications are made to the elasticity moduli of the lattice network. More precisely, for each finite element present in the continuum model, the elasticity modulus is updated utilizing the average elasticity moduli of the truss elements located within the same region. In a similar manner, for each truss element in the lattice network model, the elasticity modulus is adjusted based on the average elasticity moduli of the truss elements in the corresponding region. This iterative process continues until total internal energy change between consequent iterations is less than a threshold value. To evaluate the accuracy and efficacy of the proposed approach, a comprehensive demonstration is conducted employing the 20 most extensively studied design examples documented in the literature. Additionally, validation studies are performed through nonlinear finite element analyses to verify the adequacy of the calculated reinforcements. These analyses serve as further evidence of the approach's robustness and suitability for practical application within the field of civil engineering. The study demonstrates that strut-and-tie modeling provides efficient and economical results. This enables engineers to create safer and more cost-effective structural designs. The developed method is notable for its flexibility and accuracy, making it applicable to a wide range of structural elements.

Subject Keywords

Topology optimization, Reinforced concrete, Strut and tie modeling

URI

https://hdl.handle.net/11511/113997

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Graduate School of Natural and Applied Sciences, Thesis