Maximum displacement analysis of concrete beams with vertical cracks reinforced by cable elements

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Abstract

This work conducts a thorough examination of the maximum displacement characteristics of concrete beams with vertical cracks reinforced with cable elements, using finite-difference analysis and ensemble machine learning methodologies. The structural performance of cracked beams under diverse loading conditions is assessed numerically using in Fasthe Fast Lagrangian Analysis of Continua (F), enabling comprehensive simulation of stress redistribution and the interaction between the concrete matrix and embedded cable reinforcements. The numerical outcomes from simulations offer a dependable dataset for training and validating machine learning models for predictive analysis. 

In this context, extreme gradient boosting is used for its efficacy in managing nonlinear connections and intricate feature interactions. Single and hybrid ensemble-tuned models are constructed to predict the maximum displacement of reinforced cracked beams using input data like cable area, grout cohesiveness, length of beam, width of beam, height of beam, cable separation from cover, number of cables, and cable spacing. The model’s performance is assessed using several statistical indicators. The hybrid model, refined by metaheuristic algorithms, has enhanced predictive performance relative to the standalone model, attaining more accuracy and generalization on novel data. 

Additionally, partial dependence plots are used to elucidate model predictions and assess the impact of each input parameter on maximum displacement. The indicates that global geometric factors, especially beam height, predominantly influence displacement behavior regarding flexural stiffness, whereas crack-related parameters mainly affect local stress transfer in the post-cracked phase. The results emphasize the essential influence of crack attributes and reinforcing arrangement on displacement results. This research presents an integrated framework that serves as a dependable and efficient tool for assessing the structural response of cracked concrete beams reinforced with cable components, potentially informing design enhancements and reinforcement strategies in practical engineering contexts.

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