Novel Optimum Design and Sensitivity Assessment for Concrete Beams Using FRP Bars | ||
| Interdisciplinary Journal of Civil Engineering | ||
| دوره 1، شماره 4، دی 2025، صفحه 412-427 اصل مقاله (576.44 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.48308/ijce.2026.243665.1022 | ||
| نویسندگان | ||
| Nima Mohammadi* 1؛ Amir Saedi Daryan2 | ||
| 1Graduate School of Engineering, Kobe University, Japan | ||
| 2Faculty of Civil, Water and Environmental Engineering, Shahid Beheshti University, Tehran, Iran | ||
| چکیده | ||
| Optimization of structural elements is one of the most important topics in structural engineering, with a wide range of applications, including concrete beams reinforced with fiber-reinforced polymer (FRP) bars. The increasing use of FRP reinforcement, owing to its corrosion resistance and high strength-to-weight ratio, has created a need for efficient and economical design approaches. Therefore, the objective of this paper is to employ the Lagrangian Multiplier Method (LMM) to obtain a minimum-cost design of singly reinforced concrete beams with rectangular cross-sections. In this study, the costs of concrete and FRP materials are formulated as objective cost functions to be minimized, while the ultimate flexural strength of the beam is considered the primary design constraint. The optimization problem is solved analytically, and optimum designs are derived in closed-form solutions using the LMM framework. The applicability of the proposed formulation is demonstrated through a real-life design example of a singly reinforced concrete beam, showing that the minimum-cost design can be effectively achieved while satisfying structural performance requirements. The derived design relations and optimization curves provide a practical and efficient tool for engineers seeking economical and reliable FRP-reinforced concrete beam designs. | ||
| کلیدواژهها | ||
| Composite Reinforced Concrete Beam؛ Optimization؛ FRP Bar؛ Lagrangian Multiplier Method؛ ACI | ||
| مراجع | ||
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