## 1 Introduction
In the study by [PERSON] [14], the best section design was achieved by only considering flexural design constraints, including limiting the maximum stress at the extreme fibers of the section, which, in turn, were included in the design criteria. Another change implemented in the solution was the determination of an optimal location of the variable tendon eccentricity along the beam's longitudinal section. In addition, tendon placement needs to be subject to certain design constraints concerning geometry and other design limitations; they ensure that the optimal placement of the tendon neither interferes with nor violates the original design integrity of the post-tensioned beam. In the work by [PERSON] et al. [15], a total of five large post-tensioned beams were tested to examine the flexural behavior of high-strength strands in relation to concrete compressive and strand tensile strengths. The results matched the code predictions, showing similar crack patterns and ductile behavior. Minimal excess in crack widths and stresses occurred under service loads, which can be controlled with a proper arrangement of deformed rebar. [PERSON] et al. [16] provided a method to predict the flexural behavior of post-tensioned ultra-high-performance concrete (UHPC) beams with unbonded tendons. The method uses a mechanics-based model to determine the ultimate strand stress based on a neutral axis depth, tendon properties, loading, and strains. Considering fiber tension and UHPC compression failure modes, predictions for 221 beams showed less than a 5% accuracy and a coefficient of variation of less than 17%. [PERSON] et al. [17] conducted a nonlinear analysis to develop two models to predict the behavior of partially prestressed concrete flexural members with unbonded strands. One model was implemented using FORTRAN, while the other utilized ABAQUS. The models were validated with data from 22 beams and slabs, which varied in terms of the concrete's strength, jacking stress, prestressing index, and span-to-depth ratio. Overall, the models accurately predicted the cracking loads, ultimate resistance, deflection, and strain, aligning well with the experimental data. [PERSON] et al. [18] investigated an efficient methodology for analyzing and designing prestressed concrete bridges using CSi Bridge version 20.2.0 advanced software. This software simplifies complex modeling by effectively handling dead loads, prestress forces, and live loads. The results demonstrate CSi Bridge's automation capabilities, the dominance of dead loads in flexural design, live loads in shear, and the crucial role of cable profile positioning for stability and efficient design. [PERSON] et al. [19] conducted an experimental study to investigate the flexural behavior of single and two-span continuous beams with highly eccentric tendons. The study focused on various variables, including tendon profiles, loading patterns, casting methods, and confinement reinforcements. The results showed similar flexural responses across the tendon layouts, increased ductility from confinement without raising the ultimate strength, and tendon layout and loading patterns affected moment redistribution. [PERSON] et al. [20] studied the flexural behavior of corrosion-damaged reinforced concrete slabs that were reinforced with carbon fiber-reinforced polymer (CFRP) using NSM and CFRP strips. The slabs experienced corrosion levels of 11%, 26%, and 40%. The CFRP strengthening not only restored the original capacities of the slab but also exceeded them, leading to a significant increase in yield strength. However, when the corrosion level reached 40%, the yield strength began to decline, resulting in a decrease in load capacity strengthening from 38% to 15%. [PERSON] et al. [21] studied the flexural behavior of prestressed ultra-high-performance concrete beams, a modern type of concrete that is gaining popularity due to its high compressive and tensile strength, toughness, and durability.