## 6 Conclusions  
In this study, a total of five PC beam specimens were fabricated and tested under three-point bending with variables of corrosion location and the level of corrosion. To recommend the evaluation methods for corroded PC beams, the \(f_{\text{ps}}\) approximation and strain-compatibility methods were evaluated. The material properties of the corroded strands are also proposed herein. The detailed conclusions of this study are as follows:  
1. From the PC beam loading test, the corrosion of strands located close to the support did not have a significant influence on the global behavior. This was because of the lower flexural moment of the loading and sufficient bond strength between the strands and the surrounding concrete. However, when the beam had tendon-unit section loss of 9.49% in the middle of the span, the ultimate strength of the beam exhibited a 15.56% reduction after the rupture of the third wire.
2. Based on the tensile test results of the corroded strands, the ultimate properties of corroded strands were defined. Because the ultimate strain decreased sharply after section loss of 5%, the material models of the corroded strands were divided into two categories; the bi-linear material model and the brittle material model were used in the cases where the section loss was lower and higher than 5%, respectively.
3. Strength evaluations of the corroded PC beams according to the \(f_{\text{ps}}\) approximation and the strain-compatibility methods using OpenSES were compared to the test results. The strain compatibility method exhibited relatively higher accuracy with a difference of 1.59% and 0.14% for non-corroded and corroded PC beams, respectively. When PC beams had multiple strands, the strain compatibility method was more practical to apply separately, using different corrosion properties.
4. According to the Monte-Carlo simulation, the difference between the evaluated flexural strength based on both methods increased with the level of section loss when the section loss exceeded 5%. Therefore, a decision-making flow chart was proposed, which suggests the use of the strain compatibility method only after a section loss of 5%.  
Conceptualization, C-S.S; methodology, C-S.S. and C-H.J.; validation, C-H.J.; formal analysis, C-H.J.; investigation, C-H.J.; resources, C-H.J.; data curation, C-H.J.; writing--original draft preparation, C-H.J.; writing--review and editing, C-S.S. and C-H.J.; visualization, C-H.J.; supervision, C-S.S.; project administration, C-H.J.; funding acquisition, C-S.S. All authors have read and agreed to the published version of the manuscript.  
Figure 13: Flow chart for strength evaluation of corroded PC beams.  
**Funding:** This study was funded by the Ministry of Land, Infrastructure and Transport (MOLIT) of the Korean government and the Korea Agency for Infrastructure Technology Advancement (KAIA).  
**Acknowledgments:** This study was supported by a grant (18 SCIP-B128570-02) from the Smart Civil Infrastructure Research Program funded by the Ministry of Land, Infrastructure and Transport (MOLIT) of the Korean government and the Korea Agency for Infrastructure Technology Advancement (KAIA). This study was also supported by the Chung-Ang University Young Scientist Scholarship in 2016.  
**Conflicts of Interest:** The authors declare no conflict of interest.