## 3 Results and Discussion
### Properties of Mechanical
#### 3.1.3 Comparative Review of Equivalent Flexural Strength and Residual Flexural Strength
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Mixture ID**} & \multicolumn{2}{c}{**Fiber Mix Proportion by**} & \multirow{2}{*}{**Total Volume**} & \multirow{2}{*}{**\(f_{r}\)**} & \multirow{2}{*}{**\(f^{\prime}_{r}\)**} & \multirow{2}{*}{**\(f^{\prime}_{r}\)**} & \multirow{2}{*}{**\(R_{r}\)**} & \multirow{2}{*}{**\(R_{r}\)/\(f_{r}\)**} \\  & & **Volume (\%)** & & & & & & \\ \cline{2-7}  & **SF** & **CF** & & & & & & \\ \hline SC0-1 & & & & & & & & \\ SC0-2 & 0 & 0 & 0 & 3.24 & (0.15) & (0.05) & - & - \\ SC0-3 & & & & & 3.09 & (0.18) & (0.06) & - & - \\ \hline \multicolumn{7}{c}{Average} & & & 3.09 & (0.18) & (0.06) & \\ \hline SC1-1 & & & & & & & \\ SC1-2 & 1 & 0 & & & & & \\ SC1-3 & & & & & & & \\ \hline \multicolumn{7}{c}{Average} & & & 5.79 & 3.97 & 0.69 & 2.88 & 0.50 \\ SC2-2 & 1 & 0 & & & & 5.97 & 4.41 & 0.74 & 3.30 & 0.55 \\ SC1-3 & & & & & & & & \\ \hline \multicolumn{7}{c}{Average} & & & 5.85 & 4.15 & 0.71 & 3.04 & 0.52 \\ \hline SC2-1 & & & & & & 8.16 & 4.76 & 0.58 & 3.12 & 0.38 \\ SC2-2 & 0.75 & 0.25 & & & & 7.20 & 4.40 & 0.61 & 2.88 & 0.40 \\ SC2-3 & & & & & & 7.68 & 4.51 & 0.59 & 3.09 & 0.40 \\ \hline \multicolumn{7}{c}{Average} & & & 7.68 & 4.56 & 0.59 & 3.03 & 0.39 \\ \hline SC3-1 & & & & & & 7.50 & 4.41 & 0.59 & 2.96 & 0.40 \\ SC3-2 & 0.5 & 0.5 & & & 7.44 & 5.36 & 0.72 & 3.51 & 0.47 \\ SC3-3 & & & & & & 7.56 & 4.95 & 0.65 & 3.45 & 0.46 \\ \hline \multicolumn{7}{c}{Average} & & & 7.50 & 4.91 & 0.65 & 3.31 & 0.44 \\ \hline SC4-1 & & & & & 6.42 & 2.93 & 0.46 & 1.44 & 0.22 \\ SC4-2 & 0.25 & 0.75 & & & 5.34 & 2.33 & 0.44 & 1.32 & 0.25 \\ SC4-3 & & & & & 5.88 & 2.76 & 0.47 & 1.26 & 0.21 \\ \hline \multicolumn{7}{c}{Average} & & & 5.88 & 2.67 & 0.46 & 1.34 & 0.23 \\ \hline SC5-1 & & & & 4.83 & (1.28) & (0.26) & - & - \\ SC5-2 & 0 & 1 & & 5.10 & (1.19) & (0.23) & - & - \\ SC5-3 & & & & 4.95 & (1.23) & (0.25) & & \\ \hline \multicolumn{7}{c}{Average} & & & 4.96 & (1.23) & (0.25) & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Calculation results of equivalent flexural strength and residual flexural strength. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Mixture ID**} & \multicolumn{2}{c}{**Fiber Mix Proportion by**} & \multirow{2}{*}{**Total Volume (\%)**} & \multirow{2}{*}{**\(P_{600}\)**} & \multirow{2}{*}{**\(P_{150}\)**} & \multirow{2}{*}{**\(f_{600}\)**} & \multirow{2}{*}{**\(f_{150}\)**} & \multirow{2}{*}{**\(T_{600}\)**} & \multirow{2}{*}{**\(T_{150}\)**} \\  & & **Volume (\%)** & & & & & & \\ \cline{2-7}  & **SF** & **CF** & & & & & \\ \hline SC0-1 & & & & - & - & - & - & - \\ SC0-2 & 0 & 0 & 0 & - & - & - & - & - \\ SC0-3 & & & & - & - & - & - & - \\ \hline \multicolumn{7}{c}{Average} & & & & & & \\ \hline SC1-1 & & & & 18.4 & 9.60 & 5.52 & 2.88 & 5.01 & 26.5 \\ SC1-2 & 1 & 0 & & 18.5 & 10.8 & 5.55 & 3.24 & 5.99 & 29.4 \\ SC1-3 & & & & 18.9 & 9.80 & 5.67 & 2.94 & 5.50 & 27.2 \\ \hline \multicolumn{7}{c}{Average} & 1.0 & 18.6 & 10.1 & 5.58 & 3.02 & 5.50 & 27.7 \\ \hline SC2-1 & & & & 25.3 & 10.5 & 7.59 & 3.15 & 5.05 & 31.7 \\ SC2-2 & 0.75 & 0.25 & & & 21.9 & 9.91 & 6.57 & 2.97 & 4.95 & 29.3 \\ SC2-3 & & & & 22.9 & 10.2 & 6.87 & 3.06 & 4.99 & 30.1 \\ \hline \multicolumn{7}{c}{Average} & & & 23.4 & 10.2 & 7.01 & 3.06 & 5.00 & 30.4 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Test results of flexural performance indices using ASTM C 1609 and KS F 2566.