## 2 Test of Binder Ratio and Mechanical Properties of Fiber-Reinforced Bamboo Substrate
### Fabrication and Performance Test Analysis of Fiber-Reinforced Bamboo Substrate
#### 2.3.2 Performance Test and Results of Fiber-Reinforced Bamboo Substrate
Figure 6: Fiber-reinforced bamboo substrate: (**a**) size of fiber-reinforced bamboo substrate; (**b**) plate constraint and load model. In this study, bamboo strips, glass fiber cloth, and MOC are treated as isotropic materials. Although bamboo is inherently anisotropic, the material properties in the direction of bamboo fiber were primarily used in this analysis. The elastic modulus in the direction of bamboo fiber length was selected for the simulation. The glass fiber cloth is a bidirectional orthogonal mesh cloth that primarily enhances the tensile properties of the vertical cross-section with bamboo fiber. The parameters required for the MOC and bamboo strips were obtained in accordance with the test results, with the constitutive curves illustrated in Figure 7. The parameters for the glass fiber cloth were determined based on factory test reports. The glass fiber is strong, and it did not break during testing, allowing it to be considered as linearly elastic. The elastic modulus of the glass fiber cloth was 100 GPa, Poisson's ratio was 0.2, and the mass density was 200 kg/m\({}^{3}\). The ultimate tensile strain (\(\epsilon_{\text{tu}}\)), yield strain (\(\epsilon_{y}\)), and ultimate compressive strain (\(\epsilon_{\text{cu}}\)) were 0.083, 0.025, and 0.04, respectively. For MOC, the ultimate tensile strain (\(\epsilon_{\text{tu}}\)), yield strain (\(\epsilon_{y}\)), 0.44\(\epsilon_{\text{cu}}\), and ultimate compressive strain (\(\epsilon_{\text{cu}}\)) were 0.007, 0.009, 0.027, and 0.061, respectively. The material parameters are summarized in Table 3.  
For the numerical simulation of the flexural specimens, the geometric model and loading of the fiber-reinforced bamboo board were consistent with the test. In the first stage, the load was increased by 4 kN seven times, while in the second stage, it was increased by 1 kN five times. The load-displacement curve in the vertical direction of the bamboo fiber was obtained through analysis, as shown in Figure 8a. When the linear load was applied in the direction of the bamboo fiber, an increase of 1 kN per stage was observed, and the load-displacement curve in the direction of the bamboo fiber was obtained after analysis, as shown in Figure 8b. The simulation results show that the yield loads of the plates perpendicular to and along the direction of the bamboo fiber were 25 kN/m and 10 kN/m, respectively. The maximum Mises stress in the direction of the vertical bamboo fiber reached 33.74 MPa, as shown in \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Sample**} & \multicolumn{5}{c}{**Material Parameter**} \\ \cline{2-6}  & **Modulus of** & **Poisson’s** & **Density** & **Compressive Strength** & **Tensile Strength** \\  & **Elasticity (GPa)** & **Ratio** & **(kg/m\({}^{3}\))** & **(\(\sigma_{\text{cu}}\), MPa)** & **(\(\sigma_{\text{tu}}\), MPa)** \\ \hline Bamboo Strip & 15 & 0.3 & 780 & 50 & 165.99 \\ MOC & 50 & 0.2 & 1900 & 48.83 & 34.64 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Material parameter properties. Figure 7: Stress–strain curves of the materials used in the simulation: (**a**) bamboo strip; (**b**) MOC. Figure 9, while the experimental strength was 34.64 MPa, resulting in an error of approximately 2.6%. The maximum Mises stress along the bamboo fiber was 14.52 MPa, compared to the experimental value of 15.71 MPa, with an error of about 7.6%. These findings demonstrate that the numerical simulation modeling method employed in this study effectively simulated the properties of the sheet material. The accuracy of the flexural resistance performance test of fiber-reinforced bamboo board was verified. It provides conditions for the numerical simulation analysis of the mechanical properties of the walls and floor slabs fabricated from this board.