\section{Load test parameters}
\label{sec:load_test_params}
\begin{table}[h!]
    \centering
    \begin{tabular}{c c c c c}
    \toprule
        Mesh & Depth & Displacement & $V_f$ & $r_f$\\
    \midrule
        0.1  & 0.1  & 0.1  & 0.5 & 0.3713 \\
        0.07 & 0.07 & 0.07 & 0.5 & 0.3713 \\
        0.05 & 0.05 & 0.05 & 0.5 & 0.3713 \\
        0.03 & 0.03 & 0.03 & 0.5 & 0.3713 \\
        0.02 & 0.02 & 0.02 & 0.5 & 0.3713 \\
    \bottomrule
    \end{tabular}
    \caption{Parameters for mesh convergence analysis. All parameters are given as relative sizes.}
    \label{tab:load_test_params}
\end{table}

\begin{table}[h!]
    \centering
    \begin{tabular}{c c c c c}
    \toprule
        Mesh & Depth & Displacement & $V_f$ & $r_f$ \\
    \midrule
        0.02 & 0.02 & 0.02 & 0.3 & 0.2876 \\
        0.02 & 0.02 & 0.02 & 0.5 & 0.3713 \\
        0.02 & 0.02 & 0.02 & 0.7 & 0.4392 \\
    \bottomrule
    \end{tabular}
    \caption{Parameters used in load testing.}
    \label{tab:load_test_params}
\end{table}

\begin{table}[h!]
    \centering
    \begin{tabular}{c c | c c | c c }
    \toprule
        \multicolumn{2}{c}{$V_f = 0.3$} & \multicolumn{2}{c}{$V_f = 0.5$} & \multicolumn{2}{c}{$V_f = 0.7$} \\
    \midrule
        $E_{2f}$ & $E_22$ & $E_{2f}$ & $E_22$ & $E_{2f}$ & $E_22$\\
        15450 & 6322 & 14700 & 7810 & 15075 & 10073\\
        14550 & 6253 & 15450 & 7946 & 15150 & 10101\\
        15225 & 6305 & 14550 & 7782 & 14850 & 9987\\
        14775 & 6271 & 15225 & 7906 & 15300 & 10157\\
        & & 14775 & 7824 & 15450 & 10323\\
        & & & & 14700 & 9930\\
        & & & & 14550 & 9765\\
    \bottomrule
    \end{tabular}
    \caption{$E_{2f}$ values used in pertubation tests, and corresponding computed $E_{22}$ values. Mesh, displacement and fiber radius were equivalent to those found in Table \ref{tab:load_test_params}.}
    \label{tab:pertubation_params}
\end{table}



























