# Development of a Simplified Human Body Model for Movement Simulations
## Appendix A  
The appendix presents the shapes of the body parts defined for the developed model, as well as the formulas that parameterize their dimensions and masses. In Table A1, the individual columns provide one below the other, the equation, source, and the value calculated for the purpose of this article when assuming a body height of H = 187 cm. The numbers placed under the body part's name correspond to the numbers in Figure 1a. The radius refers to the larger circle in the truncated cone. The smaller radius of the segment is taken after the adjacent connected body part's radius.  
Table A2 presents the formulas that parameterize the masses of the developed model's individual body parts, which are dependent on the body mass--in this article, assumed as M = 70 kg.  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Body Part** & **Length [cm]** & **Width/Radius [cm]** & \begin{tabular}{c} **Height/** \\ **Thickness [cm]** \\ \end{tabular} & **Shape** \\ \hline \multirow{4}{*}{\begin{tabular}{c} Calf \\ (1\({}^{\prime}\) and 1\({}^{\prime\prime}\)) \\ \end{tabular} } & \multirow{2}{*}{\(l_{c}=(0.285-0.039)H\)} & \multirow{2}{*}{\(r_{c}=\frac{1}{2\pi}\sqrt{\frac{m_{c}-0.0226M-0.016}{31.33M_{c}}}\)} & \multirow{2}{*}{\begin{tabular}{c} Truncated cone \\ \end{tabular} } \\  & & [22] & & \\ \cline{2-5}  & & & & \\ \cline{2-5}  & & 46.002 & 5.397 & \\ \hline \multirow{4}{*}{\begin{tabular}{c} Thigh \\ (2\({}^{\prime}\) and 2\({}^{\prime\prime}\)) \\ \end{tabular} } & \multirow{2}{*}{\(l_{thi}=(0.530-0.285)H\)} & \multirow{2}{*}{\(r_{thi}=\frac{1}{2\pi}\sqrt{\frac{m_{c}-0.1032M+1.025}{12.76l_{ii}}}\)} & \multirow{2}{*}{\begin{tabular}{c} Truncated cone \\ \end{tabular} } \\  & & [22] & & \\ \cline{2-5}  & & 45.815 & 5.883 & \\ \hline \multirow{4}{*}{\begin{tabular}{c} Abdomen \\ (3) \\ \end{tabular} } & \multirow{2}{*}{\(l_{ab}=(0.720-0.530)H\)} & \multirow{2}{*}{\(r_{ab}=\frac{0.174H}{2^{2}}\)} & \multirow{2}{*}{\begin{tabular}{c} \\ [22] \\ \end{tabular} } & \multirow{2}{*}{-} \\  & & 35.530 & 16.269 & \\ \hline \multirow{4}{*}{\begin{tabular}{c} Thorax \\ (4) \\ \end{tabular} } & \multirow{2}{*}{\(l_{tho}=(0.818-0.720)H\)} & \multirow{2}{*}{\(r_{tho}=\frac{0.259H}{2^{2}}\)} & \multirow{2}{*}{-} \\  & & [22] & & \\ \cline{2-5}  & & 18.326 & 24.217 & \\ \hline \multirow{4}{*}{\begin{tabular}{c} Upper arm \\ (5\({}^{\prime}\) and 5\({}^{\prime\prime}\)) \\ \end{tabular} } & \multirow{2}{*}{\(l_{u}=0.186H\)} & \multirow{2}{*}{\(r_{u}=\sqrt{\frac{m_{c}}{p\pi l_{u}}}\)} & \multirow{2}{*}{\begin{tabular}{c} \\ [22] \\ \end{tabular} } & \multirow{2}{*}{-} \\  & & 34.782 & 4.094 & \\ \hline \multirow{4}{*}{\begin{tabular}{c} Forearm \\ (6\({}^{\prime}\) and 6\({}^{\prime\prime}\)) \\ \end{tabular} } & \multirow{2}{*}{\(l_{for}=0.146H\)} & \multirow{2}{*}{\(r_{for}=\sqrt{\frac{m_{for}}{p\pi l_{\mu\alpha}}}\)} & \multirow{2}{*}{-} \\  & & [22] & & \\ \cline{2-5}  & & 27.302 & 3.399 & \\ \hline \multirow{4}{*}{\begin{tabular}{c} Foot \\ (7\({}^{\prime}\) and 7\({}^{\prime\prime}\)) \\ \end{tabular} } & \multirow{2}{*}{\(l_{foot}=0.152H\)} & \multirow{2}{*}{\(w_{foot}=0.055H\)} & \multirow{2}{*}{\(h_{foot}=0.039H\)} & \multirow{2}{*}{\
\begin{tabular}{c} Triangular prism \\ [22] \\ \end{tabular} } \\  & & & & \\ \cline{2-5}  & & 28.424 & 10.285 & 7.293 \\ \hline \multirow{4}{*}{
\begin{tabular}{c} Pelvis \\ (8\({}^{\prime}\)) \\ \end{tabular} } & \multirow{2}{*}{\(l_{p}=0.163H\)} & \multirow{2}{*}{\(w_{p}=0.191H\)} & \multirow{2}{*}{\(h_{p}=0.05H\)} & \multirow{2}{*}{Pyramid} \\  & & [23] & & \\ \cline{2-5}  & & 30.526 & 35.717 & 9.35 \\ \hline \hline \end{tabular}
\end{table}
Table 10: Description of the developed model’s individual segment shapes and dimensions (for each, a parametric equation, source, and value calculated for the model built in this article are indicated).