Quick Note for Elongation Calculation

Elongation formula

The relationship between stress and strain is:

\[Young Modolus = \frac{{stress}}{{strain}}\]

\[E = \frac{\sigma }{\varepsilon } = \frac{{\frac{P}{A}}}{{\frac{{\Delta L}}{L}}} = \frac{{PL}}{{A\Delta L}}\]

Therefore, the elongation is calculated based on:

\[ \Delta L = \frac{{PL}}{{EA}} \]

The elongation of tendon is equal to summary of element elongation at all curvature of tendon

\[ \Delta {L_i} = \frac{{P_a^i.X_i}}{{EA}} \]

The total expected elongation of tendon

\[ \Delta L = \sum\limits_{i = 1}^n {\Delta {L_i}} \]