deletions | additions       diff --git a/method.tex b/method.tex  index 3b1a00b..464ccb4 100644  --- a/method.tex  +++ b/method.tex 
...
Where \(tol_z\) is the tolerance required to select all points at the boundary between the base of the stem and the ground, and where \(tol\) is the tolerance sufficient to select only the points at the boundary between the base of the stem and the ground for the initial seedling's radius.\\  By solving equation \ref{eq:F_new} for displacement \(\boldsymbol{u}\) subject to the boundary conditions (equations \ref{eq:BC1} and \ref{eq:BC2}) and internal and external loadings (equations \ref{eq:stem_grav}, \ref{eq:canopy_grav}, \ref{eq:drag} \ref{eq:Bs}, \ref{eq:Bc}, \ref{eq:Tw}  and \ref{eq:GS}) the displacement field was obtained. Hooks law (equation \ref{eq:hooks}) was used to find the stress. Solving of the system is achieved through the FEM. Failure surfaces were created using Tsai and Wu’s failure criterion (Tsai and Wu, 1971) and calculated for every point in the stem for all wind speeds. Each point is evaluated for its safety factor, where a factor of one is on the failure surface, with a lower than one factor being before the limit of proportionality and higher than one factor after the limit. The values are the observed stress over the proportional limit stress given the other five stress states. Due to the dependence of each direction of failure on the other directions, as demonstrated in --Chapter 2--, for this calculation all but the variable in question are held constant at their modelled values. Once passed the proportional limit the linear stress strain curves were still assumed, this is not physically accurate. The proportional limit stresses were calculated from the linear interpolation described in ---Section 3.2.2---