this is for holding javascript data
Nicholas Davies edited method.tex
over 7 years ago
Commit id: 0b8e38901bf5aa896f3a0341ea9a84e462e1f46c
deletions | additions
diff --git a/method.tex b/method.tex
index 4e61736..cd335d4 100644
--- a/method.tex
+++ b/method.tex
...
\begin{equation}\label{eq:tw_opt_min}
\boldsymbol{\sigma_{min}} = min(\sigma_i) \hspace{0.2cm} \text{subject to} \hspace{0.2cm} \boldsymbol{\sigma^T q + \sigma^T P \sigma} - 1 = 0
\end{equation}
Where \(\sigma_i\) is a single entry in the stress vector \(\boldsymbol{\sigma}\)
\begin{equation}\label{eq:SF_ten}
SF_{ten} = \boldsymbol{|\frac{\sigma}{\sigma_{max}}|}
\end{equation}
...
SF_{comp} = \boldsymbol{|\frac{\sigma}{\sigma_{min}}|}
\end{equation}
Where \(\sigma_i\) is a single entry in the stress vector \(\boldsymbol{\sigma}\), \(SF_{ten}\) is the saftey factor in tension and \(SF_{comp}\) is the saftey factor in compression.