Nicholas Davies edited method.tex  over 7 years ago

Commit id: 0b8e38901bf5aa896f3a0341ea9a84e462e1f46c

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\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.