For the injector faceplate to stay fastened to the manifold, the bolts must satisfy a factor of safety for both tensile and shear stress. A net upward pressure acting on the faceplate applied to the area of the injector requires all bolts on the injector manifold -both axial and radial- to withstand this force to maintain structural integrity.

Hot Fire Calculations:

###
\begin{align*}
F_{up} = P_{injector}*A_{injector} \\
F_{up} + N*F_{bolt}=0 \\
|F_{bolt}| = 1 \\

\end{align*}
###
\begin{equation} \label{eq1}
\begin{split}
A & = \frac{\pi r^2}{2} \\
 & = \frac{1}{2} \pi r^2
\end{split}
\end{equation}


Desmos: https://www.desmos.com/calculator/erjdwzmlve