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:
\[ ### \begin{align*} F_{up} = P_{injector}*A_{injector} \\ F_{up} + N*F_{bolt}=0 \\ |F_{bolt}| = 1 \\ \end{align*} ### \begin{equation} \label{eq1} \begin{split} A & = \frac{\pi r^2}{2} \\ & = \frac{1}{2} \pi r^2 \end{split} \end{equation} \]