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:
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\begin{align*} & F_{up} = P_{injector}*A_{injector} \\ & F_{up} + N*F_{bolt}=0 \\ & \\ &|F_{bolt}| = \frac{P_{injector}*A_{injector}}{N} \\ & \\ & Stress_{Tensile}: σ = \frac{|F_{bolt}|}{A_{bolt}} = \frac{P_{injector}*A_{injector}}{N*A_{bolt}} \\ \end{align*} |