The exact problem I am having is dealing with a clamp band. The band is is broken into two 180 degree sections with a bolt torqued to X on each side. I was trying to solve for the vertical clamping force since clamp band is tapered on the inside. My approach was as follows
sigma(hoop)* Clamp Band Cross-Sectional Area = Internal Pressure * Area the pressure is acting on
Therefore,
Clamping Force = Internal Pressure * Area the pressure is acting on
I then solved for the internal pressure, did some good ole trig to get the vertical component, and called it a day. My concern is if the Clamping Force I use on the left side of the equation is suppose to be double since there are two bolts. I have talked myself into say yes and no. If you draw the FBD it appears as if you need to take 2 * the clamping force since you have one on each side. But realistically, I don't think that is the case but cannot prove it. If this does not make sense, ignore the tapered part and solve it as a simple clamp band and determine the resulting clamping force if bolted together. Thanks for your help.