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You already have the m and y factors for the gasket right? If so, presuming the partition gasket is the same mat'l as the outer ring, you have all the info you need. Take a close look at Div. 1 App. 2-5.
You're calculating bolt loads based on gasket seating or operating conditions (Wm1 and Wm2). In these formulas wherever you see a pi*diameter (3.14G) term substitute in (pi*dia+length of partition).
The Wm1 term is basically (pressure*area or force on the bolts due to pressure) + (gasket area *pressure*multiplier or the additional load req'd to maintain gasket compression). Read the definition of m.
The Wm2 term is determining how much force it will take to mash (seat) the gasket into the micro-grooves in the flange with no internal pressure. This is simply area of gasket (pi*b*G) times the gasket seating stress (psi). Read the definition of y.
By substituting in the total length of the gasket (dia + any partition length) you're compensating for the existence of the partition. No, its probably not perfect... but then just about nothing is, and this approach is reasonable.
Good paper topic for someone: Say I have a channel with a horizontal partition. Should the four bolts on each side of the partition (two above, two below) be torqued higher since the stiffness of the flange is influenced by the partition and these bolts will have to "do more work" to compress the partition gasket?
jt