COMPRESS considers the weight of the vessel carried by the tailing lug as resulting from the tangential shear stress in the skirt. This is treated in Case 18 of Table 17 of "Formulas for Stress and Stain", 5th Edition, by Roark and Young. When the tailing beam is added the total tailing lug load will be carried at two locations on the ring: one at each end of the "beam" (actually a "strut" since this is considered a tension-only member). The distribution of the forces is found by equating the deflection of the ring due to tangential shear stress and the vertical loads at top and bottom of the ring to the beam elongation.
The COMPRESS method described above is consistent with some published methods of design of tailing lugs and with standards we have seen from a number of prominent engineering firms.
A consequence of this mathematical model is that the beam cannot be subjected to more than 50% of the total tailing lug load. In fact, for the beam to carry 50% of the load requires an 'infinite' area, which of course is not possible.
Currently, COMPRESS attempts to apply ~about~ 1/2 of the total force to each end of the beam. The sub-routine actually will stop with a final beam size selection once the portion of the load carried by the beam exceeds 45% of the total load. This % was an arbitrary choice and in some cases may even impose a penalty in larger required beam area if the base ring is only "slightly" overstressed without the beam.
A new feature expected to be available in the next build of COMPRESS will allow the user to enter the beam area. COMPRESS will determine the loads carried by the ring at the top and bottom (through the beam) and calculate the stresses in each. If an overstress results, the user will need to enter a larger area (the larger area will "stiffen" the beam, reducing the total elongation, this has the effect of limiting the change in diameter of the ring, which then reduces the bending moment in the ring).
Tom Barsh
Codeware Technical Support