Smart2009:
Draw a cross section through the tank and the saddle, and a free body diagram of the various forces on this cross section. I’m not sure that I understand your question, but I think it is that there might be a slight ovaling or downward deflection of the top of the tank in the region of the saddle. Assuming a cylindrical tank with hemispherical ends, the internal pressures are self equilibrating as normal pressures and hoop stresses and tensile stresses along the length of the tank shell; except for localized secondary stresses. But, in addition, you now have the saddle reaction pushing upwards on the tank shell and you need an equal and opposite downward force system from the top of the tank for equilibrium. These two force systems are a concentration of half of the gravity loads on the tank in the immediate area above the saddle. Unlike the pressure forces, these gravity forces will tend to force/pull the top of the tank down a little bit. The saddle supports the bottom half of the tank and tends to maintain its shape, but the top half is free to move down. This can cause some concentrated secondary stresses in the tank shell right at the top of the saddle, caused by these two different force systems. I assume you’ve run your tank design through some computer software, and that software should show this action and these stresses added to the pressure stresses.