shell loading

huangyhg

shell loading
is anyone aware of an analytical (non-fea) solution of how to calculate the allowable forces and or moments that can be imposed on a roof manway of an api 650 oil storage tank?  the roof is a self supporting cone design, and the manway is not located in the center of the roof.  i think the failure mechanism would be local buckling of the roof plates, due to the compressive loading, large (local) radius of curvature, and thinness of the roof plates.  any help would be greatly appreciated.  i’d even settle for the double infinite fourier series type of solution that is common in analytical plate/shell mechanics.