The bending of a new typical gas holder under gas pressure is crucial to ensure the normal operation of the structure. It can be simplified to elastic bending of ring stiffened cylindrical shell, which is under partial internal pressure and has multiple circular reinforced ribs. Stripe Beam on Elastic Foundation Method (SBEFM) was extendable to the structure system. At the same time, traditional discrete stiffened method (TDSM) was improved. A gas holder of 300 000 m3 was taken as an example for analysis. On this basis, the method judging ring stiffened cylindrical shell smeared or discrete was presented. The new analysis shows that SBEFM has a wider applicability, higher accuracy and better efficiency than other methods and the improved discrete stiffened method is effective when the ring spacing is greater than 3.875 (Rh)1/2.