Glass substrate strength is commonly evaluated by ring on ring test. Thin substrates may deflect more than 25% of their thickness before fracturing. If so, the standard formulas converting failure load to strength are invalid. We describe a method for converting load to strength, taking into account this large deflectionThe ring on ring test is commonly used in the display industry for evaluating the strength of a monolithic glass substrate. The ASTM standard for this test specifies that the deflection of specimen not exceed 25% of the glass thickness. With current emphasis on light weight panels with glass as thin as 0.3 mm, a specimen may deflect more than 25% of its thickness before fracturing. In such a case, large deflection can result in significant membrane stress. When this occurs, the small deflection formulas of the ASTM standard for converting failure load to strength are no longer valid. This paper provides a more accurate solution for converting failure load to strength, taking account of membrane stress resulting from large deflection. The results presented here show that membrane stress becomes an increasing percentage of the total stress with increasing deflection (and applied load).When large deflection occurs, small deflection (linear bending) theory can overestimate specimen strength significantly. Examples included in this paper illustrate the importance of using large deflection theory to get accurate values of failure stress (strength) for thin glass with the ring on ring test. A key to good measurement is to pay attention to the ratio of deflection to specimen thickness, and use the appropriate method to convert failure load to strength if it exceeds 25% to 50%.