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The accuracy of the bending disturbances in (axisymmetrically loaded) spherical shells is computed by means of the widely used simplified method known as Geckeler's approximation (often employed as a benchmark for numerical models). The study is based on a comparison between Geckeler's approach and a related, but ‘superior’ approximation which, for practical purposes, may be considered to be exact. Conclusions are drawn from the results of a parametric investigation that encompasses various loading types, boundary conditions and shell geometries (i.e. springing angles and slenderness ratios).