Bulletin 537 was published in 2010 [53] and is intended to facilitate implementation of the widely required and used relations found in the March 1979 Revision of WRC 107 for local stresses in spherical and cylindrical shells due to external loadings. The original analytical and experimental work of WRC’s Pressure Vessel Research Council delivered in WRC 107 has become the an essential tool for pressure vessel design for 45 years and in its present form for over 30 years. In response to numerous requests over the years for the precise equations depicted in the figures in the 1979 version of WRC 107, WRC 537 has been prepared. The objective was to eliminate potential errors in implementation, facilitate proper interpolation and extrapolation and permit efficient computation with modern computers.