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In 1935 Professor E.O. Waters and Messrs. D.B. Rossheim, D.B. Wesstrom and F.S.G. Williams undertook the work of studying all existing flange stress formulas and developing whatever was needed to bring into the subject of flange design rational analysis and accuracy over the practical range of application. The condensed result of this work appears in a paper entitled "Formulas for Stresses in Bolted Flanged Connections." This paper appears in the April 1937 "Transactions of the American Society of Mechanical Engineers" volume 59 No. 3, FSP-59-4.

The purpose of this report is to supplement the above-mentioned paper and to set forth in detail the step-by-step analysis from which the formulas were derived. This is made available for record purposes, for the information of those who wish to check the detailed developments and to provide the fundamental equations from which problems beyond the scope of the working charts can be solved.