This paper provides designers a methodology for determining membrane and bending stresses in cylinders with loads applied through rectangular attachments having a length to width aspect ratio greater the four (4). This paper extends the original work done by Bijlaard  and Dodge  as well as the work published in Welding Research Council WRC Bulletins. Bulletins 107  and 537  are limited to aspect ratios of four (4) and Bulletin 198  is limited to aspect ratio of ten (10). This method provided also adds more precision to the Kellogg  method which was based on the work of Roark . The data, curves and formulas presented in this paper are the result of a parametric finite element study across the geometry range. Attachments were analyzed with a slender attachment orientation parallel and perpendicular to the axis of the cylinder. Geometric parameters were varied over a range of cylinder diameter & thickness and attachment length & width. This study is limited to small displacement theory. This paper also provides a methodology for analysis of the attachment from the loadings.
A Method for Stress Analysis of Cylinders With Loadings From Attached Rectangular Sections With an Aspect Ratio Greater Than Four
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Millet, B, Kirkpatrick, K, Miller, G, & Mosher, B. "A Method for Stress Analysis of Cylinders With Loadings From Attached Rectangular Sections With an Aspect Ratio Greater Than Four." Proceedings of the ASME 2017 Pressure Vessels and Piping Conference. Volume 3A: Design and Analysis. Waikoloa, Hawaii, USA. July 16–20, 2017. V03AT03A062. ASME. https://doi.org/10.1115/PVP2017-65220
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