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thin-walled vessel (sphere) pressure load calculatorpressure vessels are held together against air pressure due to the tension within the walls of the vessel. the stresses in a spherical-shaped shallow-walled pressure vessel are related to the internal gauge pressure, the inner radius of the sphere, the wall thickness, and the density of the material. a container may be considered "shallow walled" if the diameter is at least 10 times (sometimes called 20 times) greater than the wall depth.