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The following chart gives the load required to compress a .139 diameter o-ring with respect to percent compression of diameter and the applicable hardness - Shore A scale.
To use the chart, first determine the o-ring diameter, material hardness, then your design compression on the o-ring. With this you can determine the estimated compression force per linear inch of your installed o-ring.
.139 Diameter O-Ring
References: Parker-Hannifin, Chrometrics, DuPont