I believe your concept is correct. But why a 20 mm cut long when the actual spacer is 13 mm? Note that, because of uncertainty, B31.3 would have you go + and - 1/3 of your cut - this would have you running a cut long of both 8.7 mm AND 17.3 mm.
(You can enter the full cut long in your CAESAR II input and then specify ".67CS" and "1.33CS" in your load case definition.)
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Dave Diehl