Carletes' point about applying the ratio to the thermal (and displacement) component of the operating load but not the weight, pressure and spring loads is interesting. Note I didn't call it the expansion component as I didn't want to confuse this with the expansion case range calculation described in the previous post above. If we assume the entire system sees the same change in the elastic modulus, and if the system is totally linear (regarding support conditions), then I would agree that both the hot and cold modulii would develop the same sustained load distribution. If, however, the system has different temperatures or materials and, therefore, different ratios of hot to cold modulus, or, if there are complicating nonlinear supports, then all loads are in question. The B31.3 complement to the referenced paragraph 119.10.1 of B31.1 above (B31.3 - 319.5.1) limits this calculation only to simple, two anchor systems.
Keep in mind that the code was developed long before comprehensive analytical tools were available. These paragraphs provide accepted shortcuts used to reduce those formidable hand calculations.
So why not just run the analysis in CAESAR II where you use the proper modulii? Not for stress, but for load. Those numbers would not be subject to the stipulations above and would be more "correct" in any case.
Also, keep in mind that B31.3 does not insist on avoiding the operating modulus for stress. Para. 319.2.2(b)(4) states that "When differences in the elastic modulus within a piping system will significantly affect the stress distribution, the resulting displacement stresses shall be computed based on the actual elastic moduli ... and then multiplied by the [ambient-to-operating] ratio ..."
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Dave Diehl