Hi Borzki,

Quote from ASME BPVC VIII-2 Sect. 5.5.1.4:

<< Stresses and strains produced by any load or thermal condition that does not vary during the cycle need not be considered in a fatigue analysis if the fatigue curves utilized in the evaluation are adjusted for mean stresses and
strains. The design fatigue curves referenced in 5.5.3 and 5.5.4 are based on smooth bar test specimens and are adjusted for the maximum possible effect of mean stress and strain; therefore, an adjustment for mean stress effects is not required....>>.

So, the common employment of smooth bar fatigue curves given by ASME VIII-2 part 5 do not require mean stress on cycle consideration.

Best regards,