You're correct - there are several longitudinal stresses that must be computed to properly determine the equivalent (Code) stress. CAESAR II does these computations internally and determines the worst condition in the final evaluation of the equivalent stress.
You cannot use the values reported for "axial" and "Bending" to verify the Code stress (or the equivalent stress). These component values do not provide complete information necessary to determine the Code stress.
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Regards,
Richard Ay - Consultant