I suppose you can use the API Burst Equation governing pipe collapse in the oil industry (drilling and downhole). This is typically thin wall pressure vessel with a factor of 7/8 applied to it.
P = 0.875 [2 Sy / (D/t)]
for P=internal pressure, Sy=yield stress, D=pipe OD and t=wall thickness.
I prefer the Von Mises-Hencky Equation for a triaxial state of stress.
S = sqrt(3) P [R^2/(R^2 - 1)] for R=D/d
D=OD and d=ID. You can substitute material yield strength for S and solve for internal pipe pressure given the OD and ID geometry. This model I have found to be extremely accurate and representative of practical, everyday engineering problems.
There are other models, you can use them for cross reference on your calculation. Good luck.
Kenneth J Hueston, PEng
Principal
Sturni-Hueston Engineering Inc
Edmonton, Alberta Canada