A hollow tube will burst (fracture) first by hoop stress. A mechanics book will provide the corresponding relationships between hoop and longitudinal stress for hollow bodies (i.e. cylinders and spheres).

Just to expand on the comment of Jeffrey, theory says for a homogeneous material the hoop stress is about 2 times higher than the longitudial stress.

Dear Jeffrey and Rudiger 

thanks a lot for your comments about my question , let me explain my question more:

the final failure of materials relates to both hoop and longitudinal and we must to put this two stress in the von mises criterion and check the final failure , therfore only hoop tensile strength is insufficient for checking failure ....

thanks much

Material anisotropy , filament winding angle and ratio of  hoop stress to longitudinal stress will play an important role in the failure mechanism. Pl refer attached papers.

http://www.iccm-central.org/Proceedings/ICCM13proceedings/SITE/PAPERS/Paper-1268.pdf

https://sem.org/wp-content/uploads/2015/12/sem.org-SEM-X-Int-Cong-s009p01-Optimal-Fiber-Orientation-Fiber-Reinforced-Pressure-Vessels.pd