Hydraulic cylinder (Shell) stresses

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Johnatan88
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Hello guys,
this is my first time here take an apology if I choose wrong section of forum.
I just want to know should in shell of double-acting hydraulic cylinder (as in hydraulic presses ) should longitudinal/axis stress be analyzed beside radial and Circumferential/hoop stress and take in consideration.
I searched everywhere and couldn't find answer. I know that longitudinal stress is not important for open end cylinder such as gun barrel, but what about hydraulic press cylinder??

Thanks in advance
 
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Since this post has not been answered for 2days I'l take a gander.
Imagine the hydraulic piston to be the bullet in a gun. Any similarities?

Also if it were to be blocked all hydraulic machinery has relief valves set to much below bursting pressure