Maximum shear stress in a thin cylinder with internal pressure only

[OKaraali]

I am having some trouble finding out the Maximum shear stress, I worked out my hoop stress and axial stress for the thin cylinder theory but the radial stress i am having issues with. If the applied pressure is only internal then would the radial stress be 0.

 

[Chestermiller]

I am having some trouble finding out the Maximum shear stress, I worked out my hoop stress and axial stress for the thin cylinder theory but the radial stress i am having issues with. If the applied pressure is only internal then would the radial stress be 0.

For a thin walled cylinder, it is negligible compared to the axial and hoop stresses. It is zero on the outside, and gauge pressure on the inside. So it varies linearly with position through the thickness of the wall. But, irrespective of the location, the magnitude is going to be very low relative to the other principal stresses.

 

[OKaraali]

Thanks I managed to find this out in further research last night but at least now its verified.