Thermal stress in thick hollow cylinder.

[Adamdim]

Hello,
I have a problem in which I have to calculate the axial stress because of difference of temperature in a thick hollow cylinder I found the types for the radial and tangent stress but I cannot find the one for the axial.The types for the radial and tangent are in the attached picture

Thank you very much.

 

[3DDave]

To attach a picture you upload it and then copy and paste the link from the upload into the message. Or turn on javascript to allow direct embedding.

 

[Adamdim]

Thank you for telling me.

This is the link

https://files.engineering.com/getfi...a-9280-b4811a7741fe&file=Screenshot_(179).png

Also i have another question.I have this hollow cylinder and he is stressed with this thermal stresses for 14000 cycles and i want to pick the right material so he wont break because of the fatique. I take the equal dynamic stress by zonderberg and i put sm=0 and sr the maximum stress at the beggining of the temperature flux but the temperature drops and the stresses becomes equal to 0.I i use the Wohler diagram in order the find the Sf in 14000 cycles and i compare it to the von misses dynamic equal stress.Is this correct?

 

[TGS4]

If this thick hollow cylinder is thick due to internal pressure, then you ought to be following the Boiler and Pressure Vessel Code. There are fatigue methods there.

 

[davefitz]

As I recall, this axial thermal problem was addressed in one of the Timoshenko stress handbooks.

ASME sction I does not offer a fatigue damage guideline or solution, but one can use ASME section VIII div 2 and use a canned finite element program to determine the stresses. If there are weld related abnormalities then perhaps a fracture mechanics approach may be used- see EN 12952-3 tables B-1,2 or 3.

"...when logic, and proportion, have fallen, sloppy dead..." Grace Slick