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combined stress calcs: pressure and thermal

combined stress calcs: pressure and thermal

combined stress calcs: pressure and thermal

(OP)
Hi
I am trying to find some calculations to predict the combined stresses in a borosilicate dome.  Any help would be great.  

Specifically, I am designing a sub sea pressure housing for a high temperature light.  I will be using a glass hemisphere, outside pressures will reach up to about 2000 psi.  The temperature differential is what concerns me.  From some initial calcs, it looks like the inside surface could see up to about 300F (probobly less, but i want to be safe), while the outside surface is at about 90F.   at full pressure (2000 psi) the outside temps will be much cooler, with a corresponding reduction on the inside surface; but the differential should be similar.

the short story: how do I predict the required thickness of a 5" OD borosilicate dome under the above conditions?

I have never worked with glass before, and would appreciate any input someone may have.

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