Mechanical Engineering
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# Hemispherical dome

## Question

Hello!

Please I need your help, I need correction of this homework .

A hemispherical dome is partially submerged in water of density r, as shown in Figure. Find the membrane stresses at the point A, defined by the angle f . You can assume that the pressure inside the dome and above the water surface is atmospheric pressure p0 and that the stresses due to self-weight of the shell are negligible.

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There is lots of discussion of problems of this sort in Den Hartog's Advance Strength book.

DrD

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42 minutes ago, DrD said:

There is lots of discussion of problems of this sort in Den Hartog's Advance Strength book.

DrD

Can you give me some ideas about these discussions ?

Thank you

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It is far better for you to read the book. I have not done such problems since I taught a course where they were included in the Fall semester, 1969. My memory is a bit fuzzy, and I'd probably mislead you.

DrD

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1 hour ago, DrD said:

It is far better for you to read the book. I have not done such problems since I taught a course where they were included in the Fall semester, 1969. My memory is a bit fuzzy, and I'd probably mislead you.

DrD

Okay thank you a lot ##### Share on other sites

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Assume that p0 is 1 atm and that the density of water is 1000kg/m^3. Stress = force / area. The force applied is evenly distributed as it is a hemisphere and the curved surface area is 2piR^2 at h = 2R/3 and h = R for a hemisphere.

The maximum applied compressive load will be at a depth of rgh where r = 1000kg/m^3, g = 9.81m/s^2 and h = 2R/3

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