Determine the tangential and radial components of stress

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Reference no: EM131682884

Topic: Advanced Strength of Materials

Question: A thin walled spherical water tank is completely full of water. Determine the tangential and radial (normal) components of stress at a point on the equator of the sphere in terms of specific weight of water and the radius of the sphere and the thickness of the sphere.

Need the proof of the equation. There are two stress answers one for normal stress and one for tangential stress. The equation would be something like density time are squared divided by thickness. It is a thin walled pressure vessel project fro advanced strength of materials.

This will be a full proof with the resulting final equation for stress based on water density radius of sphere and thickness of sphere. There are two equations similar but different for normal stress and tangential stress?

I have the answer I just need the proof to get to the answer. The normal stress = density x radius^2/6t the tangential stress = 5* density x radius^2/6t.

I have tried all the thin walled spherical equations and can not come up with the proof for these answers. All the other equations are p*r/4t or p*r/2t.

Reference no: EM131682884

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Reviews

len1682884

10/17/2017 1:10:54 AM

Very frustrating. I have tried working backward from the volume and density of water to get mass. Using the mass times gravity to get force and use the force over the projected area to get pressure. Still can not derivate the resultant answers stated above. I have the answer I just need the proof to get to the answer. The normal stress = density x radius^2/6t the tangential stress = 5* density x radius^2/6t and I have tried all the thin walled spherical equations and can not come up with the proof for these answers. All the other equations are p*r/4t or p*r/2t.

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