Anybody help with these questions?

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SUMMARY

The discussion focuses on calculating the maximum uniform internal pressure for a spherical pressure vessel designed to maintain tensile stresses below 150 MPa. The relevant formula derived from the thin-walled pressure cylinder assumption is P = σt/r, where σ is the tensile stress, t is the wall thickness, and r is the radius. The ratio of the vessel's radius to wall thickness is confirmed to be 100, indicating that for a tensile stress of 150 MPa, the maximum internal pressure should be calculated using the corrected equation P = σt/(2r). The initial attempt of 0.15 MPa is incorrect based on the proper application of the formula.

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Anybody help with these questions?

Homework Statement



A spherical pressure vessel has been designed such that the tensile stresses in its walls should not exceed 150MPa. The ratio of the vessels radius to wall thickness is 100. Applying a thin-walled plane stress assumption, what is the maximum uniform internal pressure that the vessel is intended to contain?

Homework Equations



Thin walled pressure cylinder assumption P= sigma(s) x radius/2xt(s)

The Attempt at a Solution


i tried the answer 0.15MPa but not sure if its right can anyone help me??
 
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Your equation should read σ= (Pr)/t or P = σt/r
 


rock.freak667 said:
Your equation should read σ= (Pr)/t or P = σt/r
Hi how do you denote the radius to wall thickness, is it 100 to 1 or 10 to 0.1?
Many thanks
Stevo
 


scw1 said:
Hi how do you denote the radius to wall thickness, is it 100 to 1 or 10 to 0.1?
Many thanks
Stevo

since r is the radius and t is the wall thickness

radius to wall ratio = 100 OR r/t = 100.
 
Good advice by rock.freak667, except the equation should be sigma = p*r/(2*t).
 


nvn said:
Good advice by rock.freak667, except the equation should be sigma = p*r/(2*t).

Yes it should, I was thinking about a thin-walled cylinder.
 

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