Determining Tensile Stress on Pressurized Sphere Skin

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To determine the tensile stress on the skin of a pressurized sphere, one must decide between using the thin wall approximation or the thick wall formula. The tensile hoop stress can be calculated using the formula s = (p r)/(2 t), where s is the tensile stress, p is the differential pressure, r is the mean wall radius, and t is the membrane thickness. It is recommended to derive the thick member stress formula first, as it can lead to the thin membrane formula. Engineering textbooks on pressure vessels or strength of materials provide foundational formulas for this analysis. Resources like Schaum's Outline of Theory and Problems of Strength of Materials can be beneficial for further study.
linda123
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how to determine the tensile stress placed on the skin of a pressurized sphere
 
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Does one wish the thin wall approximation or the formula for the thick wall?
 
any?
 
s = (p r)/(2 t), where s is the tensile hoop stress, p is the differential pressure across the membrane (assuming internal pressure is much larger than external pressure), r is the mean wall radius, and t is the membrane thickness.

I would recommend one learn to derive the thick member stress formula from which the thin membrane can then be derived.

Of course, one can look in many engineering books on pressure vessels or strength of materials and find the basic formulae.

Consider purchasing - Schaum's Outline of Theory and Problems of Strength of Materials
 
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