Determining Tensile Stress on Pressurized Sphere Skin

Strength of Materials, 5th Edition by William A. NashIn summary, to determine the tensile stress on the skin of a pressurized sphere, one can use the formula s = (p r)/(2 t), where s is the tensile hoop stress, p is the differential pressure, r is the mean wall radius, and t is the membrane thickness. It is recommended to learn how to derive the thick membrane stress formula, which can then be used to derive the thin membrane formula. Additional resources for this topic can be found in engineering books such as Schaum's Outline of Theory and Problems of Strength of Materials or Strength of Materials, 5th Edition by William A. Nash.
  • #1
linda123
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how to determine the tensile stress placed on the skin of a pressurized sphere
 
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  • #2
Does one wish the thin wall approximation or the formula for the thick wall?
 
  • #3
any?
 
  • #4
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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1. What is tensile stress?

Tensile stress is the force per unit area that is applied to an object in order to stretch or pull it apart. It is typically measured in units of force per square inch or newtons per square meter.

2. How is tensile stress calculated?

Tensile stress is calculated by dividing the force applied to an object by the cross-sectional area of the object. This gives the stress in units of force per unit area.

3. Why is it important to determine tensile stress on pressurized sphere skin?

Determining the tensile stress on pressurized sphere skin is important in order to ensure the structural integrity and safety of the sphere. If the stress exceeds the strength of the material, it could lead to failure or rupture of the sphere, which could be dangerous.

4. What factors affect the tensile stress on pressurized sphere skin?

The main factors that affect tensile stress on pressurized sphere skin include the pressure inside the sphere, the material properties of the sphere skin, and the geometry of the sphere. Other factors such as temperature and external forces may also play a role.

5. How can we reduce tensile stress on pressurized sphere skin?

Tensile stress on pressurized sphere skin can be reduced by using stronger and more resilient materials for the sphere skin, reducing the pressure inside the sphere, and optimizing the geometry of the sphere to distribute the stress more evenly. Regular maintenance and inspections can also help to identify and address any potential sources of stress before they become a problem.

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