Thick Walled cylinders and Spheres
Thick Walled Cylinders
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Internal Pressure Only
Pressure Vessels are found in all sorts of engineering applications. If it assumed that the Internal Pressure isMISSING IMAGE!
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The Error In The
If the thickness of the cylinder walls isExample - Example 1
- The Thickness =
The Plastic Yielding Of Thick Tubes.
- Yield takes place when the maximum Stress difference (or Shear Stress) reaches the value corresponding the yield in simple tension. This assumption has been found to be in good agreement with experimental results for ductile material.
- The Material exhibits a constant yield Stress
in tension and there is NO Strain hardening; i.e., it is an ideal elastic material.
- The longitudinal Stress in the tube is either zero or lies algebraically between the Hoop and Radial Stresses. From this it follows that the maximum Stress difference is determined by the Hoop and Radial Stresses only.
Example - Example 5
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- The pressure for the initial yield is
- The pressure for a complete yield is
Compound Tubes.
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Example - Example 6
- For the inner tube :
- Similarly for the outer tube:
- Stresses due to Internal Pressure:
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- The initial difference of diameters at the common surface
A Hub Shrunk Onto A Solid Shaft
The Shaft will be subjected to an external pressureExample - Example 7
- For the shaft
- For the Hub
- Force fit
Thick Spherical Shells
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