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Cylinder problem strains

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Determine the strains in thick walled cylindrical vessel with inside diameter 1000 mm and outside diameter of 1400 mm. The vessel is subjected to a pressure of 35 MPa, and an axial stress of 100 MPa (E = 207 Gpa, and mu=0.3)

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The expert determines the strains in thick walled cylindrical vessels with inside diameter. The axial stress is determined in the solution.

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Problem

Determine the strains in thick walled cylindrical vessel with inside diameter 1000 mm and outside diameter of 1400 mm. The vessel is subjected to a pressure of 35 MPa, and an axial stress of 100 MPa (E = 207 Gpa, and mu=0.3)

Solution:

Assumption: the axial stress of 100 Mpa is considered as an overall axial tensile stress, including the effect of the axial stress due to internal and external pressures.

We have a particular state where no shear stresses occur. Moreover, the axial stress (denoted as x0) is constant along the cylinder, which simplifies the analysis.
The other normal ...

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