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Plane Strain Analysis of Pipe with Internal Pressure

Problem:

A cylinder of internal diameter φ200 mm and external diameter φ300 mm is subjected to internal pressure of intensity 10 MPa. Determine radial and circumferential stress in the cylinder using 2D plane strain quarter model.

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The model is prepared and FE analysis is performed in SCIFESOL.

Geometry of Pipe
2D Geometry
2D Mesh of pipe in SCIFESOL
Mesh
Boundary Conditions of pipe in SCIFESOL
Boundary Conditions
Analytical Calculations:
calceqn.JPG
analytical calculations of pipe with internal pressure
Results:

The deformation and stress results are plotted in cylindrical co-ordinate system.

radial deformation of pipe
Radial Deformation
radial stress in pipe
Radial Stress
Circumferential Stress in pipe
Circumferential Stress
Summary:
8.JPG

note:Script file for above analysis is available in the SCIFESOL package. 

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