Modeling and Analysis Lab Problem-11 solution: 2D Static analysis of thick wall pipe subjected to internal pressure using ANSYS

1. A cylinder of inner radius 20mm and outer radius 100mm is subjected to internal
pressure of 200 N/mm2. Determine the Displacement, Stresses along the radial
thickness of the cylinder. Given the Young’s Modulus 2x105 N/mm2 . Assume suitable
length.
Analytical Solution:
PROBLEM
Radial Stress at any radius in the cylinder is given by σr =
Pib2
(b2 – a2)
1 - r2
b2
Tangential Stress at any radius in the cylinder is given by σθ =
Pib2
(b2 – a2)
1 +
r2
b2

2. 1 2
3

3. 1
2
3
4
5
6

4. 1
2
3
Check the element behaviour such as plane stress, plane
strain, Axisymmetric or plane stress with thickness. In the
present case plane stress with thickness is selected.
4

5. 2
1

6. 1
2

7. 1
2
3
4
5
6
7
Exit the menu

8. 1
2
3

9. Quarter Model
is created
1

10. For distcretizing the part
plot only the lines because
the division can be
performed
1

11. Pick the inner and outer lines
2
3
1

12. 4
2
3
1

13. 1
3
2

14. 2
1
3

15. 1
Pick the Area
to be meshed
2
3

16. Mesh is
created

17. 1
Pick the edges
on the
diameters
2
3
Apply the boundary
conditions

18. 1
Pick the inner
surface of the
cylinder
2
To Apply the
pressure on the
inner surface
2

19. 2
3
1
After applying the pressure
save the file

20. 1
2
3
After Solution is done go to postprocessing to view the results

21. 1
Results are viewed. In the
Post Processing stage
2
Results are viewed in the
default settings, Hence the
results are viewed in
Cartesian Coordinate

22. Results are viewed in the Post
Processing stage the results
1
2
3
4

23. After Re-plot the distribution
is as shown in next slide

26. Other Results can be viewed in the similar manner

27. END