Description
Find the outer (convex) surface tangential (q – q) stress at point E (refer below figure) of cylindrical shell with two load cases
as follow.
- Uniform normal edge moment, on DC, of 1.0 kNm/m
- Uniform outward normal pressure, at mid-surface ABCD, of 0.6 MPa. Tangential outward normal pressure, on edge DC, of 60.0 MPa
Reference
- Test LE2 from NAFEMS report TSBM, Publication NNB, Rev. 3, NAFEMS Linear Benchmarks, 5 Oct 1990.
Analysis type
Linear Static Analysis
Technologies used
- Meshing: Gmsh, NetGen
- Solver: Calculix
Geometry
Load assumptions
Boundary conditions
- Edge AB, all translations and rotations zero
- Edge AD and Edge BC, symmetry around rq plane, e.g. z translations and normal rotations are all zero
Material properties
Isotropic, E = 210 GPa, ν = 0.3
Computation target
Results
Case 1
Case 2
Summary
| Case | Theory | Gmsh+CalculiX | Error |
| 1 | 60.0 MPa | 60.97 MPa | 1.62 % |
| 2 | 60.0 MPa | 62.49 MPa | 4.15 % |
| Case | Theory | NetGen+CalculiX | Error |
| 1 | 60.0 MPa | 59.47 MPa | -0.88 % |
| 2 | 60.0 MPa | 62.64 MPa | 4.40 % |
Conclusion
CalculiX results are comparable with theoretical results.
