# OS-V: 0020 Cylinder Shell Patch

Test No. LE2 OptiStruct examines the outer surface tangential stress $\theta \text{}-\text{}\theta $ at point E for linear static analysis.

## Benchmark Model

Quad8 elements are used to create a mesh on the cylindrical patch with 4 elements for the load case 1 and Quad4 elements are used to create a mesh with 16 elements for the load case 2. All the translations and rotations are constrained at edge AB, z-translation and normal rotations are constrained at the edges AD and BC. For Load case 1 a uniform normal edge moment of 1.0 kNm/m is applied on the edge DC and for the Load case 2, uniform outward normal pressure of 0.6 MPa is applied on the mid surface ABCD and a tangential outward normal pressure of 60.0 MPa is applied on edge DC.

**Material Properties****Value**- Young's Modulus
- 210 x 10
^{3}MPa - Poisson's Ratio
- 0.3

## Linear Static Analysis Results

Surface Tangential Stress $\theta \text{}-\text{}\theta $ at Point E (MPa) | Normalized with the Target Value | |
---|---|---|

Load Case 1: Quad8 | 58.03 | 1.033947958 |

Load Case 2: Quad4 | 58.92 | 1.018329939 |

## Model Files

Refer to Access the Model Files to download the required model file(s).

- le2quad8lc1.fem
- le2quad4lc2.fem

## Reference

NAFEMS R0015 - Selected benchmarks for natural frequency analysis