Shell03 – Curved Beam with Static Loads✔
Problem Description
In this example a curved cantilever beam, modeled with shell elements, is subjected to unit forces at the tip in the in-plane and out-of-plane directions, that is, the Y and Z directions, respectively. The in-plane and out-of-plane loads are applied in different load cases. The tip displacements in the direction of the load are compared with independent hand calculated results.
The geometry, properties and loading are as suggested in MacNeal and Harder 1985. The cantilever beam is bent into a 90° arc. It has a 4.12 inch inner radius and a 4.32 inch outer radius. Thus it is 0.2 inch wide and approximately 6.63 inch long at its centerline. The beam is 0.1 inch thick in the Y direction. For modeling in this model, the curved beam is meshed into six area objects, each subtending a 15° arc.
Tested Features
- Membrane analysis using shell elements
- Plate bending analysis using shell elements
- Joint force loading
App
Object Link: https://openbrim.org/objidyvjfs1i4x6jt71lko8u0f.project
Library
Object Link: https://openbrim.org/objiddykgrci7chnb70o0soybcn.libobj
Thin Plate Option and Thick Plate Option - DOC-92Getting issue details... STATUS
Model and Mesh | Load Case and Type | Output Parameter | OpenBrIM | SAP2000 | Independent | Percent Difference (SAP2000 vs Independent) | Percent Difference (OpenBrIM vs Independent) |
---|---|---|---|---|---|---|---|
Model A 6x1 mesh | Load case IN In-Plane | Uy, in Average of jts 7 and 14 | 0.0818 | 0.0773 | 0.0886 | -13% | 0% |
Model B 90x1 mesh | 0.0845 | -5% | 0% | ||||
Model C 90x3 mesh | 0.0879 | 0.0884 | 0% | 0% | |||
Model D 6x1 mesh with each of 6 objects submeshed 15x3 | 0.0887 | 0.0893 | 1% | 0% |
Thick Plate Option
Model and Mesh | Load Case and Type | Output Parameter | OpenBrIM | SAP2000 | Independent | Percent Difference (SAP2000 vs Independent) | Percent Difference (OpenBrIM vs Independent) |
---|---|---|---|---|---|---|---|
Model A 6x1 mesh | Load case OUT Out-of-Plane | Uz, in Average of jts 7 and 14 | 0.4518 | 0.4298 | 0.5004 (0.4546) | -14% (-5%) | -9% (0%) |
Model B 90x1 mesh | 0.4511 | 0.4566 | -9% (0%) | -9% (0%) | |||
Model C 90x3 mesh | 0.4509 | 0.4558 | -9% (0%) | -9% (0%) | |||
Model D 6x1 mesh with each of 6 objects submeshed 15x3 | 0.4524 | 0.4570 | -9% (1%) | -9% (0%) |