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- Membrane analysis using shell elements
- Plate bending analysis using shell elements
- Effect of shell element aspect ratio
- Effect of geometrical distortion of shell element from rectangular
- Joint force loading
Result Comparision
Object Link: https://openbrim.org/objidar6uaao2nsj9p2bhe9ns5.project
GEOMETRY ON OPENBRIM
Model A-Rectangular Shaped Elements
Model B-Trapezoidal Shaped Elements
Model C- Parallelogram Shaped Elements
Model D –Triangular Shaped Elements (2 per Rectangle)
Model E –Triangular Shaped Elements (4 per Rectangle)
The independent results are hand calculated using the unit load method described on page 244 in Cook and Young 1985. In addition, the torsional stiffness of the section, J, is calculated using item 4 in Table 20 on page 290 in Roark and Young 1975. Independent results are also published in MacNeal and Harder 1985.
COMPARISION WITH INDEPENDENT RESULTS
| Load Case And Type | Model And Element Shape | Output Parameter | OpenBrIM | Independent | Percent Difference |
|---|---|---|---|---|---|
Axial Extension | A- Rectangle |
in | 0.00003 | 0.00003 | 0.00% |
| B - Trapezoid | 0.00003 | 0.00% | |||
| C - Parallelogram | 0.00003 | 0.00% | |||
| D - Triangle 2 | 0.00003 | 0.00% | |||
| E – Triangle 4 | 0.00003 | 0.00% | |||
Load case 2 In-plane shear and bending | A- Rectangle |
in | 0.09768 |
| -9.64% |
| B - Trapezoid | 0.08817 | -18.44% | |||
| C - Parallelogram | 0.09755 | -9.76% | |||
| D - Triangle 2 | 0.11573 | 7.06% | |||
| E – Triangle 4 | 0.00865 | -92.00% | |||
Load case 3 Out-of-plane shear and bending | A- Rectangle | Uy in | 0.43200 | 0.43210 | -2.31% |
| B - Trapezoid | 0.43227 | 3.93% | |||
| C - Parallelogram | 0.43219 | 2.08% | |||
| D - Triangle 2 | 0.42844 | -8.47% | |||
| E – Triangle 4 | 0.42900 | -7.18% |
| Load Case And Type | Model And Element Shape | Output Parameter | OpenBrIM | Independent | Percent Difference |
|---|---|---|---|---|---|
Load case 4 Twist | A- Rectangle |
in | 0.00233 | 0.00341 | -31.67% |
| B - Trapezoid | 0.00233 | -31.67% | |||
| C - Parallelogram | 0.00233 | -31.67% | |||
| D - Triangle 2 | 0.00219 | -35.78% | |||
| E – Triangle 4 | 0.00201 | -41.03% | |||
Load case 5 In-Plane Moment | A- Rectangle | Ux in | 0.00082 | 0.0009 | -8.89% |
| B - Trapezoid | 0.00074 | -17.78% | |||
| C - Parallelogram | 0.00082 | -8.89% | |||
| D - Triangle 2 | 0.00097 | 7.78% | |||
| E – Triangle 4 | 0.00007 | -92.22% | |||
Load case 6 Out-of-Plane Moment | A- Rectangle |
radians | 0.036 | 0.036 | 0.00% |
| B - Trapezoid | 0.036 | 0.00% | |||
| C - Parallelogram | 0.036 | 0.00% | |||
| D - Triangle 2 | 0.036 | 0.00% | |||
| E – Triangle 4 | 0.036 | 0.00% |
COMPARISION WITH SAP2000 RESULTS
| Load Case And Type | Model And Element Shape | Output Parameter | OpenBrIM | SAP2000 | Percent Difference |
|---|---|---|---|---|---|
Axial Extension | A- Rectangle |
in | 0.00003 | 0.00003 | 0.00% |
| B - Trapezoid | 0.00003 | 0.00003 | 0.00% | ||
| C - Parallelogram | 0.00003 | 0.00003 | 0.00% | ||
| D - Triangle 2 | 0.00003 | 0.00003 | 0.00% | ||
| E – Triangle 4 | 0.00003 | 0.00003 | 0.00% | ||
Load case 2 In-plane shear and bending | A- Rectangle |
in | 0.09768 | 0.1072 | -8.88% |
| B - Trapezoid | 0.08817 | 0.0227 | 74.26% | ||
| C - Parallelogram | 0.09755 | 0.0804 | 17.57% | ||
| D - Triangle 2 | 0.11573 | 0.0032 | 97.23% | ||
| E – Triangle 4 | 0.00865 | 0.0066 | 23.73% | ||
Load case 3 Out-of-plane shear and bending | A- Rectangle | Uy in | 0.43200 | 0.4320 | 0% |
| B - Trapezoid | 0.43227 | 0.4322 | 0% | ||
| C - Parallelogram | 0.43219 | 0.4322 | 0% | ||
| D - Triangle 2 | 0.42844 | 0.4296 | -0.27% | ||
| E – Triangle 4 | 0.42900 | 0.4314 | -0.056% |
| Load Case And Type | Model And Element Shape | Output Parameter | OpenBrIM | SAP2000 | Percent Difference |
|---|---|---|---|---|---|
Load case 4 Twist | A- Rectangle |
in | 0.00233 | 0.00233 | 0.02% |
| B - Trapezoid | 0.00233 | 0.00233 | 0.01% | ||
| C - Parallelogram | 0.00233 | 0.00233 | 0.01% | ||
| D - Triangle 2 | 0.00219 | 0.00231 | 0.64% | ||
| E – Triangle 4 | 0.00201 | 0.00230 | 0.23% | ||
Load case 5 In-Plane Moment | A- Rectangle | Ux in | 0.00082 | 8.990E-04 | -8.89% |
| B - Trapezoid | 0.00074 | 1.395E-04 | -81.2% | ||
| C - Parallelogram | 0.00082 | 7.225E-04 | 10.94% | ||
| D - Triangle 2 | 0.00097 | 0.265E-04 | 7.78% | ||
| E – Triangle 4 | 0.00007 | 0.550E-04 | 97.27% | ||
Load case 6 Out-of-Plane Moment | A- Rectangle |
radians | 0.036 | 0.036 | 0.00% |
| B - Trapezoid | 0.036 | 0.036 | 0.00% | ||
| C - Parallelogram | 0.036 | 0.036 | 0.00% | ||
| D - Triangle 2 | 0.036 | 0.036 | 0.00% | ||
| E – Triangle 4 | 0.036 | 0.036 | 0.00% |