1st order linear - 3D truss
2020
Tekla Structural Designer
1st order linear - 3D truss
Problem definition
Three truss members with equal and uniform EA support an applied load of -50 applied at the coordinate (4, 2, 6). The start of each truss member is fixed and are located at (0, 0, 0), (8, 0, 0) and (0, 6, 0) respectively. Calculate the axial force in each element.
Key results
The results for this problem are compared against those published by Beer and Johnston, and against another independent analysis package.
| Result | Beer and Johnston | Comparison 1 | Solver value | % error |
|---|---|---|---|---|
| (0, 0, 0) - (4, 2, -6) | 10.4 | 10.4 | 10.4 | 0.00 % |
| (8, 0, 0) - (4, 2, -6) | 31.2 | 31.2 | 31.2 | 0.00 % |
| (0, 6, 0) - (4, 2, -6) | 22.9 | 22.9 | 22.9 | 0.00 % |
Conclusion
An exact match is observed between the values reported by the solver and those reported by Beer and Johnston.