1st order linear - 3D truss

Tekla Structural Designer
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.

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