2nd order buckling - Euler strut buckling

Tekla Structural Designer
2021
Tekla Structural Designer

2nd order buckling - Euler strut buckling

Problem definition

A 10 long simply supported beam is subjected to an axial tip load of P.

Assumptions

Shear deformations are excluded. The number of internal nodes varies from 0-5.

Key results

The theoretical value for the first buckling mode is calculated using the Euler strut buckling formula:

With P = -1.0 the following buckling factors are obtained

No. internal nodes Solver value % error
0 12.000 21.59 %
1 9.944 0.75 %
2 9.885 0.16 %
3 9.875 0.05 %
4 9.872 0.02 %
5 9.871 0.01 %

Conclusion

As the element is subdivided the result converges to the correct theoretical value.

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