Eigenvalue buckling due to horizontal load
Eigenvalue buckling due to horizontal load
(OP)
All textbooks I found explains how to formulate matrices for columns under axial loads, and the results matches the analysis of commercial software like Ansys.
However, I found that Ansys can calculate "Eigenvalue" buckling load for a column loaded with a horizontal force only! I wonder if anyone can give me a hint about how this is done.
Thanks.
However, I found that Ansys can calculate "Eigenvalue" buckling load for a column loaded with a horizontal force only! I wonder if anyone can give me a hint about how this is done.
Thanks.





RE: Eigenvalue buckling due to horizontal load
RE: Eigenvalue buckling due to horizontal load
RE: Eigenvalue buckling due to horizontal load
a simple compression column isn't going to react to transverse loads.
A column with bending stiffness will react transverse loads (in bending) and the column can buckle under compression stresses. I don't know if that is hand calc-able.
another day in paradise, or is paradise one day closer ?
RE: Eigenvalue buckling due to horizontal load
George Papazafeiropoulos
RE: Eigenvalue buckling due to horizontal load
RE: Eigenvalue buckling due to horizontal load
RE: Eigenvalue buckling due to horizontal load
Regarding the OP's question about trying to recreate the horizontal buckling solution with a hand calculation. I don't think there is any traditional hand calculation to arrive at a similar solution. This was implied by a few replies here, but I don't think it's be said directly. But this isn't a failure mode that you should need to worry about because a horizontal load on a column would produce a bending or shear failure before any buckling would occur.
That being said. Buckling isn't just a pure compression phenomenon, depending on the type of structure. For example thin plates can experience local buckling under bending or shear loads. See the excerpt from Bruhn's "Analysis & Design of Flight Vehicle Structures" focusing on Fig. C5.12 and Fig. C5.14. (This small except is shared for educational use only. #FairUse)
Bruhn is a REALLY good book for anyone analyzing mechanical structures. Highly recommended purchase.