Continuous Lateral Support force for column??

[Serhiy]

Good day,

I'm looking to find out how to calculate force acting on continuous lateral support of the column against buckling due to axial load acting on a column. Any help is appreciated. Thanks

 

[BridgeSmith]

If you're looking for the lateral force required to keep the column straight, it's theoretically zero, as long as the column is straight. Lateral force develops as a result of what is generally referred to as a P-delta effect. As the name implies, it's the product of the axial load (P) multiplied by the eccentricity (delta). How much of the force is resisted internally by the column and how much is resisted externally by the bracing depends on the relative stiffness of each component in the direction of the force (eccentricity).

 

[Hokie93]

This is addressed in Chapter 12.6 of the "Guide to Stability Design Criteria for Metal Structures", sixth edition, by Ziemian (editor). It is also covered in "Theory of Elastic Stability" by Timoshenko and Gere.