Columns that tends to buckle are ideally straight and relatively long and slender. If a compression member is so short, the normal failure analysis must be used rather than the method that we're going to discuss in this post.
How will we know when a member is long and slender?
The tendency for a column to buckle is dependent on the shape and the dimensions of its cross section and how it is supported.
If we take a look at the cross section of the column, the followings are important properties for buckling.
- The cross sectional area, A.
- The moment of inertia of the cross section, I, with respect to the axis about which the value of I is minimum.
- The least value of the radius of gyration of the cross section, r.
r = sqrt(I/A)
A column tends to buckle about the axis for which the radius of gyration and the moment of inertia are minimum.
Let's explore more in the next post and make excel sheet to calculate.