The ratio of the effective length of a column (Le) and the least radius of gyration (r) about the axis under consideration are known as the Slenderness ratio. It is indicated by the “λ” (lambda).
The slenderness ratio is called about the minor axis of cross-section and major axis of the cross-section.
- Effective slenderness ratio of the section about the minor axis of cross-section = Le/ry.
- Effective slenderness ratio of the section about the major axis of cross-section = Le/rx.
Importance of Slenderness Ratio:
As the slenderness ratio increases, permissible stress or critical stress decrease. Therefore, load-carrying capacity is also reduced.
- The radius of gyration will be least along the major axis of the cross-section.
- For a given area, the Tubular section will have a maximum radius of gyration.
- H-Section is more efficient than I-Section.
Iy = Imin (Column buckles about the y-axis)
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Frequently Asked Question
What is the slenderness ratio formula?
The slenderness ratio is determined by dividing the column length by the radius of gyration. The slenderness ratio differentiates short columns from long or slender columns.
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