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# Slenderness Ratio

Module by: Michael Terk. E-mail the author

Summary: (Blank Abstract)

## Definition

Definition 1: Slenderness ratio
The ratio of the effective length of a column to the radius of gyration of the column, both with respect to the same axis of bending

Manual of Steel Construction Third Edition -- AISC, 2001.

In algebra form, the slenderness ratio is:

KLr K L r
(1)

## More on the topic

The variable that governs F cr F cr is the slenderness ratio. The larger the slenderness ratio, the less strength there is in a column. This means the capacity decreases as the slenderness ratio increases.

The AISC recommendation from section B7 are:

KLr200 K L r 200
(2)

## Where you see slenderness ratio

The slenderness ratio shows up when comparing the strength of columns and more specifically in the design strength formula variable, λ c λ c :

λ c =KLrπ F y E λ c K L r F y E
(3)

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