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Definition

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

In algebra form, the slenderness ratio is:

K L r

More on the topic

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

The AISC recommendation from section B7 are:

K L r 200

Where you see slenderness ratio

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

λ c K L r F y E

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Source:  OpenStax, Steel design (civi 306). OpenStax CNX. Jan 22, 2004 Download for free at http://cnx.org/content/col10153/1.3
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