Calculate the slenderness ratio of a column or structural member.
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About this calculator
Quick Reference
KEffective length factor
LActual member length
rRadius of gyration (√(I/A))
λSlenderness Ratio
Overview
The slenderness ratio is a measure of how likely a column is to buckle. It is the ratio of the effective length of the column to its least radius of gyration.
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Pro Tips
Effective Length (Le) = K * L.
A higher slenderness ratio means the column is more likely to buckle under a compressive load.
K factors depend on end conditions (e.g., fixed-fixed: 0.5, pinned-pinned: 1.0, fixed-free: 2.0).
Short columns have low ratios; long columns have high ratios.
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Fun Facts
"The Eiffel Tower's base members have calculated slenderness ratios to ensure stability against wind and gravity."
"In residential construction, studs are braced to effectively reduce their slenderness ratio."
"Euler's buckling formula is used for columns with high slenderness ratios."
