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Slenderness Ratio Formula

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The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section. Check FAQs

λ = \frac{L eff}{r}

λ - Slenderness Ratio?L_eff - Effective Length?r - Least Radius of Gyration?

Slenderness Ratio Example

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Here is how the Slenderness Ratio equation looks like with Values.

Here is how the Slenderness Ratio equation looks like with Units.

Here is how the Slenderness Ratio equation looks like.

335 = \frac{50.25}{0.15}

335 = \frac{50.25m}{0.15m}

335 = \frac{50.25}{0.15}

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Slenderness Ratio Solution

Follow our step by step solution on how to calculate Slenderness Ratio?

FIRST Step Consider the formula

λ = \frac{L eff}{r}

Next Step Substitute values of Variables

∴

λ = \frac{50.25m}{0.15m}

Next Step Prepare to Evaluate

∴

λ = \frac{50.25}{0.15}

LAST Step Evaluate

∴

λ = 335

Slenderness Ratio Formula Elements

Variables

Slenderness Ratio

The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slenderness Ratio

Effective Length

The Effective Length is the length which resists against buckling.

Symbol: L_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Length

Least Radius of Gyration

The Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Least Radius of Gyration

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Go Elongation of Prismatic Bar due to its Own Weight

∆ = \frac{2 \cdot W load \cdot L bar}{A \cdot e}

How to Evaluate Slenderness Ratio?

Slenderness Ratio evaluator uses Slenderness Ratio = Effective Length/Least Radius of Gyration to evaluate the Slenderness Ratio, The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.The larger the slenderness ratio, the less strength there is in a column. Slenderness Ratio is denoted by λ symbol.

How to evaluate Slenderness Ratio using this online evaluator? To use this online evaluator for Slenderness Ratio, enter Effective Length (L_eff) & Least Radius of Gyration (r) and hit the calculate button.

FAQs on Slenderness Ratio

What is the formula to find Slenderness Ratio?

The formula of Slenderness Ratio is expressed as Slenderness Ratio = Effective Length/Least Radius of Gyration. Here is an example- 335 = 50.25/0.15.

How to calculate Slenderness Ratio?

With Effective Length (L_eff) & Least Radius of Gyration (r) we can find Slenderness Ratio using the formula - Slenderness Ratio = Effective Length/Least Radius of Gyration.

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