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Slenderness Ratio Calculator

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Stress and Strain Strain Stress

✖The Effective Length is the length which resists against buckling.ⓘ Effective Length [L_eff]			+10% -10%
✖The Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration [r]			+10% -10%

✖Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio [λ]

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Slenderness Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slenderness Ratio = Effective Length/Least Radius of Gyration
λ = L_eff/r
This formula uses 3 Variables

Variables Used

Slenderness Ratio - Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
Effective Length - (Measured in Meter) - The Effective Length is the length which resists against buckling.
Least Radius of Gyration - (Measured in Meter) - The Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.

STEP 1: Convert Input(s) to Base Unit

Effective Length: 1.98 Meter --> 1.98 Meter No Conversion Required
Least Radius of Gyration: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = L_eff/r --> 1.98/3.5

Evaluating ... ...

λ = 0.565714285714286

STEP 3: Convert Result to Output's Unit

0.565714285714286 --> No Conversion Required

FINAL ANSWER

0.565714285714286 ≈ 0.565714 <-- Slenderness Ratio

(Calculation completed in 00.020 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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Osmania University (OU), Hyderabad

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Slenderness Ratio Formula

LaTeX Go

Slenderness Ratio = Effective Length/Least Radius of Gyration
λ = L_eff/r

What is Slenderness Ratio?

Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section. Often denoted by lambda.It is used extensively for finding out the design load as well as in classifying various columns in short/intermediate/long.

How to Calculate Slenderness Ratio?

Slenderness Ratio calculator uses Slenderness Ratio = Effective Length/Least Radius of Gyration to calculate the Slenderness Ratio, The Slenderness Ratio formula is defined as a measure of the ratio of the effective length of a column to its least radius of gyration, providing a way to quantify the tendency of a column to buckle under compressive loads, which is critical in understanding the behavior of columns under various stress and strain conditions. Slenderness Ratio is denoted by λ symbol.

How to calculate Slenderness Ratio using this online calculator? To use this online calculator for Slenderness Ratio, enter Effective Length (L_eff) & Least Radius of Gyration (r) and hit the calculate button. Here is how the Slenderness Ratio calculation can be explained with given input values -> 13.2 = 1.98/3.5.

FAQ

What is Slenderness Ratio?

The Slenderness Ratio formula is defined as a measure of the ratio of the effective length of a column to its least radius of gyration, providing a way to quantify the tendency of a column to buckle under compressive loads, which is critical in understanding the behavior of columns under various stress and strain conditions and is represented as λ = L_eff/r or Slenderness Ratio = Effective Length/Least Radius of Gyration. The Effective Length is the length which resists against buckling & The Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.

How to calculate Slenderness Ratio?

The Slenderness Ratio formula is defined as a measure of the ratio of the effective length of a column to its least radius of gyration, providing a way to quantify the tendency of a column to buckle under compressive loads, which is critical in understanding the behavior of columns under various stress and strain conditions is calculated using Slenderness Ratio = Effective Length/Least Radius of Gyration. To calculate Slenderness Ratio, you need Effective Length (L_eff) & Least Radius of Gyration (r). With our tool, you need to enter the respective value for Effective Length & Least Radius of Gyration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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