Actual Length given Slenderness Ratio Calculator

✖The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio [λ]			+10% -10%
✖Least radius of gyration of column is a critical parameter in structural engineering, representing the smallest radius of gyration among all possible axes of the column’s cross-section.ⓘ Least Radius of Gyration of Column [r]			+10% -10%

✖Length of column refers to the distance between its two ends, a crucial factor in determining the column’s behavior under load, particularly its susceptibility to buckling.ⓘ Actual Length given Slenderness Ratio [L]

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Actual Length given Slenderness Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Column = Slenderness Ratio*Least Radius of Gyration of Column
L = λ*r
This formula uses 3 Variables

Variables Used

Length of Column - (Measured in Meter) - Length of column refers to the distance between its two ends, a crucial factor in determining the column’s behavior under load, particularly its susceptibility to buckling.
Slenderness Ratio - The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
Least Radius of Gyration of Column - (Measured in Meter) - Least radius of gyration of column is a critical parameter in structural engineering, representing the smallest radius of gyration among all possible axes of the column’s cross-section.

STEP 1: Convert Input(s) to Base Unit

Slenderness Ratio: 100 --> No Conversion Required
Least Radius of Gyration of Column: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = λ*r --> 100*0.05

Evaluating ... ...

L = 5

STEP 3: Convert Result to Output's Unit

5 Meter -->5000 Millimeter (Check conversion here)

FINAL ANSWER

5000 Millimeter <-- Length of Column

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Estimation of Effective Length of Columns Calculators

Actual Length given Slenderness Ratio

LaTeX Go Length of Column = Slenderness Ratio*Least Radius of Gyration of Column

Actual Length of Column given Effective Length if One End is Fixed Other is Hinged

LaTeX Go Length of Column = sqrt(2)*Effective Length of Column

Actual Length of Column given Effective Length if One End is Fixed Other is Free

LaTeX Go Length of Column = Effective Length of Column/2

Actual Length of Column given Effective Length if Both Ends of Column are Fixed

LaTeX Go Length of Column = 2*Effective Length of Column

< Actual Length Calculators

Actual Length given Slenderness Ratio

LaTeX Go Length of Column = Slenderness Ratio*Least Radius of Gyration of Column

Actual Length of Column given Effective Length if One End is Fixed Other is Hinged

LaTeX Go Length of Column = sqrt(2)*Effective Length of Column

Actual Length of Column given Effective Length if One End is Fixed Other is Free

LaTeX Go Length of Column = Effective Length of Column/2

Actual Length of Column given Effective Length if Both Ends of Column are Fixed

LaTeX Go Length of Column = 2*Effective Length of Column

Actual Length given Slenderness Ratio Formula

LaTeX Go

Length of Column = Slenderness Ratio*Least Radius of Gyration of Column
L = λ*r

What is Ultimate Compressive Strength?

Ultimate Compressive Strength is defined as the force at which a specimen with a certain cross-section, and consisting of a particular fracturing material, fails when it is subjected to compression. The ultimate compressive strength is normally measured in N/mm2 (force per area) and is thus stress.

How to Calculate Actual Length given Slenderness Ratio?

Actual Length given Slenderness Ratio calculator uses Length of Column = Slenderness Ratio*Least Radius of Gyration of Column to calculate the Length of Column, The Actual Length given Slenderness Ratio is defined as the distance between two points where a column gets its fixity of support so its movement is restrained in all directions. Length of Column is denoted by L symbol.

How to calculate Actual Length given Slenderness Ratio using this online calculator? To use this online calculator for Actual Length given Slenderness Ratio, enter Slenderness Ratio (λ) & Least Radius of Gyration of Column (r) and hit the calculate button. Here is how the Actual Length given Slenderness Ratio calculation can be explained with given input values -> 5E+6 = 100*0.05.

FAQ

What is Actual Length given Slenderness Ratio?

The Actual Length given Slenderness Ratio is defined as the distance between two points where a column gets its fixity of support so its movement is restrained in all directions and is represented as L = λ*r or Length of Column = Slenderness Ratio*Least Radius of Gyration of Column. The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section & Least radius of gyration of column is a critical parameter in structural engineering, representing the smallest radius of gyration among all possible axes of the column’s cross-section.

How to calculate Actual Length given Slenderness Ratio?

The Actual Length given Slenderness Ratio is defined as the distance between two points where a column gets its fixity of support so its movement is restrained in all directions is calculated using Length of Column = Slenderness Ratio*Least Radius of Gyration of Column. To calculate Actual Length given Slenderness Ratio, you need Slenderness Ratio (λ) & Least Radius of Gyration of Column (r). With our tool, you need to enter the respective value for Slenderness Ratio & Least Radius of Gyration of Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Column?

In this formula, Length of Column uses Slenderness Ratio & Least Radius of Gyration of Column. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Column = 2*Effective Length of Column
Length of Column = Effective Length of Column/2
Length of Column = sqrt(2)*Effective Length of Column

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