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Actual Length given Slenderness Ratio Formula

GoActual Length of Column given Effective Length if Both Ends of Column are Fixed Formula

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

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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. Check FAQs

L = λ \cdot r

L - Length of Column?λ - Slenderness Ratio?r - Least Radius of Gyration of Column?

Actual Length given Slenderness Ratio Example

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

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

Here is how the Actual Length given Slenderness Ratio equation looks like.

5000 = 100 \cdot 50

5000mm = 100 \cdot 50mm

5000 = 100 \cdot 50

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Actual Length given Slenderness Ratio Solution

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

FIRST Step Consider the formula

L = λ \cdot r

Next Step Substitute values of Variables

∴

L = 100 \cdot 50mm

Next Step Convert Units

∴

L = 100 \cdot 0.05m

Next Step Prepare to Evaluate

∴

L = 100 \cdot 0.05

Next Step Evaluate

∴

L = 5m

LAST Step Convert to Output's Unit

∴

L = 5000mm

Actual Length given Slenderness Ratio Formula Elements

Variables

Length of Column

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.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Column

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 should be greater than 0.

Formulas to find Slenderness Ratio

Least Radius of Gyration of Column

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.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Least Radius of Gyration of Column

Other Formulas to find Length of Column

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

L = 2 \cdot L e

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

L = \frac{L e}{2}

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

L = \sqrt{2} \cdot L e

How to Evaluate Actual Length given Slenderness Ratio?

Actual Length given Slenderness Ratio evaluator uses Length of Column = Slenderness Ratio*Least Radius of Gyration of Column to evaluate 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 evaluate Actual Length given Slenderness Ratio using this online evaluator? To use this online evaluator for Actual Length given Slenderness Ratio, enter Slenderness Ratio (λ) & Least Radius of Gyration of Column (r) and hit the calculate button.

FAQs on Actual Length given Slenderness Ratio

What is the formula to find Actual Length given Slenderness Ratio?

The formula of Actual Length given Slenderness Ratio is expressed as Length of Column = Slenderness Ratio*Least Radius of Gyration of Column. Here is an example- 5E+6 = 100*0.05.

How to calculate Actual Length given Slenderness Ratio?

With Slenderness Ratio (λ) & Least Radius of Gyration of Column (r) we can find Actual Length given Slenderness Ratio using the formula - Length of Column = Slenderness Ratio*Least Radius of Gyration of Column.

What are the other ways to Calculate Length of Column?

Here are the different ways to Calculate Length of Column-

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

Can the Actual Length given Slenderness Ratio be negative?

No, the Actual Length given Slenderness Ratio, measured in Length cannot be negative.

Which unit is used to measure Actual Length given Slenderness Ratio?

Actual Length given Slenderness Ratio is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Actual Length given Slenderness Ratio can be measured.

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Actual Length given Slenderness Ratio Formula

​GoActual Length of Column given Effective Length if Both Ends of Column are Fixed Formula

​GoActual Length of Column given Effective Length if One End is Fixed Other is Free Formula

Actual Length given Slenderness Ratio Example

Actual Length given Slenderness Ratio Solution

Actual Length given Slenderness Ratio Formula Elements

Other Formulas to find Length of Column

How to Evaluate Actual Length given Slenderness Ratio?

FAQs on Actual Length given Slenderness Ratio

Variable Name

GoActual Length of Column given Effective Length if Both Ends of Column are Fixed Formula

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