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

GoEffective Length of Column given Actual Length if Both Ends of Column are Fixed Formula

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

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Effective length of column is the length of an equivalent pin-ended column that has the same load-carrying capacity as the actual column under consideration. Check FAQs

L e = 2 \cdot L

L_e - Effective Length of Column?L - Length of Column?

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

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Here is how the Effective Length of Column given Actual Length if One End is Fixed Other is Free equation looks like with Values.

Here is how the Effective Length of Column given Actual Length if One End is Fixed Other is Free equation looks like with Units.

Here is how the Effective Length of Column given Actual Length if One End is Fixed Other is Free equation looks like.

10000 = 2 \cdot 5000

10000mm = 2 \cdot 5000mm

10000 = 2 \cdot 5000

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

Follow our step by step solution on how to calculate Effective Length of Column given Actual Length if One End is Fixed Other is Free?

FIRST Step Consider the formula

L e = 2 \cdot L

Next Step Substitute values of Variables

∴

L e = 2 \cdot 5000mm

Next Step Convert Units

∴

L e = 2 \cdot 5m

Next Step Prepare to Evaluate

∴

L e = 2 \cdot 5

Next Step Evaluate

∴

L e = 10m

LAST Step Convert to Output's Unit

∴

L e = 10000mm

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

Variables

Effective Length of Column

Effective length of column is the length of an equivalent pin-ended column that has the same load-carrying capacity as the actual column under consideration.

Symbol: L_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Length of Column

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

Other Formulas to find Effective Length of Column

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

L e = \frac{L}{2}

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

L e = \frac{L}{\sqrt{2}}

Go Effective Length of Column given Crippling Load for any type of End Condition

L e = \sqrt{\frac{π^{2} \cdot ε c \cdot I}{P cr}}

Go Effective Length of Column given Crippling Stress

L e = \sqrt{\frac{π^{2} \cdot ε c \cdot r^{2}}{σ crippling}}

Other formulas in Estimation of Effective Length of Columns category

Go Radius of Gyration given Effective Length and Crippling Load

r = \sqrt{\frac{P cr \cdot {L e}^{2}}{π^{2} \cdot ε c \cdot A}}

How to Evaluate Effective Length of Column given Actual Length if One End is Fixed Other is Free?

Effective Length of Column given Actual Length if One End is Fixed Other is Free evaluator uses Effective Length of Column = 2*Length of Column to evaluate the Effective Length of Column, Effective Length of Column given Actual Length if One End is Fixed Other is Free formula is defined as the length of a column that is equivalent to a fixed-free column, which is used to calculate the buckling load of a column in structural analysis, taking into account the end conditions that affect its stability. Effective Length of Column is denoted by L_e symbol.

How to evaluate Effective Length of Column given Actual Length if One End is Fixed Other is Free using this online evaluator? To use this online evaluator for Effective Length of Column given Actual Length if One End is Fixed Other is Free, enter Length of Column (L) and hit the calculate button.

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

What is the formula to find Effective Length of Column given Actual Length if One End is Fixed Other is Free?

The formula of Effective Length of Column given Actual Length if One End is Fixed Other is Free is expressed as Effective Length of Column = 2*Length of Column. Here is an example- 1E+7 = 2*5.

How to calculate Effective Length of Column given Actual Length if One End is Fixed Other is Free?

With Length of Column (L) we can find Effective Length of Column given Actual Length if One End is Fixed Other is Free using the formula - Effective Length of Column = 2*Length of Column.

What are the other ways to Calculate Effective Length of Column?

Here are the different ways to Calculate Effective Length of Column-

Effective Length of Column=Length of Column/2
Effective Length of Column=Length of Column/(sqrt(2))
Effective Length of Column=sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load))

Can the Effective Length of Column given Actual Length if One End is Fixed Other is Free be negative?

No, the Effective Length of Column given Actual Length if One End is Fixed Other is Free, measured in Length cannot be negative.

Which unit is used to measure Effective Length of Column given Actual Length if One End is Fixed Other is Free?

Effective Length of Column given Actual Length if One End is Fixed Other is Free is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Effective Length of Column given Actual Length if One End is Fixed Other is Free can be measured.

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