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

✖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.ⓘ Effective Length of Column [L_e]

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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.ⓘ Actual Length of Column given Effective Length if One End is Fixed Other is Hinged [L]

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Column = sqrt(2)*Effective Length of Column
L = sqrt(2)*L_e
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Effective Length of Column - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Effective Length of Column: 2500 Millimeter --> 2.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = sqrt(2)*L_e --> sqrt(2)*2.5

Evaluating ... ...

L = 3.53553390593274

STEP 3: Convert Result to Output's Unit

3.53553390593274 Meter -->3535.53390593274 Millimeter (Check conversion here)

FINAL ANSWER

3535.53390593274 ≈ 3535.534 Millimeter <-- Length of Column

(Calculation completed in 00.006 seconds)

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< Estimation of Effective Length of Columns Calculators

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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

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

LaTeX Go

Length of Column = sqrt(2)*Effective Length of Column
L = sqrt(2)*L_e

What is meant by Effective Length of a Column also define Slenderness Ratio?

The effective length of the column is the length of an equivalent column of the same material and cross-sectional area with hinged ends and having the value of the crippling load equal to that of the given column. The least radius of gyration is the radius of gyration where the least moment of inertia is considered.

How to Calculate Actual Length of Column given Effective Length if One End is Fixed Other is Hinged?

Actual Length of Column given Effective Length if One End is Fixed Other is Hinged calculator uses Length of Column = sqrt(2)*Effective Length of Column to calculate the Length of Column, Actual Length of Column given Effective Length if One End is Fixed Other is Hinged formula is defined as a measure of the actual length of a column when one end is fixed and the other is hinged, which is essential in structural analysis to determine the stability and strength of columns in various engineering applications. Length of Column is denoted by L symbol.

How to calculate Actual Length of Column given Effective Length if One End is Fixed Other is Hinged using this online calculator? To use this online calculator for Actual Length of Column given Effective Length if One End is Fixed Other is Hinged, enter Effective Length of Column (L_e) and hit the calculate button. Here is how the Actual Length of Column given Effective Length if One End is Fixed Other is Hinged calculation can be explained with given input values -> 3.5E+6 = sqrt(2)*2.5.

FAQ

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

Actual Length of Column given Effective Length if One End is Fixed Other is Hinged formula is defined as a measure of the actual length of a column when one end is fixed and the other is hinged, which is essential in structural analysis to determine the stability and strength of columns in various engineering applications and is represented as L = sqrt(2)*L_e or Length of Column = sqrt(2)*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.

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

Actual Length of Column given Effective Length if One End is Fixed Other is Hinged formula is defined as a measure of the actual length of a column when one end is fixed and the other is hinged, which is essential in structural analysis to determine the stability and strength of columns in various engineering applications is calculated using Length of Column = sqrt(2)*Effective Length of Column. To calculate Actual Length of Column given Effective Length if One End is Fixed Other is Hinged, you need Effective Length of Column (L_e). With our tool, you need to enter the respective value for Effective Length 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 Effective Length of Column. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Column = Slenderness Ratio*Least Radius of Gyration of Column
Length of Column = 2*Effective Length of Column
Length of Column = Effective Length of Column/2

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