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

✖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.ⓘ Length of Column [L]

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Column: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_e = L/(sqrt(2)) --> 5/(sqrt(2))

Evaluating ... ...

L_e = 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 <-- Effective Length of Column

(Calculation completed in 00.004 seconds)

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< Estimation of Effective Length of Columns Calculators

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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

< Effective Length Calculators

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

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

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

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

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

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

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

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

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

LaTeX Go

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

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

Effective Length of Column given Actual Length if One End is Fixed Other is Hinged calculator uses Effective Length of Column = Length of Column/(sqrt(2)) to calculate the Effective Length of Column, Effective Length of Column given Actual Length if One End is Fixed Other is Hinged formula is defined as the length of a column that takes into account the end conditions, specifically when one end is fixed and the other is hinged, which affects the column's stability and load-carrying capacity. Effective Length of Column is denoted by L_e symbol.

How to calculate Effective Length of Column given Actual Length if One End is Fixed Other is Hinged using this online calculator? To use this online calculator for Effective Length of Column given Actual Length if One End is Fixed Other is Hinged, enter Length of Column (L) and hit the calculate button. Here is how the Effective Length of Column given Actual Length if One End is Fixed Other is Hinged calculation can be explained with given input values -> 3.5E+6 = 5/(sqrt(2)).

FAQ

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

Effective Length of Column given Actual Length if One End is Fixed Other is Hinged formula is defined as the length of a column that takes into account the end conditions, specifically when one end is fixed and the other is hinged, which affects the column's stability and load-carrying capacity and is represented as L_e = L/(sqrt(2)) or Effective Length of Column = Length of Column/(sqrt(2)). 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.

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

Effective Length of Column given Actual Length if One End is Fixed Other is Hinged formula is defined as the length of a column that takes into account the end conditions, specifically when one end is fixed and the other is hinged, which affects the column's stability and load-carrying capacity is calculated using Effective Length of Column = Length of Column/(sqrt(2)). To calculate Effective Length of Column given Actual Length if One End is Fixed Other is Hinged, you need Length of Column (L). With our tool, you need to enter the respective value for 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 Effective Length of Column?

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

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

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