Effective Length of Column given Crippling Load by Euler's Formula Calculator

✖Modulus of Elasticity Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity Column [E]			+10% -10%
✖Moment of Inertia Column is the measure of the resistance of column to angular acceleration about a given axis.ⓘ Moment of Inertia Column [I]			+10% -10%
✖The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.ⓘ Euler’s Buckling Load [P_E]			+10% -10%

✖Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Effective Length of Column given Crippling Load by Euler's Formula [L_eff]

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Effective Length of Column given Crippling Load by Euler's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load))
L_eff = sqrt((pi^2*E*I)/(P_E))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 Column Length - (Measured in Meter) - Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
Modulus of Elasticity Column - (Measured in Pascal) - Modulus of Elasticity Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.
Moment of Inertia Column - (Measured in Meter⁴) - Moment of Inertia Column is the measure of the resistance of column to angular acceleration about a given axis.
Euler’s Buckling Load - (Measured in Newton) - The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity Column: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)
Moment of Inertia Column: 6800000 Millimeter⁴ --> 6.8E-06 Meter⁴ (Check conversion here)
Euler’s Buckling Load: 1491.407 Kilonewton --> 1491407 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_eff = sqrt((pi^2*E*I)/(P_E)) --> sqrt((pi^2*200000000000*6.8E-06)/(1491407))

Evaluating ... ...

L_eff = 2.99999988662624

STEP 3: Convert Result to Output's Unit

2.99999988662624 Meter -->2999.99988662624 Millimeter (Check conversion here)

FINAL ANSWER

2999.99988662624 ≈ 3000 Millimeter <-- Effective Column Length

(Calculation completed in 00.004 seconds)

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< Euler and Rankine's Theory Calculators

Crushing Load by Rankine's Formula

LaTeX Go Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load)

Crippling Load by Euler's Formula given Crippling Load by Rankine's

LaTeX Go Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)

Crippling Load by Rankine's

LaTeX Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)

Crushing Load given Ultimate Crushing Stress

LaTeX Go Crushing Load = Column Crushing Stress*Column Cross Sectional Area

< Crippling Load by Euler's Formula Calculators

Effective Length of Column given Crippling Load by Euler's Formula

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

Crippling Load by Euler's Formula given Crippling Load by Rankine's

LaTeX Go Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)

Modulus of Elasticity given Crippling Load by Euler's Formula

LaTeX Go Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)

Crippling Load by Euler's Formula

LaTeX Go Euler’s Buckling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)

Effective Length of Column given Crippling Load by Euler's Formula Formula

LaTeX Go

Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load))
L_eff = sqrt((pi^2*E*I)/(P_E))

What is Effective Length of a Column?

The Effective Length of a Column is the length between points of inflection (zero bending moment) in a buckling column. It represents the length of an equivalent pinned-pinned column that would buckle in the same manner as the actual column, taking into account the column's end support conditions.

How to Calculate Effective Length of Column given Crippling Load by Euler's Formula?

Effective Length of Column given Crippling Load by Euler's Formula calculator uses Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load)) to calculate the Effective Column Length, The Effective Length of Column given Crippling Load by Euler's Formula is defined as the maximum length of a column that can withstand a given crippling load without buckling, providing a critical load value for structural design and analysis in accordance with Euler's theory. Effective Column Length is denoted by L_eff symbol.

How to calculate Effective Length of Column given Crippling Load by Euler's Formula using this online calculator? To use this online calculator for Effective Length of Column given Crippling Load by Euler's Formula, enter Modulus of Elasticity Column (E), Moment of Inertia Column (I) & Euler’s Buckling Load (P_E) and hit the calculate button. Here is how the Effective Length of Column given Crippling Load by Euler's Formula calculation can be explained with given input values -> 3E+6 = sqrt((pi^2*200000000000*6.8E-06)/(1491407)).

FAQ

What is Effective Length of Column given Crippling Load by Euler's Formula?

The Effective Length of Column given Crippling Load by Euler's Formula is defined as the maximum length of a column that can withstand a given crippling load without buckling, providing a critical load value for structural design and analysis in accordance with Euler's theory and is represented as L_eff = sqrt((pi^2*E*I)/(P_E)) or Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load)). Modulus of Elasticity Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it, Moment of Inertia Column is the measure of the resistance of column to angular acceleration about a given axis & The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.

How to calculate Effective Length of Column given Crippling Load by Euler's Formula?

The Effective Length of Column given Crippling Load by Euler's Formula is defined as the maximum length of a column that can withstand a given crippling load without buckling, providing a critical load value for structural design and analysis in accordance with Euler's theory is calculated using Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load)). To calculate Effective Length of Column given Crippling Load by Euler's Formula, you need Modulus of Elasticity Column (E), Moment of Inertia Column (I) & Euler’s Buckling Load (P_E). With our tool, you need to enter the respective value for Modulus of Elasticity Column, Moment of Inertia Column & Euler’s Buckling Load 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 Column Length?

In this formula, Effective Column Length uses Modulus of Elasticity Column, Moment of Inertia Column & Euler’s Buckling Load. We can use 1 other way(s) to calculate the same, which is/are as follows -

Effective Column Length = sqrt((Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1)*(Least Radius of Gyration Column^2)/Rankine's Constant)

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