Moment of Inertia given Crippling Load by Euler's Formula Calculator

✖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 Column Length [L_eff]			+10% -10%
✖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 given Crippling Load by Euler's Formula [I]

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Moment of Inertia given Crippling Load by Euler's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Euler’s Buckling Load: 1491.407 Kilonewton --> 1491407 Newton (Check conversion here)
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)
Modulus of Elasticity Column: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (P_E*L_eff^2)/(pi^2*E) --> (1491407*3^2)/(pi^2*200000000000)

Evaluating ... ...

I = 6.80000051396106E-06

STEP 3: Convert Result to Output's Unit

6.80000051396106E-06 Meter⁴ -->6800000.51396106 Millimeter⁴ (Check conversion here)

FINAL ANSWER

6800000.51396106 ≈ 6.8E+6 Millimeter⁴ <-- Moment of Inertia Column

(Calculation completed in 00.007 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)

Moment of Inertia given Crippling Load by Euler's Formula Formula

LaTeX Go

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

What is Moment of Inertia?

The Moment of Inertia (I), also known as the second moment of area, is a geometric property of a cross-section that quantifies its resistance to bending and torsion. It plays a crucial role in structural and mechanical engineering, particularly in analyzing beams and other load-bearing structures.

How to Calculate Moment of Inertia given Crippling Load by Euler's Formula?

Moment of Inertia given Crippling Load by Euler's Formula calculator uses Moment of Inertia Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column) to calculate the Moment of Inertia Column, The Moment of Inertia given Crippling Load by Euler's Formula is defined as a measure of an object's resistance to changes in its rotation, calculated based on the crippling load and effective length, providing valuable insights into the structural integrity of columns and beams in accordance with Euler's theory. Moment of Inertia Column is denoted by I symbol.

How to calculate Moment of Inertia given Crippling Load by Euler's Formula using this online calculator? To use this online calculator for Moment of Inertia given Crippling Load by Euler's Formula, enter Euler’s Buckling Load (P_E), Effective Column Length (L_eff) & Modulus of Elasticity Column (E) and hit the calculate button. Here is how the Moment of Inertia given Crippling Load by Euler's Formula calculation can be explained with given input values -> 6.8E+18 = (1491407*3^2)/(pi^2*200000000000).

FAQ

What is Moment of Inertia given Crippling Load by Euler's Formula?

The Moment of Inertia given Crippling Load by Euler's Formula is defined as a measure of an object's resistance to changes in its rotation, calculated based on the crippling load and effective length, providing valuable insights into the structural integrity of columns and beams in accordance with Euler's theory and is represented as I = (P_E*L_eff^2)/(pi^2*E) or Moment of Inertia Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column). The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend, 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 is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.

How to calculate Moment of Inertia given Crippling Load by Euler's Formula?

The Moment of Inertia given Crippling Load by Euler's Formula is defined as a measure of an object's resistance to changes in its rotation, calculated based on the crippling load and effective length, providing valuable insights into the structural integrity of columns and beams in accordance with Euler's theory is calculated using Moment of Inertia Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column). To calculate Moment of Inertia given Crippling Load by Euler's Formula, you need Euler’s Buckling Load (P_E), Effective Column Length (L_eff) & Modulus of Elasticity Column (E). With our tool, you need to enter the respective value for Euler’s Buckling Load, Effective Column Length & Modulus of Elasticity Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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