Modulus of Elasticity 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%
✖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%

✖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 given Crippling Load by Euler's Formula [E]

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Modulus of Elasticity given Crippling Load by Euler's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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)
Moment of Inertia Column: 6800000 Millimeter⁴ --> 6.8E-06 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (P_E*L_eff^2)/(pi^2*I) --> (1491407*3^2)/(pi^2*6.8E-06)

Evaluating ... ...

E = 200000015116.502

STEP 3: Convert Result to Output's Unit

200000015116.502 Pascal -->200000.015116502 Megapascal (Check conversion here)

FINAL ANSWER

200000.015116502 ≈ 200000 Megapascal <-- Modulus of Elasticity Column

(Calculation completed in 00.051 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)

Modulus of Elasticity given Crippling Load by Euler's Formula Formula

LaTeX Go

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

What is Young Modulus of Elasticity?

The Young's Modulus of Elasticity (E), commonly referred to as Young's Modulus, is a fundamental mechanical property that measures the stiffness or elasticity of a material. It defines the relationship between stress (force per unit area) and strain (deformation in response to stress) in a material under tension or compression within the elastic limit (the range where the material returns to its original shape after the load is removed).

How to Calculate Modulus of Elasticity given Crippling Load by Euler's Formula?

Modulus of Elasticity given Crippling Load by Euler's Formula calculator uses Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column) to calculate the Modulus of Elasticity Column, The Modulus of Elasticity given Crippling Load by Euler's Formula is defined as a measure of the stiffness of a material, which is the ratio of stress to strain within the proportional limit of the material, and is used to predict the buckling load of a column under compression. Modulus of Elasticity Column is denoted by E symbol.

How to calculate Modulus of Elasticity given Crippling Load by Euler's Formula using this online calculator? To use this online calculator for Modulus of Elasticity given Crippling Load by Euler's Formula, enter Euler’s Buckling Load (P_E), Effective Column Length (L_eff) & Moment of Inertia Column (I) and hit the calculate button. Here is how the Modulus of Elasticity given Crippling Load by Euler's Formula calculation can be explained with given input values -> 0.2 = (1491407*3^2)/(pi^2*6.8E-06).

FAQ

What is Modulus of Elasticity given Crippling Load by Euler's Formula?

The Modulus of Elasticity given Crippling Load by Euler's Formula is defined as a measure of the stiffness of a material, which is the ratio of stress to strain within the proportional limit of the material, and is used to predict the buckling load of a column under compression and is represented as E = (P_E*L_eff^2)/(pi^2*I) or Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia 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 & Moment of Inertia Column is the measure of the resistance of column to angular acceleration about a given axis.

How to calculate Modulus of Elasticity given Crippling Load by Euler's Formula?

The Modulus of Elasticity given Crippling Load by Euler's Formula is defined as a measure of the stiffness of a material, which is the ratio of stress to strain within the proportional limit of the material, and is used to predict the buckling load of a column under compression is calculated using Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column). To calculate Modulus of Elasticity given Crippling Load by Euler's Formula, you need Euler’s Buckling Load (P_E), Effective Column Length (L_eff) & Moment of Inertia Column (I). With our tool, you need to enter the respective value for Euler’s Buckling Load, Effective Column Length & Moment of Inertia 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 Modulus of Elasticity Column?

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

Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant)

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