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

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Modulus of Elasticity Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it. Check FAQs

E = \frac{P E \cdot {L eff}^{2}}{π^{2} \cdot I}

E - Modulus of Elasticity Column?P_E - Euler’s Buckling Load?L_eff - Effective Column Length?I - Moment of Inertia Column?π - Archimedes' constant?

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

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Here is how the Modulus of Elasticity given Crippling Load by Euler's Formula equation looks like with Values.

Here is how the Modulus of Elasticity given Crippling Load by Euler's Formula equation looks like with Units.

Here is how the Modulus of Elasticity given Crippling Load by Euler's Formula equation looks like.

200000.0151 = \frac{1491.407 \cdot 3000^{2}}{{3.1416}^{2} \cdot 6.8E+6}

200000.0151MPa = \frac{1491.407kN \cdot {3000mm}^{2}}{{3.1416}^{2} \cdot 6.8E+6mm⁴}

200000.0151 = \frac{1491.407 \cdot 3000^{2}}{{3.1416}^{2} \cdot 6.8E+6}

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

Follow our step by step solution on how to calculate Modulus of Elasticity given Crippling Load by Euler's Formula?

FIRST Step Consider the formula

E = \frac{P E \cdot {L eff}^{2}}{π^{2} \cdot I}

Next Step Substitute values of Variables

∴

E = \frac{1491.407kN \cdot {3000mm}^{2}}{π^{2} \cdot 6.8E+6mm⁴}

Next Step Substitute values of Constants

∴

E = \frac{1491.407kN \cdot {3000mm}^{2}}{{3.1416}^{2} \cdot 6.8E+6mm⁴}

Next Step Convert Units

∴

E = \frac{1.5E+6N \cdot {3m}^{2}}{{3.1416}^{2} \cdot 6.8E-6m⁴}

Next Step Prepare to Evaluate

∴

E = \frac{1.5E+6 \cdot 3^{2}}{{3.1416}^{2} \cdot 6.8E-6}

Next Step Evaluate

∴

E = 200000015116.502Pa

Next Step Convert to Output's Unit

∴

E = 200000.015116502MPa

LAST Step Rounding Answer

∴

E = 200000.0151MPa

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

Variables

Constants

Modulus of Elasticity Column

Modulus of Elasticity Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Column

Euler’s Buckling Load

The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.

Symbol: P_E

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Euler’s Buckling Load

Effective Column Length

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.

Symbol: L_eff

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Column Length

Moment of Inertia Column

Moment of Inertia Column is the measure of the resistance of column to angular acceleration about a given axis.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia Column

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Euler and Rankine's Theory category

Go Crippling Load by Euler's Formula

P E = \frac{π^{2} \cdot E \cdot I}{{L eff}^{2}}

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

P E = \frac{P c \cdot P r}{P c - P r}

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

L eff = \sqrt{\frac{π^{2} \cdot E \cdot I}{P E}}

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

I = \frac{P E \cdot {L eff}^{2}}{π^{2} \cdot E}

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

Modulus of Elasticity given Crippling Load by Euler's Formula evaluator uses Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column) to evaluate 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 evaluate Modulus of Elasticity given Crippling Load by Euler's Formula using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Modulus of Elasticity given Crippling Load by Euler's Formula?

The formula of Modulus of Elasticity given Crippling Load by Euler's Formula is expressed as Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column). Here is an example- 0.2 = (1491407*3^2)/(pi^2*6.8E-06).

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

With Euler’s Buckling Load (P_E), Effective Column Length (L_eff) & Moment of Inertia Column (I) we can find Modulus of Elasticity given Crippling Load by Euler's Formula using the formula - Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column). This formula also uses Archimedes' constant .

Can the Modulus of Elasticity given Crippling Load by Euler's Formula be negative?

No, the Modulus of Elasticity given Crippling Load by Euler's Formula, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Crippling Load by Euler's Formula?

Modulus of Elasticity given Crippling Load by Euler's Formula is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Elasticity given Crippling Load by Euler's Formula can be measured.

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

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

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

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

Other formulas in Euler and Rankine's Theory category

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

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

Variable Name