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Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Formula

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

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

E - Modulus of Elasticity of Column?P - Column Crippling Load?l - Column Length?I - Moment of Inertia Column?π - Archimedes' constant?

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Example

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Here is how the Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed equation looks like with Values.

Here is how the Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed equation looks like with Units.

Here is how the Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed equation looks like.

135.698 = \frac{3 \cdot 5000^{2}}{{3.1416}^{2} \cdot 5600}

135.698MPa = \frac{3kN \cdot {5000mm}^{2}}{{3.1416}^{2} \cdot 5600cm⁴}

135.698 = \frac{3 \cdot 5000^{2}}{{3.1416}^{2} \cdot 5600}

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Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = \frac{3kN \cdot {5000mm}^{2}}{π^{2} \cdot 5600cm⁴}

Next Step Substitute values of Constants

∴

E = \frac{3kN \cdot {5000mm}^{2}}{{3.1416}^{2} \cdot 5600cm⁴}

Next Step Convert Units

∴

E = \frac{3000N \cdot {5m}^{2}}{{3.1416}^{2} \cdot 5.6E-5m⁴}

Next Step Prepare to Evaluate

∴

E = \frac{3000 \cdot 5^{2}}{{3.1416}^{2} \cdot 5.6E-5}

Next Step Evaluate

∴

E = 135698013.806702Pa

Next Step Convert to Output's Unit

∴

E = 135.698013806702MPa

LAST Step Rounding Answer

∴

E = 135.698MPa

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Formula Elements

Variables

Constants

Modulus of Elasticity of Column

Modulus of Elasticity of Column is a quantity that measures an object or substance'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 of Column

Column Crippling Load

Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.

Symbol: P

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Column Crippling Load

Column Length

Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Column Length

Moment of Inertia Column

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

Symbol: I

Measurement: Second Moment of AreaUnit: cm⁴

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 Both Ends of Column are Fixed category

Go Moment of Section if Both Ends of Column are Fixed

M t = M Fixed - P \cdot δ

Go Crippling Load given Moment of Section if Both Ends of Column are Fixed

P = \frac{M Fixed - M t}{δ}

Go Moment of Fixed Ends given Moment of Section if Both Ends of Column are Fixed

M Fixed = M t + P \cdot δ

Go Deflection at Section given Moment of Section if Both Ends of Column are Fixed

δ = \frac{M Fixed - M t}{P}

How to Evaluate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed?

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed evaluator uses Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column) to evaluate the Modulus of Elasticity of Column, Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed formula is defined as a measure of the ratio of stress and strain within the proportional limit of an object, describing the material's stiffness and ability to resist deformation under axial loading. Modulus of Elasticity of Column is denoted by E symbol.

How to evaluate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed using this online evaluator? To use this online evaluator for Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed, enter Column Crippling Load (P), Column Length (l) & Moment of Inertia Column (I) and hit the calculate button.

FAQs on Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed

What is the formula to find Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed?

The formula of Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed is expressed as Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column). Here is an example- 0.000136 = (3000*5^2)/(pi^2*5.6E-05).

How to calculate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed?

With Column Crippling Load (P), Column Length (l) & Moment of Inertia Column (I) we can find Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed using the formula - Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column). This formula also uses Archimedes' constant .

Can the Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed be negative?

No, the Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed?

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed 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 if Both Ends of Column are Fixed can be measured.

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Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Formula

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Example

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Solution

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Formula Elements

Other formulas in Both Ends of Column are Fixed category

How to Evaluate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed?

FAQs on Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed

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