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Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free 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{4 \cdot l^{2} \cdot P}{π^{2} \cdot I}

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

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Example

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Here is how the Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free equation looks like with Values.

Here is how the Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free equation looks like with Units.

Here is how the Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free equation looks like.

542.7921 = \frac{4 \cdot 5000^{2} \cdot 3}{{3.1416}^{2} \cdot 5600}

542.7921MPa = \frac{4 \cdot {5000mm}^{2} \cdot 3kN}{{3.1416}^{2} \cdot 5600cm⁴}

542.7921 = \frac{4 \cdot 5000^{2} \cdot 3}{{3.1416}^{2} \cdot 5600}

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Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free?

FIRST Step Consider the formula

E = \frac{4 \cdot l^{2} \cdot P}{π^{2} \cdot I}

Next Step Substitute values of Variables

∴

E = \frac{4 \cdot {5000mm}^{2} \cdot 3kN}{π^{2} \cdot 5600cm⁴}

Next Step Substitute values of Constants

∴

E = \frac{4 \cdot {5000mm}^{2} \cdot 3kN}{{3.1416}^{2} \cdot 5600cm⁴}

Next Step Convert Units

∴

E = \frac{4 \cdot {5m}^{2} \cdot 3000N}{{3.1416}^{2} \cdot 5.6E-5m⁴}

Next Step Prepare to Evaluate

∴

E = \frac{4 \cdot 5^{2} \cdot 3000}{{3.1416}^{2} \cdot 5.6E-5}

Next Step Evaluate

∴

E = 542792055.22681Pa

Next Step Convert to Output's Unit

∴

E = 542.792055226809MPa

LAST Step Rounding Answer

∴

E = 542.7921MPa

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free 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 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

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

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 One End of Column is Fixed and Other is Free category

Go Moment of Section due to Crippling Load if One End of Column is Fixed and Other is Free

M t = P \cdot (a - δ)

Go Crippling Load given Moment of Section if One End of Column is Fixed and Other is Free

P = \frac{M t}{a - δ}

Go Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free

a = \frac{M t}{P} + δ

Go Deflection of Section given Moment of Section if One End of Column is Fixed and Other is Free

δ = a - \frac{M t}{P}

How to Evaluate Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free?

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free evaluator uses Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column) to evaluate the Modulus of Elasticity of Column, Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free 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 determine the crippling load of a column with one end fixed and the other end free. Modulus of Elasticity of Column is denoted by E symbol.

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

FAQs on Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free

What is the formula to find Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free?

The formula of Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free is expressed as Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column). Here is an example- 0.000543 = (4*5^2*3000)/(pi^2*5.6E-05).

How to calculate Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free?

With Column Length (l), Column Crippling Load (P) & Moment of Inertia Column (I) we can find Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free using the formula - Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column). This formula also uses Archimedes' constant .

Can the Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free be negative?

No, the Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free?

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free 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 One End of Column is Fixed and Other is Free can be measured.

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Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Formula

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Example

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Solution

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Formula Elements

Other formulas in One End of Column is Fixed and Other is Free category

How to Evaluate Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free?

FAQs on Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free

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