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Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free Formula

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

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

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

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free Example

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

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

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

287844.2717 = \frac{4 \cdot 5000^{2} \cdot 3}{{3.1416}^{2} \cdot 10.56}

287844.2717cm⁴ = \frac{4 \cdot {5000mm}^{2} \cdot 3kN}{{3.1416}^{2} \cdot 10.56MPa}

287844.2717 = \frac{4 \cdot 5000^{2} \cdot 3}{{3.1416}^{2} \cdot 10.56}

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Moment of Inertia 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 Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = \frac{4 \cdot {5000mm}^{2} \cdot 3kN}{π^{2} \cdot 10.56MPa}

Next Step Substitute values of Constants

∴

I = \frac{4 \cdot {5000mm}^{2} \cdot 3kN}{{3.1416}^{2} \cdot 10.56MPa}

Next Step Convert Units

∴

I = \frac{4 \cdot {5m}^{2} \cdot 3000N}{{3.1416}^{2} \cdot 1.1E+7Pa}

Next Step Prepare to Evaluate

∴

I = \frac{4 \cdot 5^{2} \cdot 3000}{{3.1416}^{2} \cdot 1.1E+7}

Next Step Evaluate

∴

I = 0.00287844271711187m⁴

Next Step Convert to Output's Unit

∴

I = 287844.271711187cm⁴

LAST Step Rounding Answer

∴

I = 287844.2717cm⁴

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free Formula Elements

Variables

Constants

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

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

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

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 Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free?

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free evaluator uses Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of Column) to evaluate the Moment of Inertia Column, Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free formula is defined as a measure of the resistance of a rotating body to changes in its rotation rate, calculated in terms of the crippling load and column dimensions, providing insights into the structural integrity of the column. Moment of Inertia Column is denoted by I symbol.

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

FAQs on Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free

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

The formula of Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free is expressed as Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of Column). Here is an example- 2.9E+13 = (4*5^2*3000)/(pi^2*10560000).

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

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

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

No, the Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free, measured in Second Moment of Area cannot be negative.

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

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free is usually measured using the Centimeter⁴[cm⁴] for Second Moment of Area. Meter⁴[cm⁴], Millimeter⁴[cm⁴] are the few other units in which Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free can be measured.

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Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free Formula

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free Example

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free Solution

Moment of Inertia 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 Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free?

FAQs on Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free

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