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Modulus of Elasticity given Rankine's Constant 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{σ c}{π^{2} \cdot α}

E - Modulus of Elasticity Column?σ_c - Column Crushing Stress?α - Rankine's Constant?π - Archimedes' constant?

Modulus of Elasticity given Rankine's Constant Example

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Here is how the Modulus of Elasticity given Rankine's Constant equation looks like with Values.

Here is how the Modulus of Elasticity given Rankine's Constant equation looks like with Units.

Here is how the Modulus of Elasticity given Rankine's Constant equation looks like.

199976.0203 = \frac{750}{{3.1416}^{2} \cdot 0.0004}

199976.0203MPa = \frac{750MPa}{{3.1416}^{2} \cdot 0.0004}

199976.0203 = \frac{750}{{3.1416}^{2} \cdot 0.0004}

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Modulus of Elasticity given Rankine's Constant Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Rankine's Constant?

FIRST Step Consider the formula

E = \frac{σ c}{π^{2} \cdot α}

Next Step Substitute values of Variables

∴

E = \frac{750MPa}{π^{2} \cdot 0.0004}

Next Step Substitute values of Constants

∴

E = \frac{750MPa}{{3.1416}^{2} \cdot 0.0004}

Next Step Convert Units

∴

E = \frac{7.5E+8Pa}{{3.1416}^{2} \cdot 0.0004}

Next Step Prepare to Evaluate

∴

E = \frac{7.5E+8}{{3.1416}^{2} \cdot 0.0004}

Next Step Evaluate

∴

E = 199976020346.719Pa

Next Step Convert to Output's Unit

∴

E = 199976.020346719MPa

LAST Step Rounding Answer

∴

E = 199976.0203MPa

Modulus of Elasticity given Rankine's Constant 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

Column Crushing Stress

Column Crushing Stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.

Symbol: σ_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Column Crushing Stress

Rankine's Constant

Rankine's Constant is the constant of Rankine's empirical formula.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rankine's Constant

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 Rankine's

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

Go Crippling Load given Rankine's Constant

P = \frac{σ c \cdot A}{1 + α \cdot {(\frac{L eff}{r least})}^{2}}

Go Cross-Sectional Area of Column given Crippling Load and Rankine's Constant

A = \frac{P \cdot (1 + α \cdot {(\frac{L eff}{r least})}^{2})}{σ c}

Go Cross-Sectional Area of Column given Crushing Load

A = \frac{P c}{σ c}

How to Evaluate Modulus of Elasticity given Rankine's Constant?

Modulus of Elasticity given Rankine's Constant evaluator uses Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant) to evaluate the Modulus of Elasticity Column, The Modulus of Elasticity given Rankine's Constant formula is defined as a measure of the stiffness of a material, which is a fundamental property in the theory of elasticity, describing the material's ability to resist deformation under stress. Modulus of Elasticity Column is denoted by E symbol.

How to evaluate Modulus of Elasticity given Rankine's Constant using this online evaluator? To use this online evaluator for Modulus of Elasticity given Rankine's Constant, enter Column Crushing Stress (σ_c) & Rankine's Constant (α) and hit the calculate button.

FAQs on Modulus of Elasticity given Rankine's Constant

What is the formula to find Modulus of Elasticity given Rankine's Constant?

The formula of Modulus of Elasticity given Rankine's Constant is expressed as Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant). Here is an example- 0.199976 = 750000000/(pi^2*0.00038).

How to calculate Modulus of Elasticity given Rankine's Constant?

With Column Crushing Stress (σ_c) & Rankine's Constant (α) we can find Modulus of Elasticity given Rankine's Constant using the formula - Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant). This formula also uses Archimedes' constant .

Can the Modulus of Elasticity given Rankine's Constant be negative?

No, the Modulus of Elasticity given Rankine's Constant, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Rankine's Constant?

Modulus of Elasticity given Rankine's Constant 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 Rankine's Constant can be measured.

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Modulus of Elasticity given Rankine's Constant Formula

Modulus of Elasticity given Rankine's Constant Example

Modulus of Elasticity given Rankine's Constant Solution

Modulus of Elasticity given Rankine's Constant Formula Elements

Other formulas in Euler and Rankine's Theory category

How to Evaluate Modulus of Elasticity given Rankine's Constant?

FAQs on Modulus of Elasticity given Rankine's Constant

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