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Ultimate Crushing Stress given Rankine's Constant Formula

GoUltimate Crushing Stress given Crippling Load and Rankine's Constant Formula

GoUltimate Crushing Stress given Crushing Load Formula

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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. Check FAQs

σ c = α \cdot π^{2} \cdot E

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

Ultimate Crushing Stress given Rankine's Constant Example

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Here is how the Ultimate Crushing Stress given Rankine's Constant equation looks like with Values.

Here is how the Ultimate Crushing Stress given Rankine's Constant equation looks like with Units.

Here is how the Ultimate Crushing Stress given Rankine's Constant equation looks like.

750.0899 = 0.0004 \cdot {3.1416}^{2} \cdot 200000

750.0899MPa = 0.0004 \cdot {3.1416}^{2} \cdot 200000MPa

750.0899 = 0.0004 \cdot {3.1416}^{2} \cdot 200000

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Ultimate Crushing Stress given Rankine's Constant Solution

Follow our step by step solution on how to calculate Ultimate Crushing Stress given Rankine's Constant?

FIRST Step Consider the formula

σ c = α \cdot π^{2} \cdot E

Next Step Substitute values of Variables

∴

σ c = 0.0004 \cdot π^{2} \cdot 200000MPa

Next Step Substitute values of Constants

∴

σ c = 0.0004 \cdot {3.1416}^{2} \cdot 200000MPa

Next Step Convert Units

∴

σ c = 0.0004 \cdot {3.1416}^{2} \cdot 2E+11Pa

Next Step Prepare to Evaluate

∴

σ c = 0.0004 \cdot {3.1416}^{2} \cdot 2E+11

Next Step Evaluate

∴

σ c = 750089934.482791Pa

Next Step Convert to Output's Unit

∴

σ c = 750.089934482791MPa

LAST Step Rounding Answer

∴

σ c = 750.0899MPa

Ultimate Crushing Stress given Rankine's Constant Formula Elements

Variables

Constants

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

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

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 to find Column Crushing Stress

Go Ultimate Crushing Stress given Crippling Load and Rankine's Constant

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

Go Ultimate Crushing Stress given Crushing Load

σ c = \frac{P c}{A}

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 Ultimate Crushing Stress given Rankine's Constant?

Ultimate Crushing Stress given Rankine's Constant evaluator uses Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column to evaluate the Column Crushing Stress, The Ultimate Crushing Stress given Rankine's Constant formula is defined as a measure of the maximum stress a material can withstand without collapsing, which is crucial in understanding the structural integrity of materials under various loads, particularly in the context of Euler and Rankine's Theory. Column Crushing Stress is denoted by σ_c symbol.

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

FAQs on Ultimate Crushing Stress given Rankine's Constant

What is the formula to find Ultimate Crushing Stress given Rankine's Constant?

The formula of Ultimate Crushing Stress given Rankine's Constant is expressed as Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column. Here is an example- 0.00075 = 0.00038*pi^2*200000000000.

How to calculate Ultimate Crushing Stress given Rankine's Constant?

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

What are the other ways to Calculate Column Crushing Stress?

Here are the different ways to Calculate Column Crushing Stress-

Column Crushing Stress=(Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area
Column Crushing Stress=Crushing Load/Column Cross Sectional Area

Can the Ultimate Crushing Stress given Rankine's Constant be negative?

No, the Ultimate Crushing Stress given Rankine's Constant, measured in Pressure cannot be negative.

Which unit is used to measure Ultimate Crushing Stress given Rankine's Constant?

Ultimate Crushing Stress 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 Ultimate Crushing Stress given Rankine's Constant can be measured.

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Ultimate Crushing Stress given Rankine's Constant Formula

​GoUltimate Crushing Stress given Crippling Load and Rankine's Constant Formula

​GoUltimate Crushing Stress given Crushing Load Formula

Ultimate Crushing Stress given Rankine's Constant Example

Ultimate Crushing Stress given Rankine's Constant Solution

Ultimate Crushing Stress given Rankine's Constant Formula Elements

Other Formulas to find Column Crushing Stress

Other formulas in Euler and Rankine's Theory category

How to Evaluate Ultimate Crushing Stress given Rankine's Constant?

FAQs on Ultimate Crushing Stress given Rankine's Constant

Variable Name

GoUltimate Crushing Stress given Crippling Load and Rankine's Constant Formula

GoUltimate Crushing Stress given Crushing Load Formula