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Crippling Load by Rankine's Formula

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Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend. Check FAQs

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

P_r - Rankine’s Critical Load?P_c - Crushing Load?P_E - Euler’s Buckling Load?

Crippling Load by Rankine's Example

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With units

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Here is how the Crippling Load by Rankine's equation looks like with Values.

Here is how the Crippling Load by Rankine's equation looks like with Units.

Here is how the Crippling Load by Rankine's equation looks like.

747.8456 = \frac{1500 \cdot 1491.407}{1500 + 1491.407}

747.8456kN = \frac{1500kN \cdot 1491.407kN}{1500kN + 1491.407kN}

747.8456 = \frac{1500 \cdot 1491.407}{1500 + 1491.407}

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Crippling Load by Rankine's Solution

Follow our step by step solution on how to calculate Crippling Load by Rankine's?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P r = \frac{1500kN \cdot 1491.407kN}{1500kN + 1491.407kN}

Next Step Convert Units

∴

P r = \frac{1.5E+6N \cdot 1.5E+6N}{1.5E+6N + 1.5E+6N}

Next Step Prepare to Evaluate

∴

P r = \frac{1.5E+6 \cdot 1.5E+6}{1.5E+6 + 1.5E+6}

Next Step Evaluate

∴

P r = 747845.579020173N

Next Step Convert to Output's Unit

∴

P r = 747.845579020173kN

LAST Step Rounding Answer

∴

P r = 747.8456kN

Crippling Load by Rankine's Formula Elements

Variables

Rankine’s Critical Load

Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend.

Symbol: P_r

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Rankine’s Critical Load

Crushing Load

Crushing Load is the maximum load or force that a material or structure can withstand before it undergoes failure due to crushing.

Symbol: P_c

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Crushing Load

Euler’s Buckling Load

The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.

Symbol: P_E

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Euler’s Buckling Load

Other formulas in Euler and Rankine's Theory category

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}

Go Crushing Load by Rankine's Formula

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

How to Evaluate Crippling Load by Rankine's?

Crippling Load by Rankine's evaluator uses Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load) to evaluate the Rankine’s Critical Load, The Crippling Load by Rankine's formula is defined as the maximum load that a column can withstand without collapsing, considering the crushing load and the external load, and is a fundamental concept in Euler and Rankine's Theory, widely used in structural analysis and design of columns. Rankine’s Critical Load is denoted by P_r symbol.

How to evaluate Crippling Load by Rankine's using this online evaluator? To use this online evaluator for Crippling Load by Rankine's, enter Crushing Load (P_c) & Euler’s Buckling Load (P_E) and hit the calculate button.

FAQs on Crippling Load by Rankine's

What is the formula to find Crippling Load by Rankine's?

The formula of Crippling Load by Rankine's is expressed as Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load). Here is an example- 0.747846 = (1500000*1491407)/(1500000+1491407).

How to calculate Crippling Load by Rankine's?

With Crushing Load (P_c) & Euler’s Buckling Load (P_E) we can find Crippling Load by Rankine's using the formula - Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load).

Can the Crippling Load by Rankine's be negative?

No, the Crippling Load by Rankine's, measured in Force cannot be negative.

Which unit is used to measure Crippling Load by Rankine's?

Crippling Load by Rankine's is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Crippling Load by Rankine's can be measured.

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Crippling Load by Rankine's Formula

Crippling Load by Rankine's Example

Crippling Load by Rankine's Solution

Crippling Load by Rankine's Formula Elements

Other formulas in Euler and Rankine's Theory category

How to Evaluate Crippling Load by Rankine's?

FAQs on Crippling Load by Rankine's

Variable Name