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Crushing Load by Rankine's Formula Formula

GoCrushing Load given Ultimate Crushing Stress Formula

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

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

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

Crushing Load by Rankine's Formula Example

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With units

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

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

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

1500.0001 = \frac{747.8456 \cdot 1491.407}{1491.407 - 747.8456}

1500.0001kN = \frac{747.8456kN \cdot 1491.407kN}{1491.407kN - 747.8456kN}

1500.0001 = \frac{747.8456 \cdot 1491.407}{1491.407 - 747.8456}

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Crushing Load by Rankine's Formula Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P c = \frac{747.8456kN \cdot 1491.407kN}{1491.407kN - 747.8456kN}

Next Step Convert Units

∴

P c = \frac{747845.6N \cdot 1.5E+6N}{1.5E+6N - 747845.6N}

Next Step Prepare to Evaluate

∴

P c = \frac{747845.6 \cdot 1.5E+6}{1.5E+6 - 747845.6}

Next Step Evaluate

∴

P c = 1500000.08440352N

Next Step Convert to Output's Unit

∴

P c = 1500.00008440352kN

LAST Step Rounding Answer

∴

P c = 1500.0001kN

Crushing Load by Rankine's Formula Formula Elements

Variables

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

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

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 to find Crushing Load

Go Crushing Load given Ultimate Crushing Stress

P c = σ c \cdot 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 Crushing Load by Rankine's Formula?

Crushing Load by Rankine's Formula evaluator uses Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load) to evaluate the Crushing Load, The Crushing Load by Rankine's Formula is defined as the maximum load that a column can withstand without collapsing, taking into account the external load and the internal resistance of the column, and is a critical concept in the design of columns and other structural elements in engineering and architecture. Crushing Load is denoted by P_c symbol.

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

FAQs on Crushing Load by Rankine's Formula

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

The formula of Crushing Load by Rankine's Formula is expressed as Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load). Here is an example- 1.5 = (747845.6*1491407)/(1491407-747845.6).

How to calculate Crushing Load by Rankine's Formula?

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

What are the other ways to Calculate Crushing Load?

Here are the different ways to Calculate Crushing Load-

Crushing Load=Column Crushing Stress*Column Cross Sectional Area

Can the Crushing Load by Rankine's Formula be negative?

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

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

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

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Crushing Load by Rankine's Formula Formula

​GoCrushing Load given Ultimate Crushing Stress Formula

Crushing Load by Rankine's Formula Example

Crushing Load by Rankine's Formula Solution

Crushing Load by Rankine's Formula Formula Elements

Other Formulas to find Crushing Load

Other formulas in Euler and Rankine's Theory category

How to Evaluate Crushing Load by Rankine's Formula?

FAQs on Crushing Load by Rankine's Formula

Variable Name

GoCrushing Load given Ultimate Crushing Stress Formula