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Rankine's Formula for Columns Formula

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The 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{1}{\frac{1}{P E} + \frac{1}{P cs}}

P_r - Rankine’s Critical Load?P_E - Euler’s Buckling Load?P_cs - Ultimate Crushing Load for Columns?

Rankine's Formula for Columns Example

With values

With units

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Here is how the Rankine's Formula for Columns equation looks like with Values.

Here is how the Rankine's Formula for Columns equation looks like with Units.

Here is how the Rankine's Formula for Columns equation looks like.

385.5667 = \frac{1}{\frac{1}{1491.407} + \frac{1}{520}}

385.5667kN = \frac{1}{\frac{1}{1491.407kN} + \frac{1}{520kN}}

385.5667 = \frac{1}{\frac{1}{1491.407} + \frac{1}{520}}

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Rankine's Formula for Columns Solution

Follow our step by step solution on how to calculate Rankine's Formula for Columns?

FIRST Step Consider the formula

P r = \frac{1}{\frac{1}{P E} + \frac{1}{P cs}}

Next Step Substitute values of Variables

∴

P r = \frac{1}{\frac{1}{1491.407kN} + \frac{1}{520kN}}

Next Step Convert Units

∴

P r = \frac{1}{\frac{1}{1.5E+6N} + \frac{1}{520000N}}

Next Step Prepare to Evaluate

∴

P r = \frac{1}{\frac{1}{1.5E+6} + \frac{1}{520000}}

Next Step Evaluate

∴

P r = 385566.740097852N

Next Step Convert to Output's Unit

∴

P r = 385.566740097852kN

LAST Step Rounding Answer

∴

P r = 385.5667kN

Rankine's Formula for Columns Formula Elements

Variables

Rankine’s Critical Load

The 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

Ultimate Crushing Load for Columns

The Ultimate Crushing Load for Columns is the ultimate load that column can bear before failure.

Symbol: P_cs

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Ultimate Crushing Load for Columns

Other formulas in Stress and Strain category

Go Elongation Circular Tapered Bar

∆ = \frac{4 \cdot W load \cdot L bar}{π \cdot D 1 \cdot D 2 \cdot e}

Go Moment of Inertia for Hollow Circular Shaft

J = \frac{π}{32} \cdot ({d ho}^{4} - {d hi}^{4})

Go Moment of Inertia about Polar Axis

J = \frac{π \cdot {d s}^{4}}{32}

Go Elongation of Prismatic Bar due to its Own Weight

∆ = \frac{2 \cdot W load \cdot L bar}{A \cdot e}

How to Evaluate Rankine's Formula for Columns?

Rankine's Formula for Columns evaluator uses Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns) to evaluate the Rankine’s Critical Load, The Rankine's Formula for Columns is inverse of sum of reciprocal of crippling load by euler's formula and reciprocal of ultinate crushing load for columns. Rankine’s Critical Load is denoted by P_r symbol.

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

FAQs on Rankine's Formula for Columns

What is the formula to find Rankine's Formula for Columns?

The formula of Rankine's Formula for Columns is expressed as Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns). Here is an example- 0.385567 = 1/(1/1491407+1/520000).

How to calculate Rankine's Formula for Columns?

With Euler’s Buckling Load (P_E) & Ultimate Crushing Load for Columns (P_cs) we can find Rankine's Formula for Columns using the formula - Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns).

Can the Rankine's Formula for Columns be negative?

No, the Rankine's Formula for Columns, measured in Force cannot be negative.

Which unit is used to measure Rankine's Formula for Columns?

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

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Rankine's Formula for Columns Formula

Rankine's Formula for Columns Example

Rankine's Formula for Columns Solution

Rankine's Formula for Columns Formula Elements

Other formulas in Stress and Strain category

How to Evaluate Rankine's Formula for Columns?

FAQs on Rankine's Formula for Columns

Variable Name