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Rankine's Formula for Columns Calculator

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Stress and Strain Strain Stress

✖The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.ⓘ Euler’s Buckling Load [P_E]			+10% -10%
✖The Ultimate Crushing Load for Columns is the ultimate load that column can bear before failure.ⓘ Ultimate Crushing Load for Columns [P_cs]			+10% -10%

✖The Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend.ⓘ Rankine's Formula for Columns [P_r]

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Rankine's Formula for Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)
P_r = 1/(1/P_E+1/P_cs)
This formula uses 3 Variables

Variables Used

Rankine’s Critical Load - (Measured in Newton) - The Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend.
Euler’s Buckling Load - (Measured in Newton) - The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.
Ultimate Crushing Load for Columns - (Measured in Newton) - The Ultimate Crushing Load for Columns is the ultimate load that column can bear before failure.

STEP 1: Convert Input(s) to Base Unit

Euler’s Buckling Load: 1491.407 Kilonewton --> 1491407 Newton (Check conversion here)
Ultimate Crushing Load for Columns: 520 Kilonewton --> 520000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = 1/(1/P_E+1/P_cs) --> 1/(1/1491407+1/520000)

Evaluating ... ...

P_r = 385566.740097852

STEP 3: Convert Result to Output's Unit

385566.740097852 Newton -->385.566740097852 Kilonewton (Check conversion here)

FINAL ANSWER

385.566740097852 ≈ 385.5667 Kilonewton <-- Rankine’s Critical Load

(Calculation completed in 00.009 seconds)

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Rankine's Formula for Columns Formula

LaTeX Go

Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)
P_r = 1/(1/P_E+1/P_cs)

What is Crippling Load?

The crippling load, or more frequently called load, is the load over which a column prefers to deform laterally rather than compressing itself. Buckling is not about going over the maximum compressive stress, it is rather about the structure finding a geometrically stable alternative to being compressed.

How to Calculate Rankine's Formula for Columns?

Rankine's Formula for Columns calculator uses Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns) to calculate the Rankine’s Critical Load, The Rankine's Formula for Columns formula is defined as a method to determine the crushing stress of a column, taking into account the external load and the internal resistance of the column, providing a reliable way to calculate the maximum stress a column can withstand before collapsing. Rankine’s Critical Load is denoted by P_r symbol.

How to calculate Rankine's Formula for Columns using this online calculator? To use this online calculator 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. Here is how the Rankine's Formula for Columns calculation can be explained with given input values -> 0.385567 = 1/(1/1491407+1/520000).

FAQ

What is Rankine's Formula for Columns?

The Rankine's Formula for Columns formula is defined as a method to determine the crushing stress of a column, taking into account the external load and the internal resistance of the column, providing a reliable way to calculate the maximum stress a column can withstand before collapsing and is represented as P_r = 1/(1/P_E+1/P_cs) or Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns). The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend & The Ultimate Crushing Load for Columns is the ultimate load that column can bear before failure.

How to calculate Rankine's Formula for Columns?

The Rankine's Formula for Columns formula is defined as a method to determine the crushing stress of a column, taking into account the external load and the internal resistance of the column, providing a reliable way to calculate the maximum stress a column can withstand before collapsing is calculated using Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns). To calculate Rankine's Formula for Columns, you need Euler’s Buckling Load (P_E) & Ultimate Crushing Load for Columns (P_cs). With our tool, you need to enter the respective value for Euler’s Buckling Load & Ultimate Crushing Load for Columns and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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