Crippling Load by Euler's Formula given Crippling Load by Rankine's Calculator

✖Crushing Load is the maximum load or force that a material or structure can withstand before it undergoes failure due to crushing.ⓘ Crushing Load [P_c]			+10% -10%
✖Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend.ⓘ Rankine’s Critical Load [P_r]			+10% -10%

✖The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.ⓘ Crippling Load by Euler's Formula given Crippling Load by Rankine's [P_E]

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Crippling Load by Euler's Formula given Crippling Load by Rankine's Solution

STEP 0: Pre-Calculation Summary

Formula Used

Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)
P_E = (P_c*P_r)/(P_c-P_r)
This formula uses 3 Variables

Variables Used

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.
Crushing Load - (Measured in Newton) - Crushing Load is the maximum load or force that a material or structure can withstand before it undergoes failure due to crushing.
Rankine’s Critical Load - (Measured in Newton) - Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend.

STEP 1: Convert Input(s) to Base Unit

Crushing Load: 1500 Kilonewton --> 1500000 Newton (Check conversion here)
Rankine’s Critical Load: 747.8456 Kilonewton --> 747845.6 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_E = (P_c*P_r)/(P_c-P_r) --> (1500000*747845.6)/(1500000-747845.6)

Evaluating ... ...

P_E = 1491407.08343925

STEP 3: Convert Result to Output's Unit

1491407.08343925 Newton -->1491.40708343925 Kilonewton (Check conversion here)

FINAL ANSWER

1491.40708343925 ≈ 1491.407 Kilonewton <-- Euler’s Buckling Load

(Calculation completed in 00.004 seconds)

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< Euler and Rankine's Theory Calculators

Crushing Load by Rankine's Formula

LaTeX Go Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load)

Crippling Load by Euler's Formula given Crippling Load by Rankine's

LaTeX Go Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)

Crippling Load by Rankine's

LaTeX Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)

Crushing Load given Ultimate Crushing Stress

LaTeX Go Crushing Load = Column Crushing Stress*Column Cross Sectional Area

< Crippling Load by Euler's Formula Calculators

Effective Length of Column given Crippling Load by Euler's Formula

LaTeX Go Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load))

Crippling Load by Euler's Formula given Crippling Load by Rankine's

LaTeX Go Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)

Modulus of Elasticity given Crippling Load by Euler's Formula

LaTeX Go Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)

Crippling Load by Euler's Formula

LaTeX Go Euler’s Buckling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)

Crippling Load by Euler's Formula given Crippling Load by Rankine's Formula

LaTeX Go

Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)
P_E = (P_c*P_r)/(P_c-P_r)

What is Euler Load?

The Euler Load (or Euler’s Critical Load) refers to the maximum axial load a slender column can bear before it buckles. It was derived by Swiss mathematician Leonhard Euler and is a key concept in structural engineering when analyzing column stability.

How to Calculate Crippling Load by Euler's Formula given Crippling Load by Rankine's?

Crippling Load by Euler's Formula given Crippling Load by Rankine's calculator uses Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load) to calculate the Euler’s Buckling Load, The Crippling Load by Euler's Formula given Crippling Load by Rankine's formula is defined as a method of calculating the crippling load of a column based on the crippling loads obtained from Euler's and Rankine's formulas, providing a more accurate and reliable result in structural analysis. Euler’s Buckling Load is denoted by P_E symbol.

How to calculate Crippling Load by Euler's Formula given Crippling Load by Rankine's using this online calculator? To use this online calculator for Crippling Load by Euler's Formula given Crippling Load by Rankine's, enter Crushing Load (P_c) & Rankine’s Critical Load (P_r) and hit the calculate button. Here is how the Crippling Load by Euler's Formula given Crippling Load by Rankine's calculation can be explained with given input values -> 1.491407 = (1500000*747845.6)/(1500000-747845.6).

FAQ

What is Crippling Load by Euler's Formula given Crippling Load by Rankine's?

The Crippling Load by Euler's Formula given Crippling Load by Rankine's formula is defined as a method of calculating the crippling load of a column based on the crippling loads obtained from Euler's and Rankine's formulas, providing a more accurate and reliable result in structural analysis and is represented as P_E = (P_c*P_r)/(P_c-P_r) or Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load). Crushing Load is the maximum load or force that a material or structure can withstand before it undergoes failure due to crushing & Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend.

How to calculate Crippling Load by Euler's Formula given Crippling Load by Rankine's?

The Crippling Load by Euler's Formula given Crippling Load by Rankine's formula is defined as a method of calculating the crippling load of a column based on the crippling loads obtained from Euler's and Rankine's formulas, providing a more accurate and reliable result in structural analysis is calculated using Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load). To calculate Crippling Load by Euler's Formula given Crippling Load by Rankine's, you need Crushing Load (P_c) & Rankine’s Critical Load (P_r). With our tool, you need to enter the respective value for Crushing Load & Rankine’s Critical Load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Euler’s Buckling Load?

In this formula, Euler’s Buckling Load uses Crushing Load & Rankine’s Critical Load. We can use 2 other way(s) to calculate the same, which is/are as follows -

Euler’s Buckling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)
Euler’s Buckling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)

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