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

STEP 0: Pre-Calculation Summary
Formula Used
Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)
PE = (Pc*Pr)/(Pc-Pr)
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 intensity of load required to crush the material.
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.
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
PE = (Pc*Pr)/(Pc-Pr) --> (1500000*747845.6)/(1500000-747845.6)
Evaluating ... ...
PE = 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 00.020 seconds)

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19 Euler and Rankine's Theory Calculators

Effective Length of Column given Crippling Load and Rankine's Constant
Go Effective Column Length = sqrt((Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1)*(Least Radius of Gyration Column^2)/Rankine's Constant)
Least Radius of Gyration given Crippling Load and Rankine's Constant
Go Least Radius of Gyration Column = sqrt((Rankine's Constant*Effective Column Length^2)/(Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1))
Rankine's Constant given Crippling Load
Go Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2
Cross-Sectional Area of Column given Crippling Load and Rankine's Constant
Go Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress
Ultimate Crushing Stress given Crippling Load and Rankine's Constant
Go Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area
Crippling Load given Rankine's Constant
Go Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)
Effective Length of Column given Crippling Load by Euler's Formula
Go Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load))
Crushing Load by Rankine's Formula
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 Formula
Go Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)
Crippling Load by Rankine's Formula
Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)
Modulus of Elasticity given Crippling Load by Euler's Formula
Go Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)
Moment of Inertia given Crippling Load by Euler's Formula
Go Moment of Inertia Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column)
Crippling Load by Euler's Formula
Go Euler’s Buckling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)
Modulus of Elasticity given Rankine's Constant
Go Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant)
Rankine's Constant
Go Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)
Ultimate Crushing Stress given Rankine's Constant
Go Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column
Cross-Sectional Area of Column given Crushing Load
Go Column Cross Sectional Area = Crushing Load/Column Crushing Stress
Crushing Load given Ultimate Crushing Stress
Go Crushing Load = Column Crushing Stress*Column Cross Sectional Area
Ultimate Crushing Stress given Crushing Load
Go Column Crushing Stress = Crushing Load/Column Cross Sectional Area

5 Crippling Load by Euler's Formula Calculators

Effective Length of Column given Crippling Load by Euler's Formula
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 Formula
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
Go Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)
Moment of Inertia given Crippling Load by Euler's Formula
Go Moment of Inertia Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column)
Crippling Load by Euler's Formula
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 Formula

Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)
PE = (Pc*Pr)/(Pc-Pr)

What is Ultimate Compressive Strength?

Ultimate Compressive Strength is defined as the force at which a specimen with a certain cross-section, and consisting of a particular fracturing material, fails when it is subjected to compression. The ultimate compressive strength is normally measured in N/mm2 (force per area) and is thus stress.

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

Crippling Load by Euler's Formula given Crippling Load by Rankine's Formula 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 the load over which a column prefers to deform laterally rather than compressing itself. Euler’s Buckling Load is denoted by PE symbol.

How to calculate Crippling Load by Euler's Formula given Crippling Load by Rankine's Formula using this online calculator? To use this online calculator for Crippling Load by Euler's Formula given Crippling Load by Rankine's Formula, enter Crushing Load (Pc) & Rankine’s Critical Load (Pr) and hit the calculate button. Here is how the Crippling Load by Euler's Formula given Crippling Load by Rankine's Formula 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 Formula?
The Crippling load by Euler's formula given crippling load by Rankine's formula is defined as the load over which a column prefers to deform laterally rather than compressing itself and is represented as PE = (Pc*Pr)/(Pc-Pr) or Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load). Crushing Load is the intensity of load required to crush the material & The 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 Formula?
The Crippling load by Euler's formula given crippling load by Rankine's formula is defined as the load over which a column prefers to deform laterally rather than compressing itself 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 Formula, you need Crushing Load (Pc) & Rankine’s Critical Load (Pr). 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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