Crippling Load by Rankine's Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)
Pr = (Pc*PE)/(Pc+PE)
This formula uses 3 Variables
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Crushing Load: 1500 Kilonewton --> 1500000 Newton (Check conversion ​here)
Euler’s Buckling Load: 1491.407 Kilonewton --> 1491407 Newton (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = (Pc*PE)/(Pc+PE) --> (1500000*1491407)/(1500000+1491407)
Evaluating ... ...
Pr = 747845.579020173
STEP 3: Convert Result to Output's Unit
747845.579020173 Newton -->747.845579020173 Kilonewton (Check conversion ​here)
FINAL ANSWER
747.845579020173 747.8456 Kilonewton <-- Rankine’s Critical Load
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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

Rankine's Formula Calculators

Cross-Sectional Area of Column given Crippling Load and Rankine's Constant
​ LaTeX ​ Go Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress
Crippling Load given Rankine's Constant
​ LaTeX ​ Go Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)
Crippling Load by Rankine's
​ LaTeX ​ Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)
Cross-Sectional Area of Column given Crushing Load
​ LaTeX ​ Go Column Cross Sectional Area = Crushing Load/Column Crushing Stress

Crippling Load by Rankine's Formula

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

What is Crippling Load?

The Crippling Load, also known as the Critical Load or Buckling Load, refers to the maximum load a structural member, such as a column or slender element, can carry before it experiences buckling or instability.

How to Calculate Crippling Load by Rankine's?

Crippling Load by Rankine's calculator uses Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load) to calculate the Rankine’s Critical Load, The Crippling Load by Rankine's formula is defined as the maximum load that a column can withstand without collapsing, considering the crushing load and the external load, and is a fundamental concept in Euler and Rankine's Theory, widely used in structural analysis and design of columns. Rankine’s Critical Load is denoted by Pr symbol.

How to calculate Crippling Load by Rankine's using this online calculator? To use this online calculator for Crippling Load by Rankine's, enter Crushing Load (Pc) & Euler’s Buckling Load (PE) and hit the calculate button. Here is how the Crippling Load by Rankine's calculation can be explained with given input values -> 0.747846 = (1500000*1491407)/(1500000+1491407).

FAQ

What is Crippling Load by Rankine's?
The Crippling Load by Rankine's formula is defined as the maximum load that a column can withstand without collapsing, considering the crushing load and the external load, and is a fundamental concept in Euler and Rankine's Theory, widely used in structural analysis and design of columns and is represented as Pr = (Pc*PE)/(Pc+PE) or Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load). Crushing Load is the maximum load or force that a material or structure can withstand before it undergoes failure due to crushing & The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.
How to calculate Crippling Load by Rankine's?
The Crippling Load by Rankine's formula is defined as the maximum load that a column can withstand without collapsing, considering the crushing load and the external load, and is a fundamental concept in Euler and Rankine's Theory, widely used in structural analysis and design of columns is calculated using Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load). To calculate Crippling Load by Rankine's, you need Crushing Load (Pc) & Euler’s Buckling Load (PE). With our tool, you need to enter the respective value for Crushing Load & Euler’s Buckling Load 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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