Crushing Load by Rankine's Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load)
Pc = (Pr*PE)/(PE-Pr)
This formula uses 3 Variables
Variables Used
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.
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
Rankine’s Critical Load: 747.8456 Kilonewton --> 747845.6 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
Pc = (Pr*PE)/(PE-Pr) --> (747845.6*1491407)/(1491407-747845.6)
Evaluating ... ...
Pc = 1500000.08440352
STEP 3: Convert Result to Output's Unit
1500000.08440352 Newton -->1500.00008440352 Kilonewton (Check conversion ​here)
FINAL ANSWER
1500.00008440352 1500 Kilonewton <-- Crushing Load
(Calculation completed in 00.020 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

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

Crushing Load by Rankine's Formula Formula

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

What is Crushing Load?

Crushing Load refers to the maximum compressive force that a structural member, like a column or pillar, can withstand before it experiences compressive failure or material crushing. It occurs when the stress caused by the applied load exceeds the material’s compressive strength, leading to permanent deformation, fracturing, or complete collapse.

How to Calculate Crushing Load by Rankine's Formula?

Crushing Load by Rankine's Formula calculator uses Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load) to calculate the Crushing Load, The Crushing Load by Rankine's Formula is defined as the maximum load that a column can withstand without collapsing, taking into account the external load and the internal resistance of the column, and is a critical concept in the design of columns and other structural elements in engineering and architecture. Crushing Load is denoted by Pc symbol.

How to calculate Crushing Load by Rankine's Formula using this online calculator? To use this online calculator for Crushing Load by Rankine's Formula, enter Rankine’s Critical Load (Pr) & Euler’s Buckling Load (PE) and hit the calculate button. Here is how the Crushing Load by Rankine's Formula calculation can be explained with given input values -> 1.5 = (747845.6*1491407)/(1491407-747845.6).

FAQ

What is Crushing Load by Rankine's Formula?
The Crushing Load by Rankine's Formula is defined as the maximum load that a column can withstand without collapsing, taking into account the external load and the internal resistance of the column, and is a critical concept in the design of columns and other structural elements in engineering and architecture and is represented as Pc = (Pr*PE)/(PE-Pr) or Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load). Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend & The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.
How to calculate Crushing Load by Rankine's Formula?
The Crushing Load by Rankine's Formula is defined as the maximum load that a column can withstand without collapsing, taking into account the external load and the internal resistance of the column, and is a critical concept in the design of columns and other structural elements in engineering and architecture is calculated using Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load). To calculate Crushing Load by Rankine's Formula, you need Rankine’s Critical Load (Pr) & Euler’s Buckling Load (PE). With our tool, you need to enter the respective value for Rankine’s Critical 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.
How many ways are there to calculate Crushing Load?
In this formula, Crushing Load uses Rankine’s Critical Load & Euler’s Buckling Load. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Crushing Load = Column Crushing Stress*Column Cross Sectional Area
  • Crushing Load = Column Crushing Stress*Column Cross Sectional Area
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