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 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.
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)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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

14 Rankine's Formula 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)
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 Rankine's Formula
Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)
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

Crushing Load by Rankine's Formula Formula

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 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 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 formula is defined as the intensity of load required to crush the material. The crushing load of a material can be found by taking out the crushing stress test. 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 formula is defined as the intensity of load required to crush the material. The crushing load of a material can be found by taking out the crushing stress test 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). The 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 formula is defined as the intensity of load required to crush the material. The crushing load of a material can be found by taking out the crushing stress test 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!