Crippling Load by Rankine's Formula Calculator

✖Crushing Load is the intensity of load required to crush the material.ⓘ Crushing Load [P_c]			+10% -10%
✖The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.ⓘ Euler’s Buckling Load [P_E]			+10% -10%

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

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Formula

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Crippling Load by Rankine's Formula

Formula

`"P"_{"r"} = ("P"_{"c"}*"P"_{"E"})/("P"_{"c"}+"P"_{"E"})`

Example

`"747.8456kN"=("1500kN"*"1491.407kN")/("1500kN"+"1491.407kN")`

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Crippling Load by Rankine's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Crushing Load - (Measured in Newton) - Crushing Load is the intensity of load required to crush the material.
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

P_r = (P_c*P_E)/(P_c+P_E) --> (1500000*1491407)/(1500000+1491407)

Evaluating ... ...

P_r = 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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< 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

Crippling Load by Rankine's Formula Formula

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

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 Rankine's Formula?

Crippling Load by Rankine's Formula 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 load over which a column prefers to deform laterally rather than compressing itself. Rankine’s Critical Load is denoted by P_r symbol.

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

FAQ

What is Crippling Load by Rankine's Formula?

The 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 P_r = (P_c*P_E)/(P_c+P_E) or Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load). Crushing Load is the intensity of load required to crush the material & 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 Formula?

The 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 Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load). To calculate Crippling Load by Rankine's Formula, you need Crushing Load (P_c) & Euler’s Buckling Load (P_E). 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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