Rankine's Constant given Crippling Load Calculator

✖Column Crushing stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.ⓘ Column Crushing Stress [σ_c]			+10% -10%
✖Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Column Cross Sectional Area [A]			+10% -10%
✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load [P]			+10% -10%
✖Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration Column [r_least]			+10% -10%
✖Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Effective Column Length [L_eff]			+10% -10%

✖Rankine's Constant is the constant of Rankine's empirical formula.ⓘ Rankine's Constant given Crippling Load [α]

⎘ Copy

👎

Formula

✖

Rankine's Constant given Crippling Load

Formula

`"α" = (("σ"_{"c"}*"A")/"P"-1)*(("r"_{"least"})/"L"_{"eff"})^2`

Example

`"0.00038"=(("750MPa"*"2000mm²")/"588.9524kN"-1)*(("47.02mm")/"3000mm")^2`

Calculator

LaTeX

Reset

👍

Download Euler and Rankine's Theory Formulas PDF

Rankine's Constant given Crippling Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2
α = ((σ_c*A)/P-1)*((r_least)/L_eff)^2
This formula uses 6 Variables

Variables Used

Rankine's Constant - Rankine's Constant is the constant of Rankine's empirical formula.
Column Crushing Stress - (Measured in Pascal) - Column Crushing stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.
Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Least Radius of Gyration Column - (Measured in Meter) - Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.
Effective Column Length - (Measured in Meter) - Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.

STEP 1: Convert Input(s) to Base Unit

Column Crushing Stress: 750 Megapascal --> 750000000 Pascal (Check conversion here)
Column Cross Sectional Area: 2000 Square Millimeter --> 0.002 Square Meter (Check conversion here)
Crippling Load: 588.9524 Kilonewton --> 588952.4 Newton (Check conversion here)
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = ((σ_c*A)/P-1)*((r_least)/L_eff)^2 --> ((750000000*0.002)/588952.4-1)*((0.04702)/3)^2

Evaluating ... ...

α = 0.000380000014018684

STEP 3: Convert Result to Output's Unit

0.000380000014018684 --> No Conversion Required

FINAL ANSWER

0.000380000014018684 ≈ 0.00038 <-- Rankine's Constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Euler and Rankine's Theory » Rankine's Constant given Crippling Load

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

Rankine's Constant given Crippling Load Formula

Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2
α = ((σ_c*A)/P-1)*((r_least)/L_eff)^2

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 Rankine's Constant given Crippling Load?

Rankine's Constant given Crippling Load calculator uses Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2 to calculate the Rankine's Constant, The Rankine's Constant given Crippling Load formula is defined as the constant obtained in Rankine's empirical formula. Rankine's constant is 1/1600, FOS 3. One end is fixed and the other is free. Rankine's Constant is denoted by α symbol.

How to calculate Rankine's Constant given Crippling Load using this online calculator? To use this online calculator for Rankine's Constant given Crippling Load, enter Column Crushing Stress (σ_c), Column Cross Sectional Area (A), Crippling Load (P), Least Radius of Gyration Column (r_least) & Effective Column Length (L_eff) and hit the calculate button. Here is how the Rankine's Constant given Crippling Load calculation can be explained with given input values -> 0.00038 = ((750000000*0.002)/588952.4-1)*((0.04702)/3)^2.

FAQ

What is Rankine's Constant given Crippling Load?

The Rankine's Constant given Crippling Load formula is defined as the constant obtained in Rankine's empirical formula. Rankine's constant is 1/1600, FOS 3. One end is fixed and the other is free and is represented as α = ((σ_c*A)/P-1)*((r_least)/L_eff)^2 or Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2. Column Crushing stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest, Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point, Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself, Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations & Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.

How to calculate Rankine's Constant given Crippling Load?

The Rankine's Constant given Crippling Load formula is defined as the constant obtained in Rankine's empirical formula. Rankine's constant is 1/1600, FOS 3. One end is fixed and the other is free is calculated using Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2. To calculate Rankine's Constant given Crippling Load, you need Column Crushing Stress (σ_c), Column Cross Sectional Area (A), Crippling Load (P), Least Radius of Gyration Column (r_least) & Effective Column Length (L_eff). With our tool, you need to enter the respective value for Column Crushing Stress, Column Cross Sectional Area, Crippling Load, Least Radius of Gyration Column & Effective Column Length 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 Rankine's Constant?

In this formula, Rankine's Constant uses Column Crushing Stress, Column Cross Sectional Area, Crippling Load, Least Radius of Gyration Column & Effective Column Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)
Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)

Home

FREE PDFs

🔍 Search