Rankine's Constant 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%
✖Modulus of Elasticity Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity Column [E]			+10% -10%

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

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Rankine's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)
α = σ_c/(pi^2*E)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Modulus of Elasticity Column - (Measured in Pascal) - Modulus of Elasticity Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.

STEP 1: Convert Input(s) to Base Unit

Column Crushing Stress: 750 Megapascal --> 750000000 Pascal (Check conversion here)
Modulus of Elasticity Column: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = σ_c/(pi^2*E) --> 750000000/(pi^2*200000000000)

Evaluating ... ...

α = 0.000379954438658767

STEP 3: Convert Result to Output's Unit

0.000379954438658767 --> No Conversion Required

FINAL ANSWER

0.000379954438658767 ≈ 0.00038 <-- Rankine's Constant

(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

Rankine's Constant Formula

LaTeX Go

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

Rankine's Constant calculator uses Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column) to calculate the Rankine's Constant, The Rankine's Constant formula is defined as a fundamental value in the Euler and Rankine's Theory, representing the relationship between the critical stress of a column and its modulus of elasticity, providing a crucial parameter in structural analysis and engineering design. Rankine's Constant is denoted by α symbol.

How to calculate Rankine's Constant using this online calculator? To use this online calculator for Rankine's Constant, enter Column Crushing Stress (σ_c) & Modulus of Elasticity Column (E) and hit the calculate button. Here is how the Rankine's Constant calculation can be explained with given input values -> 0.00038 = 750000000/(pi^2*200000000000).

FAQ

What is Rankine's Constant?

The Rankine's Constant formula is defined as a fundamental value in the Euler and Rankine's Theory, representing the relationship between the critical stress of a column and its modulus of elasticity, providing a crucial parameter in structural analysis and engineering design and is represented as α = σ_c/(pi^2*E) or Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column). 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 & Modulus of Elasticity Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.

How to calculate Rankine's Constant?

The Rankine's Constant formula is defined as a fundamental value in the Euler and Rankine's Theory, representing the relationship between the critical stress of a column and its modulus of elasticity, providing a crucial parameter in structural analysis and engineering design is calculated using Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column). To calculate Rankine's Constant, you need Column Crushing Stress (σ_c) & Modulus of Elasticity Column (E). With our tool, you need to enter the respective value for Column Crushing Stress & Modulus of Elasticity Column 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 & Modulus of Elasticity Column. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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