Ultimate Crushing Stress given Rankine's Constant Calculator

✖Rankine's Constant is the constant of Rankine's empirical formula.ⓘ Rankine's Constant [α]			+10% -10%
✖Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity Column [E]			+10% -10%

✖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.ⓘ Ultimate Crushing Stress given Rankine's Constant [σ_c]

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Formula

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Ultimate Crushing Stress given Rankine's Constant

Formula

`"σ"_{"c"} = "α"*pi^2*"E"`

Example

`"750.0899MPa"="0.00038"*pi^2*"200000MPa"`

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Download Euler and Rankine's Theory Formulas PDF

Ultimate Crushing Stress given Rankine's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Rankine's Constant - Rankine's Constant is the constant of Rankine's empirical formula.
Modulus of Elasticity Column - (Measured in Pascal) - Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.

STEP 1: Convert Input(s) to Base Unit

Rankine's Constant: 0.00038 --> No Conversion Required
Modulus of Elasticity Column: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = α*pi^2*E --> 0.00038*pi^2*200000000000

Evaluating ... ...

σ_c = 750089934.482791

STEP 3: Convert Result to Output's Unit

750089934.482791 Pascal -->750.089934482791 Megapascal (Check conversion here)

FINAL ANSWER

750.089934482791 ≈ 750.0899 Megapascal <-- Column Crushing Stress

(Calculation completed in 00.004 seconds)

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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

Ultimate Crushing Stress given Rankine's Constant Formula

Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column
σ_c = α*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 Ultimate Crushing Stress given Rankine's Constant?

Ultimate Crushing Stress given Rankine's Constant calculator uses Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column to calculate the Column Crushing Stress, The Ultimate Crushing Stress given Rankine's Constant formula is defined as 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 is denoted by σ_c symbol.

How to calculate Ultimate Crushing Stress given Rankine's Constant using this online calculator? To use this online calculator for Ultimate Crushing Stress given Rankine's Constant, enter Rankine's Constant (α) & Modulus of Elasticity Column (E) and hit the calculate button. Here is how the Ultimate Crushing Stress given Rankine's Constant calculation can be explained with given input values -> 0.00075 = 0.00038*pi^2*200000000000.

FAQ

What is Ultimate Crushing Stress given Rankine's Constant?

The Ultimate Crushing Stress given Rankine's Constant formula is defined as a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest and is represented as σ_c = α*pi^2*E or Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column. Rankine's Constant is the constant of Rankine's empirical formula & Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.

How to calculate Ultimate Crushing Stress given Rankine's Constant?

The Ultimate Crushing Stress given Rankine's Constant formula is defined as a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest is calculated using Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column. To calculate Ultimate Crushing Stress given Rankine's Constant, you need Rankine's Constant (α) & Modulus of Elasticity Column (E). With our tool, you need to enter the respective value for Rankine's Constant & 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 Column Crushing Stress?

In this formula, Column Crushing Stress uses Rankine's Constant & Modulus of Elasticity Column. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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