Modulus of Elasticity given 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%
✖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 column's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity given Rankine's Constant [E]

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Modulus of Elasticity given Rankine's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Column Crushing Stress: 750 Megapascal --> 750000000 Pascal (Check conversion here)
Rankine's Constant: 0.00038 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = σ_c/(pi^2*α) --> 750000000/(pi^2*0.00038)

Evaluating ... ...

E = 199976020346.719

STEP 3: Convert Result to Output's Unit

199976020346.719 Pascal -->199976.020346719 Megapascal (Check conversion here)

FINAL ANSWER

199976.020346719 ≈ 199976 Megapascal <-- Modulus of Elasticity Column

(Calculation completed in 00.004 seconds)

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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

Modulus of Elasticity given Rankine's Constant Formula

LaTeX Go

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

What is Young's Modulus of Elasticity?

The Young's Modulus of Elasticity (E), commonly referred to as Young's Modulus, is a fundamental mechanical property that measures the stiffness or elasticity of a material. It defines the relationship between stress (force per unit area) and strain (deformation in response to stress) in a material under tension or compression within the elastic limit (the range where the material returns to its original shape after the load is removed).

How to Calculate Modulus of Elasticity given Rankine's Constant?

Modulus of Elasticity given Rankine's Constant calculator uses Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant) to calculate the Modulus of Elasticity Column, The Modulus of Elasticity given Rankine's Constant formula is defined as a measure of the stiffness of a material, which is a fundamental property in the theory of elasticity, describing the material's ability to resist deformation under stress. Modulus of Elasticity Column is denoted by E symbol.

How to calculate Modulus of Elasticity given Rankine's Constant using this online calculator? To use this online calculator for Modulus of Elasticity given Rankine's Constant, enter Column Crushing Stress (σ_c) & Rankine's Constant (α) and hit the calculate button. Here is how the Modulus of Elasticity given Rankine's Constant calculation can be explained with given input values -> 0.199976 = 750000000/(pi^2*0.00038).

FAQ

What is Modulus of Elasticity given Rankine's Constant?

The Modulus of Elasticity given Rankine's Constant formula is defined as a measure of the stiffness of a material, which is a fundamental property in the theory of elasticity, describing the material's ability to resist deformation under stress and is represented as E = σ_c/(pi^2*α) or Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant). 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 is the constant of Rankine's empirical formula.

How to calculate Modulus of Elasticity given Rankine's Constant?

The Modulus of Elasticity given Rankine's Constant formula is defined as a measure of the stiffness of a material, which is a fundamental property in the theory of elasticity, describing the material's ability to resist deformation under stress is calculated using Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant). To calculate Modulus of Elasticity given Rankine's Constant, you need Column Crushing Stress (σ_c) & Rankine's Constant (α). With our tool, you need to enter the respective value for Column Crushing Stress & Rankine's Constant 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 Modulus of Elasticity Column?

In this formula, Modulus of Elasticity Column uses Column Crushing Stress & Rankine's Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)

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