Modulus of Elasticity given Crippling Load by Euler's Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)
E = (PE*Leff^2)/(pi^2*I)
This formula uses 1 Constants, 4 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 an object or substance's resistance to being deformed elastically when stress is applied to it.
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.
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.
Moment of Inertia Column - (Measured in Meter⁴) - Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis.
STEP 1: Convert Input(s) to Base Unit
Euler’s Buckling Load: 1491.407 Kilonewton --> 1491407 Newton (Check conversion here)
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)
Moment of Inertia Column: 6800000 Millimeter⁴ --> 6.8E-06 Meter⁴ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (PE*Leff^2)/(pi^2*I) --> (1491407*3^2)/(pi^2*6.8E-06)
Evaluating ... ...
E = 200000015116.502
STEP 3: Convert Result to Output's Unit
200000015116.502 Pascal -->200000.015116502 Megapascal (Check conversion here)
FINAL ANSWER
200000.015116502 200000 Megapascal <-- Modulus of Elasticity Column
(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

5 Crippling Load by Euler's Formula Calculators

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))
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)
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 Crippling Load by Euler's Formula Formula

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

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 Modulus of Elasticity given Crippling Load by Euler's Formula?

Modulus of Elasticity given Crippling Load by Euler's Formula calculator uses Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column) to calculate the Modulus of Elasticity Column, The Modulus of elasticity given crippling load by Euler's formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Modulus of Elasticity Column is denoted by E symbol.

How to calculate Modulus of Elasticity given Crippling Load by Euler's Formula using this online calculator? To use this online calculator for Modulus of Elasticity given Crippling Load by Euler's Formula, enter Euler’s Buckling Load (PE), Effective Column Length (Leff) & Moment of Inertia Column (I) and hit the calculate button. Here is how the Modulus of Elasticity given Crippling Load by Euler's Formula calculation can be explained with given input values -> 0.2 = (1491407*3^2)/(pi^2*6.8E-06).

FAQ

What is Modulus of Elasticity given Crippling Load by Euler's Formula?
The Modulus of elasticity given crippling load by Euler's formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it and is represented as E = (PE*Leff^2)/(pi^2*I) or Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column). The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend, 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 & Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis.
How to calculate Modulus of Elasticity given Crippling Load by Euler's Formula?
The Modulus of elasticity given crippling load by Euler's formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it is calculated using Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column). To calculate Modulus of Elasticity given Crippling Load by Euler's Formula, you need Euler’s Buckling Load (PE), Effective Column Length (Leff) & Moment of Inertia Column (I). With our tool, you need to enter the respective value for Euler’s Buckling Load, Effective Column Length & Moment of Inertia 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 Modulus of Elasticity Column?
In this formula, Modulus of Elasticity Column uses Euler’s Buckling Load, Effective Column Length & Moment of Inertia Column. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant)
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