Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column)
E = (P*l^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 of Column - (Measured in Pascal) - Modulus of Elasticity of Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.
Column Crippling Load - (Measured in Newton) - Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Column Length - (Measured in Meter) - Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.
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
Column Crippling Load: 3 Kilonewton --> 3000 Newton (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)
Moment of Inertia Column: 5600 Centimeter⁴ --> 5.6E-05 Meter⁴ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (P*l^2)/(pi^2*I) --> (3000*5^2)/(pi^2*5.6E-05)
Evaluating ... ...
E = 135698013.806702
STEP 3: Convert Result to Output's Unit
135698013.806702 Pascal -->135.698013806702 Megapascal (Check conversion here)
FINAL ANSWER
135.698013806702 135.698 Megapascal <-- Modulus of Elasticity of Column
(Calculation completed in 00.004 seconds)

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8 Both Ends of Column are Fixed Calculators

Length of Column given Crippling Load if Both Ends of Column are Fixed
Go Column Length = sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load))
Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed
Go Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column)
Moment of Inertia given Crippling Load if Both Ends of Column are Fixed
Go Moment of Inertia Column = (Column Crippling Load*Column Length^2)/(pi^2*Modulus of Elasticity of Column)
Crippling Load if Both Ends of Column are Fixed
Go Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/Column Length^2
Deflection at Section given Moment of Section if Both Ends of Column are Fixed
Go Deflection at Section = (Fixed End Moment-Moment of Section)/Column Crippling Load
Crippling Load given Moment of Section if Both Ends of Column are Fixed
Go Column Crippling Load = (Fixed End Moment-Moment of Section)/Deflection at Section
Moment of Fixed Ends given Moment of Section if Both Ends of Column are Fixed
Go Fixed End Moment = Moment of Section+Column Crippling Load*Deflection at Section
Moment of Section if Both Ends of Column are Fixed
Go Moment of Section = Fixed End Moment-Column Crippling Load*Deflection at Section

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Formula

Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column)
E = (P*l^2)/(pi^2*I)

What is buckling or crippling load?

In structural engineering, buckling is the sudden change in shape (deformation) of a structural component under loads, such as the bowing of a column under compression or the wrinkling of a plate under shear.

How to Calculate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed?

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed calculator uses Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column) to calculate the Modulus of Elasticity of Column, The Modulus of elasticity given crippling load if both ends of column are fixed 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 of Column is denoted by E symbol.

How to calculate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed using this online calculator? To use this online calculator for Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed, enter Column Crippling Load (P), Column Length (l) & Moment of Inertia Column (I) and hit the calculate button. Here is how the Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed calculation can be explained with given input values -> 0.000136 = (3000*5^2)/(pi^2*5.6E-05).

FAQ

What is Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed?
The Modulus of elasticity given crippling load if both ends of column are fixed 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 = (P*l^2)/(pi^2*I) or Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column). Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself, Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions & 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 if Both Ends of Column are Fixed?
The Modulus of elasticity given crippling load if both ends of column are fixed 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 of Column = (Column Crippling Load*Column Length^2)/(pi^2*Moment of Inertia Column). To calculate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed, you need Column Crippling Load (P), Column Length (l) & Moment of Inertia Column (I). With our tool, you need to enter the respective value for Column Crippling Load, 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.
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