Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Calculator

✖Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Column Length [l]			+10% -10%
✖Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Column Crippling Load [P]			+10% -10%
✖Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia Column [I]			+10% -10%

✖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.ⓘ Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free [E]

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Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free

Formula

`"E" = (4*"l"^2*"P")/(pi^2*"I")`

Example

`"542.7921MPa"=(4*("5000mm")^2*"3kN")/(pi^2*"5600cm⁴")`

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Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column)
E = (4*l^2*P)/(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 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.
Column Crippling Load - (Measured in Newton) - Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
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 Length: 5000 Millimeter --> 5 Meter (Check conversion here)
Column Crippling Load: 3 Kilonewton --> 3000 Newton (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 = (4*l^2*P)/(pi^2*I) --> (4*5^2*3000)/(pi^2*5.6E-05)

Evaluating ... ...

E = 542792055.22681

STEP 3: Convert Result to Output's Unit

542792055.22681 Pascal -->542.792055226809 Megapascal (Check conversion here)

FINAL ANSWER

542.792055226809 ≈ 542.7921 Megapascal <-- Modulus of Elasticity of Column

(Calculation completed in 00.004 seconds)

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< 8 One End of Column is Fixed and Other is Free Calculators

Length of Column given Crippling Load if One End of Column is Fixed and Other is Free

Go Column Length = sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(4*Column Crippling Load))

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free

Go Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column)

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free

Go Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of Column)

Crippling Load if One End of Column is Fixed and Other is Free

Go Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(4*Column Length^2)

Moment of Section due to Crippling Load if One End of Column is Fixed and Other is Free

Go Moment of Section = Column Crippling Load*(Deflection of Free End-Deflection at Section)

Crippling Load given Moment of Section if One End of Column is Fixed and Other is Free

Go Column Crippling Load = Moment of Section/(Deflection of Free End-Deflection at Section)

Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free

Go Deflection of Free End = Moment of Section/Column Crippling Load+Deflection at Section

Deflection of Section given Moment of Section if One End of Column is Fixed and Other is Free

Go Deflection at Section = Deflection of Free End-Moment of Section/Column Crippling Load

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free Formula

Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column)
E = (4*l^2*P)/(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 One End of Column is Fixed and Other is Free?

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free calculator uses Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column) to calculate the Modulus of Elasticity of Column, The Modulus of elasticity given crippling load if one end of column is fixed and other is free 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 One End of Column is Fixed and Other is Free using this online calculator? To use this online calculator for Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free, enter Column Length (l), Column Crippling Load (P) & Moment of Inertia Column (I) and hit the calculate button. Here is how the Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free calculation can be explained with given input values -> 0.000543 = (4*5^2*3000)/(pi^2*5.6E-05).

FAQ

What is Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free?

The Modulus of elasticity given crippling load if one end of column is fixed and other is free 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 = (4*l^2*P)/(pi^2*I) or Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column). Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions, Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself & 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 One End of Column is Fixed and Other is Free?

The Modulus of elasticity given crippling load if one end of column is fixed and other is free 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 = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column). To calculate Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free, you need Column Length (l), Column Crippling Load (P) & Moment of Inertia Column (I). With our tool, you need to enter the respective value for Column Length, Column Crippling Load & 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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