Moment of Inertia 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%
✖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 of Column [E]			+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 given Crippling Load if One End of Column is Fixed and Other is Free [I]

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

Formula

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

Example

`"287844.3cm⁴"=(4*("5000mm")^2*"3kN")/(pi^2*"10.56MPa")`

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Download Expressions For Crippling Load Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of Column)
I = (4*l^2*P)/(pi^2*E)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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)
Modulus of Elasticity of Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (4*l^2*P)/(pi^2*E) --> (4*5^2*3000)/(pi^2*10560000)

Evaluating ... ...

I = 0.00287844271711187

STEP 3: Convert Result to Output's Unit

0.00287844271711187 Meter⁴ -->287844.271711187 Centimeter⁴ (Check conversion here)

FINAL ANSWER

287844.271711187 ≈ 287844.3 Centimeter⁴ <-- Moment of Inertia Column

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Expressions For Crippling Load » One End of Column is Fixed and Other is Free » Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free

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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

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

Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of Column)
I = (4*l^2*P)/(pi^2*E)

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

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free calculator uses Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of Column) to calculate the Moment of Inertia Column, The Moment of inertia given crippling load if one end of column is fixed and other is free formula is defined as the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force). Moment of Inertia Column is denoted by I symbol.

How to calculate Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free using this online calculator? To use this online calculator for Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free, enter Column Length (l), Column Crippling Load (P) & Modulus of Elasticity of Column (E) and hit the calculate button. Here is how the Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free calculation can be explained with given input values -> 2.9E+13 = (4*5^2*3000)/(pi^2*10560000).

FAQ

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

The Moment of inertia given crippling load if one end of column is fixed and other is free formula is defined as the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force) and is represented as I = (4*l^2*P)/(pi^2*E) or Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of 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 & 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.

How to calculate Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free?

The Moment of inertia given crippling load if one end of column is fixed and other is free formula is defined as the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force) is calculated using Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of Column). To calculate Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free, you need Column Length (l), Column Crippling Load (P) & Modulus of Elasticity of Column (E). With our tool, you need to enter the respective value for Column Length, Column Crippling Load & Modulus of Elasticity of 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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