Moment of Inertia given Crippling Load if Both Ends of Column are Fixed Calculator

✖Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Column Crippling Load [P]			+10% -10%
✖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%
✖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 Both Ends of Column are Fixed [I]

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Formula

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Moment of Inertia given Crippling Load if Both Ends of Column are Fixed

Formula

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

Example

`"71961.07cm⁴"=("3kN"*("5000mm")^2)/(pi^2*"10.56MPa")`

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Download Expressions For Crippling Load Formulas PDF

Moment of Inertia given Crippling Load if Both Ends of Column are Fixed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia Column = (Column Crippling Load*Column Length^2)/(pi^2*Modulus of Elasticity of Column)
I = (P*l^2)/(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 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.
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 Crippling Load: 3 Kilonewton --> 3000 Newton (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (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 = (P*l^2)/(pi^2*E) --> (3000*5^2)/(pi^2*10560000)

Evaluating ... ...

I = 0.000719610679277967

STEP 3: Convert Result to Output's Unit

0.000719610679277967 Meter⁴ -->71961.0679277967 Centimeter⁴ (Check conversion here)

FINAL ANSWER

71961.0679277967 ≈ 71961.07 Centimeter⁴ <-- Moment of Inertia 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

Moment of Inertia given Crippling Load if Both Ends of Column are Fixed Formula

Moment of Inertia Column = (Column Crippling Load*Column Length^2)/(pi^2*Modulus of Elasticity of Column)
I = (P*l^2)/(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 Both Ends of Column are Fixed?

Moment of Inertia given Crippling Load if Both Ends of Column are Fixed calculator uses Moment of Inertia Column = (Column Crippling Load*Column Length^2)/(pi^2*Modulus of Elasticity of Column) to calculate the Moment of Inertia Column, The Moment of inertia given crippling load if both ends of column are fixed 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 Both Ends of Column are Fixed using this online calculator? To use this online calculator for Moment of Inertia given Crippling Load if Both Ends of Column are Fixed, enter Column Crippling Load (P), Column Length (l) & Modulus of Elasticity of Column (E) and hit the calculate button. Here is how the Moment of Inertia given Crippling Load if Both Ends of Column are Fixed calculation can be explained with given input values -> 7.2E+12 = (3000*5^2)/(pi^2*10560000).

FAQ

What is Moment of Inertia given Crippling Load if Both Ends of Column are Fixed?

The Moment of inertia given crippling load if both ends of column are fixed 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 = (P*l^2)/(pi^2*E) or Moment of Inertia Column = (Column Crippling Load*Column Length^2)/(pi^2*Modulus of Elasticity of 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 & 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 Both Ends of Column are Fixed?

The Moment of inertia given crippling load if both ends of column are fixed 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 = (Column Crippling Load*Column Length^2)/(pi^2*Modulus of Elasticity of Column). To calculate Moment of Inertia given Crippling Load if Both Ends of Column are Fixed, you need Column Crippling Load (P), Column Length (l) & Modulus of Elasticity of Column (E). With our tool, you need to enter the respective value for Column Crippling Load, Column Length & 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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