Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Hinged 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 One End of Column is Fixed and Other is Hinged [I]

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

Formula

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

Example

`"35980.53cm⁴"=("3kN"*("5000mm")^2)/(2*pi^2*"10.56MPa")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia Column = (Column Crippling Load*Column Length^2)/(2*pi^2*Modulus of Elasticity of Column)
I = (P*l^2)/(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)/(2*pi^2*E) --> (3000*5^2)/(2*pi^2*10560000)

Evaluating ... ...

I = 0.000359805339638984

STEP 3: Convert Result to Output's Unit

0.000359805339638984 Meter⁴ -->35980.5339638984 Centimeter⁴ (Check conversion here)

FINAL ANSWER

35980.5339638984 ≈ 35980.53 Centimeter⁴ <-- Moment of Inertia Column

(Calculation completed in 00.004 seconds)

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< 9 One End of Column is Fixed and Other is Hinged Calculators

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

Go Deflection at Section = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Column Crippling Load

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

Go Column Crippling Load = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section

Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged

Go Horizontal Reaction = (Moment of Section+Column Crippling Load*Deflection at Section)/(Column Length-Distance b/w Fixed End and Deflection Point)

Moment at Section if One End of Column is Fixed and Other is Hinged

Go Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point)

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged

Go Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point

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

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

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

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

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

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

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

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

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

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

What is meant by effective length of a column also define slenderness ratio?

The effective length of the column is the length of an equivalent column of the same material and cross-sectional area with hinged ends and having the value of the crippling load equal to that of the given column. The least radius of gyration is the radius of gyration where the least moment of inertia is considered.

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

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Hinged calculator uses Moment of Inertia Column = (Column Crippling Load*Column Length^2)/(2*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 hinged formula is defined as 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 Hinged 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 Hinged, 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 One End of Column is Fixed and Other is Hinged calculation can be explained with given input values -> 3.6E+12 = (3000*5^2)/(2*pi^2*10560000).

FAQ

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

The Moment of inertia given crippling load if one end of column is fixed and other is hinged formula is defined as 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)/(2*pi^2*E) or Moment of Inertia Column = (Column Crippling Load*Column Length^2)/(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 One End of Column is Fixed and Other is Hinged?

The Moment of inertia given crippling load if one end of column is fixed and other is hinged formula is defined as 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)/(2*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 Hinged, 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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