Modulus of Elasticity given Crippling Load with Both Ends of Column 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%
✖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 with Both Ends of Column Hinged [E]

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Formula

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Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged

Formula

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

Example

`"135.698MPa"=("3kN"*("5000mm")^2)/(pi^2*"5600cm⁴")`

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Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged 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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Home » Physics » Strength of Materials » Column And Struts » Expressions For Crippling Load » Both Ends of Columns are Hinged » Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged

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< 7 Both Ends of Columns are Hinged Calculators

Length of Column given Crippling Load with Both Ends of Column Hinged

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

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged

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

Moment of Inertia given Crippling Load with Both Ends of Column Hinged

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

Crippling Load when Both Ends of Column are Hinged

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

Deflection at Section given Moment at Section if Both Ends of Column are Hinged

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

Moment due to Crippling Load at Section if Both Ends of Column are Hinged

Go Moment of Section = -Column Crippling Load*Deflection at Section

Crippling Load given Moment at Section if Both Ends of Column are Hinged

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

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged 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 with Both Ends of Column Hinged?

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged 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 with both ends of column hinged 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 with Both Ends of Column Hinged using this online calculator? To use this online calculator for Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged, 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 with Both Ends of Column Hinged 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 with Both Ends of Column Hinged?

The Modulus of elasticity given crippling load with both ends of column hinged 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 with Both Ends of Column Hinged?

The Modulus of elasticity given crippling load with both ends of column hinged 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 with Both Ends of Column Hinged, 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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