Modulus of Elasticity 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%
✖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 Hinged [E]

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

Formula

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

Example

`"67.84901MPa"=("3kN"*("5000mm")^2)/(2*pi^2*"5600cm⁴")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(2*pi^2*Moment of Inertia Column)
E = (P*l^2)/(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)/(2*pi^2*I) --> (3000*5^2)/(2*pi^2*5.6E-05)

Evaluating ... ...

E = 67849006.9033512

STEP 3: Convert Result to Output's Unit

67849006.9033512 Pascal -->67.8490069033512 Megapascal (Check conversion here)

FINAL ANSWER

67.8490069033512 ≈ 67.84901 Megapascal <-- Modulus of Elasticity of 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)

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

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

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

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Hinged calculator uses Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(2*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 hinged formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch. 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 Hinged 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 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 if One End of Column is Fixed and Other is Hinged calculation can be explained with given input values -> 6.8E-5 = (3000*5^2)/(2*pi^2*5.6E-05).

FAQ

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

The Modulus of elasticity given crippling load if one end of column is fixed and other is hinged formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch and is represented as E = (P*l^2)/(2*pi^2*I) or Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(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 if One End of Column is Fixed and Other is Hinged?

The Modulus of elasticity given crippling load if one end of column is fixed and other is hinged formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch is calculated using Modulus of Elasticity of Column = (Column Crippling Load*Column Length^2)/(2*pi^2*Moment of Inertia Column). To calculate Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is 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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