Modulus of Elasticity 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%
✖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 Both Ends of Column are Fixed [E]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Expressions For Crippling Load Formulas PDF PDF Image

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed 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)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Expressions For Crippling Load » Mechanical » Both Ends of Column are Fixed » Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Both Ends of Column are Fixed Calculators

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

LaTeX 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

LaTeX 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

LaTeX Go Fixed End Moment = Moment of Section+Column Crippling Load*Deflection at Section

Moment of Section if Both Ends of Column are Fixed

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

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed Formula

LaTeX Go

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 if Both Ends of Column are Fixed?

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed 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, Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed formula is defined as a measure of the ratio of stress and strain within the proportional limit of an object, describing the material's stiffness and ability to resist deformation under axial loading. Modulus of Elasticity of Column is denoted by E symbol.

How to calculate Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed using this online calculator? To use this online calculator for Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed, 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 Both Ends of Column are Fixed 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 if Both Ends of Column are Fixed?

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed formula is defined as a measure of the ratio of stress and strain within the proportional limit of an object, describing the material's stiffness and ability to resist deformation under axial loading 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 if Both Ends of Column are Fixed?

Modulus of Elasticity given Crippling Load if Both Ends of Column are Fixed formula is defined as a measure of the ratio of stress and strain within the proportional limit of an object, describing the material's stiffness and ability to resist deformation under axial loading 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 if Both Ends of Column are Fixed, 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.

Home

FREE PDFs

🔍 Search