Crippling Stress Calculator

✖Modulus of elasticity of column also known as Young’s modulus, is a measure of a material’s stiffness or rigidity which quantifies the relationship between stress and strain.ⓘ Modulus of Elasticity of Column [ε_c]			+10% -10%
✖Least radius of gyration of column is a critical parameter in structural engineering, representing the smallest radius of gyration among all possible axes of the column’s cross-section.ⓘ Least Radius of Gyration of Column [r]			+10% -10%
✖Effective length of column is the length of an equivalent pin-ended column that has the same load-carrying capacity as the actual column under consideration.ⓘ Effective Length of Column [L_e]			+10% -10%

✖Crippling stress refers to the stress level at which a structural element, such as a column, experiences local instability or failure due to buckling, particularly relevant for thin-walled columns.ⓘ Crippling Stress [σ_crippling]

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Crippling Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crippling Stress = (pi^2*Modulus of Elasticity of Column*Least Radius of Gyration of Column^2)/(Effective Length of Column^2)
σ_crippling = (pi^2*ε_c*r^2)/(L_e^2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Crippling Stress - (Measured in Pascal) - Crippling stress refers to the stress level at which a structural element, such as a column, experiences local instability or failure due to buckling, particularly relevant for thin-walled columns.
Modulus of Elasticity of Column - (Measured in Pascal) - Modulus of elasticity of column also known as Young’s modulus, is a measure of a material’s stiffness or rigidity which quantifies the relationship between stress and strain.
Least Radius of Gyration of Column - (Measured in Meter) - Least radius of gyration of column is a critical parameter in structural engineering, representing the smallest radius of gyration among all possible axes of the column’s cross-section.
Effective Length of Column - (Measured in Meter) - Effective length of column is the length of an equivalent pin-ended column that has the same load-carrying capacity as the actual column under consideration.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)
Least Radius of Gyration of Column: 50 Millimeter --> 0.05 Meter (Check conversion here)
Effective Length of Column: 2500 Millimeter --> 2.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_crippling = (pi^2*ε_c*r^2)/(L_e^2) --> (pi^2*10560000*0.05^2)/(2.5^2)

Evaluating ... ...

σ_crippling = 41689.2089902015

STEP 3: Convert Result to Output's Unit

41689.2089902015 Pascal -->0.0416892089902015 Megapascal (Check conversion here)

FINAL ANSWER

0.0416892089902015 ≈ 0.041689 Megapascal <-- Crippling Stress

(Calculation completed in 00.020 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Crippling Load Calculators

Crippling Load given Effective Length and Radius of Gyration

LaTeX Go Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Column Cross-Sectional Area*Least Radius of Gyration of Column^2)/(Effective Length of Column^2)

Crippling Stress

LaTeX Go Crippling Stress = (pi^2*Modulus of Elasticity of Column*Least Radius of Gyration of Column^2)/(Effective Length of Column^2)

Crippling Load for any type of End Condition

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

Crippling Stress given Crippling Load

LaTeX Go Crippling Stress = Column Crippling Load/Column Cross-Sectional Area

< Crippling Load and Stress Calculators

Crippling Load given Effective Length and Radius of Gyration

LaTeX Go Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Column Cross-Sectional Area*Least Radius of Gyration of Column^2)/(Effective Length of Column^2)

Crippling Stress

LaTeX Go Crippling Stress = (pi^2*Modulus of Elasticity of Column*Least Radius of Gyration of Column^2)/(Effective Length of Column^2)

Crippling Load for any type of End Condition

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

Crippling Stress given Crippling Load

LaTeX Go Crippling Stress = Column Crippling Load/Column Cross-Sectional Area

Crippling Stress Formula

LaTeX Go

Crippling Stress = (pi^2*Modulus of Elasticity of Column*Least Radius of Gyration of Column^2)/(Effective Length of Column^2)
σ_crippling = (pi^2*ε_c*r^2)/(L_e^2)

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 Crippling Stress?

Crippling Stress calculator uses Crippling Stress = (pi^2*Modulus of Elasticity of Column*Least Radius of Gyration of Column^2)/(Effective Length of Column^2) to calculate the Crippling Stress, Crippling Stress formula is defined as the maximum compressive stress a column can withstand without buckling or crippling, considering the effective length of the column, radius, and critical strain, providing a crucial parameter in structural engineering to ensure the stability and safety of columns under axial loads. Crippling Stress is denoted by σ_crippling symbol.

How to calculate Crippling Stress using this online calculator? To use this online calculator for Crippling Stress, enter Modulus of Elasticity of Column (ε_c), Least Radius of Gyration of Column (r) & Effective Length of Column (L_e) and hit the calculate button. Here is how the Crippling Stress calculation can be explained with given input values -> 4.2E-8 = (pi^2*10560000*0.05^2)/(2.5^2).

FAQ

What is Crippling Stress?

Crippling Stress formula is defined as the maximum compressive stress a column can withstand without buckling or crippling, considering the effective length of the column, radius, and critical strain, providing a crucial parameter in structural engineering to ensure the stability and safety of columns under axial loads and is represented as σ_crippling = (pi^2*ε_c*r^2)/(L_e^2) or Crippling Stress = (pi^2*Modulus of Elasticity of Column*Least Radius of Gyration of Column^2)/(Effective Length of Column^2). Modulus of elasticity of column also known as Young’s modulus, is a measure of a material’s stiffness or rigidity which quantifies the relationship between stress and strain, Least radius of gyration of column is a critical parameter in structural engineering, representing the smallest radius of gyration among all possible axes of the column’s cross-section & Effective length of column is the length of an equivalent pin-ended column that has the same load-carrying capacity as the actual column under consideration.

How to calculate Crippling Stress?

Crippling Stress formula is defined as the maximum compressive stress a column can withstand without buckling or crippling, considering the effective length of the column, radius, and critical strain, providing a crucial parameter in structural engineering to ensure the stability and safety of columns under axial loads is calculated using Crippling Stress = (pi^2*Modulus of Elasticity of Column*Least Radius of Gyration of Column^2)/(Effective Length of Column^2). To calculate Crippling Stress, you need Modulus of Elasticity of Column (ε_c), Least Radius of Gyration of Column (r) & Effective Length of Column (L_e). With our tool, you need to enter the respective value for Modulus of Elasticity of Column, Least Radius of Gyration of Column & Effective Length of Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Crippling Stress?

In this formula, Crippling Stress uses Modulus of Elasticity of Column, Least Radius of Gyration of Column & Effective Length of Column. We can use 2 other way(s) to calculate the same, which is/are as follows -

Crippling Stress = Column Crippling Load/Column Cross-Sectional Area
Crippling Stress = Column Crippling Load/Column Cross-Sectional Area

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