Crippling Stress Calculator

✖Modulus of Elasticity 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 Column [ε_c]			+10% -10%
✖Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration Column [r_L]			+10% -10%
✖Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Effective Column Length [L_eff]			+10% -10%

✖Crippling Stress is the stress in column due to crippling load.ⓘ Crippling Stress [σ_{crippling stress}]

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Formula

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Crippling Stress

Formula

`"σ"_{"crippling stress"} = (pi^2*"ε"_{"c"}*"r"_{"L"}^2)/("L"_{"eff"}^2)`

Example

`"0.041689MPa"=(pi^2*"10.56MPa"*("50mm")^2)/(("2500mm")^2)`

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Crippling Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crippling Stress = (pi^2*Modulus of Elasticity Column*Least Radius of Gyration Column^2)/(Effective Column Length^2)
σ_{crippling stress} = (pi^2*ε_c*r_L^2)/(L_eff^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 is the stress in column due to crippling load.
Modulus of Elasticity Column - (Measured in Pascal) - Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.
Least Radius of Gyration Column - (Measured in Meter) - Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.
Effective Column Length - (Measured in Meter) - Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_{crippling stress} = (pi^2*ε_c*r_L^2)/(L_eff^2) --> (pi^2*10560000*0.05^2)/(2.5^2)

Evaluating ... ...

σ_{crippling stress} = 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 00.004 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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< 4 Crippling Load Calculators

Crippling Load given Effective Length and Radius of Gyration

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

Crippling Stress

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

Crippling Load for any type of End Condition

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

Crippling Stress given Crippling Load

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

< 4 Crippling Load and Stress Calculators

Crippling Load given Effective Length and Radius of Gyration

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

Crippling Stress

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

Crippling Load for any type of End Condition

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

Crippling Stress given Crippling Load

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

Crippling Stress Formula

Crippling Stress = (pi^2*Modulus of Elasticity Column*Least Radius of Gyration Column^2)/(Effective Column Length^2)
σ_{crippling stress} = (pi^2*ε_c*r_L^2)/(L_eff^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 Column*Least Radius of Gyration Column^2)/(Effective Column Length^2) to calculate the Crippling Stress, The Crippling Stress is defined as the corresponding stress due to the crippling load in the column. Crippling Stress is denoted by σ_{crippling stress} symbol.

How to calculate Crippling Stress using this online calculator? To use this online calculator for Crippling Stress, enter Modulus of Elasticity Column (ε_c), Least Radius of Gyration Column (r_L) & Effective Column Length (L_eff) 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?

The Crippling Stress is defined as the corresponding stress due to the crippling load in the column and is represented as σ_{crippling stress} = (pi^2*ε_c*r_L^2)/(L_eff^2) or Crippling Stress = (pi^2*Modulus of Elasticity Column*Least Radius of Gyration Column^2)/(Effective Column Length^2). Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it, Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations & Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.

How to calculate Crippling Stress?

The Crippling Stress is defined as the corresponding stress due to the crippling load in the column is calculated using Crippling Stress = (pi^2*Modulus of Elasticity Column*Least Radius of Gyration Column^2)/(Effective Column Length^2). To calculate Crippling Stress, you need Modulus of Elasticity Column (ε_c), Least Radius of Gyration Column (r_L) & Effective Column Length (L_eff). With our tool, you need to enter the respective value for Modulus of Elasticity Column, Least Radius of Gyration Column & Effective Column Length 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 Column, Least Radius of Gyration Column & Effective Column Length. 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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