Crippling Load for any type of End Condition 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%
✖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%
✖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%

✖Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load for any type of End Condition [P]

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Formula

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Crippling Load for any type of End Condition

Formula

`"P" = (pi^2*"ε"_{"c"}*"I")/("L"_{"eff"}^2)`

Example

`"10005.41N"=(pi^2*"10.56MPa"*"60000cm⁴")/(("2500mm")^2)`

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Crippling Load for any type of End Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Crippling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)
P = (pi^2*ε_c*I)/(L_eff^2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Column Crippling Load - (Measured in Newton) - Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
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.
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.
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)
Moment of Inertia Column: 60000 Centimeter⁴ --> 0.0006 Meter⁴ (Check conversion here)
Effective Column Length: 2500 Millimeter --> 2.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (pi^2*ε_c*I)/(L_eff^2) --> (pi^2*10560000*0.0006)/(2.5^2)

Evaluating ... ...

P = 10005.4101576483

STEP 3: Convert Result to Output's Unit

10005.4101576483 Newton --> No Conversion Required

FINAL ANSWER

10005.4101576483 ≈ 10005.41 Newton <-- Column Crippling Load

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design of Compression Members » Estimation of Effective Length of Columns » Crippling Load » Crippling Load for any type of End Condition

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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 Load for any type of End Condition Formula

Column Crippling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)
P = (pi^2*ε_c*I)/(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 Load for any type of End Condition?

Crippling Load for any type of End Condition calculator uses Column Crippling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2) to calculate the Column Crippling Load, The Crippling Load for any type of End Condition is defined as the load over which a column prefers to deform laterally rather than compressing itself. Column Crippling Load is denoted by P symbol.

How to calculate Crippling Load for any type of End Condition using this online calculator? To use this online calculator for Crippling Load for any type of End Condition, enter Modulus of Elasticity Column (ε_c), Moment of Inertia Column (I) & Effective Column Length (L_eff) and hit the calculate button. Here is how the Crippling Load for any type of End Condition calculation can be explained with given input values -> 933.8383 = (pi^2*10560000*0.0006)/(2.5^2).

FAQ

What is Crippling Load for any type of End Condition?

The Crippling Load for any type of End Condition is defined as the load over which a column prefers to deform laterally rather than compressing itself and is represented as P = (pi^2*ε_c*I)/(L_eff^2) or Column Crippling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(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, Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis & 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 Load for any type of End Condition?

The Crippling Load for any type of End Condition is defined as the load over which a column prefers to deform laterally rather than compressing itself is calculated using Column Crippling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2). To calculate Crippling Load for any type of End Condition, you need Modulus of Elasticity Column (ε_c), Moment of Inertia Column (I) & Effective Column Length (L_eff). With our tool, you need to enter the respective value for Modulus of Elasticity Column, Moment of Inertia 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 Column Crippling Load?

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

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

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