Crippling Load given Effective Length and Radius of Gyration 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%
✖Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Column Cross Sectional Area [A_sectional]			+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%

✖Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load given Effective Length and Radius of Gyration [P]

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Formula

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Crippling Load given Effective Length and Radius of Gyration

Formula

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

Example

`"260557.6N"=(pi^2*"10.56MPa"*"6.25m²"*("50mm")^2)/(("2500mm")^2)`

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Download Estimation of Effective Length of Columns Formulas PDF

Crippling Load given Effective Length and Radius of Gyration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Crippling Load = (pi^2*Modulus of Elasticity Column*Column Cross Sectional Area*Least Radius of Gyration Column^2)/(Effective Column Length^2)
P = (pi^2*ε_c*A_sectional*r_L^2)/(L_eff^2)
This formula uses 1 Constants, 5 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.
Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
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)
Column Cross Sectional Area: 6.25 Square Meter --> 6.25 Square Meter No Conversion Required
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

P = (pi^2*ε_c*A_sectional*r_L^2)/(L_eff^2) --> (pi^2*10560000*6.25*0.05^2)/(2.5^2)

Evaluating ... ...

P = 260557.556188759

STEP 3: Convert Result to Output's Unit

260557.556188759 Newton --> No Conversion Required

FINAL ANSWER

260557.556188759 ≈ 260557.6 Newton <-- Column Crippling Load

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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 given Effective Length and Radius of Gyration Formula

Column Crippling Load = (pi^2*Modulus of Elasticity Column*Column Cross Sectional Area*Least Radius of Gyration Column^2)/(Effective Column Length^2)
P = (pi^2*ε_c*A_sectional*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 Load given Effective Length and Radius of Gyration?

Crippling Load given Effective Length and Radius of Gyration calculator uses Column Crippling Load = (pi^2*Modulus of Elasticity Column*Column Cross Sectional Area*Least Radius of Gyration Column^2)/(Effective Column Length^2) to calculate the Column Crippling Load, The Crippling Load given Effective Length and Radius of Gyration 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 given Effective Length and Radius of Gyration using this online calculator? To use this online calculator for Crippling Load given Effective Length and Radius of Gyration, enter Modulus of Elasticity Column (ε_c), Column Cross Sectional Area (A_sectional), Least Radius of Gyration Column (r_L) & Effective Column Length (L_eff) and hit the calculate button. Here is how the Crippling Load given Effective Length and Radius of Gyration calculation can be explained with given input values -> 260557.6 = (pi^2*10560000*6.25*0.05^2)/(2.5^2).

FAQ

What is Crippling Load given Effective Length and Radius of Gyration?

The Crippling Load given Effective Length and Radius of Gyration 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*A_sectional*r_L^2)/(L_eff^2) or Column Crippling Load = (pi^2*Modulus of Elasticity Column*Column Cross Sectional Area*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, Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point, 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 Load given Effective Length and Radius of Gyration?

The Crippling Load given Effective Length and Radius of Gyration 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*Column Cross Sectional Area*Least Radius of Gyration Column^2)/(Effective Column Length^2). To calculate Crippling Load given Effective Length and Radius of Gyration, you need Modulus of Elasticity Column (ε_c), Column Cross Sectional Area (A_sectional), 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, Column Cross Sectional Area, 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 Column Crippling Load?

In this formula, Column Crippling Load uses Modulus of Elasticity Column, Column Cross Sectional Area, Least Radius of Gyration 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*Moment of Inertia Column)/(Effective Column Length^2)
Column Crippling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)

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