Crippling Load when Both Ends of Column are Hinged Calculator

✖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 of Column [E]			+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%
✖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%

✖Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load when Both Ends of Column are Hinged [P]

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Formula

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Crippling Load when Both Ends of Column are Hinged

Formula

`"P" = (pi^2*"E"*"I")/"l"^2`

Example

`"0.23346kN"=(pi^2*"10.56MPa"*"5600cm⁴")/("5000mm")^2`

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Crippling Load when Both Ends of Column are Hinged Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/Column Length^2
P = (pi^2*E*I)/l^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 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)
Moment of Inertia Column: 5600 Centimeter⁴ --> 5.6E-05 Meter⁴ (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (pi^2*E*I)/l^2 --> (pi^2*10560000*5.6E-05)/5^2

Evaluating ... ...

P = 233.459570345128

STEP 3: Convert Result to Output's Unit

233.459570345128 Newton -->0.233459570345128 Kilonewton (Check conversion here)

FINAL ANSWER

0.233459570345128 ≈ 0.23346 Kilonewton <-- Column Crippling Load

(Calculation completed in 00.004 seconds)

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< 7 Both Ends of Columns are Hinged Calculators

Length of Column given Crippling Load with Both Ends of Column Hinged

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

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged

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

Moment of Inertia given Crippling Load with Both Ends of Column Hinged

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

Crippling Load when Both Ends of Column are Hinged

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

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

Go Deflection at Section = -Moment of Section/Column Crippling Load

Moment due to Crippling Load at Section if Both Ends of Column are Hinged

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

Crippling Load given Moment at Section if Both Ends of Column are Hinged

Go Column Crippling Load = -Moment of Section/Deflection at Section

Crippling Load when Both Ends of Column are Hinged Formula

Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/Column Length^2
P = (pi^2*E*I)/l^2

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 Crippling Load when Both Ends of Column are Hinged?

Crippling Load when Both Ends of Column are Hinged calculator uses Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/Column Length^2 to calculate the Column Crippling Load, The Crippling load when both ends of column are hinged formula 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 when Both Ends of Column are Hinged using this online calculator? To use this online calculator for Crippling Load when Both Ends of Column are Hinged, enter Modulus of Elasticity of Column (E), Moment of Inertia Column (I) & Column Length (l) and hit the calculate button. Here is how the Crippling Load when Both Ends of Column are Hinged calculation can be explained with given input values -> 0.000233 = (pi^2*10560000*5.6E-05)/5^2.

FAQ

What is Crippling Load when Both Ends of Column are Hinged?

The Crippling load when both ends of column are hinged formula is defined as the load over which a column prefers to deform laterally rather than compressing itself and is represented as P = (pi^2*E*I)/l^2 or Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/Column Length^2. 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, Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis & Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

How to calculate Crippling Load when Both Ends of Column are Hinged?

The Crippling load when both ends of column are hinged formula 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 of Column*Moment of Inertia Column)/Column Length^2. To calculate Crippling Load when Both Ends of Column are Hinged, you need Modulus of Elasticity of Column (E), Moment of Inertia Column (I) & Column Length (l). With our tool, you need to enter the respective value for Modulus of Elasticity of Column, Moment of Inertia Column & 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 of Column, Moment of Inertia Column & Column Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

Column Crippling Load = -Moment of Section/Deflection at Section

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