Length of Column given Crippling Load with Both Ends of Column 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 Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Column Crippling Load [P]			+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.ⓘ Length of Column given Crippling Load with Both Ends of Column Hinged [l]

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

STEP 0: Pre-Calculation Summary

Formula Used

Column Length = sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load))
l = sqrt((pi^2*E*I)/(P))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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 Crippling Load - (Measured in Newton) - Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.

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 Crippling Load: 3 Kilonewton --> 3000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = sqrt((pi^2*E*I)/(P)) --> sqrt((pi^2*10560000*5.6E-05)/(3000))

Evaluating ... ...

l = 1.39481053177223

STEP 3: Convert Result to Output's Unit

1.39481053177223 Meter -->1394.81053177223 Millimeter (Check conversion here)

FINAL ANSWER

1394.81053177223 ≈ 1394.811 Millimeter <-- Column Length

(Calculation completed in 00.004 seconds)

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< Both Ends of Columns are Hinged Calculators

Crippling Load when Both Ends of Column are Hinged

LaTeX 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

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

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

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

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

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

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

LaTeX Go

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

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

Length of Column given Crippling Load with Both Ends of Column Hinged calculator uses Column Length = sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load)) to calculate the Column Length, Length of Column given Crippling Load with Both Ends of Column Hinged formula is defined as the maximum length of a column that can withstand a crippling load without buckling, considering the column's material properties and end conditions. Column Length is denoted by l symbol.

How to calculate Length of Column given Crippling Load with Both Ends of Column Hinged using this online calculator? To use this online calculator for Length of Column given Crippling Load with Both Ends of Column Hinged, enter Modulus of Elasticity of Column (E), Moment of Inertia Column (I) & Column Crippling Load (P) and hit the calculate button. Here is how the Length of Column given Crippling Load with Both Ends of Column Hinged calculation can be explained with given input values -> 1.4E+6 = sqrt((pi^2*10560000*5.6E-05)/(3000)).

FAQ

What is Length of Column given Crippling Load with Both Ends of Column Hinged?

Length of Column given Crippling Load with Both Ends of Column Hinged formula is defined as the maximum length of a column that can withstand a crippling load without buckling, considering the column's material properties and end conditions and is represented as l = sqrt((pi^2*E*I)/(P)) or Column Length = sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load)). 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 Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.

How to calculate Length of Column given Crippling Load with Both Ends of Column Hinged?

Length of Column given Crippling Load with Both Ends of Column Hinged formula is defined as the maximum length of a column that can withstand a crippling load without buckling, considering the column's material properties and end conditions is calculated using Column Length = sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load)). To calculate Length of Column given Crippling Load with Both Ends of Column Hinged, you need Modulus of Elasticity of Column (E), Moment of Inertia Column (I) & Column Crippling Load (P). With our tool, you need to enter the respective value for Modulus of Elasticity of Column, Moment of Inertia Column & Column Crippling Load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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