Crippling Load if One End of Column is Fixed and Other is 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 if One End of Column is Fixed and Other is Hinged [P]

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Crippling Load if One End of Column is Fixed and Other is Hinged Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Crippling Load = (2*pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Length^2)
P = (2*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 = (2*pi^2*E*I)/(l^2) --> (2*pi^2*10560000*5.6E-05)/(5^2)

Evaluating ... ...

P = 466.919140690256

STEP 3: Convert Result to Output's Unit

466.919140690256 Newton -->0.466919140690256 Kilonewton (Check conversion here)

FINAL ANSWER

0.466919140690256 ≈ 0.466919 Kilonewton <-- Column Crippling Load

(Calculation completed in 00.004 seconds)

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< One End of Column is Fixed and Other is Hinged Calculators

Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged

LaTeX Go Deflection at Section = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Column Crippling Load

Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged

LaTeX Go Column Crippling Load = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section

Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged

LaTeX Go Horizontal Reaction = (Moment of Section+Column Crippling Load*Deflection at Section)/(Column Length-Distance b/w Fixed End and Deflection Point)

Moment at Section if One End of Column is Fixed and Other is Hinged

LaTeX Go Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point)

Crippling Load if One End of Column is Fixed and Other is Hinged Formula

LaTeX Go

Column Crippling Load = (2*pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Length^2)
P = (2*pi^2*E*I)/(l^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 if One End of Column is Fixed and Other is Hinged?

Crippling Load if One End of Column is Fixed and Other is Hinged calculator uses Column Crippling Load = (2*pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Length^2) to calculate the Column Crippling Load, Crippling Load if One End of Column is Fixed and Other is Hinged formula is defined as the maximum load that a column can withstand without buckling when one end is fixed and the other is hinged, providing a critical load calculation for structural integrity in engineering design and construction. Column Crippling Load is denoted by P symbol.

How to calculate Crippling Load if One End of Column is Fixed and Other is Hinged using this online calculator? To use this online calculator for Crippling Load if One End of Column is Fixed and Other is 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 if One End of Column is Fixed and Other is Hinged calculation can be explained with given input values -> 0.000467 = (2*pi^2*10560000*5.6E-05)/(5^2).

FAQ

What is Crippling Load if One End of Column is Fixed and Other is Hinged?

Crippling Load if One End of Column is Fixed and Other is Hinged formula is defined as the maximum load that a column can withstand without buckling when one end is fixed and the other is hinged, providing a critical load calculation for structural integrity in engineering design and construction and is represented as P = (2*pi^2*E*I)/(l^2) or Column Crippling Load = (2*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 if One End of Column is Fixed and Other is Hinged?

Crippling Load if One End of Column is Fixed and Other is Hinged formula is defined as the maximum load that a column can withstand without buckling when one end is fixed and the other is hinged, providing a critical load calculation for structural integrity in engineering design and construction is calculated using Column Crippling Load = (2*pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Length^2). To calculate Crippling Load if One End of Column is Fixed and Other is 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+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section

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