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Euler Load given Maximum Deflection for Columns with Initial Curvature Formula

GoEuler Load Formula

GoEuler Load given Factor of Safety Formula

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Euler load is the compressive load at which a slender column will suddenly bend or buckle. Check FAQs

P E = \frac{P}{1 - (\frac{C}{δ c})}

P_E - Euler Load?P - Crippling Load?C - Maximum Initial Deflection?δ_c - Deflection of Column?

Euler Load given Maximum Deflection for Columns with Initial Curvature Example

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Here is how the Euler Load given Maximum Deflection for Columns with Initial Curvature equation looks like with Values.

Here is how the Euler Load given Maximum Deflection for Columns with Initial Curvature equation looks like with Units.

Here is how the Euler Load given Maximum Deflection for Columns with Initial Curvature equation looks like.

-0.15 = \frac{3.6}{1 - (\frac{300}{12})}

-0.15kN = \frac{3.6kN}{1 - (\frac{300mm}{12mm})}

-0.15 = \frac{3.6}{1 - (\frac{300}{12})}

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Euler Load given Maximum Deflection for Columns with Initial Curvature Solution

Follow our step by step solution on how to calculate Euler Load given Maximum Deflection for Columns with Initial Curvature?

FIRST Step Consider the formula

P E = \frac{P}{1 - (\frac{C}{δ c})}

Next Step Substitute values of Variables

∴

P E = \frac{3.6kN}{1 - (\frac{300mm}{12mm})}

Next Step Convert Units

∴

P E = \frac{3600N}{1 - (\frac{0.3m}{0.012m})}

Next Step Prepare to Evaluate

∴

P E = \frac{3600}{1 - (\frac{0.3}{0.012})}

Next Step Evaluate

∴

P E = -150N

LAST Step Convert to Output's Unit

∴

P E = -0.15kN

Euler Load given Maximum Deflection for Columns with Initial Curvature Formula Elements

Variables

Euler Load

Euler load is the compressive load at which a slender column will suddenly bend or buckle.

Symbol: P_E

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Euler Load

Crippling Load

Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.

Symbol: P

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Crippling Load

Maximum Initial Deflection

Maximum Initial Deflection is the degree to which a structural element is displaced under a load.

Symbol: C

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Maximum Initial Deflection

Deflection of Column

Deflection of Column is the displacement or bending of a column from its original, vertical position when subjected to an external load, particularly a compressive load.

Symbol: δ_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Column

Other Formulas to find Euler Load

Go Euler Load

P E = \frac{(π^{2}) \cdot ε column \cdot I}{l^{2}}

Go Euler Load given Factor of Safety

P E = \frac{P}{1 - (\frac{1}{f s})}

Go Euler Load given Final Deflection at Distance X from end A of Column

P E = \frac{P}{1 - (C \cdot \frac{\sin (\frac{π \cdot x}{l})}{δ c})}

Other formulas in Columns With Initial Curvature category

Go Value of Distance 'X' given Initial Deflection at Distance X from end A

x = (a \sin (\frac{y'}{C})) \cdot \frac{l}{π}

Go Length of Column given Initial Deflection at Distance X from end A

l = \frac{π \cdot x}{a \sin (\frac{y'}{C})}

Go Modulus of Elasticity given Euler Load

ε column = \frac{P E \cdot (l^{2})}{(π^{2}) \cdot I}

Go Moment of Inertia given Euler Load

I = \frac{P E \cdot (l^{2})}{(π^{2}) \cdot ε column}

How to Evaluate Euler Load given Maximum Deflection for Columns with Initial Curvature?

Euler Load given Maximum Deflection for Columns with Initial Curvature evaluator uses Euler Load = Crippling Load/(1-(Maximum Initial Deflection/Deflection of Column)) to evaluate the Euler Load, The Euler Load given Maximum Deflection for Columns with Initial Curvature formula is defined as a measure of the critical load that a column can withstand before buckling, taking into account the initial curvature of the column, which affects its stability and load-carrying capacity. Euler Load is denoted by P_E symbol.

How to evaluate Euler Load given Maximum Deflection for Columns with Initial Curvature using this online evaluator? To use this online evaluator for Euler Load given Maximum Deflection for Columns with Initial Curvature, enter Crippling Load (P), Maximum Initial Deflection (C) & Deflection of Column (δ_c) and hit the calculate button.

FAQs on Euler Load given Maximum Deflection for Columns with Initial Curvature

What is the formula to find Euler Load given Maximum Deflection for Columns with Initial Curvature?

The formula of Euler Load given Maximum Deflection for Columns with Initial Curvature is expressed as Euler Load = Crippling Load/(1-(Maximum Initial Deflection/Deflection of Column)). Here is an example- -0.00015 = 3600/(1-(0.3/0.012)).

How to calculate Euler Load given Maximum Deflection for Columns with Initial Curvature?

With Crippling Load (P), Maximum Initial Deflection (C) & Deflection of Column (δ_c) we can find Euler Load given Maximum Deflection for Columns with Initial Curvature using the formula - Euler Load = Crippling Load/(1-(Maximum Initial Deflection/Deflection of Column)).

What are the other ways to Calculate Euler Load?

Here are the different ways to Calculate Euler Load-

Euler Load=((pi^2)*Modulus of Elasticity of Column*Moment of Inertia)/(Length of Column^2)
Euler Load=Crippling Load/(1-(1/Factor of Safety))
Euler Load=Crippling Load/(1-(Maximum Initial Deflection*sin((pi*Distance of Deflection from end A)/Length of Column)/Deflection of Column))

Can the Euler Load given Maximum Deflection for Columns with Initial Curvature be negative?

Yes, the Euler Load given Maximum Deflection for Columns with Initial Curvature, measured in Force can be negative.

Which unit is used to measure Euler Load given Maximum Deflection for Columns with Initial Curvature?

Euler Load given Maximum Deflection for Columns with Initial Curvature is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Euler Load given Maximum Deflection for Columns with Initial Curvature can be measured.

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Euler Load given Maximum Deflection for Columns with Initial Curvature Formula

​GoEuler Load Formula

​GoEuler Load given Factor of Safety Formula

Euler Load given Maximum Deflection for Columns with Initial Curvature Example

Euler Load given Maximum Deflection for Columns with Initial Curvature Solution

Euler Load given Maximum Deflection for Columns with Initial Curvature Formula Elements

Other Formulas to find Euler Load

Other formulas in Columns With Initial Curvature category

How to Evaluate Euler Load given Maximum Deflection for Columns with Initial Curvature?

FAQs on Euler Load given Maximum Deflection for Columns with Initial Curvature

Variable Name

GoEuler Load Formula

GoEuler Load given Factor of Safety Formula