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Euler Load given Factor of Safety Formula

GoEuler Load Formula

GoEuler Load given Final Deflection at Distance X from end A of Column 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{1}{f s})}

P_E - Euler Load?P - Crippling Load?f_s - Factor of Safety?

Euler Load given Factor of Safety Example

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Here is how the Euler Load given Factor of Safety equation looks like with Values.

Here is how the Euler Load given Factor of Safety equation looks like with Units.

Here is how the Euler Load given Factor of Safety equation looks like.

4000.0007 = \frac{2571.429}{1 - (\frac{1}{2.8})}

4000.0007N = \frac{2571.429N}{1 - (\frac{1}{2.8})}

4000.0007 = \frac{2571.429}{1 - (\frac{1}{2.8})}

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Euler Load given Factor of Safety Solution

Follow our step by step solution on how to calculate Euler Load given Factor of Safety?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P E = \frac{2571.429N}{1 - (\frac{1}{2.8})}

Next Step Prepare to Evaluate

∴

P E = \frac{2571.429}{1 - (\frac{1}{2.8})}

Next Step Evaluate

∴

P E = 4000.00066666667N

LAST Step Rounding Answer

∴

P E = 4000.0007N

Euler Load given Factor of Safety 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: N

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: N

Note: Value can be positive or negative.

Formulas to find Crippling Load

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

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 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})}

Go Euler Load given Maximum Deflection for Columns with Initial Curvature

P E = \frac{P}{1 - (\frac{C}{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 Factor of Safety?

Euler Load given Factor of Safety evaluator uses Euler Load = Crippling Load/(1-(1/Factor of Safety)) to evaluate the Euler Load, The Euler Load given Factor of Safety formula is defined as the maximum load that a column with initial curvature can withstand without failing, taking into account the factor of safety to ensure structural integrity and prevent collapse under various loads. Euler Load is denoted by P_E symbol.

How to evaluate Euler Load given Factor of Safety using this online evaluator? To use this online evaluator for Euler Load given Factor of Safety, enter Crippling Load (P) & Factor of Safety (f_s) and hit the calculate button.

FAQs on Euler Load given Factor of Safety

What is the formula to find Euler Load given Factor of Safety?

The formula of Euler Load given Factor of Safety is expressed as Euler Load = Crippling Load/(1-(1/Factor of Safety)). Here is an example- 5600 = 2571.429/(1-(1/2.8)).

How to calculate Euler Load given Factor of Safety?

With Crippling Load (P) & Factor of Safety (f_s) we can find Euler Load given Factor of Safety using the formula - Euler Load = Crippling Load/(1-(1/Factor of Safety)).

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-(Maximum Initial Deflection*sin((pi*Distance of Deflection from end A)/Length of Column)/Deflection of Column))
Euler Load=Crippling Load/(1-(Maximum Initial Deflection/Deflection of Column))

Can the Euler Load given Factor of Safety be negative?

Yes, the Euler Load given Factor of Safety, measured in Force can be negative.

Which unit is used to measure Euler Load given Factor of Safety?

Euler Load given Factor of Safety is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Euler Load given Factor of Safety can be measured.

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