Euler Load given Factor of Safety Solution

STEP 0: Pre-Calculation Summary
Formula Used
Euler Load = Crippling Load/(1-(1/Factor of Safety))
PE = P/(1-(1/fs))
This formula uses 3 Variables
Variables Used
Euler Load - (Measured in Newton) - Euler load is the compressive load at which a slender column will suddenly bend or buckle.
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
STEP 1: Convert Input(s) to Base Unit
Crippling Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PE = P/(1-(1/fs)) --> 3600/(1-(1/2.8))
Evaluating ... ...
PE = 5600
STEP 3: Convert Result to Output's Unit
5600 Newton -->5.6 Kilonewton (Check conversion here)
FINAL ANSWER
5.6 Kilonewton <-- Euler Load
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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19 Columns With Initial Curvature Calculators

Radius of Gyration given Maximum Stress for Columns with Initial Curvature
Go Radius of Gyration = sqrt((Maximum initial deflection*Distance from Neutral Axis to Extreme Point)/(1-(Direct stress/Euler Stress))*((Maximum Stress at Crack Tip/Direct stress)-1))
Euler Stress given Maximum Stress for Columns with Initial Curvature
Go Euler Stress = Direct stress/(1-((Maximum initial deflection*Distance from Neutral Axis to Extreme Point/(Least Radius of Gyration Column^2))/((Maximum Stress at Crack Tip/Direct stress)-1)))
Maximum Stress for Columns with Initial Curvature
Go Maximum Stress at Crack Tip = (((Maximum initial deflection*Distance from Neutral Axis to Extreme Point/(Least Radius of Gyration Column^2))/(1-(Direct stress/Euler Stress)))+1)*Direct stress
Length of Column given Final Deflection at Distance X from End A of Column
Go Length of column = (pi*Distance of deflection from end A)/(asin(Deflection of Column/((1/(1-(Crippling Load/Euler Load)))*Maximum initial deflection)))
Value of Distance 'X' given Final Deflection at Distance X from end A of Column
Go Distance of deflection from end A = (asin(Deflection of Column/((1/(1-(Crippling Load/Euler Load)))*Maximum initial deflection)))*Length of column/pi
Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns
Go Distance from Neutral Axis to Extreme Point = (1-(Direct stress/Euler Stress))*((Maximum Stress at Crack Tip/Direct stress)-1)*(Radius of Gyration^2)/Maximum initial deflection
Crippling Load given Final Deflection at Distance X from end A of Column
Go Crippling Load = (1-(Maximum initial deflection*sin((pi*Distance of deflection from end A)/Length of column)/Deflection of Column))*Euler Load
Euler Load given Final Deflection at Distance X from end A of Column
Go Euler Load = Crippling Load/(1-(Maximum initial deflection*sin((pi*Distance of deflection from end A)/Length of column)/Deflection of Column))
Length of Column given Initial Deflection at Distance X from end A
Go Length of column = (pi*Distance of deflection from end A)/(asin(Initial Deflection/Maximum initial deflection))
Value of Distance 'X' given Initial Deflection at Distance X from end A
Go Distance of deflection from end A = (asin(Initial Deflection/Maximum initial deflection))*Length of column/pi
Length of Column given Euler Load
Go Length of column = sqrt(((pi^2)*Modulus of elasticity of column*Moment of Inertia)/(Euler Load))
Modulus of Elasticity given Euler Load
Go Modulus of elasticity of column = (Euler Load*(Length of column^2))/((pi^2)*Moment of Inertia)
Moment of Inertia given Euler Load
Go Moment of Inertia = (Euler Load*(Length of column^2))/((pi^2)*Modulus of elasticity of column)
Euler Load
Go Euler Load = ((pi^2)*Modulus of elasticity of column*Moment of Inertia)/(Length of column^2)
Crippling Load given Maximum Deflection for Columns with Initial Curvature
Go Crippling Load = (1-(Maximum initial deflection/Deflection of Column))*Euler Load
Euler Load given Maximum Deflection for Columns with Initial Curvature
Go Euler Load = Crippling Load/(1-(Maximum initial deflection/Deflection of Column))
Crippling Load given Factor of Safety
Go Crippling Load = (1-(1/Factor of Safety))*Euler Load
Factor of Safety given Euler Load
Go Factor of Safety = 1/(1-(Crippling Load/Euler Load))
Euler Load given Factor of Safety
Go Euler Load = Crippling Load/(1-(1/Factor of Safety))

Euler Load given Factor of Safety Formula

Euler Load = Crippling Load/(1-(1/Factor of Safety))
PE = P/(1-(1/fs))

What is buckling or crippling load?

Buckling Load is the highest load at which the column will buckle. Crippling load is the max load beyond that load, it cant use further it becomes disable to use.

How to Calculate Euler Load given Factor of Safety?

Euler Load given Factor of Safety calculator uses Euler Load = Crippling Load/(1-(1/Factor of Safety)) to calculate the Euler Load, The Euler load given factor of safety formula is defined as the compressive load at which a slender column will suddenly bend or buckle. Euler Load is denoted by PE symbol.

How to calculate Euler Load given Factor of Safety using this online calculator? To use this online calculator for Euler Load given Factor of Safety, enter Crippling Load (P) & Factor of Safety (fs) and hit the calculate button. Here is how the Euler Load given Factor of Safety calculation can be explained with given input values -> 0.0056 = 3600/(1-(1/2.8)).

FAQ

What is Euler Load given Factor of Safety?
The Euler load given factor of safety formula is defined as the compressive load at which a slender column will suddenly bend or buckle and is represented as PE = P/(1-(1/fs)) or Euler Load = Crippling Load/(1-(1/Factor of Safety)). Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself & Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
How to calculate Euler Load given Factor of Safety?
The Euler load given factor of safety formula is defined as the compressive load at which a slender column will suddenly bend or buckle is calculated using Euler Load = Crippling Load/(1-(1/Factor of Safety)). To calculate Euler Load given Factor of Safety, you need Crippling Load (P) & Factor of Safety (fs). With our tool, you need to enter the respective value for Crippling Load & Factor of Safety 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 Euler Load?
In this formula, Euler Load uses Crippling Load & Factor of Safety. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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))
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