Factor of Safety given Euler Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Factor of Safety = 1/(1-(Crippling Load/Euler Load))
fs = 1/(1-(P/PE))
This formula uses 3 Variables
Variables Used
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Euler Load - (Measured in Newton) - Euler load is the compressive load at which a slender column will suddenly bend or buckle.
STEP 1: Convert Input(s) to Base Unit
Crippling Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Euler Load: 4 Kilonewton --> 4000 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fs = 1/(1-(P/PE)) --> 1/(1-(3600/4000))
Evaluating ... ...
fs = 10
STEP 3: Convert Result to Output's Unit
10 --> No Conversion Required
FINAL ANSWER
10 <-- Factor of Safety
(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))

Factor of Safety given Euler Load Formula

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

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 Factor of Safety given Euler Load?

Factor of Safety given Euler Load calculator uses Factor of Safety = 1/(1-(Crippling Load/Euler Load)) to calculate the Factor of Safety, The Factor of safety given Euler load formula is defined as the ratio of the ultimate strength of a member or piece of material (as in an airplane) to the actual working stress. Factor of Safety is denoted by fs symbol.

How to calculate Factor of Safety given Euler Load using this online calculator? To use this online calculator for Factor of Safety given Euler Load, enter Crippling Load (P) & Euler Load (PE) and hit the calculate button. Here is how the Factor of Safety given Euler Load calculation can be explained with given input values -> 10 = 1/(1-(3600/4000)).

FAQ

What is Factor of Safety given Euler Load?
The Factor of safety given Euler load formula is defined as the ratio of the ultimate strength of a member or piece of material (as in an airplane) to the actual working stress and is represented as fs = 1/(1-(P/PE)) or Factor of Safety = 1/(1-(Crippling Load/Euler Load)). Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself & Euler load is the compressive load at which a slender column will suddenly bend or buckle.
How to calculate Factor of Safety given Euler Load?
The Factor of safety given Euler load formula is defined as the ratio of the ultimate strength of a member or piece of material (as in an airplane) to the actual working stress is calculated using Factor of Safety = 1/(1-(Crippling Load/Euler Load)). To calculate Factor of Safety given Euler Load, you need Crippling Load (P) & Euler Load (PE). With our tool, you need to enter the respective value for Crippling Load & Euler 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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