Factor of Safety given Euler Load Calculator

✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load [P]			+10% -10%
✖Euler load is the compressive load at which a slender column will suddenly bend or buckle.ⓘ Euler Load [P_E]			+10% -10%

✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety given Euler Load [f_s]

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Factor of Safety given Euler Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = 1/(1-(Crippling Load/Euler Load))
f_s = 1/(1-(P/P_E))
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: 2571.429 Newton --> 2571.429 Newton No Conversion Required
Euler Load: 4000 Newton --> 4000 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = 1/(1-(P/P_E)) --> 1/(1-(2571.429/4000))

Evaluating ... ...

f_s = 2.80000084000025

STEP 3: Convert Result to Output's Unit

2.80000084000025 --> No Conversion Required

FINAL ANSWER

2.80000084000025 ≈ 2.800001 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Columns With Initial Curvature » Factor of Safety given Euler Load

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Columns With Initial Curvature Calculators

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

LaTeX 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

LaTeX Go Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi

Modulus of Elasticity given Euler Load

LaTeX Go Modulus of Elasticity of Column = (Euler Load*(Length of Column^2))/(pi^2*Moment of Inertia)

Euler Load

LaTeX Go Euler Load = ((pi^2)*Modulus of Elasticity of Column*Moment of Inertia)/(Length of Column^2)

Factor of Safety given Euler Load Formula

LaTeX Go

Factor of Safety = 1/(1-(Crippling Load/Euler Load))
f_s = 1/(1-(P/P_E))

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 a measure of the structural integrity of a column with initial curvature, providing a safety margin against buckling or collapse under compressive loads, ensuring the column's ability to withstand external forces without failure. Factor of Safety is denoted by f_s 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 (P_E) 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-(2571.429/4000)).

FAQ

What is Factor of Safety given Euler Load?

The Factor of Safety given Euler Load formula is defined as a measure of the structural integrity of a column with initial curvature, providing a safety margin against buckling or collapse under compressive loads, ensuring the column's ability to withstand external forces without failure and is represented as f_s = 1/(1-(P/P_E)) 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 a measure of the structural integrity of a column with initial curvature, providing a safety margin against buckling or collapse under compressive loads, ensuring the column's ability to withstand external forces without failure 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 (P_E). 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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