Crippling Load given Factor of Safety Solution

STEP 0: Pre-Calculation Summary
Formula Used
Crippling Load = (1-(1/Factor of Safety))*Euler Load
P = (1-(1/fs))*PE
This formula uses 3 Variables
Variables Used
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.
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
Factor of Safety: 2.8 --> No Conversion Required
Euler Load: 4000 Newton --> 4000 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (1-(1/fs))*PE --> (1-(1/2.8))*4000
Evaluating ... ...
P = 2571.42857142857
STEP 3: Convert Result to Output's Unit
2571.42857142857 Newton --> No Conversion Required
FINAL ANSWER
2571.42857142857 2571.429 Newton <-- Crippling Load
(Calculation completed in 00.006 seconds)

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National Institute Of Technology (NIT), Hamirpur
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​ 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)

Crippling Load given Factor of Safety Formula

​LaTeX ​Go
Crippling Load = (1-(1/Factor of Safety))*Euler Load
P = (1-(1/fs))*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 Crippling Load given Factor of Safety?

Crippling Load given Factor of Safety calculator uses Crippling Load = (1-(1/Factor of Safety))*Euler Load to calculate the Crippling Load, The Crippling Load given Factor of Safety formula is defined as the maximum load that a column with initial curvature can withstand without collapsing, considering the factor of safety to ensure structural integrity and prevent failure under various loads. Crippling Load is denoted by P symbol.

How to calculate Crippling Load given Factor of Safety using this online calculator? To use this online calculator for Crippling Load given Factor of Safety, enter Factor of Safety (fs) & Euler Load (PE) and hit the calculate button. Here is how the Crippling Load given Factor of Safety calculation can be explained with given input values -> 2571.429 = (1-(1/2.8))*4000.

FAQ

What is Crippling Load given Factor of Safety?
The Crippling Load given Factor of Safety formula is defined as the maximum load that a column with initial curvature can withstand without collapsing, considering the factor of safety to ensure structural integrity and prevent failure under various loads and is represented as P = (1-(1/fs))*PE or Crippling Load = (1-(1/Factor of Safety))*Euler Load. Factor of Safety expresses how much stronger a system is than it needs to be for an intended load & Euler load is the compressive load at which a slender column will suddenly bend or buckle.
How to calculate Crippling Load given Factor of Safety?
The Crippling Load given Factor of Safety formula is defined as the maximum load that a column with initial curvature can withstand without collapsing, considering the factor of safety to ensure structural integrity and prevent failure under various loads is calculated using Crippling Load = (1-(1/Factor of Safety))*Euler Load. To calculate Crippling Load given Factor of Safety, you need Factor of Safety (fs) & Euler Load (PE). With our tool, you need to enter the respective value for Factor of Safety & Euler Load 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 Crippling Load?
In this formula, Crippling Load uses Factor of Safety & Euler Load. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))*Euler Load
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