Crippling Load given Final Deflection at Distance X from end A of Column Calculator

✖Maximum Initial Deflection is the degree to which a structural element is displaced under a load.ⓘ Maximum Initial Deflection [C]			+10% -10%
✖Distance of Deflection from end A is the distance x of deflection from end A.ⓘ Distance of Deflection from end A [x]			+10% -10%
✖Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Length of Column [l]			+10% -10%
✖Deflection of Column is the displacement or bending of a column from its original, vertical position when subjected to an external load, particularly a compressive load.ⓘ Deflection of Column [δ_c]			+10% -10%
✖Euler load is the compressive load at which a slender column will suddenly bend or buckle.ⓘ Euler Load [P_E]			+10% -10%

✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load given Final Deflection at Distance X from end A of Column [P]

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Crippling Load given Final Deflection at Distance X from end A of Column Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crippling Load = (1-(Maximum Initial Deflection*sin((pi*Distance of Deflection from end A)/Length of Column)/Deflection of Column))*Euler Load
P = (1-(C*sin((pi*x)/l)/δ_c))*P_E
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Maximum Initial Deflection - (Measured in Meter) - Maximum Initial Deflection is the degree to which a structural element is displaced under a load.
Distance of Deflection from end A - (Measured in Meter) - Distance of Deflection from end A is the distance x of deflection from end A.
Length of Column - (Measured in Meter) - Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.
Deflection of Column - (Measured in Meter) - Deflection of Column is the displacement or bending of a column from its original, vertical position when subjected to an external load, particularly a compressive 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

Maximum Initial Deflection: 300 Millimeter --> 0.3 Meter (Check conversion here)
Distance of Deflection from end A: 35 Millimeter --> 0.035 Meter (Check conversion here)
Length of Column: 5000 Millimeter --> 5 Meter (Check conversion here)
Deflection of Column: 18.47108 Millimeter --> 0.01847108 Meter (Check conversion here)
Euler Load: 4000 Newton --> 4000 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (1-(C*sin((pi*x)/l)/δ_c))*P_E --> (1-(0.3*sin((pi*0.035)/5)/0.01847108))*4000

Evaluating ... ...

P = 2571.42888715732

STEP 3: Convert Result to Output's Unit

2571.42888715732 Newton --> No Conversion Required

FINAL ANSWER

2571.42888715732 ≈ 2571.429 Newton <-- Crippling Load

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Columns With Initial Curvature » Crippling Load given Final Deflection at Distance X from end A of Column

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National Institute Of Technology (NIT), Hamirpur

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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)

Crippling Load given Final Deflection at Distance X from end A of Column Formula

LaTeX Go

Crippling Load = (1-(Maximum Initial Deflection*sin((pi*Distance of Deflection from end A)/Length of Column)/Deflection of Column))*Euler Load
P = (1-(C*sin((pi*x)/l)/δ_c))*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 Crippling Load given Final Deflection at Distance X from end A of Column?

Crippling Load given Final Deflection at Distance X from end A of Column calculator uses Crippling Load = (1-(Maximum Initial Deflection*sin((pi*Distance of Deflection from end A)/Length of Column)/Deflection of Column))*Euler Load to calculate the Crippling Load, The Crippling Load given Final Deflection at Distance X from end A of Column formula is defined as a measure of the maximum load that a column with initial curvature can withstand before collapsing, considering the final deflection at a specific distance from the end of the column, providing a critical value for structural integrity assessment. Crippling Load is denoted by P symbol.

How to calculate Crippling Load given Final Deflection at Distance X from end A of Column using this online calculator? To use this online calculator for Crippling Load given Final Deflection at Distance X from end A of Column, enter Maximum Initial Deflection (C), Distance of Deflection from end A (x), Length of Column (l), Deflection of Column (δ_c) & Euler Load (P_E) and hit the calculate button. Here is how the Crippling Load given Final Deflection at Distance X from end A of Column calculation can be explained with given input values -> 1801.062 = (1-(0.3*sin((pi*0.035)/5)/0.01847108))*4000.

FAQ

What is Crippling Load given Final Deflection at Distance X from end A of Column?

The Crippling Load given Final Deflection at Distance X from end A of Column formula is defined as a measure of the maximum load that a column with initial curvature can withstand before collapsing, considering the final deflection at a specific distance from the end of the column, providing a critical value for structural integrity assessment and is represented as P = (1-(C*sin((pi*x)/l)/δ_c))*P_E or Crippling Load = (1-(Maximum Initial Deflection*sin((pi*Distance of Deflection from end A)/Length of Column)/Deflection of Column))*Euler Load. Maximum Initial Deflection is the degree to which a structural element is displaced under a load, Distance of Deflection from end A is the distance x of deflection from end A, Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions, Deflection of Column is the displacement or bending of a column from its original, vertical position when subjected to an external load, particularly a compressive load & Euler load is the compressive load at which a slender column will suddenly bend or buckle.

How to calculate Crippling Load given Final Deflection at Distance X from end A of Column?

The Crippling Load given Final Deflection at Distance X from end A of Column formula is defined as a measure of the maximum load that a column with initial curvature can withstand before collapsing, considering the final deflection at a specific distance from the end of the column, providing a critical value for structural integrity assessment is calculated using Crippling Load = (1-(Maximum Initial Deflection*sin((pi*Distance of Deflection from end A)/Length of Column)/Deflection of Column))*Euler Load. To calculate Crippling Load given Final Deflection at Distance X from end A of Column, you need Maximum Initial Deflection (C), Distance of Deflection from end A (x), Length of Column (l), Deflection of Column (δ_c) & Euler Load (P_E). With our tool, you need to enter the respective value for Maximum Initial Deflection, Distance of Deflection from end A, Length of Column, Deflection of Column & 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 Maximum Initial Deflection, Distance of Deflection from end A, Length of Column, Deflection of Column & Euler Load. We can use 2 other way(s) to calculate the same, which is/are as follows -

Crippling Load = (1-(1/Factor of Safety))*Euler Load
Crippling Load = (1-(Maximum Initial Deflection/Deflection of Column))*Euler Load

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