Value of Distance 'X' given Initial Deflection at Distance X from end A Calculator

✖Initial Deflection is the deformation that a structural component experiences before any external load is applied or due to inherent imperfections such as residual stresses etc.ⓘ Initial Deflection [y']			+10% -10%
✖Maximum Initial Deflection is the degree to which a structural element is displaced under a load.ⓘ Maximum Initial Deflection [C]			+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%

✖Distance of Deflection from end A is the distance x of deflection from end A.ⓘ Value of Distance 'X' given Initial Deflection at Distance X from end A [x]

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Value of Distance 'X' given Initial Deflection at Distance X from end A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi
x = (asin(y'/C))*l/pi
This formula uses 1 Constants, 2 Functions, 4 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Distance of Deflection from end A - (Measured in Meter) - Distance of Deflection from end A is the distance x of deflection from end A.
Initial Deflection - (Measured in Meter) - Initial Deflection is the deformation that a structural component experiences before any external load is applied or due to inherent imperfections such as residual stresses etc.
Maximum Initial Deflection - (Measured in Meter) - Maximum Initial Deflection is the degree to which a structural element is displaced under a load.
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.

STEP 1: Convert Input(s) to Base Unit

Initial Deflection: 60 Millimeter --> 0.06 Meter (Check conversion here)
Maximum Initial Deflection: 300 Millimeter --> 0.3 Meter (Check conversion here)
Length of Column: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = (asin(y'/C))*l/pi --> (asin(0.06/0.3))*5/pi

Evaluating ... ...

x = 0.320471084244875

STEP 3: Convert Result to Output's Unit

0.320471084244875 Meter -->320.471084244875 Millimeter (Check conversion here)

FINAL ANSWER

320.471084244875 ≈ 320.4711 Millimeter <-- Distance of Deflection from end A

(Calculation completed in 00.020 seconds)

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

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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)

Value of Distance 'X' given Initial Deflection at Distance X from end A Formula

LaTeX Go

Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi
x = (asin(y'/C))*l/pi

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 Value of Distance 'X' given Initial Deflection at Distance X from end A?

Value of Distance 'X' given Initial Deflection at Distance X from end A calculator uses Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi to calculate the Distance of Deflection from end A, The Value of Distance 'X' given Initial Deflection at Distance X from end A formula is defined as a method to determine the distance from the end A of a column with initial curvature, where the initial deflection is known, providing a crucial parameter in structural analysis and design. Distance of Deflection from end A is denoted by x symbol.

How to calculate Value of Distance 'X' given Initial Deflection at Distance X from end A using this online calculator? To use this online calculator for Value of Distance 'X' given Initial Deflection at Distance X from end A, enter Initial Deflection (y'), Maximum Initial Deflection (C) & Length of Column (l) and hit the calculate button. Here is how the Value of Distance 'X' given Initial Deflection at Distance X from end A calculation can be explained with given input values -> 320471.1 = (asin(0.06/0.3))*5/pi.

FAQ

What is Value of Distance 'X' given Initial Deflection at Distance X from end A?

The Value of Distance 'X' given Initial Deflection at Distance X from end A formula is defined as a method to determine the distance from the end A of a column with initial curvature, where the initial deflection is known, providing a crucial parameter in structural analysis and design and is represented as x = (asin(y'/C))*l/pi or Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi. Initial Deflection is the deformation that a structural component experiences before any external load is applied or due to inherent imperfections such as residual stresses etc, Maximum Initial Deflection is the degree to which a structural element is displaced under a load & 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.

How to calculate Value of Distance 'X' given Initial Deflection at Distance X from end A?

The Value of Distance 'X' given Initial Deflection at Distance X from end A formula is defined as a method to determine the distance from the end A of a column with initial curvature, where the initial deflection is known, providing a crucial parameter in structural analysis and design is calculated using Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi. To calculate Value of Distance 'X' given Initial Deflection at Distance X from end A, you need Initial Deflection (y'), Maximum Initial Deflection (C) & Length of Column (l). With our tool, you need to enter the respective value for Initial Deflection, Maximum Initial Deflection & Length of Column 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 Distance of Deflection from end A?

In this formula, Distance of Deflection from end A uses Initial Deflection, Maximum Initial Deflection & Length of Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

Distance of Deflection from end A = (asin(Deflection of Column/((1/(1-(Crippling Load/Euler Load)))*Maximum Initial Deflection)))*Length of Column/pi

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