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

GoValue of Distance 'X' given Final Deflection at Distance X from end A of Column Formula

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Distance of Deflection from end A is the distance x of deflection from end A. Check FAQs

x = (a \sin (\frac{y'}{C})) \cdot \frac{l}{π}

x - Distance of Deflection from end A?y' - Initial Deflection?C - Maximum Initial Deflection?l - Length of Column?π - Archimedes' constant?

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

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Here is how the Value of Distance 'X' given Initial Deflection at Distance X from end A equation looks like with Values.

Here is how the Value of Distance 'X' given Initial Deflection at Distance X from end A equation looks like with Units.

Here is how the Value of Distance 'X' given Initial Deflection at Distance X from end A equation looks like.

320.4711 = (a \sin (\frac{60}{300})) \cdot \frac{5000}{3.1416}

320.4711mm = (a \sin (\frac{60mm}{300mm})) \cdot \frac{5000mm}{3.1416}

320.4711 = (a \sin (\frac{60}{300})) \cdot \frac{5000}{3.1416}

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

Follow our step by step solution on how to calculate Value of Distance 'X' given Initial Deflection at Distance X from end A?

FIRST Step Consider the formula

x = (a \sin (\frac{y'}{C})) \cdot \frac{l}{π}

Next Step Substitute values of Variables

∴

x = (a \sin (\frac{60mm}{300mm})) \cdot \frac{5000mm}{π}

Next Step Substitute values of Constants

∴

x = (a \sin (\frac{60mm}{300mm})) \cdot \frac{5000mm}{3.1416}

Next Step Convert Units

∴

x = (a \sin (\frac{0.06m}{0.3m})) \cdot \frac{5m}{3.1416}

Next Step Prepare to Evaluate

∴

x = (a \sin (\frac{0.06}{0.3})) \cdot \frac{5}{3.1416}

Next Step Evaluate

∴

x = 0.320471084244875m

Next Step Convert to Output's Unit

∴

x = 320.471084244875mm

LAST Step Rounding Answer

∴

x = 320.4711mm

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

Variables

Constants

Functions

Distance of Deflection from end A

Distance of Deflection from end A is the distance x of deflection from end A.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Deflection from end A

Initial Deflection

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.

Symbol: y'

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Initial Deflection

Maximum Initial Deflection

Maximum Initial Deflection is the degree to which a structural element is displaced under a load.

Symbol: C

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Maximum Initial Deflection

Length of Column

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.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Column

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: 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.

Syntax: asin(Number)

Other Formulas to find Distance of Deflection from end A

Go Value of Distance 'X' given Final Deflection at Distance X from end A of Column

x = (a \sin (\frac{δ c}{(\frac{1}{1 - (\frac{P}{P E})}) \cdot C})) \cdot \frac{l}{π}

Other formulas in Columns With Initial Curvature category

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

l = \frac{π \cdot x}{a \sin (\frac{y'}{C})}

Go Euler Load

P E = \frac{(π^{2}) \cdot ε column \cdot I}{l^{2}}

Go Modulus of Elasticity given Euler Load

ε column = \frac{P E \cdot (l^{2})}{π^{2} \cdot I}

Go Moment of Inertia given Euler Load

I = \frac{P E \cdot (l^{2})}{(π^{2}) \cdot ε column}

How to Evaluate 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 evaluator uses Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi to evaluate 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 evaluate Value of Distance 'X' given Initial Deflection at Distance X from end A using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Value of Distance 'X' given Initial Deflection at Distance X from end A?

The formula of Value of Distance 'X' given Initial Deflection at Distance X from end A is expressed as Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi. Here is an example- 320471.1 = (asin(0.06/0.3))*5/pi.

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

With Initial Deflection (y'), Maximum Initial Deflection (C) & Length of Column (l) we can find Value of Distance 'X' given Initial Deflection at Distance X from end A using the formula - Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi. This formula also uses Archimedes' constant and , Sine (sin), Inverse Sine (asin) function(s).

What are the other ways to Calculate Distance of Deflection from end A?

Here are the different ways to Calculate Distance of Deflection from end A-

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

Can the Value of Distance 'X' given Initial Deflection at Distance X from end A be negative?

Yes, the Value of Distance 'X' given Initial Deflection at Distance X from end A, measured in Length can be negative.

Which unit is used to measure 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 is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Value of Distance 'X' given Initial Deflection at Distance X from end A can be measured.

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

​GoValue of Distance 'X' given Final Deflection at Distance X from end A of Column Formula

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

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

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

Other Formulas to find Distance of Deflection from end A

Other formulas in Columns With Initial Curvature category

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

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

Variable Name

GoValue of Distance 'X' given Final Deflection at Distance X from end A of Column Formula