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Wobble Coefficient k given Px Formula

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Wobble Coefficient is found by multiplying the jacking force at any distance from jacking end with the average of the intended angular deviation from the design profile. Check FAQs

k = (\frac{1}{x}) \cdot (1 - (μ friction \cdot a) - (\frac{P x}{P End}))

k - Wobble Coefficient?x - Distance from Left End?μ_friction - Prestress Friction Coefficient?a - Cumulative Angle?P_x - Prestress Force at a Distance?P_End - End Prestress Force?

Wobble Coefficient k given Px Example

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Here is how the Wobble Coefficient k given Px equation looks like with Values.

Here is how the Wobble Coefficient k given Px equation looks like with Units.

Here is how the Wobble Coefficient k given Px equation looks like.

0.0196 = (\frac{1}{10.1}) \cdot (1 - (0.067 \cdot 2) - (\frac{96}{120}))

0.0196 = (\frac{1}{10.1mm}) \cdot (1 - (0.067 \cdot 2°) - (\frac{96kN}{120kN}))

0.0196 = (\frac{1}{10.1}) \cdot (1 - (0.067 \cdot 2) - (\frac{96}{120}))

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Wobble Coefficient k given Px Solution

Follow our step by step solution on how to calculate Wobble Coefficient k given Px?

FIRST Step Consider the formula

k = (\frac{1}{x}) \cdot (1 - (μ friction \cdot a) - (\frac{P x}{P End}))

Next Step Substitute values of Variables

∴

k = (\frac{1}{10.1mm}) \cdot (1 - (0.067 \cdot 2°) - (\frac{96kN}{120kN}))

Next Step Convert Units

∴

k = (\frac{1}{10.1mm}) \cdot (1 - (0.067 \cdot 0.0349rad) - (\frac{96kN}{120kN}))

Next Step Prepare to Evaluate

∴

k = (\frac{1}{10.1}) \cdot (1 - (0.067 \cdot 0.0349) - (\frac{96}{120}))

Next Step Evaluate

∴

k = 0.0195704216635968

LAST Step Rounding Answer

∴

k = 0.0196

Wobble Coefficient k given Px Formula Elements

Variables

Wobble Coefficient

Wobble Coefficient is found by multiplying the jacking force at any distance from jacking end with the average of the intended angular deviation from the design profile.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wobble Coefficient

Distance from Left End

Distance from Left End is the distance considered from the left jacking end on a prestressed member.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Left End

Prestress Friction Coefficient

The Prestress Friction Coefficient (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_friction

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prestress Friction Coefficient

Cumulative Angle

Cumulative Angle here refers to the angle in radian through which the tangent to the cable profile has turned between any two points under consideration.

Symbol: a

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Cumulative Angle

Prestress Force at a Distance

Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end.

Symbol: P_x

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestress Force at a Distance

End Prestress Force

End Prestress Force refers to the applied prestressing force at the stretching end of tendon.

Symbol: P_End

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find End Prestress Force

Other formulas in Friction Loss category

Go Resultant of Vertical Reaction from Concrete on Tendon

N = 2 \cdot P x \cdot \sin (\frac{θ}{2})

Go Prestressing Force at Distance x from Stretching End for Known Resultant

P x = \frac{N}{2 \cdot \sin (\frac{θ}{2})}

Go Subtended Angle given Resultant Reaction

θ = 2 \cdot a \sin (\frac{N}{2 \cdot P x})

Go Prestress Force at Distance X by Taylor Series Expansion

P x = P End \cdot (1 - (μ friction \cdot a) - (k \cdot x))

How to Evaluate Wobble Coefficient k given Px?

Wobble Coefficient k given Px evaluator uses Wobble Coefficient = (1/Distance from Left End)*(1-(Prestress Friction Coefficient*Cumulative Angle)-(Prestress Force at a Distance/End Prestress Force)) to evaluate the Wobble Coefficient, The Wobble Coefficient k given Px is defined as the value of wobble coefficient or wave coefficient when values of cumulative angle and distance from end are considerably small. Wobble Coefficient is denoted by k symbol.

How to evaluate Wobble Coefficient k given Px using this online evaluator? To use this online evaluator for Wobble Coefficient k given Px, enter Distance from Left End (x), Prestress Friction Coefficient (μ_friction), Cumulative Angle (a), Prestress Force at a Distance (P_x) & End Prestress Force (P_End) and hit the calculate button.

FAQs on Wobble Coefficient k given Px

What is the formula to find Wobble Coefficient k given Px?

The formula of Wobble Coefficient k given Px is expressed as Wobble Coefficient = (1/Distance from Left End)*(1-(Prestress Friction Coefficient*Cumulative Angle)-(Prestress Force at a Distance/End Prestress Force)). Here is an example- 0.01957 = (1/0.0101)*(1-(0.067*0.03490658503988)-(96000/120000)).

How to calculate Wobble Coefficient k given Px?

With Distance from Left End (x), Prestress Friction Coefficient (μ_friction), Cumulative Angle (a), Prestress Force at a Distance (P_x) & End Prestress Force (P_End) we can find Wobble Coefficient k given Px using the formula - Wobble Coefficient = (1/Distance from Left End)*(1-(Prestress Friction Coefficient*Cumulative Angle)-(Prestress Force at a Distance/End Prestress Force)).

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Wobble Coefficient k given Px Formula

Wobble Coefficient k given Px Example

Wobble Coefficient k given Px Solution

Wobble Coefficient k given Px Formula Elements

Other formulas in Friction Loss category

How to Evaluate Wobble Coefficient k given Px?

FAQs on Wobble Coefficient k given Px

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