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Coefficient of Friction given Px Formula

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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. Check FAQs

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

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

Coefficient of Friction given Px Example

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Here is how the Coefficient of Friction given Px equation looks like with Values.

Here is how the Coefficient of Friction given Px equation looks like with Units.

Here is how the Coefficient of Friction given Px equation looks like.

3.7042 = (\frac{1}{2}) \cdot (1 - ((\frac{96}{120}) + (0.007 \cdot 10.1)))

3.7042 = (\frac{1}{2°}) \cdot (1 - ((\frac{96kN}{120kN}) + (0.007 \cdot 10.1mm)))

3.7042 = (\frac{1}{2}) \cdot (1 - ((\frac{96}{120}) + (0.007 \cdot 10.1)))

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Coefficient of Friction given Px Solution

Follow our step by step solution on how to calculate Coefficient of Friction given Px?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ friction = (\frac{1}{2°}) \cdot (1 - ((\frac{96kN}{120kN}) + (0.007 \cdot 10.1mm)))

Next Step Convert Units

∴

μ friction = (\frac{1}{0.0349rad}) \cdot (1 - ((\frac{96kN}{120kN}) + (0.007 \cdot 10.1mm)))

Next Step Prepare to Evaluate

∴

μ friction = (\frac{1}{0.0349}) \cdot (1 - ((\frac{96}{120}) + (0.007 \cdot 10.1)))

Next Step Evaluate

∴

μ friction = 3.70417214552147

LAST Step Rounding Answer

∴

μ friction = 3.7042

Coefficient of Friction given Px Formula Elements

Variables

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

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

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 Coefficient of Friction given Px?

Coefficient of Friction given Px evaluator uses Prestress Friction Coefficient = (1/Cumulative Angle)*(1-((Prestress Force at a Distance/End Prestress Force)+(Wobble Coefficient*Distance from Left End))) to evaluate the Prestress Friction Coefficient, The Coefficient of Friction given Px is defined as the equation to find value of friction coefficient between duct and tendon when values of cumulative angle and distance from left end is considerably small. Prestress Friction Coefficient is denoted by μ_friction symbol.

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

FAQs on Coefficient of Friction given Px

What is the formula to find Coefficient of Friction given Px?

The formula of Coefficient of Friction given Px is expressed as Prestress Friction Coefficient = (1/Cumulative Angle)*(1-((Prestress Force at a Distance/End Prestress Force)+(Wobble Coefficient*Distance from Left End))). Here is an example- 3.704172 = (1/0.03490658503988)*(1-((96000/120000)+(0.007*0.0101))).

How to calculate Coefficient of Friction given Px?

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

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Coefficient of Friction given Px Formula

Coefficient of Friction given Px Example

Coefficient of Friction given Px Solution

Coefficient of Friction given Px Formula Elements

Other formulas in Friction Loss category

How to Evaluate Coefficient of Friction given Px?

FAQs on Coefficient of Friction given Px

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