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Coefficient of Friction given Px Calculator

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✖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.ⓘ Cumulative Angle [a]			+10% -10%
✖Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end.ⓘ Prestress Force at a Distance [P_x]			+10% -10%
✖End Prestress Force refers to the applied prestressing force at the stretching end of tendon.ⓘ End Prestress Force [P_End]			+10% -10%
✖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.ⓘ Wobble Coefficient [k]			+10% -10%
✖Distance from Left End is the distance considered from the left jacking end on a prestressed member.ⓘ Distance from Left End [x]			+10% -10%

✖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.ⓘ Coefficient of Friction given Px [μ_friction]

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Coefficient of Friction given Px Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prestress Friction Coefficient = (1/Cumulative Angle)*(1-((Prestress Force at a Distance/End Prestress Force)+(Wobble Coefficient*Distance from Left End)))
μ_friction = (1/a)*(1-((P_x/P_End)+(k*x)))
This formula uses 6 Variables

Variables Used

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.
Cumulative Angle - (Measured in Radian) - 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.
Prestress Force at a Distance - (Measured in Kilonewton) - Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end.
End Prestress Force - (Measured in Kilonewton) - End Prestress Force refers to the applied prestressing force at the stretching end of tendon.
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.
Distance from Left End - (Measured in Millimeter) - Distance from Left End is the distance considered from the left jacking end on a prestressed member.

STEP 1: Convert Input(s) to Base Unit

Cumulative Angle: 2 Degree --> 0.03490658503988 Radian (Check conversion here)
Prestress Force at a Distance: 96 Kilonewton --> 96 Kilonewton No Conversion Required
End Prestress Force: 120 Kilonewton --> 120 Kilonewton No Conversion Required
Wobble Coefficient: 0.007 --> No Conversion Required
Distance from Left End: 10.1 Millimeter --> 10.1 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_friction = (1/a)*(1-((P_x/P_End)+(k*x))) --> (1/0.03490658503988)*(1-((96/120)+(0.007*10.1)))

Evaluating ... ...

μ_friction = 3.70417214552147

STEP 3: Convert Result to Output's Unit

3.70417214552147 --> No Conversion Required

FINAL ANSWER

3.70417214552147 ≈ 3.704172 <-- Prestress Friction Coefficient

(Calculation completed in 00.004 seconds)

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< Friction Loss Calculators

Prestress Force at Distance X by Taylor Series Expansion

LaTeX Go Prestress Force at a Distance = End Prestress Force*(1-(Prestress Friction Coefficient*Cumulative Angle)-(Wobble Coefficient*Distance from Left End))

Subtended Angle given Resultant Reaction

LaTeX Go Subtended Angle in Degrees = 2*asin(Vertical Resultant/(2*Prestress Force at a Distance))

Prestressing Force at Distance x from Stretching End for Known Resultant

LaTeX Go Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2))

Resultant of Vertical Reaction from Concrete on Tendon

LaTeX Go Vertical Resultant = 2*Prestress Force at a Distance*sin(Subtended Angle in Degrees/2)

Coefficient of Friction given Px Formula

LaTeX Go

Prestress Friction Coefficient = (1/Cumulative Angle)*(1-((Prestress Force at a Distance/End Prestress Force)+(Wobble Coefficient*Distance from Left End)))
μ_friction = (1/a)*(1-((P_x/P_End)+(k*x)))

What is meant by Vertical or Transverse Prestresisng?

Besides the longitudinal prestressing sometimes it may be desirable to provide vertical prestresisng to reduce or eliminate the principal tensile stress. Vertical prestressing is done by providing high tension vertical steel wires of small diameter at suitable pitch & stressed adequately.

How to Calculate Coefficient of Friction given Px?

Coefficient of Friction given Px calculator uses Prestress Friction Coefficient = (1/Cumulative Angle)*(1-((Prestress Force at a Distance/End Prestress Force)+(Wobble Coefficient*Distance from Left End))) to calculate 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 calculate Coefficient of Friction given Px using this online calculator? To use this online calculator 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. Here is how the Coefficient of Friction given Px calculation can be explained with given input values -> 3.704172 = (1/0.03490658503988)*(1-((96000/120000)+(0.007*0.0101))).

FAQ

What is Coefficient of Friction given Px?

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 and is represented as μ_friction = (1/a)*(1-((P_x/P_End)+(k*x))) or Prestress Friction Coefficient = (1/Cumulative Angle)*(1-((Prestress Force at a Distance/End Prestress Force)+(Wobble Coefficient*Distance from Left End))). 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, Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end, End Prestress Force refers to the applied prestressing force at the stretching end of tendon, 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 & Distance from Left End is the distance considered from the left jacking end on a prestressed member.

How to calculate Coefficient of Friction given Px?

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 is calculated using Prestress Friction Coefficient = (1/Cumulative Angle)*(1-((Prestress Force at a Distance/End Prestress Force)+(Wobble Coefficient*Distance from Left End))). To calculate Coefficient of Friction given Px, you need Cumulative Angle (a), Prestress Force at a Distance (P_x), End Prestress Force (P_End), Wobble Coefficient (k) & Distance from Left End (x). With our tool, you need to enter the respective value for Cumulative Angle, Prestress Force at a Distance, End Prestress Force, Wobble Coefficient & Distance from Left End and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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