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

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✖Vertical Resultant is the resultant of vertical reaction from concrete to tendons due to curvature of the tendon.ⓘ Vertical Resultant [N]			+10% -10%
✖Subtended Angle in Degrees is the angle made by something from a given viewpoint.ⓘ Subtended Angle in Degrees [θ]			+10% -10%

✖Prestress Force at a Distance refers to the force on prestressed section at a distance x from stretching end.ⓘ Prestressing Force at Distance x from Stretching End for Known Resultant [P_x]

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

STEP 0: Pre-Calculation Summary

Formula Used

Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2))
P_x = N/(2*sin(θ/2))
This formula uses 1 Functions, 3 Variables

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)

Variables Used

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.
Vertical Resultant - (Measured in Kilonewton) - Vertical Resultant is the resultant of vertical reaction from concrete to tendons due to curvature of the tendon.
Subtended Angle in Degrees - (Measured in Radian) - Subtended Angle in Degrees is the angle made by something from a given viewpoint.

STEP 1: Convert Input(s) to Base Unit

Vertical Resultant: 50 Kilonewton --> 50 Kilonewton No Conversion Required
Subtended Angle in Degrees: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_x = N/(2*sin(θ/2)) --> 50/(2*sin(0.5235987755982/2))

Evaluating ... ...

P_x = 96.5925826289247

STEP 3: Convert Result to Output's Unit

96592.5826289247 Newton -->96.5925826289247 Kilonewton (Check conversion here)

FINAL ANSWER

96.5925826289247 ≈ 96.59258 Kilonewton <-- Prestress Force at a Distance

(Calculation completed in 00.009 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Losses of Prestress » Loss due to Anchorage Slip, Friction Loss and General Geometric Properties » Friction Loss » Prestressing Force at Distance x from Stretching End for Known Resultant

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NSS College of Engineering (NSSCE), Palakkad

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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)

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

LaTeX Go

Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2))
P_x = N/(2*sin(θ/2))

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

Prestressing Force at Distance x from Stretching End for Known Resultant calculator uses Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2)) to calculate the Prestress Force at a Distance, The Prestressing Force at Distance x from Stretching End for Known Resultant is defined as the equation to find out the prestressing force at a distance x from the stretching end of section in an infinitesimal length dx. Prestress Force at a Distance is denoted by P_x symbol.

How to calculate Prestressing Force at Distance x from Stretching End for Known Resultant using this online calculator? To use this online calculator for Prestressing Force at Distance x from Stretching End for Known Resultant, enter Vertical Resultant (N) & Subtended Angle in Degrees (θ) and hit the calculate button. Here is how the Prestressing Force at Distance x from Stretching End for Known Resultant calculation can be explained with given input values -> 0.096593 = 50000/(2*sin(0.5235987755982/2)).

FAQ

What is Prestressing Force at Distance x from Stretching End for Known Resultant?

The Prestressing Force at Distance x from Stretching End for Known Resultant is defined as the equation to find out the prestressing force at a distance x from the stretching end of section in an infinitesimal length dx and is represented as P_x = N/(2*sin(θ/2)) or Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2)). Vertical Resultant is the resultant of vertical reaction from concrete to tendons due to curvature of the tendon & Subtended Angle in Degrees is the angle made by something from a given viewpoint.

How to calculate Prestressing Force at Distance x from Stretching End for Known Resultant?

The Prestressing Force at Distance x from Stretching End for Known Resultant is defined as the equation to find out the prestressing force at a distance x from the stretching end of section in an infinitesimal length dx is calculated using Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2)). To calculate Prestressing Force at Distance x from Stretching End for Known Resultant, you need Vertical Resultant (N) & Subtended Angle in Degrees (θ). With our tool, you need to enter the respective value for Vertical Resultant & Subtended Angle in Degrees 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 Prestress Force at a Distance?

In this formula, Prestress Force at a Distance uses Vertical Resultant & Subtended Angle in Degrees. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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