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))
Px = 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
Px = N/(2*sin(θ/2)) --> 50/(2*sin(0.5235987755982/2))
Evaluating ... ...
Px = 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 00.004 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 500+ more calculators!
Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has verified this Calculator and 400+ more calculators!

7 Friction Loss Calculators

Coefficient of Friction given Px
Go Prestress Friction Coefficient = (1/Cumulative Angle)*(1-((Prestress Force at a Distance/End Prestress Force)+(Wobble Coefficient*Distance from Left End)))
Wobble Coefficient k given Px
Go Wobble Coefficient = (1/Distance from Left End)*(1-(Prestress Friction Coefficient*Cumulative Angle)-(Prestress Force at a Distance/End Prestress Force))
Prestress Force at Stressing End using Taylor Series Expansion
Go End Prestress Force = Prestress Force at a Distance/((1-(Prestress Friction Coefficient*Cumulative Angle)-(Wobble Coefficient*Distance from Left End)))
Prestress Force at Distance X by Taylor Series Expansion
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
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
Go Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2))
Resultant of Vertical Reaction from Concrete on Tendon
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

Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2))
Px = 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 Px 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 Px = 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!