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

GoPrestress Force at Distance X by Taylor Series Expansion Formula

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

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

P_x - Prestress Force at a Distance?N - Vertical Resultant?θ - Subtended Angle in Degrees?

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

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Here is how the Prestressing Force at Distance x from Stretching End for Known Resultant equation looks like with Values.

Here is how the Prestressing Force at Distance x from Stretching End for Known Resultant equation looks like with Units.

Here is how the Prestressing Force at Distance x from Stretching End for Known Resultant equation looks like.

96.5926 = \frac{50}{2 \cdot \sin (\frac{30}{2})}

96.5926kN = \frac{50kN}{2 \cdot \sin (\frac{30°}{2})}

96.5926 = \frac{50}{2 \cdot \sin (\frac{30}{2})}

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

Follow our step by step solution on how to calculate Prestressing Force at Distance x from Stretching End for Known Resultant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P x = \frac{50kN}{2 \cdot \sin (\frac{30°}{2})}

Next Step Convert Units

∴

P x = \frac{50kN}{2 \cdot \sin (\frac{0.5236rad}{2})}

Next Step Prepare to Evaluate

∴

P x = \frac{50}{2 \cdot \sin (\frac{0.5236}{2})}

Next Step Evaluate

∴

P x = 96592.5826289247N

Next Step Convert to Output's Unit

∴

P x = 96.5925826289247kN

LAST Step Rounding Answer

∴

P x = 96.5926kN

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

Variables

Functions

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

Vertical Resultant

Vertical Resultant is the resultant of vertical reaction from concrete to tendons due to curvature of the tendon.

Symbol: N

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Vertical Resultant

Subtended Angle in Degrees

Subtended Angle in Degrees is the angle made by something from a given viewpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Subtended Angle in Degrees

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.

Syntax: sin(Angle)

Other Formulas to find Prestress Force at a Distance

Go Prestress Force at Distance X by Taylor Series Expansion

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

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 Subtended Angle given Resultant Reaction

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

Go Prestress Force at Stressing End using Taylor Series Expansion

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

Go Coefficient of Friction given Px

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

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

Prestressing Force at Distance x from Stretching End for Known Resultant evaluator uses Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2)) to evaluate 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 evaluate Prestressing Force at Distance x from Stretching End for Known Resultant using this online evaluator? To use this online evaluator 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.

FAQs on Prestressing Force at Distance x from Stretching End for Known Resultant

What is the formula to find Prestressing Force at Distance x from Stretching End for Known Resultant?

The formula of Prestressing Force at Distance x from Stretching End for Known Resultant is expressed as Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2)). Here is an example- 0.096593 = 50000/(2*sin(0.5235987755982/2)).

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

With Vertical Resultant (N) & Subtended Angle in Degrees (θ) we can find Prestressing Force at Distance x from Stretching End for Known Resultant using the formula - Prestress Force at a Distance = Vertical Resultant/(2*sin(Subtended Angle in Degrees/2)). This formula also uses Sine function(s).

What are the other ways to Calculate Prestress Force at a Distance?

Here are the different ways to Calculate Prestress Force at a Distance-

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

Can the Prestressing Force at Distance x from Stretching End for Known Resultant be negative?

No, the Prestressing Force at Distance x from Stretching End for Known Resultant, measured in Force cannot be negative.

Which unit is used to measure Prestressing Force at Distance x from Stretching End for Known Resultant?

Prestressing Force at Distance x from Stretching End for Known Resultant is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Prestressing Force at Distance x from Stretching End for Known Resultant can be measured.

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

​GoPrestress Force at Distance X by Taylor Series Expansion Formula

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

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

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

Other Formulas to find Prestress Force at a Distance

Other formulas in Friction Loss category

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

FAQs on Prestressing Force at Distance x from Stretching End for Known Resultant

Variable Name

GoPrestress Force at Distance X by Taylor Series Expansion Formula