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Resultant of Vertical Reaction from Concrete on Tendon Formula

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

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

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

Resultant of Vertical Reaction from Concrete on Tendon Example

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Here is how the Resultant of Vertical Reaction from Concrete on Tendon equation looks like with Values.

Here is how the Resultant of Vertical Reaction from Concrete on Tendon equation looks like with Units.

Here is how the Resultant of Vertical Reaction from Concrete on Tendon equation looks like.

49.6933 = 2 \cdot 96 \cdot \sin (\frac{30}{2})

49.6933kN = 2 \cdot 96kN \cdot \sin (\frac{30°}{2})

49.6933 = 2 \cdot 96 \cdot \sin (\frac{30}{2})

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Resultant of Vertical Reaction from Concrete on Tendon Solution

Follow our step by step solution on how to calculate Resultant of Vertical Reaction from Concrete on Tendon?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = 2 \cdot 96kN \cdot \sin (\frac{30°}{2})

Next Step Convert Units

∴

N = 2 \cdot 96kN \cdot \sin (\frac{0.5236rad}{2})

Next Step Prepare to Evaluate

∴

N = 2 \cdot 96 \cdot \sin (\frac{0.5236}{2})

Next Step Evaluate

∴

N = 49693.2566596748N

Next Step Convert to Output's Unit

∴

N = 49.6932566596748kN

LAST Step Rounding Answer

∴

N = 49.6933kN

Resultant of Vertical Reaction from Concrete on Tendon Formula Elements

Variables

Functions

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

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

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 in Friction Loss category

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))

Go Prestress Force at Stressing End using Taylor Series Expansion

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

How to Evaluate Resultant of Vertical Reaction from Concrete on Tendon?

Resultant of Vertical Reaction from Concrete on Tendon evaluator uses Vertical Resultant = 2*Prestress Force at a Distance*sin(Subtended Angle in Degrees/2) to evaluate the Vertical Resultant, The Resultant of Vertical Reaction from Concrete on Tendon is defined as an infinitesimal length of tendon is considered. Vertical Resultant is denoted by N symbol.

How to evaluate Resultant of Vertical Reaction from Concrete on Tendon using this online evaluator? To use this online evaluator for Resultant of Vertical Reaction from Concrete on Tendon, enter Prestress Force at a Distance (P_x) & Subtended Angle in Degrees (θ) and hit the calculate button.

FAQs on Resultant of Vertical Reaction from Concrete on Tendon

What is the formula to find Resultant of Vertical Reaction from Concrete on Tendon?

The formula of Resultant of Vertical Reaction from Concrete on Tendon is expressed as Vertical Resultant = 2*Prestress Force at a Distance*sin(Subtended Angle in Degrees/2). Here is an example- 0.025882 = 2*96000*sin(0.5235987755982/2).

How to calculate Resultant of Vertical Reaction from Concrete on Tendon?

With Prestress Force at a Distance (P_x) & Subtended Angle in Degrees (θ) we can find Resultant of Vertical Reaction from Concrete on Tendon using the formula - Vertical Resultant = 2*Prestress Force at a Distance*sin(Subtended Angle in Degrees/2). This formula also uses Sine (sin) function(s).

Can the Resultant of Vertical Reaction from Concrete on Tendon be negative?

No, the Resultant of Vertical Reaction from Concrete on Tendon, measured in Force cannot be negative.

Which unit is used to measure Resultant of Vertical Reaction from Concrete on Tendon?

Resultant of Vertical Reaction from Concrete on Tendon is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Resultant of Vertical Reaction from Concrete on Tendon can be measured.

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Resultant of Vertical Reaction from Concrete on Tendon Formula

Resultant of Vertical Reaction from Concrete on Tendon Example

Resultant of Vertical Reaction from Concrete on Tendon Solution

Resultant of Vertical Reaction from Concrete on Tendon Formula Elements

Other formulas in Friction Loss category

How to Evaluate Resultant of Vertical Reaction from Concrete on Tendon?

FAQs on Resultant of Vertical Reaction from Concrete on Tendon

Variable Name