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Subtended Angle given Resultant Reaction Formula

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

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

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

Subtended Angle given Resultant Reaction Example

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Here is how the Subtended Angle given Resultant Reaction equation looks like with Values.

Here is how the Subtended Angle given Resultant Reaction equation looks like with Units.

Here is how the Subtended Angle given Resultant Reaction equation looks like.

30.1896 = 2 \cdot a \sin (\frac{50}{2 \cdot 96})

30.1896° = 2 \cdot a \sin (\frac{50kN}{2 \cdot 96kN})

30.1896 = 2 \cdot a \sin (\frac{50}{2 \cdot 96})

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Subtended Angle given Resultant Reaction Solution

Follow our step by step solution on how to calculate Subtended Angle given Resultant Reaction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

θ = 2 \cdot a \sin (\frac{50kN}{2 \cdot 96kN})

Next Step Prepare to Evaluate

∴

θ = 2 \cdot a \sin (\frac{50}{2 \cdot 96})

Next Step Evaluate

∴

θ = 0.526907469549188rad

Next Step Convert to Output's Unit

∴

θ = 30.1895741990921°

LAST Step Rounding Answer

∴

θ = 30.1896°

Subtended Angle given Resultant Reaction Formula Elements

Variables

Functions

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

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

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

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 Prestressing Force at Distance x from Stretching End for Known Resultant

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

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 Subtended Angle given Resultant Reaction?

Subtended Angle given Resultant Reaction evaluator uses Subtended Angle in Degrees = 2*asin(Vertical Resultant/(2*Prestress Force at a Distance)) to evaluate the Subtended Angle in Degrees, The Subtended Angle given Resultant Reaction is defined as the angle made by the curvature of tendon having radius R and arc length dx. Subtended Angle in Degrees is denoted by θ symbol.

How to evaluate Subtended Angle given Resultant Reaction using this online evaluator? To use this online evaluator for Subtended Angle given Resultant Reaction, enter Vertical Resultant (N) & Prestress Force at a Distance (P_x) and hit the calculate button.

FAQs on Subtended Angle given Resultant Reaction

What is the formula to find Subtended Angle given Resultant Reaction?

The formula of Subtended Angle given Resultant Reaction is expressed as Subtended Angle in Degrees = 2*asin(Vertical Resultant/(2*Prestress Force at a Distance)). Here is an example- 3437.747 = 2*asin(50000/(2*96000)).

How to calculate Subtended Angle given Resultant Reaction?

With Vertical Resultant (N) & Prestress Force at a Distance (P_x) we can find Subtended Angle given Resultant Reaction using the formula - Subtended Angle in Degrees = 2*asin(Vertical Resultant/(2*Prestress Force at a Distance)). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Subtended Angle given Resultant Reaction be negative?

No, the Subtended Angle given Resultant Reaction, measured in Angle cannot be negative.

Which unit is used to measure Subtended Angle given Resultant Reaction?

Subtended Angle given Resultant Reaction is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Subtended Angle given Resultant Reaction can be measured.

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Subtended Angle given Resultant Reaction Formula

Subtended Angle given Resultant Reaction Example

Subtended Angle given Resultant Reaction Solution

Subtended Angle given Resultant Reaction Formula Elements

Other formulas in Friction Loss category

How to Evaluate Subtended Angle given Resultant Reaction?

FAQs on Subtended Angle given Resultant Reaction

Variable Name