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Angle of Bend given Head of Water and Buttress Resistance Formula

GoAngle of Bend given Buttress Resistance Formula

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Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends. Check FAQs

θ b = 2 \cdot a \sin (\frac{P BR}{(2 \cdot A cs) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + (γ water \cdot H liquid))})

θ_b - Angle of Bend in Environmental Engi.?P_BR - Buttress Resistance in Pipe?A_cs - Cross-Sectional Area?γ_water - Unit Weight of Water in KN per Cubic Meter?V_w - Flow Velocity of Fluid?H_liquid - Head of Liquid in Pipe?[g] - Gravitational acceleration on Earth?

Angle of Bend given Head of Water and Buttress Resistance Example

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Here is how the Angle of Bend given Head of Water and Buttress Resistance equation looks like with Values.

Here is how the Angle of Bend given Head of Water and Buttress Resistance equation looks like with Units.

Here is how the Angle of Bend given Head of Water and Buttress Resistance equation looks like.

36.1363 = 2 \cdot a \sin (\frac{1500}{(2 \cdot 13) \cdot ((\frac{9.81 \cdot {(13.47)}^{2}}{9.8066}) + (9.81 \cdot 0.46))})

36.1363° = 2 \cdot a \sin (\frac{1500kN}{(2 \cdot 13m²) \cdot ((\frac{9.81kN/m³ \cdot {(13.47m/s)}^{2}}{9.8066m/s²}) + (9.81kN/m³ \cdot 0.46m))})

36.1363 = 2 \cdot a \sin (\frac{1500}{(2 \cdot 13) \cdot ((\frac{9.81 \cdot {(13.47)}^{2}}{9.8066}) + (9.81 \cdot 0.46))})

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Angle of Bend given Head of Water and Buttress Resistance Solution

Follow our step by step solution on how to calculate Angle of Bend given Head of Water and Buttress Resistance?

FIRST Step Consider the formula

θ b = 2 \cdot a \sin (\frac{P BR}{(2 \cdot A cs) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + (γ water \cdot H liquid))})

Next Step Substitute values of Variables

∴

θ b = 2 \cdot a \sin (\frac{1500kN}{(2 \cdot 13m²) \cdot ((\frac{9.81kN/m³ \cdot {(13.47m/s)}^{2}}{[g]}) + (9.81kN/m³ \cdot 0.46m))})

Next Step Substitute values of Constants

∴

θ b = 2 \cdot a \sin (\frac{1500kN}{(2 \cdot 13m²) \cdot ((\frac{9.81kN/m³ \cdot {(13.47m/s)}^{2}}{9.8066m/s²}) + (9.81kN/m³ \cdot 0.46m))})

Next Step Convert Units

∴

θ b = 2 \cdot a \sin (\frac{1.5E+6N}{(2 \cdot 13m²) \cdot ((\frac{9810N/m³ \cdot {(13.47m/s)}^{2}}{9.8066m/s²}) + (9810N/m³ \cdot 0.46m))})

Next Step Prepare to Evaluate

∴

θ b = 2 \cdot a \sin (\frac{1.5E+6}{(2 \cdot 13) \cdot ((\frac{9810 \cdot {(13.47)}^{2}}{9.8066}) + (9810 \cdot 0.46))})

Next Step Evaluate

∴

θ b = 0.630697164456124rad

Next Step Convert to Output's Unit

∴

θ b = 36.1362856742111°

LAST Step Rounding Answer

∴

θ b = 36.1363°

Angle of Bend given Head of Water and Buttress Resistance Formula Elements

Variables

Constants

Functions

Angle of Bend in Environmental Engi.

Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.

Symbol: θ_b

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Bend in Environmental Engi.

Buttress Resistance in Pipe

Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.

Symbol: P_BR

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Buttress Resistance in Pipe

Cross-Sectional Area

Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area

Unit Weight of Water in KN per Cubic Meter

Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water.

Symbol: γ_water

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water in KN per Cubic Meter

Flow Velocity of Fluid

Flow Velocity of Fluid gives the velocity of an element of fluid at a position and time.

Symbol: V_w

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity of Fluid

Head of Liquid in Pipe

Head of Liquid in Pipe is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

Symbol: H_liquid

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head of Liquid in Pipe

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 to find Angle of Bend in Environmental Engi.

Go Angle of Bend given Buttress Resistance

θ b = 2 \cdot a \sin (\frac{P BR}{(2 \cdot A cs) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + P wt)})

Other formulas in Stresses at Bends category

Go Buttress Resistance using Head of Water

P BR = ((2 \cdot A cs) \cdot ((\frac{γ water \cdot ({V fw}^{2})}{[g]}) + (γ water \cdot H)) \cdot \sin (\frac{θ b}{2}))

Go Buttress Resistance using Angle of Bend

P BR = (2 \cdot A cs) \cdot (((γ water \cdot (\frac{{V fw}^{2}}{[g]})) + p i) \cdot \sin (\frac{θ b}{2}))

Go Area of Section of Pipe given Buttress Resistance

A cs = \frac{P BR}{(2) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + p i) \cdot \sin (\frac{θ b}{2})}

Go Area of Section of Pipe given Head of Water and Buttress Resistance

A cs = \frac{P BR}{(2) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + (γ water \cdot H liquid)) \cdot \sin (\frac{θ b}{2})}

How to Evaluate Angle of Bend given Head of Water and Buttress Resistance?

Angle of Bend given Head of Water and Buttress Resistance evaluator uses Angle of Bend in Environmental Engi. = 2*asin(Buttress Resistance in Pipe/((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+(Unit Weight of Water in KN per Cubic Meter*Head of Liquid in Pipe)))) to evaluate the Angle of Bend in Environmental Engi., The Angle of Bend given Head of Water and Buttress Resistance formula is defined as the value of angle of bend of the pipe or change in direction of water in the pipe. Angle of Bend in Environmental Engi. is denoted by θ_b symbol.

How to evaluate Angle of Bend given Head of Water and Buttress Resistance using this online evaluator? To use this online evaluator for Angle of Bend given Head of Water and Buttress Resistance, enter Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Unit Weight of Water in KN per Cubic Meter (γ_water), Flow Velocity of Fluid (V_w) & Head of Liquid in Pipe (H_liquid) and hit the calculate button.

FAQs on Angle of Bend given Head of Water and Buttress Resistance

What is the formula to find Angle of Bend given Head of Water and Buttress Resistance?

The formula of Angle of Bend given Head of Water and Buttress Resistance is expressed as Angle of Bend in Environmental Engi. = 2*asin(Buttress Resistance in Pipe/((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+(Unit Weight of Water in KN per Cubic Meter*Head of Liquid in Pipe)))). Here is an example- 1152.006 = 2*asin(1500000/((2*13)*(((9810*(13.47)^2)/[g])+(9810*0.46)))).

How to calculate Angle of Bend given Head of Water and Buttress Resistance?

With Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Unit Weight of Water in KN per Cubic Meter (γ_water), Flow Velocity of Fluid (V_w) & Head of Liquid in Pipe (H_liquid) we can find Angle of Bend given Head of Water and Buttress Resistance using the formula - Angle of Bend in Environmental Engi. = 2*asin(Buttress Resistance in Pipe/((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+(Unit Weight of Water in KN per Cubic Meter*Head of Liquid in Pipe)))). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine, Inverse Sine function(s).

What are the other ways to Calculate Angle of Bend in Environmental Engi.?

Here are the different ways to Calculate Angle of Bend in Environmental Engi.-

Angle of Bend in Environmental Engi.=2*asin(Buttress Resistance in Pipe/((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+Water Pressure in KN per Square Meter)))

Can the Angle of Bend given Head of Water and Buttress Resistance be negative?

No, the Angle of Bend given Head of Water and Buttress Resistance, measured in Angle cannot be negative.

Which unit is used to measure Angle of Bend given Head of Water and Buttress Resistance?

Angle of Bend given Head of Water and Buttress Resistance is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Bend given Head of Water and Buttress Resistance can be measured.

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Angle of Bend given Head of Water and Buttress Resistance Formula

​GoAngle of Bend given Buttress Resistance Formula

Angle of Bend given Head of Water and Buttress Resistance Example

Angle of Bend given Head of Water and Buttress Resistance Solution

Angle of Bend given Head of Water and Buttress Resistance Formula Elements

Other Formulas to find Angle of Bend in Environmental Engi.

Other formulas in Stresses at Bends category

How to Evaluate Angle of Bend given Head of Water and Buttress Resistance?

FAQs on Angle of Bend given Head of Water and Buttress Resistance

Variable Name

GoAngle of Bend given Buttress Resistance Formula