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

GoArea of Section of Pipe given Buttress Resistance Formula

GoArea of Section of Pipe given Head of Water Formula

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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. Check FAQs

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})}

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

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

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Here is how the Area of Section of Pipe given Head of Water and Buttress Resistance equation looks like with Values.

Here is how the Area of Section of Pipe given Head of Water and Buttress Resistance equation looks like with Units.

Here is how the Area of Section of Pipe given Head of Water and Buttress Resistance equation looks like.

13.0476 = \frac{1500}{(2) \cdot ((\frac{9.81 \cdot {(13.47)}^{2}}{9.8066}) + (9.81 \cdot 0.46)) \cdot \sin (\frac{36}{2})}

13.0476m² = \frac{1500kN}{(2) \cdot ((\frac{9.81kN/m³ \cdot {(13.47m/s)}^{2}}{9.8066m/s²}) + (9.81kN/m³ \cdot 0.46m)) \cdot \sin (\frac{36°}{2})}

13.0476 = \frac{1500}{(2) \cdot ((\frac{9.81 \cdot {(13.47)}^{2}}{9.8066}) + (9.81 \cdot 0.46)) \cdot \sin (\frac{36}{2})}

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

Follow our step by step solution on how to calculate Area of Section of Pipe given Head of Water and Buttress Resistance?

FIRST Step Consider the formula

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})}

Next Step Substitute values of Variables

∴

A cs = \frac{1500kN}{(2) \cdot ((\frac{9.81kN/m³ \cdot {(13.47m/s)}^{2}}{[g]}) + (9.81kN/m³ \cdot 0.46m)) \cdot \sin (\frac{36°}{2})}

Next Step Substitute values of Constants

∴

A cs = \frac{1500kN}{(2) \cdot ((\frac{9.81kN/m³ \cdot {(13.47m/s)}^{2}}{9.8066m/s²}) + (9.81kN/m³ \cdot 0.46m)) \cdot \sin (\frac{36°}{2})}

Next Step Convert Units

∴

A cs = \frac{1.5E+6N}{(2) \cdot ((\frac{9810N/m³ \cdot {(13.47m/s)}^{2}}{9.8066m/s²}) + (9810N/m³ \cdot 0.46m)) \cdot \sin (\frac{0.6283rad}{2})}

Next Step Prepare to Evaluate

∴

A cs = \frac{1.5E+6}{(2) \cdot ((\frac{9810 \cdot {(13.47)}^{2}}{9.8066}) + (9810 \cdot 0.46)) \cdot \sin (\frac{0.6283}{2})}

Next Step Evaluate

∴

A cs = 13.0475752270306m²

LAST Step Rounding Answer

∴

A cs = 13.0476m²

Area of Section of Pipe given Head of Water and Buttress Resistance Formula Elements

Variables

Constants

Functions

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

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

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

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.

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)

Other Formulas to find Cross-Sectional Area

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

A cs = \frac{T tkn}{(γ water \cdot H liquid) + (\frac{γ water \cdot {(V fw)}^{2}}{[g]})}

Go Area of Section of Pipe given Total Tension in Pipe

A cs = \frac{T tkn}{(P wt) + (\frac{γ water \cdot {(V fw)}^{2}}{[g]})}

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 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)})

Go Angle of Bend given Head of Water and Buttress Resistance

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))})

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}))

How to Evaluate Area of Section of Pipe given Head of Water and Buttress Resistance?

Area of Section of Pipe given Head of Water and Buttress Resistance evaluator uses Cross-Sectional Area = Buttress Resistance in Pipe/((2)*(((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))*sin((Angle of Bend in Environmental Engi.)/(2))) to evaluate the Cross-Sectional Area, The Area of Section of Pipe given Head of Water and Buttress Resistance is defined as the value of cross-sectional area of a pipe that is required to handle a specific flow rate of water, taking into account the head (or pressure) of water and the resistance provided by the pipe's structure, often referred to as buttress resistance. Cross-Sectional Area is denoted by A_cs symbol.

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

FAQs on Area of Section of Pipe given Head of Water and Buttress Resistance

What is the formula to find Area of Section of Pipe given Head of Water and Buttress Resistance?

The formula of Area of Section of Pipe given Head of Water and Buttress Resistance is expressed as Cross-Sectional Area = Buttress Resistance in Pipe/((2)*(((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))*sin((Angle of Bend in Environmental Engi.)/(2))). Here is an example- 7.34361 = 1500000/((2)*(((9810*(13.47)^2)/[g])+(9810*0.46))*sin((0.62831853071784)/(2))).

How to calculate Area of Section of Pipe given Head of Water and Buttress Resistance?

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

What are the other ways to Calculate Cross-Sectional Area?

Here are the different ways to Calculate Cross-Sectional Area-

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

Can the Area of Section of Pipe given Head of Water and Buttress Resistance be negative?

No, the Area of Section of Pipe given Head of Water and Buttress Resistance, measured in Area cannot be negative.

Which unit is used to measure Area of Section of Pipe given Head of Water and Buttress Resistance?

Area of Section of Pipe given Head of Water and Buttress Resistance is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Section of Pipe given Head of Water and Buttress Resistance can be measured.

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

​GoArea of Section of Pipe given Buttress Resistance Formula

​GoArea of Section of Pipe given Head of Water Formula

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

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

Area of Section of Pipe given Head of Water and Buttress Resistance Formula Elements

Other Formulas to find Cross-Sectional Area

Other formulas in Stresses at Bends category

How to Evaluate Area of Section of Pipe given Head of Water and Buttress Resistance?

FAQs on Area of Section of Pipe given Head of Water and Buttress Resistance

Variable Name

GoArea of Section of Pipe given Buttress Resistance Formula

GoArea of Section of Pipe given Head of Water Formula