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Area of Section of Pipe given Head of Water Formula

GoArea of Section of Pipe given Buttress Resistance Formula

GoArea of Section of Pipe given Head of Water and Buttress Resistance 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{T tkn}{(γ water \cdot H liquid) + (\frac{γ water \cdot {(V fw)}^{2}}{[g]})}

A_cs - Cross-Sectional Area?T_tkn - Total Tension in Pipe in KN?γ_water - Unit Weight of Water in KN per Cubic Meter?H_liquid - Head of Liquid in Pipe?V_fw - Velocity of Flowing Water?[g] - Gravitational acceleration on Earth?

Area of Section of Pipe given Head of Water Example

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

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

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

13.1625 = \frac{482.7}{(9.81 \cdot 0.46) + (\frac{9.81 \cdot {(5.67)}^{2}}{9.8066})}

13.1625m² = \frac{482.7kN}{(9.81kN/m³ \cdot 0.46m) + (\frac{9.81kN/m³ \cdot {(5.67m/s)}^{2}}{9.8066m/s²})}

13.1625 = \frac{482.7}{(9.81 \cdot 0.46) + (\frac{9.81 \cdot {(5.67)}^{2}}{9.8066})}

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Area of Section of Pipe given Head of Water Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A cs = \frac{482.7kN}{(9.81kN/m³ \cdot 0.46m) + (\frac{9.81kN/m³ \cdot {(5.67m/s)}^{2}}{[g]})}

Next Step Substitute values of Constants

∴

A cs = \frac{482.7kN}{(9.81kN/m³ \cdot 0.46m) + (\frac{9.81kN/m³ \cdot {(5.67m/s)}^{2}}{9.8066m/s²})}

Next Step Convert Units

∴

A cs = \frac{482700N}{(9810N/m³ \cdot 0.46m) + (\frac{9810N/m³ \cdot {(5.67m/s)}^{2}}{9.8066m/s²})}

Next Step Prepare to Evaluate

∴

A cs = \frac{482700}{(9810 \cdot 0.46) + (\frac{9810 \cdot {(5.67)}^{2}}{9.8066})}

Next Step Evaluate

∴

A cs = 13.1624578087652m²

LAST Step Rounding Answer

∴

A cs = 13.1625m²

Area of Section of Pipe given Head of Water Formula Elements

Variables

Constants

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

Total Tension in Pipe in KN

Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN.

Symbol: T_tkn

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Total Tension in Pipe in KN

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

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

Velocity of Flowing Water

Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.

Symbol: V_fw

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Flowing Water

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

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 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})}

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?

Area of Section of Pipe given Head of Water evaluator uses 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])) to evaluate the Cross-Sectional Area, The Area of Section of Pipe given Head of Water formula is defined as the value of cross-sectional area of a pipe that is required to handle a certain head (or pressure) of water. Cross-Sectional Area is denoted by A_cs symbol.

How to evaluate Area of Section of Pipe given Head of Water using this online evaluator? To use this online evaluator for Area of Section of Pipe given Head of Water, enter Total Tension in Pipe in KN (T_tkn), Unit Weight of Water in KN per Cubic Meter (γ_water), Head of Liquid in Pipe (H_liquid) & Velocity of Flowing Water (V_fw) and hit the calculate button.

FAQs on Area of Section of Pipe given Head of Water

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

The formula of Area of Section of Pipe given Head of Water is expressed as 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])). Here is an example- 13.16246 = 482700/((9810*0.46)+((9810*(5.67)^2)/[g])).

How to calculate Area of Section of Pipe given Head of Water?

With Total Tension in Pipe in KN (T_tkn), Unit Weight of Water in KN per Cubic Meter (γ_water), Head of Liquid in Pipe (H_liquid) & Velocity of Flowing Water (V_fw) we can find Area of Section of Pipe given Head of Water using the formula - 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])). This formula also uses Gravitational acceleration on Earth constant(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=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)))
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 be negative?

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

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

Area of Section of Pipe given Head of Water 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 can be measured.

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Area of Section of Pipe given Head of Water Formula

​GoArea of Section of Pipe given Buttress Resistance Formula

​GoArea of Section of Pipe given Head of Water and Buttress Resistance Formula

Area of Section of Pipe given Head of Water Example

Area of Section of Pipe given Head of Water Solution

Area of Section of Pipe given Head of Water 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?

FAQs on Area of Section of Pipe given Head of Water

Variable Name

GoArea of Section of Pipe given Buttress Resistance Formula

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