Area of Section of Pipe given Head of Water Calculator

✖Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN.ⓘ Total Tension in Pipe in KN [T_tkn]			+10% -10%
✖Unit Weight Of Water in KN per Cubic Meter is the weight of water per unit volume of water.ⓘ Unit Weight Of Water in KN per Cubic Meter [γ_water]			+10% -10%
✖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.ⓘ Head of Liquid in Pipe [H_liquid]			+10% -10%
✖Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.ⓘ Velocity of Flowing Water [V_fw]			+10% -10%

✖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.ⓘ Area of Section of Pipe given Head of Water [A_cs]

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Formula

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Area of Section of Pipe given Head of Water

Formula

`"A"_{"cs"} = "T"_{"tkn"}/(("γ"_{"water"}*"H"_{"liquid"})+(("γ"_{"water"}*("V"_{"fw"})^2)/"[g]"))`

Example

`"13.16246m²"="482.7kN"/(("9.81kN/m³"*"0.46m")+(("9.81kN/m³"*("5.67m/s")^2)/"[g]"))`

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Area of Section of Pipe given Head of Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

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]))
A_cs = T_tkn/((γ_water*H_liquid)+((γ_water*(V_fw)^2)/[g]))
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Cross-Sectional Area - (Measured in Square Meter) - 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.
Total Tension in Pipe in KN - (Measured in Newton) - Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN.
Unit Weight Of Water in KN per Cubic Meter - (Measured in Newton per Cubic Meter) - Unit Weight Of Water in KN per Cubic Meter is the weight of water per unit volume of water.
Head of Liquid in Pipe - (Measured in Meter) - 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.
Velocity of Flowing Water - (Measured in Meter per Second) - Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.

STEP 1: Convert Input(s) to Base Unit

Total Tension in Pipe in KN: 482.7 Kilonewton --> 482700 Newton (Check conversion here)
Unit Weight Of Water in KN per Cubic Meter: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Head of Liquid in Pipe: 0.46 Meter --> 0.46 Meter No Conversion Required
Velocity of Flowing Water: 5.67 Meter per Second --> 5.67 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = T_tkn/((γ_water*H_liquid)+((γ_water*(V_fw)^2)/[g])) --> 482700/((9810*0.46)+((9810*(5.67)^2)/[g]))

Evaluating ... ...

A_cs = 13.1624578087652

STEP 3: Convert Result to Output's Unit

13.1624578087652 Square Meter --> No Conversion Required

FINAL ANSWER

13.1624578087652 ≈ 13.16246 Square Meter <-- Cross-Sectional Area

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Conveyance of Water » Stresses in Pipes » Stresses at Bends » Area of Section of Pipe given Head of Water

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 15 Stresses at Bends Calculators

Buttress Resistance using Head of Water

Go Buttress Resistance in Pipe = ((2*Cross-Sectional Area)*(((Unit Weight Of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g])+(Unit Weight Of Water in KN per Cubic Meter*Head of Liquid in Pipe))*sin((Angle of Bend in Environmental Engi.)/(2)))

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

Go 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)))

Velocity of Flow of Water with known Head of Water and Buttress Resistance

Go Velocity of Flowing Water = (([g]/Unit Weight Of Water in KN per Cubic Meter)*((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2)))-Head of Liquid in Pipe*Unit Weight Of Water in KN per Cubic Meter)))

Angle of Bend given Head of Water and Buttress Resistance

Go 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))))

Head of Water given Buttress Resistance

Go Head of Liquid = (((Buttress Resistance in Pipe/((2*Cross-Sectional Area)*sin((Angle of Bend in Environmental Engi.)/(2)))-((Unit Weight Of Water in KN per Cubic Meter*Velocity of Flowing Water^2)/[g])))/Unit Weight Of Water in KN per Cubic Meter)

Velocity of Flow of Water given Buttress Resistance

Go Velocity of Flowing Water = sqrt((Buttress Resistance in Pipe/((2*Cross-Sectional Area)*sin((Angle of Bend in Environmental Engi.)/(2)))-Internal Water Pressure in Pipes)*([g]/Unit Weight Of Water in KN per Cubic Meter))

Head of Water given Total Tension in Pipe

Go Head of Liquid in Pipe = (Total Tension in Pipe in KN-((Unit Weight Of Water in KN per Cubic Meter*Cross-Sectional Area*(Velocity of Flowing Water)^2)/[g]))/(Unit Weight Of Water in KN per Cubic Meter*Cross-Sectional Area)

Internal Water Pressure using Buttress Resistance

Go Internal Water Pressure in Pipes = ((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2))))-((Unit Weight Of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g]))

Buttress Resistance using Angle of Bend

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

Angle of Bend given Buttress Resistance

Area of Section of Pipe given Buttress Resistance

Go 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)))

Velocity of Flow of Water given Total Tension in Pipe

Go Velocity of Flowing Water = sqrt((Total Tension in Pipe in KN-(Water Pressure in KN per Square Meter*Cross-Sectional Area))*([g]/(Unit Weight Of Water in KN per Cubic Meter*Cross-Sectional Area)))

Area of Section of Pipe given Head of Water

Go 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]))

Area of Section of Pipe given Total Tension in Pipe

Go 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]))

Internal Water Pressure using Total Tension in Pipe

Go Internal Water Pressure in Pipes = (Total Tension in Pipe in KN/Cross-Sectional Area)-((Unit Weight Of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g])

Area of Section of Pipe given Head of Water Formula

What is Cross-Sectional Area?

The cross-sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point.

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

Area of Section of Pipe given Head of Water calculator 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 calculate the Cross-Sectional Area, The Area of Section of Pipe given Head of Water is defined as the value of area of section of pipe when we have prior information of other parameters used. Cross-Sectional Area is denoted by A_cs symbol.

How to calculate Area of Section of Pipe given Head of Water using this online calculator? To use this online calculator 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. Here is how the Area of Section of Pipe given Head of Water calculation can be explained with given input values -> 13.16246 = 482700/((9810*0.46)+((9810*(5.67)^2)/[g])).

FAQ

What is Area of Section of Pipe given Head of Water?

The Area of Section of Pipe given Head of Water is defined as the value of area of section of pipe when we have prior information of other parameters used and is represented as A_cs = T_tkn/((γ_water*H_liquid)+((γ_water*(V_fw)^2)/[g])) or 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])). Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN, Unit Weight Of Water in KN per Cubic Meter is the weight of water per unit volume of water, 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 & Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.

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

The Area of Section of Pipe given Head of Water is defined as the value of area of section of pipe when we have prior information of other parameters used is calculated using 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 calculate Area of Section of Pipe given Head of Water, you need 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). With our tool, you need to enter the respective value for Total Tension in Pipe in KN, Unit Weight Of Water in KN per Cubic Meter, Head of Liquid in Pipe & Velocity of Flowing Water and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Cross-Sectional Area?

In this formula, Cross-Sectional Area uses Total Tension in Pipe in KN, Unit Weight Of Water in KN per Cubic Meter, Head of Liquid in Pipe & Velocity of Flowing Water. We can use 3 other way(s) to calculate the same, which is/are as follows -

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]))

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