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

✖Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.ⓘ Buttress Resistance in Pipe [P_BR]			+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%
✖Flow Velocity of Fluid gives the velocity of an element of fluid at a position and time.ⓘ Flow Velocity of Fluid [V_w]			+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%
✖Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.ⓘ Angle of Bend in Environmental Engi. [θ_b]			+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 and Buttress Resistance [A_cs]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
A_cs = P_BR/((2)*(((γ_water*(V_w)^2)/[g])+(γ_water*H_liquid))*sin((θ_b)/(2)))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

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

Functions Used

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., sin(Angle)

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.
Buttress Resistance in Pipe - (Measured in Newton) - Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.
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.
Flow Velocity of Fluid - (Measured in Meter per Second) - Flow Velocity of Fluid gives the velocity of an element of fluid at a position and time.
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.
Angle of Bend in Environmental Engi. - (Measured in Radian) - Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.

STEP 1: Convert Input(s) to Base Unit

Buttress Resistance in Pipe: 1500 Kilonewton --> 1500000 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)
Flow Velocity of Fluid: 13.47 Meter per Second --> 13.47 Meter per Second No Conversion Required
Head of Liquid in Pipe: 0.46 Meter --> 0.46 Meter No Conversion Required
Angle of Bend in Environmental Engi.: 36 Degree --> 0.62831853071784 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = P_BR/((2)*(((γ_water*(V_w)^2)/[g])+(γ_water*H_liquid))*sin((θ_b)/(2))) --> 1500000/((2)*(((9810*(13.47)^2)/[g])+(9810*0.46))*sin((0.62831853071784)/(2)))

Evaluating ... ...

A_cs = 13.0475752270306

STEP 3: Convert Result to Output's Unit

13.0475752270306 Square Meter --> No Conversion Required

FINAL ANSWER

13.0475752270306 ≈ 13.04758 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 and Buttress Resistance

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stresses at Bends Calculators

Buttress Resistance using Head of Water

LaTeX 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 the Liquid))*sin((Angle of Bend in Environmental Engi.)/(2)))

Angle of Bend given Head of Water and Buttress Resistance

LaTeX 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))))

Buttress Resistance using Angle of Bend

LaTeX 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 Head of Water and Buttress Resistance Formula

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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 and Buttress Resistance?

Area of Section of Pipe given Head of Water and Buttress Resistance calculator 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 calculate 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 calculate Area of Section of Pipe given Head of Water and Buttress Resistance using this online calculator? To use this online calculator 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. Here is how the Area of Section of Pipe given Head of Water and Buttress Resistance calculation can be explained with given input values -> 7.34361 = 1500000/((2)*(((9810*(13.47)^2)/[g])+(9810*0.46))*sin((0.62831853071784)/(2))).

FAQ

What is Area of Section of Pipe given Head of Water and Buttress Resistance?

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 and is represented as A_cs = P_BR/((2)*(((γ_water*(V_w)^2)/[g])+(γ_water*H_liquid))*sin((θ_b)/(2))) or 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))). Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe, Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water, Flow Velocity of Fluid gives the velocity of an element of fluid at a position and time, 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 & Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.

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

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 is calculated using 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 calculate Area of Section of Pipe given Head of Water and Buttress Resistance, you need 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). With our tool, you need to enter the respective value for Buttress Resistance in Pipe, Unit Weight of Water in KN per Cubic Meter, Flow Velocity of Fluid, Head of Liquid in Pipe & Angle of Bend in Environmental Engi 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 Buttress Resistance in Pipe, Unit Weight of Water in KN per Cubic Meter, Flow Velocity of Fluid, Head of Liquid in Pipe & Angle of Bend in Environmental Engi. 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 = 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]))

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