Buttress Resistance using Head of Water Calculator

✖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.ⓘ Cross-Sectional Area [A_cs]			+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%
✖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%
✖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%

✖Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.ⓘ Buttress Resistance using Head of Water [P_BR]

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Formula

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Buttress Resistance using Head of Water

Formula

`"P"_{"BR"} = ((2*"A"_{"cs"})*((("γ"_{"water"}*("V"_{"fw"}^2))/"[g]")+("γ"_{"water"}*"H"_{"liquid"}))*sin(("θ"_{"b"})/(2)))`

Example

`"294.6429kN"=((2*"13m²")*((("9.81kN/m³"*(("5.67m/s")^2))/"[g]")+("9.81kN/m³"*"0.46m"))*sin(("36.0°")/(2)))`

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Buttress Resistance using Head of Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
P_BR = ((2*A_cs)*(((γ_water*(V_fw^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

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.
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.
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.
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.
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

Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Unit Weight Of Water in KN per Cubic Meter: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Velocity of Flowing Water: 5.67 Meter per Second --> 5.67 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

P_BR = ((2*A_cs)*(((γ_water*(V_fw^2))/[g])+(γ_water*H_liquid))*sin((θ_b)/(2))) --> ((2*13)*(((9810*(5.67^2))/[g])+(9810*0.46))*sin((0.62831853071784)/(2)))

Evaluating ... ...

P_BR = 294642.926051482

STEP 3: Convert Result to Output's Unit

294642.926051482 Newton -->294.642926051482 Kilonewton (Check conversion here)

FINAL ANSWER

294.642926051482 ≈ 294.6429 Kilonewton <-- Buttress Resistance in Pipe

(Calculation completed in 00.004 seconds)

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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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< 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])

Buttress Resistance using Head of Water Formula

Why is Buttress Resistance necessary?

Buttress resistance provides the external resisting force that must be exerted to overcome the outward thrust exerted on the pipe that otherwise would pull apart the pipe.

How to Calculate Buttress Resistance using Head of Water?

Buttress Resistance using Head of Water calculator uses 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))) to calculate the Buttress Resistance in Pipe, The Buttress Resistance using Head of Water is defined as the external resisting force that must be exerted to overcome the outward thrust exerted on the pipe. formula variables changed. Buttress Resistance in Pipe is denoted by P_BR symbol.

How to calculate Buttress Resistance using Head of Water using this online calculator? To use this online calculator for Buttress Resistance using Head of Water, enter Cross-Sectional Area (A_cs), Unit Weight Of Water in KN per Cubic Meter (γ_water), Velocity of Flowing Water (V_fw), Head of Liquid in Pipe (H_liquid) & Angle of Bend in Environmental Engi. (θ_b) and hit the calculate button. Here is how the Buttress Resistance using Head of Water calculation can be explained with given input values -> 0.294643 = ((2*13)*(((9810*(5.67^2))/[g])+(9810*0.46))*sin((0.62831853071784)/(2))).

FAQ

What is Buttress Resistance using Head of Water?

The Buttress Resistance using Head of Water is defined as the external resisting force that must be exerted to overcome the outward thrust exerted on the pipe. formula variables changed and is represented as P_BR = ((2*A_cs)*(((γ_water*(V_fw^2))/[g])+(γ_water*H_liquid))*sin((θ_b)/(2))) or 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))). 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, Unit Weight Of Water in KN per Cubic Meter is the weight of water per unit volume of water, Velocity of Flowing Water 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 Buttress Resistance using Head of Water?

The Buttress Resistance using Head of Water is defined as the external resisting force that must be exerted to overcome the outward thrust exerted on the pipe. formula variables changed is calculated using 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))). To calculate Buttress Resistance using Head of Water, you need Cross-Sectional Area (A_cs), Unit Weight Of Water in KN per Cubic Meter (γ_water), Velocity of Flowing Water (V_fw), 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 Cross-Sectional Area, Unit Weight Of Water in KN per Cubic Meter, Velocity of Flowing Water, 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 Buttress Resistance in Pipe?

In this formula, Buttress Resistance in Pipe uses Cross-Sectional Area, Unit Weight Of Water in KN per Cubic Meter, Velocity of Flowing Water, Head of Liquid in Pipe & Angle of Bend in Environmental Engi. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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