Head of Water given Buttress Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
H = (((PBR/((2*Acs)*sin((θb)/(2)))-((γwater*Vfw^2)/[g])))/γwater)
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
Head of Liquid - (Measured in Meter) - The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.
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.
Angle of Bend in Environmental Engi. - (Measured in Radian) - Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.
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.
STEP 1: Convert Input(s) to Base Unit
Buttress Resistance in Pipe: 844.25 Kilonewton --> 844250 Newton (Check conversion here)
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Angle of Bend in Environmental Engi.: 36 Degree --> 0.62831853071784 Radian (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)
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
H = (((PBR/((2*Acs)*sin((θb)/(2)))-((γwater*Vfw^2)/[g])))/γwater) --> (((844250/((2*13)*sin((0.62831853071784)/(2)))-((9810*5.67^2)/[g])))/9810)
Evaluating ... ...
H = 7.43312731205396
STEP 3: Convert Result to Output's Unit
7.43312731205396 Meter --> No Conversion Required
FINAL ANSWER
7.43312731205396 7.433127 Meter <-- Head of Liquid
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
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
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])+Water Pressure in KN per Square Meter)))
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])

Head of Water given Buttress Resistance Formula

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)
H = (((PBR/((2*Acs)*sin((θb)/(2)))-((γwater*Vfw^2)/[g])))/γwater)

What is Water Pressure?

Pressure is the force that pushes water through pipes. Water pressure determines the flow of water from the tap. The amount of pressure at your tap can depend on how high the service reservoir or water tower is above your home, or on how much water other customers are using.

How to Calculate Head of Water given Buttress Resistance?

Head of Water given Buttress Resistance calculator uses 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) to calculate the Head of Liquid, The Head of Water given Buttress Resistance is defined as the value of the height of water column exerting pressure on its base. Head of Liquid is denoted by H symbol.

How to calculate Head of Water given Buttress Resistance using this online calculator? To use this online calculator for Head of Water given Buttress Resistance, enter Buttress Resistance in Pipe (PBR), Cross-Sectional Area (Acs), Angle of Bend in Environmental Engi. b), Unit Weight Of Water in KN per Cubic Meter water) & Velocity of Flowing Water (Vfw) and hit the calculate button. Here is how the Head of Water given Buttress Resistance calculation can be explained with given input values -> 7.433127 = (((844250/((2*13)*sin((0.62831853071784)/(2)))-((9810*5.67^2)/[g])))/9810).

FAQ

What is Head of Water given Buttress Resistance?
The Head of Water given Buttress Resistance is defined as the value of the height of water column exerting pressure on its base and is represented as H = (((PBR/((2*Acs)*sin((θb)/(2)))-((γwater*Vfw^2)/[g])))/γwater) or 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). Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe, 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, Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends, 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.
How to calculate Head of Water given Buttress Resistance?
The Head of Water given Buttress Resistance is defined as the value of the height of water column exerting pressure on its base is calculated using 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). To calculate Head of Water given Buttress Resistance, you need Buttress Resistance in Pipe (PBR), Cross-Sectional Area (Acs), Angle of Bend in Environmental Engi. b), Unit Weight Of Water in KN per Cubic Meter water) & Velocity of Flowing Water (Vfw). With our tool, you need to enter the respective value for Buttress Resistance in Pipe, Cross-Sectional Area, Angle of Bend in Environmental Engi, Unit Weight Of Water in KN per Cubic Meter & 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.
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