Head of Water given Buttress Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head of the 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 the Liquid - (Measured in Meter) - The Head of the 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: 1500 Kilonewton --> 1500000 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) --> (((1500000/((2*13)*sin((0.62831853071784)/(2)))-((9810*5.67^2)/[g])))/9810)
Evaluating ... ...
H = 15.752940596167
STEP 3: Convert Result to Output's Unit
15.752940596167 Meter --> No Conversion Required
FINAL ANSWER
15.752940596167 15.75294 Meter <-- Head of the Liquid
(Calculation completed in 00.004 seconds)

Credits

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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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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
​ 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])+Water Pressure in KN per Square Meter)))

Head of Water given Buttress Resistance Formula

​LaTeX ​Go
Head of the 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 the 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 the Liquid, The Head of Water given Buttress Resistance formula is defined as the value of the height of water column exerting pressure on its base. Head of the 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 = (((1500000/((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 formula 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 the 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 formula is defined as the value of the height of water column exerting pressure on its base is calculated using Head of the 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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