Area of Section of Pipe given 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])+Internal Water Pressure in Pipes)*sin((Angle of Bend in Environmental Engi.)/(2)))
Acs = PBR/((2)*(((γwater*(Vw)^2)/[g])+pi)*sin((θb)/(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.
Internal Water Pressure in Pipes - (Measured in Pascal) - Internal Water Pressure in Pipes is the force that pushes water through pipes.
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: 844.25 Kilonewton --> 844250 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: 1290.6 Meter per Second --> 1290.6 Meter per Second No Conversion Required
Internal Water Pressure in Pipes: 72.01 Kilonewton per Square Meter --> 72010 Pascal (Check conversion here)
Angle of Bend in Environmental Engi.: 36 Degree --> 0.62831853071784 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Acs = PBR/((2)*(((γwater*(Vw)^2)/[g])+pi)*sin((θb)/(2))) --> 844250/((2)*(((9810*(1290.6)^2)/[g])+72010)*sin((0.62831853071784)/(2)))
Evaluating ... ...
Acs = 0.000819800704947355
STEP 3: Convert Result to Output's Unit
0.000819800704947355 Square Meter --> No Conversion Required
FINAL ANSWER
0.000819800704947355 0.00082 Square Meter <-- Cross-Sectional Area
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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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])

Area of Section of Pipe given Buttress Resistance Formula

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)))
Acs = PBR/((2)*(((γwater*(Vw)^2)/[g])+pi)*sin((θb)/(2)))

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 Buttress Resistance?

Area of Section of Pipe given 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])+Internal Water Pressure in Pipes)*sin((Angle of Bend in Environmental Engi.)/(2))) to calculate the Cross-Sectional Area, The Area of Section of Pipe given Buttress Resistance is defined as the value of when we have prior information of other parameters used. Cross-Sectional Area is denoted by Acs symbol.

How to calculate Area of Section of Pipe given Buttress Resistance using this online calculator? To use this online calculator for Area of Section of Pipe given Buttress Resistance, enter Buttress Resistance in Pipe (PBR), Unit Weight Of Water in KN per Cubic Meter water), Flow Velocity of Fluid (Vw), Internal Water Pressure in Pipes (pi) & Angle of Bend in Environmental Engi. b) and hit the calculate button. Here is how the Area of Section of Pipe given Buttress Resistance calculation can be explained with given input values -> 7.939968 = 844250/((2)*(((9810*(1290.6)^2)/[g])+72010)*sin((0.62831853071784)/(2))).

FAQ

What is Area of Section of Pipe given Buttress Resistance?
The Area of Section of Pipe given Buttress Resistance is defined as the value of when we have prior information of other parameters used and is represented as Acs = PBR/((2)*(((γwater*(Vw)^2)/[g])+pi)*sin((θb)/(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])+Internal Water Pressure in Pipes)*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, Internal Water Pressure in Pipes is the force that pushes water through pipes & Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.
How to calculate Area of Section of Pipe given Buttress Resistance?
The Area of Section of Pipe given Buttress Resistance is defined as the value of when we have prior information of other parameters used 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])+Internal Water Pressure in Pipes)*sin((Angle of Bend in Environmental Engi.)/(2))). To calculate Area of Section of Pipe given Buttress Resistance, you need Buttress Resistance in Pipe (PBR), Unit Weight Of Water in KN per Cubic Meter water), Flow Velocity of Fluid (Vw), Internal Water Pressure in Pipes (pi) & Angle of Bend in Environmental Engi. 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, Internal Water Pressure in Pipes & 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, Internal Water Pressure in Pipes & 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])+(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/((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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