Angle of Bend 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%
✖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%
✖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 given Head of Water and Buttress Resistance [θ_b]

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Formula

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Angle of Bend given Head of Water and Buttress Resistance

Formula

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

Example

`"0.002233°"=2*asin("844.25kN"/((2*"13m²")*((("9.81kN/m³"*("1290.6m/s")^2)/"[g]")+("9.81kN/m³"*"0.46m"))))`

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Angle of Bend given Head of Water and Buttress Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
θ_b = 2*asin(P_BR/((2*A_cs)*(((γ_water*(V_w)^2)/[g])+(γ_water*H_liquid))))
This formula uses 1 Constants, 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Angle of Bend in Environmental Engi. - (Measured in Radian) - Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.
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.
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.

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
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
Head of Liquid in Pipe: 0.46 Meter --> 0.46 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_b = 2*asin(P_BR/((2*A_cs)*(((γ_water*(V_w)^2)/[g])+(γ_water*H_liquid)))) --> 2*asin(844250/((2*13)*(((9810*(1290.6)^2)/[g])+(9810*0.46))))

Evaluating ... ...

θ_b = 3.89757864844707E-05

STEP 3: Convert Result to Output's Unit

3.89757864844707E-05 Radian -->0.00223314806876363 Degree (Check conversion here)

FINAL ANSWER

0.00223314806876363 ≈ 0.002233 Degree <-- Angle of Bend in Environmental Engi.

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Conveyance of Water » Stresses in Pipes » Stresses at Bends » Angle of Bend given Head of Water and Buttress Resistance

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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])

Angle of Bend given Head of Water and Buttress Resistance Formula

What is Stress?

Stress is the force acting on the unit area of a material. The effect of stress on a body is named as strain. Stress can deform the body. How much force material experience can be measured using stress units.

How to Calculate Angle of Bend given Head of Water and Buttress Resistance?

Angle of Bend given Head of Water and Buttress Resistance calculator uses 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)))) to calculate the Angle of Bend in Environmental Engi., The Angle of Bend given Head of Water and Buttress Resistance is defined as the value of angle of bend of the pipe or change in direction of water in the pipe. Angle of Bend in Environmental Engi. is denoted by θ_b symbol.

How to calculate Angle of Bend given Head of Water and Buttress Resistance using this online calculator? To use this online calculator for Angle of Bend given Head of Water and Buttress Resistance, enter Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Unit Weight Of Water in KN per Cubic Meter (γ_water), Flow Velocity of Fluid (V_w) & Head of Liquid in Pipe (H_liquid) and hit the calculate button. Here is how the Angle of Bend given Head of Water and Buttress Resistance calculation can be explained with given input values -> 2073.509 = 2*asin(844250/((2*13)*(((9810*(1290.6)^2)/[g])+(9810*0.46)))).

FAQ

What is Angle of Bend given Head of Water and Buttress Resistance?

The Angle of Bend given Head of Water and Buttress Resistance is defined as the value of angle of bend of the pipe or change in direction of water in the pipe and is represented as θ_b = 2*asin(P_BR/((2*A_cs)*(((γ_water*(V_w)^2)/[g])+(γ_water*H_liquid)))) or 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 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, 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.

How to calculate Angle of Bend given Head of Water and Buttress Resistance?

The Angle of Bend given Head of Water and Buttress Resistance is defined as the value of angle of bend of the pipe or change in direction of water in the pipe is calculated using 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)))). To calculate Angle of Bend given Head of Water and Buttress Resistance, you need Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Unit Weight Of Water in KN per Cubic Meter (γ_water), Flow Velocity of Fluid (V_w) & Head of Liquid in Pipe (H_liquid). With our tool, you need to enter the respective value for Buttress Resistance in Pipe, Cross-Sectional Area, Unit Weight Of Water in KN per Cubic Meter, Flow Velocity of Fluid & Head of Liquid in Pipe 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 Angle of Bend in Environmental Engi.?

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

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)))

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