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Internal Water Pressure using Buttress Resistance Formula

GoInternal Water Pressure using Total Tension in Pipe Formula

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Internal Water Pressure in Pipes is the force that pushes water through pipes. Check FAQs

p i = ((\frac{P BR}{2 \cdot A cs \cdot \sin (\frac{θ b}{2})}) - (\frac{γ water \cdot ({V fw}^{2})}{[g]}))

p_i - Internal Water Pressure in Pipes?P_BR - Buttress Resistance in Pipe?A_cs - Cross-Sectional Area?θ_b - Angle of Bend in Environmental Engi.?γ_water - Unit Weight of Water in KN per Cubic Meter?V_fw - Velocity of Flowing Water?[g] - Gravitational acceleration on Earth?

Internal Water Pressure using Buttress Resistance Example

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Here is how the Internal Water Pressure using Buttress Resistance equation looks like with Values.

Here is how the Internal Water Pressure using Buttress Resistance equation looks like with Units.

Here is how the Internal Water Pressure using Buttress Resistance equation looks like.

154.5363 = ((\frac{1500}{2 \cdot 13 \cdot \sin (\frac{36}{2})}) - (\frac{9.81 \cdot ({5.67}^{2})}{9.8066}))

154.5363kN/m² = ((\frac{1500kN}{2 \cdot 13m² \cdot \sin (\frac{36°}{2})}) - (\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²}))

154.5363 = ((\frac{1500}{2 \cdot 13 \cdot \sin (\frac{36}{2})}) - (\frac{9.81 \cdot ({5.67}^{2})}{9.8066}))

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Internal Water Pressure using Buttress Resistance Solution

Follow our step by step solution on how to calculate Internal Water Pressure using Buttress Resistance?

FIRST Step Consider the formula

p i = ((\frac{P BR}{2 \cdot A cs \cdot \sin (\frac{θ b}{2})}) - (\frac{γ water \cdot ({V fw}^{2})}{[g]}))

Next Step Substitute values of Variables

∴

p i = ((\frac{1500kN}{2 \cdot 13m² \cdot \sin (\frac{36°}{2})}) - (\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{[g]}))

Next Step Substitute values of Constants

∴

p i = ((\frac{1500kN}{2 \cdot 13m² \cdot \sin (\frac{36°}{2})}) - (\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²}))

Next Step Convert Units

∴

p i = ((\frac{1.5E+6N}{2 \cdot 13m² \cdot \sin (\frac{0.6283rad}{2})}) - (\frac{9810N/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²}))

Next Step Prepare to Evaluate

∴

p i = ((\frac{1.5E+6}{2 \cdot 13 \cdot \sin (\frac{0.6283}{2})}) - (\frac{9810 \cdot ({5.67}^{2})}{9.8066}))

Next Step Evaluate

∴

p i = 154536.347248398Pa

Next Step Convert to Output's Unit

∴

p i = 154.536347248398kN/m²

LAST Step Rounding Answer

∴

p i = 154.5363kN/m²

Internal Water Pressure using Buttress Resistance Formula Elements

Variables

Constants

Functions

Internal Water Pressure in Pipes

Internal Water Pressure in Pipes is the force that pushes water through pipes.

Symbol: p_i

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Internal Water Pressure in Pipes

Buttress Resistance in Pipe

Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.

Symbol: P_BR

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Buttress Resistance in Pipe

Cross-Sectional Area

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.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area

Angle of Bend in Environmental Engi.

Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.

Symbol: θ_b

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Bend in Environmental Engi.

Unit Weight of Water in KN per Cubic Meter

Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water.

Symbol: γ_water

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water in KN per Cubic Meter

Velocity of Flowing Water

Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.

Symbol: V_fw

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Flowing Water

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sin(Angle)

Other Formulas to find Internal Water Pressure in Pipes

Go Internal Water Pressure using Total Tension in Pipe

p i = (\frac{T mn}{A cs}) - (\frac{γ water \cdot ({V fw}^{2})}{[g]})

Other formulas in Stresses at Bends category

Go Buttress Resistance using Head of Water

P BR = ((2 \cdot A cs) \cdot ((\frac{γ water \cdot ({V fw}^{2})}{[g]}) + (γ water \cdot H)) \cdot \sin (\frac{θ b}{2}))

Go Angle of Bend given Buttress Resistance

θ b = 2 \cdot a \sin (\frac{P BR}{(2 \cdot A cs) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + P wt)})

Go Angle of Bend given Head of Water and Buttress Resistance

θ b = 2 \cdot a \sin (\frac{P BR}{(2 \cdot A cs) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + (γ water \cdot H liquid))})

Go Buttress Resistance using Angle of Bend

P BR = (2 \cdot A cs) \cdot (((γ water \cdot (\frac{{V fw}^{2}}{[g]})) + p i) \cdot \sin (\frac{θ b}{2}))

How to Evaluate Internal Water Pressure using Buttress Resistance?

Internal Water Pressure using Buttress Resistance evaluator uses 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])) to evaluate the Internal Water Pressure in Pipes, The Internal Water Pressure using Buttress Resistance formula is defined as the value of internal water pressure within a structure, such as a dam or a retaining wall, by considering the buttress resistance. Internal Water Pressure in Pipes is denoted by p_i symbol.

How to evaluate Internal Water Pressure using Buttress Resistance using this online evaluator? To use this online evaluator for Internal Water Pressure using Buttress Resistance, enter Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Angle of Bend in Environmental Engi. (θ_b), Unit Weight of Water in KN per Cubic Meter (γ_water) & Velocity of Flowing Water (V_fw) and hit the calculate button.

FAQs on Internal Water Pressure using Buttress Resistance

What is the formula to find Internal Water Pressure using Buttress Resistance?

The formula of Internal Water Pressure using Buttress Resistance is expressed as 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])). Here is an example- 0.072919 = ((1500000/(2*13*sin((0.62831853071784)/(2))))-((9810*(5.67^2))/[g])).

How to calculate Internal Water Pressure using Buttress Resistance?

With Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Angle of Bend in Environmental Engi. (θ_b), Unit Weight of Water in KN per Cubic Meter (γ_water) & Velocity of Flowing Water (V_fw) we can find Internal Water Pressure using Buttress Resistance using the formula - 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])). This formula also uses Gravitational acceleration on Earth constant(s) and Sine function(s).

What are the other ways to Calculate Internal Water Pressure in Pipes?

Here are the different ways to Calculate Internal Water Pressure in Pipes-

Internal Water Pressure in Pipes=(Total Tension of Pipe in MN/Cross-Sectional Area)-((Unit Weight of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g])

Can the Internal Water Pressure using Buttress Resistance be negative?

No, the Internal Water Pressure using Buttress Resistance, measured in Pressure cannot be negative.

Which unit is used to measure Internal Water Pressure using Buttress Resistance?

Internal Water Pressure using Buttress Resistance is usually measured using the Kilonewton per Square Meter[kN/m²] for Pressure. Pascal[kN/m²], Kilopascal[kN/m²], Bar[kN/m²] are the few other units in which Internal Water Pressure using Buttress Resistance can be measured.

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Internal Water Pressure using Buttress Resistance Formula

​GoInternal Water Pressure using Total Tension in Pipe Formula

Internal Water Pressure using Buttress Resistance Example

Internal Water Pressure using Buttress Resistance Solution

Internal Water Pressure using Buttress Resistance Formula Elements

Other Formulas to find Internal Water Pressure in Pipes

Other formulas in Stresses at Bends category

How to Evaluate Internal Water Pressure using Buttress Resistance?

FAQs on Internal Water Pressure using Buttress Resistance

Variable Name

GoInternal Water Pressure using Total Tension in Pipe Formula