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Internal Water Pressure using Total Tension in Pipe Formula

GoInternal Water Pressure using Buttress Resistance Formula

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

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

p_i - Internal Water Pressure in Pipes?T_mn - Total Tension of Pipe in MN?A_cs - Cross-Sectional Area?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 Total Tension in Pipe Example

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Here is how the Internal Water Pressure using Total Tension in Pipe equation looks like with Values.

Here is how the Internal Water Pressure using Total Tension in Pipe equation looks like with Units.

Here is how the Internal Water Pressure using Total Tension in Pipe equation looks like.

72.4555 = (\frac{1.36}{13}) - (\frac{9.81 \cdot ({5.67}^{2})}{9.8066})

72.4555kN/m² = (\frac{1.36MN}{13m²}) - (\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²})

72.4555 = (\frac{1.36}{13}) - (\frac{9.81 \cdot ({5.67}^{2})}{9.8066})

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Internal Water Pressure using Total Tension in Pipe Solution

Follow our step by step solution on how to calculate Internal Water Pressure using Total Tension in Pipe?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p i = (\frac{1.36MN}{13m²}) - (\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{[g]})

Next Step Substitute values of Constants

∴

p i = (\frac{1.36MN}{13m²}) - (\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²})

Next Step Convert Units

∴

p i = (\frac{1.4E+6N}{13m²}) - (\frac{9810N/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²})

Next Step Prepare to Evaluate

∴

p i = (\frac{1.4E+6}{13}) - (\frac{9810 \cdot ({5.67}^{2})}{9.8066})

Next Step Evaluate

∴

p i = 72455.5023926072Pa

Next Step Convert to Output's Unit

∴

p i = 72.4555023926072kN/m²

LAST Step Rounding Answer

∴

p i = 72.4555kN/m²

Internal Water Pressure using Total Tension in Pipe Formula Elements

Variables

Constants

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

Total Tension of Pipe in MN

Total Tension of Pipe in MN is defined as the force that tries to elongate a pipe.

Symbol: T_mn

Measurement: ForceUnit: MN

Note: Value can be positive or negative.

Formulas to find Total Tension of Pipe in MN

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

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

Other Formulas to find Internal Water Pressure in Pipes

Go Internal Water Pressure using Buttress Resistance

p i = ((\frac{P BR}{2 \cdot A cs \cdot \sin (\frac{θ b}{2})}) - (\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 Total Tension in Pipe?

Internal Water Pressure using Total Tension in Pipe evaluator uses 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]) to evaluate the Internal Water Pressure in Pipes, The Internal Water Pressure using Total Tension in Pipe is defined as the value of internal water pressure within a structure, such as a dam or a retaining wall, by considering the total tension in pipe. Internal Water Pressure in Pipes is denoted by p_i symbol.

How to evaluate Internal Water Pressure using Total Tension in Pipe using this online evaluator? To use this online evaluator for Internal Water Pressure using Total Tension in Pipe, enter Total Tension of Pipe in MN (T_mn), Cross-Sectional Area (A_cs), 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 Total Tension in Pipe

What is the formula to find Internal Water Pressure using Total Tension in Pipe?

The formula of Internal Water Pressure using Total Tension in Pipe is expressed as 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]). Here is an example- 0.072456 = (1360000/13)-((9810*(5.67^2))/[g]).

How to calculate Internal Water Pressure using Total Tension in Pipe?

With Total Tension of Pipe in MN (T_mn), Cross-Sectional Area (A_cs), Unit Weight of Water in KN per Cubic Meter (γ_water) & Velocity of Flowing Water (V_fw) we can find Internal Water Pressure using Total Tension in Pipe using the formula - 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]). This formula also uses Gravitational acceleration on Earth constant(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=((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]))

Can the Internal Water Pressure using Total Tension in Pipe be negative?

No, the Internal Water Pressure using Total Tension in Pipe, measured in Pressure cannot be negative.

Which unit is used to measure Internal Water Pressure using Total Tension in Pipe?

Internal Water Pressure using Total Tension in Pipe 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 Total Tension in Pipe can be measured.

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Internal Water Pressure using Total Tension in Pipe Formula

​GoInternal Water Pressure using Buttress Resistance Formula

Internal Water Pressure using Total Tension in Pipe Example

Internal Water Pressure using Total Tension in Pipe Solution

Internal Water Pressure using Total Tension in Pipe 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 Total Tension in Pipe?

FAQs on Internal Water Pressure using Total Tension in Pipe

Variable Name

GoInternal Water Pressure using Buttress Resistance Formula