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Head of Water given Buttress Resistance Formula

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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. Check FAQs

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

H - Head of the Liquid?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?

Head of Water given Buttress Resistance Example

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Here is how the Head of Water given Buttress Resistance equation looks like with Values.

Here is how the Head of Water given Buttress Resistance equation looks like with Units.

Here is how the Head of Water given Buttress Resistance equation looks like.

15.7529 = (\frac{(\frac{1500}{(2 \cdot 13) \cdot \sin (\frac{36}{2})} - (\frac{9.81 \cdot {5.67}^{2}}{9.8066}))}{9.81})

15.7529m = (\frac{(\frac{1500kN}{(2 \cdot 13m²) \cdot \sin (\frac{36°}{2})} - (\frac{9.81kN/m³ \cdot {5.67m/s}^{2}}{9.8066m/s²}))}{9.81kN/m³})

15.7529 = (\frac{(\frac{1500}{(2 \cdot 13) \cdot \sin (\frac{36}{2})} - (\frac{9.81 \cdot {5.67}^{2}}{9.8066}))}{9.81})

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Head of Water given Buttress Resistance Solution

Follow our step by step solution on how to calculate Head of Water given Buttress Resistance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

H = 15.752940596167m

LAST Step Rounding Answer

∴

H = 15.7529m

Head of Water given Buttress Resistance Formula Elements

Variables

Constants

Functions

Head of the Liquid

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.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head of the Liquid

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 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 Head of Water given Buttress Resistance?

Head of Water given Buttress Resistance evaluator 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 evaluate 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 evaluate Head of Water given Buttress Resistance using this online evaluator? To use this online evaluator for Head of Water given 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 Head of Water given Buttress Resistance

What is the formula to find Head of Water given Buttress Resistance?

The formula of Head of Water given Buttress Resistance is expressed as 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). Here is an example- 7.433127 = (((1500000/((2*13)*sin((0.62831853071784)/(2)))-((9810*5.67^2)/[g])))/9810).

How to calculate Head of Water given 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 Head of Water given Buttress Resistance using the formula - 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). This formula also uses Gravitational acceleration on Earth constant(s) and Sine (sin) function(s).

Can the Head of Water given Buttress Resistance be negative?

No, the Head of Water given Buttress Resistance, measured in Length cannot be negative.

Which unit is used to measure Head of Water given Buttress Resistance?

Head of Water given Buttress Resistance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head of Water given Buttress Resistance can be measured.

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Head of Water given Buttress Resistance Formula

Head of Water given Buttress Resistance Example

Head of Water given Buttress Resistance Solution

Head of Water given Buttress Resistance Formula Elements

Other formulas in Stresses at Bends category

How to Evaluate Head of Water given Buttress Resistance?

FAQs on Head of Water given Buttress Resistance

Variable Name