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Buttress Resistance using Head of Water Formula

GoButtress Resistance using Angle of Bend Formula

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

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}))

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

Buttress Resistance using Head of Water Example

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

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

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

1440.6548 = ((2 \cdot 13) \cdot ((\frac{9.81 \cdot ({5.67}^{2})}{9.8066}) + (9.81 \cdot 15)) \cdot \sin (\frac{36}{2}))

1440.6548kN = ((2 \cdot 13m²) \cdot ((\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²}) + (9.81kN/m³ \cdot 15m)) \cdot \sin (\frac{36°}{2}))

1440.6548 = ((2 \cdot 13) \cdot ((\frac{9.81 \cdot ({5.67}^{2})}{9.8066}) + (9.81 \cdot 15)) \cdot \sin (\frac{36}{2}))

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Buttress Resistance using Head of Water Solution

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

FIRST Step Consider the formula

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}))

Next Step Substitute values of Variables

∴

P BR = ((2 \cdot 13m²) \cdot ((\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{[g]}) + (9.81kN/m³ \cdot 15m)) \cdot \sin (\frac{36°}{2}))

Next Step Substitute values of Constants

∴

P BR = ((2 \cdot 13m²) \cdot ((\frac{9.81kN/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²}) + (9.81kN/m³ \cdot 15m)) \cdot \sin (\frac{36°}{2}))

Next Step Convert Units

∴

P BR = ((2 \cdot 13m²) \cdot ((\frac{9810N/m³ \cdot ({5.67m/s}^{2})}{9.8066m/s²}) + (9810N/m³ \cdot 15m)) \cdot \sin (\frac{0.6283rad}{2}))

Next Step Prepare to Evaluate

∴

P BR = ((2 \cdot 13) \cdot ((\frac{9810 \cdot ({5.67}^{2})}{9.8066}) + (9810 \cdot 15)) \cdot \sin (\frac{0.6283}{2}))

Next Step Evaluate

∴

P BR = 1440654.82252116N

Next Step Convert to Output's Unit

∴

P BR = 1440.65482252116kN

LAST Step Rounding Answer

∴

P BR = 1440.6548kN

Buttress Resistance using Head of Water Formula Elements

Variables

Constants

Functions

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

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

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

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.

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 Buttress Resistance in Pipe

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}))

Other formulas in Stresses at Bends category

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 Area of Section of Pipe given Buttress Resistance

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

Go Area of Section of Pipe given Head of Water and Buttress Resistance

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

How to Evaluate Buttress Resistance using Head of Water?

Buttress Resistance using Head of Water evaluator uses 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 the Liquid))*sin((Angle of Bend in Environmental Engi.)/(2))) to evaluate the Buttress Resistance in Pipe, The Buttress Resistance using Head of Water formula is defined as the external resisting force that must be exerted to overcome the outward thrust exerted on the pipe. Buttress Resistance in Pipe is denoted by P_BR symbol.

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

FAQs on Buttress Resistance using Head of Water

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

The formula of Buttress Resistance using Head of Water is expressed as 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 the Liquid))*sin((Angle of Bend in Environmental Engi.)/(2))). Here is an example- 1.440655 = ((2*13)*(((9810*(5.67^2))/[g])+(9810*15))*sin((0.62831853071784)/(2))).

How to calculate Buttress Resistance using Head of Water?

With Cross-Sectional Area (A_cs), Unit Weight of Water in KN per Cubic Meter (γ_water), Velocity of Flowing Water (V_fw), Head of the Liquid (H) & Angle of Bend in Environmental Engi. (θ_b) we can find Buttress Resistance using Head of Water using the formula - 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 the Liquid))*sin((Angle of Bend in Environmental Engi.)/(2))). This formula also uses Gravitational acceleration on Earth constant(s) and Sine (sin) function(s).

What are the other ways to Calculate Buttress Resistance in Pipe?

Here are the different ways to Calculate Buttress Resistance in Pipe-

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)))

Can the Buttress Resistance using Head of Water be negative?

No, the Buttress Resistance using Head of Water, measured in Force cannot be negative.

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

Buttress Resistance using Head of Water is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Buttress Resistance using Head of Water can be measured.

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Buttress Resistance using Head of Water Formula

​GoButtress Resistance using Angle of Bend Formula

Buttress Resistance using Head of Water Example

Buttress Resistance using Head of Water Solution

Buttress Resistance using Head of Water Formula Elements

Other Formulas to find Buttress Resistance in Pipe

Other formulas in Stresses at Bends category

How to Evaluate Buttress Resistance using Head of Water?

FAQs on Buttress Resistance using Head of Water

Variable Name

GoButtress Resistance using Angle of Bend Formula