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Buttress Resistance using Angle of Bend Formula

GoButtress Resistance using Head of Water 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 (((γ water \cdot (\frac{{V fw}^{2}}{[g]})) + p i) \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?p_i - Internal Water Pressure in Pipes?θ_b - Angle of Bend in Environmental Engi.?[g] - Gravitational acceleration on Earth?

Buttress Resistance using Angle of Bend Example

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Here is how the Buttress Resistance using Angle of Bend equation looks like with Values.

Here is how the Buttress Resistance using Angle of Bend equation looks like with Units.

Here is how the Buttress Resistance using Angle of Bend equation looks like.

836.9469 = (2 \cdot 13) \cdot (((9.81 \cdot (\frac{{5.67}^{2}}{9.8066})) + 72.01) \cdot \sin (\frac{36}{2}))

836.9469kN = (2 \cdot 13m²) \cdot (((9.81kN/m³ \cdot (\frac{{5.67m/s}^{2}}{9.8066m/s²})) + 72.01kN/m²) \cdot \sin (\frac{36°}{2}))

836.9469 = (2 \cdot 13) \cdot (((9.81 \cdot (\frac{{5.67}^{2}}{9.8066})) + 72.01) \cdot \sin (\frac{36}{2}))

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Buttress Resistance using Angle of Bend Solution

Follow our step by step solution on how to calculate Buttress Resistance using Angle of Bend?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P BR = (2 \cdot 13m²) \cdot (((9.81kN/m³ \cdot (\frac{{5.67m/s}^{2}}{[g]})) + 72.01kN/m²) \cdot \sin (\frac{36°}{2}))

Next Step Substitute values of Constants

∴

P BR = (2 \cdot 13m²) \cdot (((9.81kN/m³ \cdot (\frac{{5.67m/s}^{2}}{9.8066m/s²})) + 72.01kN/m²) \cdot \sin (\frac{36°}{2}))

Next Step Convert Units

∴

P BR = (2 \cdot 13m²) \cdot (((9810N/m³ \cdot (\frac{{5.67m/s}^{2}}{9.8066m/s²})) + 72010Pa) \cdot \sin (\frac{0.6283rad}{2}))

Next Step Prepare to Evaluate

∴

P BR = (2 \cdot 13) \cdot (((9810 \cdot (\frac{{5.67}^{2}}{9.8066})) + 72010) \cdot \sin (\frac{0.6283}{2}))

Next Step Evaluate

∴

P BR = 836946.861630596N

Next Step Convert to Output's Unit

∴

P BR = 836.946861630596kN

LAST Step Rounding Answer

∴

P BR = 836.9469kN

Buttress Resistance using Angle of Bend 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

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

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 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}))

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 Angle of Bend?

Buttress Resistance using Angle of Bend 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]))+Internal Water Pressure in Pipes)*sin((Angle of Bend in Environmental Engi.)/(2))) to evaluate the Buttress Resistance in Pipe, The Buttress Resistance using Angle of bend 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 Angle of Bend using this online evaluator? To use this online evaluator for Buttress Resistance using Angle of Bend, enter Cross-Sectional Area (A_cs), Unit Weight of Water in KN per Cubic Meter (γ_water), Velocity of Flowing Water (V_fw), Internal Water Pressure in Pipes (p_i) & Angle of Bend in Environmental Engi. (θ_b) and hit the calculate button.

FAQs on Buttress Resistance using Angle of Bend

What is the formula to find Buttress Resistance using Angle of Bend?

The formula of Buttress Resistance using Angle of Bend 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]))+Internal Water Pressure in Pipes)*sin((Angle of Bend in Environmental Engi.)/(2))). Here is an example- 0.836947 = (2*13)*(((9810*((5.67^2)/[g]))+72010)*sin((0.62831853071784)/(2))).

How to calculate Buttress Resistance using Angle of Bend?

With Cross-Sectional Area (A_cs), Unit Weight of Water in KN per Cubic Meter (γ_water), Velocity of Flowing Water (V_fw), Internal Water Pressure in Pipes (p_i) & Angle of Bend in Environmental Engi. (θ_b) we can find Buttress Resistance using Angle of Bend 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]))+Internal Water Pressure in Pipes)*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])+(Unit Weight of Water in KN per Cubic Meter*Head of the Liquid))*sin((Angle of Bend in Environmental Engi.)/(2)))

Can the Buttress Resistance using Angle of Bend be negative?

No, the Buttress Resistance using Angle of Bend, measured in Force cannot be negative.

Which unit is used to measure Buttress Resistance using Angle of Bend?

Buttress Resistance using Angle of Bend 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 Angle of Bend can be measured.

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Buttress Resistance using Angle of Bend Formula

​GoButtress Resistance using Head of Water Formula

Buttress Resistance using Angle of Bend Example

Buttress Resistance using Angle of Bend Solution

Buttress Resistance using Angle of Bend Formula Elements

Other Formulas to find Buttress Resistance in Pipe

Other formulas in Stresses at Bends category

How to Evaluate Buttress Resistance using Angle of Bend?

FAQs on Buttress Resistance using Angle of Bend

Variable Name

GoButtress Resistance using Head of Water Formula