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Thrust given Deflection due to Thrust on Arch Dam Formula

GoThrust at Crown of Arch Dam Formula

GoThrust at Crown of Arch Dam given Moment at Abutments Formula

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Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments. Check FAQs

F = δ \cdot \frac{E}{K 2}

F - Thrust of Abutments?δ - Deflection due to Moments on Arch Dam?E - Elastic Modulus of Rock?K₂ - Constant K2?

Thrust given Deflection due to Thrust on Arch Dam Example

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Here is how the Thrust given Deflection due to Thrust on Arch Dam equation looks like with Values.

Here is how the Thrust given Deflection due to Thrust on Arch Dam equation looks like with Units.

Here is how the Thrust given Deflection due to Thrust on Arch Dam equation looks like.

48.5762 = 48.1 \cdot \frac{10.2}{10.1}

48.5762N = 48.1m \cdot \frac{10.2N/m²}{10.1}

48.5762 = 48.1 \cdot \frac{10.2}{10.1}

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Thrust given Deflection due to Thrust on Arch Dam Solution

Follow our step by step solution on how to calculate Thrust given Deflection due to Thrust on Arch Dam?

FIRST Step Consider the formula

F = δ \cdot \frac{E}{K 2}

Next Step Substitute values of Variables

∴

F = 48.1m \cdot \frac{10.2N/m²}{10.1}

Next Step Convert Units

∴

F = 48.1m \cdot \frac{10.2Pa}{10.1}

Next Step Prepare to Evaluate

∴

F = 48.1 \cdot \frac{10.2}{10.1}

Next Step Evaluate

∴

F = 48.5762376237624N

LAST Step Rounding Answer

∴

F = 48.5762N

Thrust given Deflection due to Thrust on Arch Dam Formula Elements

Variables

Thrust of Abutments

Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Thrust of Abutments

Deflection due to Moments on Arch Dam

The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deflection due to Moments on Arch Dam

Elastic Modulus of Rock

Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation.

Symbol: E

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Elastic Modulus of Rock

Constant K2

Constant K2 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

Symbol: K₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant K2

Other Formulas to find Thrust of Abutments

Go Thrust at Crown of Arch Dam

F = (p \cdot r) \cdot (1 - (2 \cdot θ \cdot \frac{\sin (θ \cdot \frac{{(\frac{T b}{r})}^{2}}{12})}{D}))

Go Thrust at Crown of Arch Dam given Moment at Abutments

F = \frac{M t}{r \cdot (\frac{\sin (θ)}{θ - (\cos (θ))})} + p \cdot r

Go Thrust given Intrados Stresses on Arch Dam

F = S \cdot T b - 6 \cdot \frac{M t}{T b}

Go Thrust given Extrados Stresses on Arch Dam

F = S \cdot T b + 6 \cdot \frac{M t}{{T b}^{2}}

Other formulas in Thrust on Arch Dam category

Go Thrust at Abutments of Arch Dam

P = P v \cdot r - (P v \cdot r - F) \cdot \cos (θ)

How to Evaluate Thrust given Deflection due to Thrust on Arch Dam?

Thrust given Deflection due to Thrust on Arch Dam evaluator uses Thrust of Abutments = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K2 to evaluate the Thrust of Abutments, Thrust given Deflection due to Thrust on Arch Dam is the force exerted by water pressure on an arch dam. Deflection due to thrust refers to the deformation or bending of the dam caused by the thrust force, which must be accounted for in dam design to ensure structural stability. Thrust of Abutments is denoted by F symbol.

How to evaluate Thrust given Deflection due to Thrust on Arch Dam using this online evaluator? To use this online evaluator for Thrust given Deflection due to Thrust on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Constant K2 (K₂) and hit the calculate button.

FAQs on Thrust given Deflection due to Thrust on Arch Dam

What is the formula to find Thrust given Deflection due to Thrust on Arch Dam?

The formula of Thrust given Deflection due to Thrust on Arch Dam is expressed as Thrust of Abutments = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K2. Here is an example- 48.57624 = 48.1*10.2/10.1.

How to calculate Thrust given Deflection due to Thrust on Arch Dam?

With Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Constant K2 (K₂) we can find Thrust given Deflection due to Thrust on Arch Dam using the formula - Thrust of Abutments = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K2.

What are the other ways to Calculate Thrust of Abutments?

Here are the different ways to Calculate Thrust of Abutments-

Thrust of Abutments=(Normal Radial Pressure*Radius to Center Line of Arch)*(1-(2*Theta*sin(Theta*((Base Thickness/Radius to Center Line of Arch)^2)/12)/Diameter))
Thrust of Abutments=Moment acting on Arch Dam/(Radius to Center Line of Arch*(sin(Theta)/(Theta-(cos(Theta)))))+Normal Radial Pressure*Radius to Center Line of Arch
Thrust of Abutments=Intrados Stresses*Base Thickness-6*Moment acting on Arch Dam/Base Thickness

Can the Thrust given Deflection due to Thrust on Arch Dam be negative?

Yes, the Thrust given Deflection due to Thrust on Arch Dam, measured in Force can be negative.

Which unit is used to measure Thrust given Deflection due to Thrust on Arch Dam?

Thrust given Deflection due to Thrust on Arch Dam is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Thrust given Deflection due to Thrust on Arch Dam can be measured.

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Thrust given Deflection due to Thrust on Arch Dam Formula

​GoThrust at Crown of Arch Dam Formula

​GoThrust at Crown of Arch Dam given Moment at Abutments Formula

Thrust given Deflection due to Thrust on Arch Dam Example

Thrust given Deflection due to Thrust on Arch Dam Solution

Thrust given Deflection due to Thrust on Arch Dam Formula Elements

Other Formulas to find Thrust of Abutments

Other formulas in Thrust on Arch Dam category

How to Evaluate Thrust given Deflection due to Thrust on Arch Dam?

FAQs on Thrust given Deflection due to Thrust on Arch Dam

Variable Name

GoThrust at Crown of Arch Dam Formula

GoThrust at Crown of Arch Dam given Moment at Abutments Formula