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Deflection due to Thrust on Arch Dam Formula

GoDeflection due to Shear on Arch Dam Formula

GoDeflection due to Moments on Arch Dam Formula

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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). Check FAQs

δ = F \cdot \frac{K 2}{E}

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

Deflection due to Thrust on Arch Dam Example

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

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

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

62.927 = 63.55 \cdot \frac{10.1}{10.2}

62.927m = 63.55N \cdot \frac{10.1}{10.2N/m²}

62.927 = 63.55 \cdot \frac{10.1}{10.2}

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Deflection due to Thrust on Arch Dam Solution

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

FIRST Step Consider the formula

δ = F \cdot \frac{K 2}{E}

Next Step Substitute values of Variables

∴

δ = 63.55N \cdot \frac{10.1}{10.2N/m²}

Next Step Convert Units

∴

δ = 63.55N \cdot \frac{10.1}{10.2Pa}

Next Step Prepare to Evaluate

∴

δ = 63.55 \cdot \frac{10.1}{10.2}

Next Step Evaluate

∴

δ = 62.9269607843137m

LAST Step Rounding Answer

∴

δ = 62.927m

Deflection due to Thrust on Arch Dam Formula Elements

Variables

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

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

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

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

Other Formulas to find Deflection due to Moments on Arch Dam

Go Deflection due to Shear on Arch Dam

δ = F s \cdot \frac{K 3}{E}

Go Deflection due to Moments on Arch Dam

δ = M t \cdot \frac{K 5}{E \cdot t}

How to Evaluate Deflection due to Thrust on Arch Dam?

Deflection due to Thrust on Arch Dam evaluator uses Deflection due to Moments on Arch Dam = Thrust of Abutments*Constant K2/(Elastic Modulus of Rock) to evaluate the Deflection due to Moments on Arch Dam, Deflection due to Thrust on Arch Dam refers to the bending or deformation of the dam structure caused by the horizontal force exerted by water pressure against the curved shape of the dam. Deflection due to Moments on Arch Dam is denoted by δ symbol.

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

FAQs on Deflection due to Thrust on Arch Dam

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

The formula of Deflection due to Thrust on Arch Dam is expressed as Deflection due to Moments on Arch Dam = Thrust of Abutments*Constant K2/(Elastic Modulus of Rock). Here is an example- 62.92696 = 63.55*10.1/(10.2).

How to calculate Deflection due to Thrust on Arch Dam?

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

What are the other ways to Calculate Deflection due to Moments on Arch Dam?

Here are the different ways to Calculate Deflection due to Moments on Arch Dam-

Deflection due to Moments on Arch Dam=Shear Force*Constant K3/Elastic Modulus of Rock
Deflection due to Moments on Arch Dam=Moment acting on Arch Dam*Constant K5/(Elastic Modulus of Rock*Horizontal Thickness of an Arch)

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

No, the Deflection due to Thrust on Arch Dam, measured in Length cannot be negative.

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

Deflection due to Thrust on Arch Dam is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Deflection due to Thrust on Arch Dam can be measured.

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Deflection due to Thrust on Arch Dam Formula

​GoDeflection due to Shear on Arch Dam Formula

​GoDeflection due to Moments on Arch Dam Formula

Deflection due to Thrust on Arch Dam Example

Deflection due to Thrust on Arch Dam Solution

Deflection due to Thrust on Arch Dam Formula Elements

Other Formulas to find Deflection due to Moments on Arch Dam

How to Evaluate Deflection due to Thrust on Arch Dam?

FAQs on Deflection due to Thrust on Arch Dam

Variable Name

GoDeflection due to Shear on Arch Dam Formula

GoDeflection due to Moments on Arch Dam Formula