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Constant K2 given Deflection due to Thrust on Arch Dam Formula

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

K 2 = δ \cdot \frac{E}{F}

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

Constant K2 given Deflection due to Thrust on Arch Dam Example

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Here is how the Constant K2 given Deflection due to Thrust on Arch Dam equation looks like with Values.

Here is how the Constant K2 given Deflection due to Thrust on Arch Dam equation looks like with Units.

Here is how the Constant K2 given Deflection due to Thrust on Arch Dam equation looks like.

7.7202 = 48.1 \cdot \frac{10.2}{63.55}

7.7202 = 48.1m \cdot \frac{10.2N/m²}{63.55N}

7.7202 = 48.1 \cdot \frac{10.2}{63.55}

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Constant K2 given Deflection due to Thrust on Arch Dam Solution

Follow our step by step solution on how to calculate Constant K2 given Deflection due to Thrust on Arch Dam?

FIRST Step Consider the formula

K 2 = δ \cdot \frac{E}{F}

Next Step Substitute values of Variables

∴

K 2 = 48.1m \cdot \frac{10.2N/m²}{63.55N}

Next Step Convert Units

∴

K 2 = 48.1m \cdot \frac{10.2Pa}{63.55N}

Next Step Prepare to Evaluate

∴

K 2 = 48.1 \cdot \frac{10.2}{63.55}

Next Step Evaluate

∴

K 2 = 7.72022029897718

LAST Step Rounding Answer

∴

K 2 = 7.7202

Constant K2 given Deflection due to Thrust on Arch Dam Formula Elements

Variables

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

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

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

Other formulas in Constant Thickness on Arch Dam category

Go Constant K1 given Rotation due to Moment on Arch Dam

K 1 = \frac{Φ \cdot (E \cdot t \cdot t)}{M t}

Go Constant K3 given Deflection due to Shear on Arch Dam

K 3 = δ \cdot \frac{E}{F s}

Go Constant K4 given Rotation due to Twist on Arch Dam

K 4 = (E \cdot t^{2}) \cdot \frac{Φ}{M}

Go Constant K5 given Rotation due to Shear on Arch Dam

K 5 = Φ \cdot \frac{E \cdot t}{F s}

How to Evaluate Constant K2 given Deflection due to Thrust on Arch Dam?

Constant K2 given Deflection due to Thrust on Arch Dam evaluator uses Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments to evaluate the Constant K2, Constant K2 given Deflection due to Thrust on Arch Dam formula represents the relationship between the thrust force and the resulting deflection, allowing engineers to assess the structural behavior and stability of the dam. Constant K2 is denoted by K₂ symbol.

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

FAQs on Constant K2 given Deflection due to Thrust on Arch Dam

What is the formula to find Constant K2 given Deflection due to Thrust on Arch Dam?

The formula of Constant K2 given Deflection due to Thrust on Arch Dam is expressed as Constant K2 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Thrust of Abutments. Here is an example- 7.72022 = 48.1*10.2/63.55.

How to calculate Constant K2 given Deflection due to Thrust on Arch Dam?

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

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Constant K2 given Deflection due to Thrust on Arch Dam Formula

Constant K2 given Deflection due to Thrust on Arch Dam Example

Constant K2 given Deflection due to Thrust on Arch Dam Solution

Constant K2 given Deflection due to Thrust on Arch Dam Formula Elements

Other formulas in Constant Thickness on Arch Dam category

How to Evaluate Constant K2 given Deflection due to Thrust on Arch Dam?

FAQs on Constant K2 given Deflection due to Thrust on Arch Dam

Variable Name