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Constant K3 given Deflection due to Shear on Arch Dam Formula

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Constant K3 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam. Check FAQs

K 3 = δ \cdot \frac{E}{F s}

K₃ - Constant K3?δ - Deflection due to Moments on Arch Dam?E - Elastic Modulus of Rock?F_s - Shear Force?

Constant K3 given Deflection due to Shear on Arch Dam Example

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Here is how the Constant K3 given Deflection due to Shear on Arch Dam equation looks like with Values.

Here is how the Constant K3 given Deflection due to Shear on Arch Dam equation looks like with Units.

Here is how the Constant K3 given Deflection due to Shear on Arch Dam equation looks like.

10.1159 = 48.1 \cdot \frac{10.2}{48.5}

10.1159 = 48.1m \cdot \frac{10.2N/m²}{48.5N}

10.1159 = 48.1 \cdot \frac{10.2}{48.5}

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Constant K3 given Deflection due to Shear on Arch Dam Solution

Follow our step by step solution on how to calculate Constant K3 given Deflection due to Shear on Arch Dam?

FIRST Step Consider the formula

K 3 = δ \cdot \frac{E}{F s}

Next Step Substitute values of Variables

∴

K 3 = 48.1m \cdot \frac{10.2N/m²}{48.5N}

Next Step Convert Units

∴

K 3 = 48.1m \cdot \frac{10.2Pa}{48.5N}

Next Step Prepare to Evaluate

∴

K 3 = 48.1 \cdot \frac{10.2}{48.5}

Next Step Evaluate

∴

K 3 = 10.1158762886598

LAST Step Rounding Answer

∴

K 3 = 10.1159

Constant K3 given Deflection due to Shear on Arch Dam Formula Elements

Variables

Constant K3

Constant K3 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

Symbol: K₃

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant K3

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

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force

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 K2 given Deflection due to Thrust on Arch Dam

K 2 = δ \cdot \frac{E}{F}

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 K3 given Deflection due to Shear on Arch Dam?

Constant K3 given Deflection due to Shear on Arch Dam evaluator uses Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force to evaluate the Constant K3, Constant K3 given Deflection due to Shear on Arch Dam formula, which is a measure of the deformation caused by shear forces acting on the dam structure. Constant K3 is denoted by K₃ symbol.

How to evaluate Constant K3 given Deflection due to Shear on Arch Dam using this online evaluator? To use this online evaluator for Constant K3 given Deflection due to Shear on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Shear Force (F_s) and hit the calculate button.

FAQs on Constant K3 given Deflection due to Shear on Arch Dam

What is the formula to find Constant K3 given Deflection due to Shear on Arch Dam?

The formula of Constant K3 given Deflection due to Shear on Arch Dam is expressed as Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force. Here is an example- 10.11588 = 48.1*10.2/48.5.

How to calculate Constant K3 given Deflection due to Shear on Arch Dam?

With Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E) & Shear Force (F_s) we can find Constant K3 given Deflection due to Shear on Arch Dam using the formula - Constant K3 = Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Shear Force.

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Constant K3 given Deflection due to Shear on Arch Dam Formula

Constant K3 given Deflection due to Shear on Arch Dam Example

Constant K3 given Deflection due to Shear on Arch Dam Solution

Constant K3 given Deflection due to Shear on Arch Dam Formula Elements

Other formulas in Constant Thickness on Arch Dam category

How to Evaluate Constant K3 given Deflection due to Shear on Arch Dam?

FAQs on Constant K3 given Deflection due to Shear on Arch Dam

Variable Name