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Constant K5 given Rotation due to Shear on Arch Dam Formula

GoConstant K5 given Deflection due to Moments on Arch Dam Formula

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Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam. Check FAQs

K 5 = Φ \cdot \frac{E \cdot t}{F s}

K₅ - Constant K5?Φ - Angle of Rotation?E - Elastic Modulus of Rock?t - Horizontal Thickness of an Arch?F_s - Shear Force?

Constant K5 given Rotation due to Shear on Arch Dam Example

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Here is how the Constant K5 given Rotation due to Shear on Arch Dam equation looks like with Values.

Here is how the Constant K5 given Rotation due to Shear on Arch Dam equation looks like with Units.

Here is how the Constant K5 given Rotation due to Shear on Arch Dam equation looks like.

8.833 = 35 \cdot \frac{10.2 \cdot 1.2}{48.5}

8.833 = 35rad \cdot \frac{10.2N/m² \cdot 1.2m}{48.5N}

8.833 = 35 \cdot \frac{10.2 \cdot 1.2}{48.5}

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Constant K5 given Rotation due to Shear on Arch Dam Solution

Follow our step by step solution on how to calculate Constant K5 given Rotation due to Shear on Arch Dam?

FIRST Step Consider the formula

K 5 = Φ \cdot \frac{E \cdot t}{F s}

Next Step Substitute values of Variables

∴

K 5 = 35rad \cdot \frac{10.2N/m² \cdot 1.2m}{48.5N}

Next Step Convert Units

∴

K 5 = 35rad \cdot \frac{10.2Pa \cdot 1.2m}{48.5N}

Next Step Prepare to Evaluate

∴

K 5 = 35 \cdot \frac{10.2 \cdot 1.2}{48.5}

Next Step Evaluate

∴

K 5 = 8.83298969072165

LAST Step Rounding Answer

∴

K 5 = 8.833

Constant K5 given Rotation due to Shear on Arch Dam Formula Elements

Variables

Constant K5

Constant K5 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

Symbol: K₅

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant K5

Angle of Rotation

Angle of Rotation is defined as by how many degrees the object is moved with respect to reference line.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Rotation

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

Horizontal Thickness of an Arch

Horizontal Thickness of an Arch, also known as the arch thickness or arch rise, refers to the distance between the intrados and the extrados along the horizontal axis.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Thickness of an Arch

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 to find Constant K5

Go Constant K5 given Deflection due to Moments on Arch Dam

K 5 = δ \cdot \frac{E \cdot t}{M t}

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 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}

How to Evaluate Constant K5 given Rotation due to Shear on Arch Dam?

Constant K5 given Rotation due to Shear on Arch Dam evaluator uses Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force to evaluate the Constant K5, Constant K5 given Rotation due to Shear on Arch Dam formula quantifies the relationship between the applied shear stress and the resulting angular displacement of the dam, providing a measure of its resistance to shear-induced deformation. Constant K5 is denoted by K₅ symbol.

How to evaluate Constant K5 given Rotation due to Shear on Arch Dam using this online evaluator? To use this online evaluator for Constant K5 given Rotation due to Shear on Arch Dam, enter Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Shear Force (F_s) and hit the calculate button.

FAQs on Constant K5 given Rotation due to Shear on Arch Dam

What is the formula to find Constant K5 given Rotation due to Shear on Arch Dam?

The formula of Constant K5 given Rotation due to Shear on Arch Dam is expressed as Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force. Here is an example- 8.83299 = 35*(10.2*1.2)/48.5.

How to calculate Constant K5 given Rotation due to Shear on Arch Dam?

With Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Shear Force (F_s) we can find Constant K5 given Rotation due to Shear on Arch Dam using the formula - Constant K5 = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force.

What are the other ways to Calculate Constant K5?

Here are the different ways to Calculate Constant K5-

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

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Constant K5 given Rotation due to Shear on Arch Dam Formula

​GoConstant K5 given Deflection due to Moments on Arch Dam Formula

Constant K5 given Rotation due to Shear on Arch Dam Example

Constant K5 given Rotation due to Shear on Arch Dam Solution

Constant K5 given Rotation due to Shear on Arch Dam Formula Elements

Other Formulas to find Constant K5

Other formulas in Constant Thickness on Arch Dam category

How to Evaluate Constant K5 given Rotation due to Shear on Arch Dam?

FAQs on Constant K5 given Rotation due to Shear on Arch Dam

Variable Name

GoConstant K5 given Deflection due to Moments on Arch Dam Formula