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Constant K4 given Rotation due to Twist on Arch Dam Formula

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Constant K4 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam. Check FAQs

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

K₄ - Constant K4?E - Elastic Modulus of Rock?t - Horizontal Thickness of an Arch?Φ - Angle of Rotation?M - Cantilever Twisting Moment?

Constant K4 given Rotation due to Twist on Arch Dam Example

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Here is how the Constant K4 given Rotation due to Twist on Arch Dam equation looks like with Values.

Here is how the Constant K4 given Rotation due to Twist on Arch Dam equation looks like with Units.

Here is how the Constant K4 given Rotation due to Twist on Arch Dam equation looks like.

10.08 = (10.2 \cdot {1.2}^{2}) \cdot \frac{35}{51}

10.08 = (10.2N/m² \cdot {1.2m}^{2}) \cdot \frac{35rad}{51N*m}

10.08 = (10.2 \cdot {1.2}^{2}) \cdot \frac{35}{51}

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Constant K4 given Rotation due to Twist on Arch Dam Solution

Follow our step by step solution on how to calculate Constant K4 given Rotation due to Twist on Arch Dam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K 4 = (10.2N/m² \cdot {1.2m}^{2}) \cdot \frac{35rad}{51N*m}

Next Step Convert Units

∴

K 4 = (10.2Pa \cdot {1.2m}^{2}) \cdot \frac{35rad}{51N*m}

Next Step Prepare to Evaluate

∴

K 4 = (10.2 \cdot {1.2}^{2}) \cdot \frac{35}{51}

LAST Step Evaluate

∴

K 4 = 10.08

Constant K4 given Rotation due to Twist on Arch Dam Formula Elements

Variables

Constant K4

Constant K4 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

Symbol: K₄

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant K4

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

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

Cantilever Twisting Moment

Cantilever Twisting Moment is defined as the moment occurred due to twist on the arch dam.

Symbol: M

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Cantilever Twisting Moment

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 K5 given Rotation due to Shear on Arch Dam

K 5 = Φ \cdot \frac{E \cdot t}{F s}

How to Evaluate Constant K4 given Rotation due to Twist on Arch Dam?

Constant K4 given Rotation due to Twist on Arch Dam evaluator uses Constant K4 = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Cantilever Twisting Moment to evaluate the Constant K4, Constant K4 given Rotation due to Twist on Arch Dam formula quantifies the relationship between the twist angle and the applied moments. Constant K4 is denoted by K₄ symbol.

How to evaluate Constant K4 given Rotation due to Twist on Arch Dam using this online evaluator? To use this online evaluator for Constant K4 given Rotation due to Twist on Arch Dam, enter Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t), Angle of Rotation (Φ) & Cantilever Twisting Moment (M) and hit the calculate button.

FAQs on Constant K4 given Rotation due to Twist on Arch Dam

What is the formula to find Constant K4 given Rotation due to Twist on Arch Dam?

The formula of Constant K4 given Rotation due to Twist on Arch Dam is expressed as Constant K4 = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Cantilever Twisting Moment. Here is an example- 10.08 = (10.2*1.2^2)*35/51.

How to calculate Constant K4 given Rotation due to Twist on Arch Dam?

With Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t), Angle of Rotation (Φ) & Cantilever Twisting Moment (M) we can find Constant K4 given Rotation due to Twist on Arch Dam using the formula - Constant K4 = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Cantilever Twisting Moment.

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Constant K4 given Rotation due to Twist on Arch Dam Formula

Constant K4 given Rotation due to Twist on Arch Dam Example

Constant K4 given Rotation due to Twist on Arch Dam Solution

Constant K4 given Rotation due to Twist on Arch Dam Formula Elements

Other formulas in Constant Thickness on Arch Dam category

How to Evaluate Constant K4 given Rotation due to Twist on Arch Dam?

FAQs on Constant K4 given Rotation due to Twist on Arch Dam

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