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Constant K1 given Rotation due to Moment on Arch Dam Formula

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Constant K1 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam. Check FAQs

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

K₁ - Constant K1?Φ - Angle of Rotation?E - Elastic Modulus of Rock?t - Horizontal Thickness of an Arch?M_t - Moment acting on Arch Dam?

Constant K1 given Rotation due to Moment on Arch Dam Example

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Here is how the Constant K1 given Rotation due to Moment on Arch Dam equation looks like with Values.

Here is how the Constant K1 given Rotation due to Moment on Arch Dam equation looks like with Units.

Here is how the Constant K1 given Rotation due to Moment on Arch Dam equation looks like.

9.4327 = \frac{35 \cdot (10.2 \cdot 1.2 \cdot 1.2)}{54.5}

9.4327 = \frac{35rad \cdot (10.2N/m² \cdot 1.2m \cdot 1.2m)}{54.5N*m}

9.4327 = \frac{35 \cdot (10.2 \cdot 1.2 \cdot 1.2)}{54.5}

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Constant K1 given Rotation due to Moment on Arch Dam Solution

Follow our step by step solution on how to calculate Constant K1 given Rotation due to Moment on Arch Dam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K 1 = \frac{35rad \cdot (10.2N/m² \cdot 1.2m \cdot 1.2m)}{54.5N*m}

Next Step Convert Units

∴

K 1 = \frac{35rad \cdot (10.2Pa \cdot 1.2m \cdot 1.2m)}{54.5J}

Next Step Prepare to Evaluate

∴

K 1 = \frac{35 \cdot (10.2 \cdot 1.2 \cdot 1.2)}{54.5}

Next Step Evaluate

∴

K 1 = 9.43266055045871

LAST Step Rounding Answer

∴

K 1 = 9.4327

Constant K1 given Rotation due to Moment on Arch Dam Formula Elements

Variables

Constant K1

Constant K1 is defined as the constant depending on b/a ratio and Poisson ratio of an Arch Dam.

Symbol: K₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant K1

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

Moment acting on Arch Dam

Moment acting on Arch Dam is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.

Symbol: M_t

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Moment acting on Arch Dam

Other formulas in Constant Thickness on Arch Dam category

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}

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 K1 given Rotation due to Moment on Arch Dam?

Constant K1 given Rotation due to Moment on Arch Dam evaluator uses Constant K1 = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Moment acting on Arch Dam to evaluate the Constant K1, Constant K1 given Rotation due to Moment on Arch Dam formula quantifies the relationship between the applied moment and the resulting rotation of the dam. Constant K1 is denoted by K₁ symbol.

How to evaluate Constant K1 given Rotation due to Moment on Arch Dam using this online evaluator? To use this online evaluator for Constant K1 given Rotation due to Moment on Arch Dam, enter Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Moment acting on Arch Dam (M_t) and hit the calculate button.

FAQs on Constant K1 given Rotation due to Moment on Arch Dam

What is the formula to find Constant K1 given Rotation due to Moment on Arch Dam?

The formula of Constant K1 given Rotation due to Moment on Arch Dam is expressed as Constant K1 = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Moment acting on Arch Dam. Here is an example- 9.432661 = (35*(10.2*1.2*1.2))/54.5.

How to calculate Constant K1 given Rotation due to Moment on Arch Dam?

With Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Moment acting on Arch Dam (M_t) we can find Constant K1 given Rotation due to Moment on Arch Dam using the formula - Constant K1 = (Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch*Horizontal Thickness of an Arch))/Moment acting on Arch Dam.

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Constant K1 given Rotation due to Moment on Arch Dam Formula

Constant K1 given Rotation due to Moment on Arch Dam Example

Constant K1 given Rotation due to Moment on Arch Dam Solution

Constant K1 given Rotation due to Moment on Arch Dam Formula Elements

Other formulas in Constant Thickness on Arch Dam category

How to Evaluate Constant K1 given Rotation due to Moment on Arch Dam?

FAQs on Constant K1 given Rotation due to Moment on Arch Dam

Variable Name