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Constant K5 given Deflection due to Moments on Arch Dam Formula

GoConstant K5 given Rotation due to Shear 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 = δ \cdot \frac{E \cdot t}{M t}

K₅ - Constant K5?δ - Deflection due to Moments on Arch Dam?E - Elastic Modulus of Rock?t - Horizontal Thickness of an Arch?M_t - Moment acting on Arch Dam?

Constant K5 given Deflection due to Moments on Arch Dam Example

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

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

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

10.8026 = 48.1 \cdot \frac{10.2 \cdot 1.2}{54.5}

10.8026 = 48.1m \cdot \frac{10.2N/m² \cdot 1.2m}{54.5N*m}

10.8026 = 48.1 \cdot \frac{10.2 \cdot 1.2}{54.5}

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Constant K5 given Deflection due to Moments on Arch Dam Solution

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

FIRST Step Consider the formula

K 5 = δ \cdot \frac{E \cdot t}{M t}

Next Step Substitute values of Variables

∴

K 5 = 48.1m \cdot \frac{10.2N/m² \cdot 1.2m}{54.5N*m}

Next Step Convert Units

∴

K 5 = 48.1m \cdot \frac{10.2Pa \cdot 1.2m}{54.5J}

Next Step Prepare to Evaluate

∴

K 5 = 48.1 \cdot \frac{10.2 \cdot 1.2}{54.5}

Next Step Evaluate

∴

K 5 = 10.8026422018349

LAST Step Rounding Answer

∴

K 5 = 10.8026

Constant K5 given Deflection due to Moments 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

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

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 to find Constant K5

Go Constant K5 given Rotation due to Shear on Arch Dam

K 5 = Φ \cdot \frac{E \cdot t}{F s}

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 Deflection due to Moments on Arch Dam?

Constant K5 given Deflection due to Moments on Arch Dam evaluator uses Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam to evaluate the Constant K5, Constant K5 given Deflection due to Moments on Arch Dam, which is a measure of the structural deformation caused by the bending moments acting on the dam. It quantifies the relationship between the applied moments and the resulting deflection, aiding in the design and analysis of arch dams. Constant K5 is denoted by K₅ symbol.

How to evaluate Constant K5 given Deflection due to Moments on Arch Dam using this online evaluator? To use this online evaluator for Constant K5 given Deflection due to Moments on Arch Dam, enter Deflection due to Moments on Arch Dam (δ), 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 K5 given Deflection due to Moments on Arch Dam

What is the formula to find Constant K5 given Deflection due to Moments on Arch Dam?

The formula of Constant K5 given Deflection due to Moments on Arch Dam is expressed as Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam. Here is an example- 10.80264 = 48.1*(10.2*1.2)/54.5.

How to calculate Constant K5 given Deflection due to Moments on Arch Dam?

With Deflection due to Moments on Arch Dam (δ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Moment acting on Arch Dam (M_t) we can find Constant K5 given Deflection due to Moments on Arch Dam using the formula - Constant K5 = Deflection due to Moments on Arch Dam*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Moment acting on Arch Dam.

What are the other ways to Calculate Constant K5?

Here are the different ways to Calculate Constant K5-

Constant K5=Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Shear Force

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Constant K5 given Deflection due to Moments on Arch Dam Formula

​GoConstant K5 given Rotation due to Shear on Arch Dam Formula

Constant K5 given Deflection due to Moments on Arch Dam Example

Constant K5 given Deflection due to Moments on Arch Dam Solution

Constant K5 given Deflection due to Moments 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 Deflection due to Moments on Arch Dam?

FAQs on Constant K5 given Deflection due to Moments on Arch Dam

Variable Name

GoConstant K5 given Rotation due to Shear on Arch Dam Formula