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Elastic Modulus of Rock given Rotation due to Moment on Arch Dam Formula

GoElastic Modulus of Rock given Deflection due to Thrust on Arch Dam Formula

GoElastic Modulus of Rock given Deflection due to Shear on Arch Dam Formula

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Elastic Modulus of Rock is defined as the linear elastic deformation response of rock under deformation. Check FAQs

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

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

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam Example

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Here is how the Elastic Modulus of Rock given Rotation due to Moment on Arch Dam equation looks like with Values.

Here is how the Elastic Modulus of Rock given Rotation due to Moment on Arch Dam equation looks like with Units.

Here is how the Elastic Modulus of Rock given Rotation due to Moment on Arch Dam equation looks like.

10.7348 = 54.5 \cdot \frac{10.01}{35 \cdot 1.21 \cdot 1.2}

10.7348N/m² = 54.5N*m \cdot \frac{10.01}{35rad \cdot 1.21m \cdot 1.2m}

10.7348 = 54.5 \cdot \frac{10.01}{35 \cdot 1.21 \cdot 1.2}

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Elastic Modulus of Rock given Rotation due to Moment on Arch Dam Solution

Follow our step by step solution on how to calculate Elastic Modulus of Rock given Rotation due to Moment on Arch Dam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = 54.5N*m \cdot \frac{10.01}{35rad \cdot 1.21m \cdot 1.2m}

Next Step Convert Units

∴

E = 54.5J \cdot \frac{10.01}{35rad \cdot 1.21m \cdot 1.2m}

Next Step Prepare to Evaluate

∴

E = 54.5 \cdot \frac{10.01}{35 \cdot 1.21 \cdot 1.2}

Next Step Evaluate

∴

E = 10.7348484848485Pa

Next Step Convert to Output's Unit

∴

E = 10.7348484848485N/m²

LAST Step Rounding Answer

∴

E = 10.7348N/m²

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam Formula Elements

Variables

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

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

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

Thickness of Circular Arch

Thickness of Circular Arch refers to the distance between the intrados (the inner curve or surface of the arch) and the extrados (the outer curve or surface of the arch).

Symbol: T

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Thickness of Circular Arch

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

Other Formulas to find Elastic Modulus of Rock

Go Elastic Modulus of Rock given Deflection due to Thrust on Arch Dam

E = F \cdot \frac{K 2}{δ}

Go Elastic Modulus of Rock given Deflection due to Shear on Arch Dam

E = F s \cdot \frac{K 3}{δ}

Go Elastic Modulus of Rock given Rotation due to Twist on Arch Dam

E = M \cdot \frac{K 4}{Φ \cdot T^{2}}

Go Elastic Modulus of Rock given Rotation due to Shear on Arch Dam

E = F s \cdot \frac{K 5}{Φ \cdot T}

How to Evaluate Elastic Modulus of Rock given Rotation due to Moment on Arch Dam?

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam evaluator uses Elastic Modulus of Rock = Moment acting on Arch Dam*Constant K1/(Angle of Rotation*Thickness of Circular Arch*Horizontal Thickness of an Arch) to evaluate the Elastic Modulus of Rock, Elastic Modulus of Rock given Rotation due to Moment on Arch Dam refers to its stiffness or resistance to deformation. It is calculated by measuring the rotation due to a moment applied to an arch dam, which represents the rock's ability to withstand bending forces. Elastic Modulus of Rock is denoted by E symbol.

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

FAQs on Elastic Modulus of Rock given Rotation due to Moment on Arch Dam

What is the formula to find Elastic Modulus of Rock given Rotation due to Moment on Arch Dam?

The formula of Elastic Modulus of Rock given Rotation due to Moment on Arch Dam is expressed as Elastic Modulus of Rock = Moment acting on Arch Dam*Constant K1/(Angle of Rotation*Thickness of Circular Arch*Horizontal Thickness of an Arch). Here is an example- 10.73485 = 54.5*10.01/(35*1.21*1.2).

How to calculate Elastic Modulus of Rock given Rotation due to Moment on Arch Dam?

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

What are the other ways to Calculate Elastic Modulus of Rock?

Here are the different ways to Calculate Elastic Modulus of Rock-

Elastic Modulus of Rock=Thrust of Abutments*Constant K2/(Deflection due to Moments on Arch Dam)
Elastic Modulus of Rock=Shear Force*Constant K3/Deflection due to Moments on Arch Dam
Elastic Modulus of Rock=Cantilever Twisting Moment*Constant K4/(Angle of Rotation*Thickness of Circular Arch^2)

Can the Elastic Modulus of Rock given Rotation due to Moment on Arch Dam be negative?

Yes, the Elastic Modulus of Rock given Rotation due to Moment on Arch Dam, measured in Pressure can be negative.

Which unit is used to measure Elastic Modulus of Rock given Rotation due to Moment on Arch Dam?

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Elastic Modulus of Rock given Rotation due to Moment on Arch Dam can be measured.

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Elastic Modulus of Rock given Rotation due to Moment on Arch Dam Formula

​GoElastic Modulus of Rock given Deflection due to Thrust on Arch Dam Formula

​GoElastic Modulus of Rock given Deflection due to Shear on Arch Dam Formula

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam Example

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam Solution

Elastic Modulus of Rock given Rotation due to Moment on Arch Dam Formula Elements

Other Formulas to find Elastic Modulus of Rock

How to Evaluate Elastic Modulus of Rock given Rotation due to Moment on Arch Dam?

FAQs on Elastic Modulus of Rock given Rotation due to Moment on Arch Dam

Variable Name

GoElastic Modulus of Rock given Deflection due to Thrust on Arch Dam Formula

GoElastic Modulus of Rock given Deflection due to Shear on Arch Dam Formula