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Moments given Rotation due to Twist on Arch Dam Formula

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

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

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

Moments given Rotation due to Twist on Arch Dam Example

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

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

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

51.3054 = (10.2 \cdot {1.2}^{2}) \cdot \frac{35}{10.02}

51.3054N*m = (10.2N/m² \cdot {1.2m}^{2}) \cdot \frac{35rad}{10.02}

51.3054 = (10.2 \cdot {1.2}^{2}) \cdot \frac{35}{10.02}

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Moments given Rotation due to Twist on Arch Dam Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = (10.2N/m² \cdot {1.2m}^{2}) \cdot \frac{35rad}{10.02}

Next Step Convert Units

∴

M = (10.2Pa \cdot {1.2m}^{2}) \cdot \frac{35rad}{10.02}

Next Step Prepare to Evaluate

∴

M = (10.2 \cdot {1.2}^{2}) \cdot \frac{35}{10.02}

Next Step Evaluate

∴

M = 51.3053892215569N*m

LAST Step Rounding Answer

∴

M = 51.3054N*m

Moments given Rotation due to Twist on Arch Dam Formula Elements

Variables

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

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

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

Other formulas in Moments acting on Arch Dam category

Go Moment at Crown of Arch Dam

M t = - r \cdot ((p \cdot r) - F) \cdot (1 - (\frac{\sin (A)}{A}))

Go Moment at Abutments of Arch Dam

M t = r \cdot ((p \cdot r) - F) \cdot (\frac{\sin (A)}{A} - \cos (A))

Go Moments given Intrados Stresses on Arch Dam

M t = \frac{S \cdot t \cdot t - F \cdot t}{6}

Go Moments given Extrados Stresses on Arch Dam

M t = σ e \cdot t \cdot t + F \cdot \frac{t}{6}

How to Evaluate Moments given Rotation due to Twist on Arch Dam?

Moments given Rotation due to Twist on Arch Dam evaluator uses Cantilever Twisting Moment = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Constant K4 to evaluate the Cantilever Twisting Moment, Moments given Rotation due to Twist on Arch Dam formula is defined as couple acting on dam occurring twisting action. Cantilever Twisting Moment is denoted by M symbol.

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

FAQs on Moments given Rotation due to Twist on Arch Dam

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

The formula of Moments given Rotation due to Twist on Arch Dam is expressed as Cantilever Twisting Moment = (Elastic Modulus of Rock*Horizontal Thickness of an Arch^2)*Angle of Rotation/Constant K4. Here is an example- 51.30539 = (10.2*1.2^2)*35/10.02.

How to calculate Moments given Rotation due to Twist on Arch Dam?

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

Can the Moments given Rotation due to Twist on Arch Dam be negative?

Yes, the Moments given Rotation due to Twist on Arch Dam, measured in Torque can be negative.

Which unit is used to measure Moments given Rotation due to Twist on Arch Dam?

Moments given Rotation due to Twist on Arch Dam is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Moments given Rotation due to Twist on Arch Dam can be measured.

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Moments given Rotation due to Twist on Arch Dam Formula

Moments given Rotation due to Twist on Arch Dam Example

Moments given Rotation due to Twist on Arch Dam Solution

Moments given Rotation due to Twist on Arch Dam Formula Elements

Other formulas in Moments acting on Arch Dam category

How to Evaluate Moments given Rotation due to Twist on Arch Dam?

FAQs on Moments given Rotation due to Twist on Arch Dam

Variable Name