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Shear Force given Rotation due to Shear on Arch Dam Formula

GoShear Force given Deflection due to Shear on Arch Dam Formula

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Shear Force is the force which causes shear deformation to occur in the shear plane. Check FAQs

F s = Φ \cdot \frac{E \cdot t}{K 5}

F_s - Shear Force?Φ - Angle of Rotation?E - Elastic Modulus of Rock?t - Horizontal Thickness of an Arch?K₅ - Constant K5?

Shear Force given Rotation due to Shear on Arch Dam Example

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

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

Here is how the Shear Force given Rotation due to Shear on Arch Dam equation looks like.

45.0947 = 35 \cdot \frac{10.2 \cdot 1.2}{9.5}

45.0947N = 35rad \cdot \frac{10.2N/m² \cdot 1.2m}{9.5}

45.0947 = 35 \cdot \frac{10.2 \cdot 1.2}{9.5}

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Shear Force given Rotation due to Shear on Arch Dam Solution

Follow our step by step solution on how to calculate Shear Force given Rotation due to Shear on Arch Dam?

FIRST Step Consider the formula

F s = Φ \cdot \frac{E \cdot t}{K 5}

Next Step Substitute values of Variables

∴

F s = 35rad \cdot \frac{10.2N/m² \cdot 1.2m}{9.5}

Next Step Convert Units

∴

F s = 35rad \cdot \frac{10.2Pa \cdot 1.2m}{9.5}

Next Step Prepare to Evaluate

∴

F s = 35 \cdot \frac{10.2 \cdot 1.2}{9.5}

Next Step Evaluate

∴

F s = 45.0947368421053N

LAST Step Rounding Answer

∴

F s = 45.0947N

Shear Force given Rotation due to Shear on Arch Dam Formula Elements

Variables

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force

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

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

Other Formulas to find Shear Force

Go Shear Force given Deflection due to Shear on Arch Dam

F s = δ \cdot \frac{E}{K 3}

Other formulas in Arch Dams category

Go Radius to centerline given Thrust at Abutments of Arch Dam

r = \frac{\frac{P - F \cdot \cos (θ)}{1 - \cos (θ)}}{P v}

Go Angle between Crown and Abutments given Thrust at Abutments of Arch Dam

θ = a \cos (\frac{P - P v \cdot r}{- P v \cdot r + F})

Go Intrados Stresses on Arch Dam

S = (\frac{F}{t}) + (6 \cdot \frac{M t}{t^{2}})

Go Extrados Stresses on Arch Dam

S = (\frac{F}{t}) - (6 \cdot \frac{M t}{t^{2}})

How to Evaluate Shear Force given Rotation due to Shear on Arch Dam?

Shear Force given Rotation due to Shear on Arch Dam evaluator uses Shear Force = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5 to evaluate the Shear Force, Shear Force given Rotation due to Shear on Arch Dam formula is defined as force acting along member or along abutment of dam. Shear Force is denoted by F_s symbol.

How to evaluate Shear Force given Rotation due to Shear on Arch Dam using this online evaluator? To use this online evaluator for Shear Force given Rotation due to Shear on Arch Dam, enter Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Constant K5 (K₅) and hit the calculate button.

FAQs on Shear Force given Rotation due to Shear on Arch Dam

What is the formula to find Shear Force given Rotation due to Shear on Arch Dam?

The formula of Shear Force given Rotation due to Shear on Arch Dam is expressed as Shear Force = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5. Here is an example- 45.09474 = 35*(10.2*1.2)/9.5.

How to calculate Shear Force given Rotation due to Shear on Arch Dam?

With Angle of Rotation (Φ), Elastic Modulus of Rock (E), Horizontal Thickness of an Arch (t) & Constant K5 (K₅) we can find Shear Force given Rotation due to Shear on Arch Dam using the formula - Shear Force = Angle of Rotation*(Elastic Modulus of Rock*Horizontal Thickness of an Arch)/Constant K5.

What are the other ways to Calculate Shear Force?

Here are the different ways to Calculate Shear Force-

Shear Force=Deflection due to Moments on Arch Dam*Elastic Modulus of Rock/Constant K3

Can the Shear Force given Rotation due to Shear on Arch Dam be negative?

Yes, the Shear Force given Rotation due to Shear on Arch Dam, measured in Force can be negative.

Which unit is used to measure Shear Force given Rotation due to Shear on Arch Dam?

Shear Force given Rotation due to Shear on Arch Dam is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Shear Force given Rotation due to Shear on Arch Dam can be measured.

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Shear Force given Rotation due to Shear on Arch Dam Formula

​GoShear Force given Deflection due to Shear on Arch Dam Formula

Shear Force given Rotation due to Shear on Arch Dam Example

Shear Force given Rotation due to Shear on Arch Dam Solution

Shear Force given Rotation due to Shear on Arch Dam Formula Elements

Other Formulas to find Shear Force

Other formulas in Arch Dams category

How to Evaluate Shear Force given Rotation due to Shear on Arch Dam?

FAQs on Shear Force given Rotation due to Shear on Arch Dam

Variable Name

GoShear Force given Deflection due to Shear on Arch Dam Formula