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Thrust given Extrados Stresses on Arch Dam Formula

GoThrust at Crown of Arch Dam Formula

GoThrust at Crown of Arch Dam given Moment at Abutments Formula

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Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments. Check FAQs

F = S \cdot T b + 6 \cdot \frac{M t}{{T b}^{2}}

F - Thrust of Abutments?S - Intrados Stresses?T_b - Base Thickness?M_t - Moment acting on Arch Dam?

Thrust given Extrados Stresses on Arch Dam Example

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Here is how the Thrust given Extrados Stresses on Arch Dam equation looks like with Values.

Here is how the Thrust given Extrados Stresses on Arch Dam equation looks like with Units.

Here is how the Thrust given Extrados Stresses on Arch Dam equation looks like.

193.8161 = 250 \cdot 1.3 + 6 \cdot \frac{54.5}{{1.3}^{2}}

193.8161N = 250N/m² \cdot 1.3m + 6 \cdot \frac{54.5N*m}{{1.3m}^{2}}

193.8161 = 250 \cdot 1.3 + 6 \cdot \frac{54.5}{{1.3}^{2}}

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Thrust given Extrados Stresses on Arch Dam Solution

Follow our step by step solution on how to calculate Thrust given Extrados Stresses on Arch Dam?

FIRST Step Consider the formula

F = S \cdot T b + 6 \cdot \frac{M t}{{T b}^{2}}

Next Step Substitute values of Variables

∴

F = 250N/m² \cdot 1.3m + 6 \cdot \frac{54.5N*m}{{1.3m}^{2}}

Next Step Convert Units

∴

F = 0.25kN/m² \cdot 1.3m + 6 \cdot \frac{54.5J}{{1.3m}^{2}}

Next Step Prepare to Evaluate

∴

F = 0.25 \cdot 1.3 + 6 \cdot \frac{54.5}{{1.3}^{2}}

Next Step Evaluate

∴

F = 193.816124260355N

LAST Step Rounding Answer

∴

F = 193.8161N

Thrust given Extrados Stresses on Arch Dam Formula Elements

Variables

Thrust of Abutments

Thrust of Abutments refers to the horizontal force exerted by an arch, vault, or similar structure against its supporting abutments.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Thrust of Abutments

Intrados Stresses

Intrados Stresses is defined as the stresses on the inner wall of the Arch Dam.

Symbol: S

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Intrados Stresses

Base Thickness

Base Thickness is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis or centerline crest of the dam.

Symbol: T_b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Base Thickness

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 Thrust of Abutments

Go Thrust at Crown of Arch Dam

F = (p \cdot r) \cdot (1 - (2 \cdot θ \cdot \frac{\sin (θ \cdot \frac{{(\frac{T b}{r})}^{2}}{12})}{D}))

Go Thrust at Crown of Arch Dam given Moment at Abutments

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

Go Thrust given Intrados Stresses on Arch Dam

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

Go Thrust given Deflection due to Thrust on Arch Dam

F = δ \cdot \frac{E}{K 2}

Other formulas in Thrust on Arch Dam category

Go Thrust at Abutments of Arch Dam

P = P v \cdot r - (P v \cdot r - F) \cdot \cos (θ)

How to Evaluate Thrust given Extrados Stresses on Arch Dam?

Thrust given Extrados Stresses on Arch Dam evaluator uses Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2) to evaluate the Thrust of Abutments, Thrust given Extrados Stresses on Arch Dam is the force exerted on an arch dam due to the extrados stresses, which are the tensile forces acting on the outer surface of the dam. These forces are caused by the weight of the dam and the water pressure it contains. Thrust of Abutments is denoted by F symbol.

How to evaluate Thrust given Extrados Stresses on Arch Dam using this online evaluator? To use this online evaluator for Thrust given Extrados Stresses on Arch Dam, enter Intrados Stresses (S), Base Thickness (T_b) & Moment acting on Arch Dam (M_t) and hit the calculate button.

FAQs on Thrust given Extrados Stresses on Arch Dam

What is the formula to find Thrust given Extrados Stresses on Arch Dam?

The formula of Thrust given Extrados Stresses on Arch Dam is expressed as Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2). Here is an example- 193.8161 = 250*1.3+6*54.5/(1.3^2).

How to calculate Thrust given Extrados Stresses on Arch Dam?

With Intrados Stresses (S), Base Thickness (T_b) & Moment acting on Arch Dam (M_t) we can find Thrust given Extrados Stresses on Arch Dam using the formula - Thrust of Abutments = Intrados Stresses*Base Thickness+6*Moment acting on Arch Dam/(Base Thickness^2).

What are the other ways to Calculate Thrust of Abutments?

Here are the different ways to Calculate Thrust of Abutments-

Thrust of Abutments=(Normal Radial Pressure*Radius to Center Line of Arch)*(1-(2*Theta*sin(Theta*((Base Thickness/Radius to Center Line of Arch)^2)/12)/Diameter))
Thrust of Abutments=Moment acting on Arch Dam/(Radius to Center Line of Arch*(sin(Theta)/(Theta-(cos(Theta)))))+Normal Radial Pressure*Radius to Center Line of Arch
Thrust of Abutments=Intrados Stresses*Base Thickness-6*Moment acting on Arch Dam/Base Thickness

Can the Thrust given Extrados Stresses on Arch Dam be negative?

Yes, the Thrust given Extrados Stresses on Arch Dam, measured in Force can be negative.

Which unit is used to measure Thrust given Extrados Stresses on Arch Dam?

Thrust given Extrados Stresses 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 Thrust given Extrados Stresses on Arch Dam can be measured.

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Thrust given Extrados Stresses on Arch Dam Formula

​GoThrust at Crown of Arch Dam Formula

​GoThrust at Crown of Arch Dam given Moment at Abutments Formula

Thrust given Extrados Stresses on Arch Dam Example

Thrust given Extrados Stresses on Arch Dam Solution

Thrust given Extrados Stresses on Arch Dam Formula Elements

Other Formulas to find Thrust of Abutments

Other formulas in Thrust on Arch Dam category

How to Evaluate Thrust given Extrados Stresses on Arch Dam?

FAQs on Thrust given Extrados Stresses on Arch Dam

Variable Name

GoThrust at Crown of Arch Dam Formula

GoThrust at Crown of Arch Dam given Moment at Abutments Formula