FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Extrados Stresses on Arch Dam Formula

GoIntrados Stresses on Arch Dam Formula

Fx Copy

LaTeX Copy

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

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

S - Intrados Stresses?F - Thrust of Abutments?t - Horizontal Thickness of an Arch?M_t - Moment acting on Arch Dam?

Extrados Stresses on Arch Dam Example

With values

With units

Only example

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

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

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

-174.125 = (\frac{63.55}{1.2}) - (6 \cdot \frac{54.5}{{1.2}^{2}})

-174.125N/m² = (\frac{63.55N}{1.2m}) - (6 \cdot \frac{54.5N*m}{{1.2m}^{2}})

-174.125 = (\frac{63.55}{1.2}) - (6 \cdot \frac{54.5}{{1.2}^{2}})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Extrados Stresses on Arch Dam

Extrados Stresses on Arch Dam Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = (\frac{63.55N}{1.2m}) - (6 \cdot \frac{54.5N*m}{{1.2m}^{2}})

Next Step Convert Units

∴

S = (\frac{63.55N}{1.2m}) - (6 \cdot \frac{54.5J}{{1.2m}^{2}})

Next Step Prepare to Evaluate

∴

S = (\frac{63.55}{1.2}) - (6 \cdot \frac{54.5}{{1.2}^{2}})

Next Step Evaluate

∴

S = -174.125Pa

LAST Step Convert to Output's Unit

∴

S = -174.125N/m²

Extrados Stresses on Arch Dam Formula Elements

Variables

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

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

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 Intrados Stresses

Go Intrados Stresses on Arch Dam

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

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 Rotation due to Moment on Arch Dam

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

Go Shear Force given Deflection due to Shear on Arch Dam

F s = δ \cdot \frac{E}{K 3}

How to Evaluate Extrados Stresses on Arch Dam?

Extrados Stresses on Arch Dam evaluator uses Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2)) to evaluate the Intrados Stresses, Extrados Stresses on Arch Dam is defined as stress on outer wall of arch dam, due to curvature of dam. Intrados Stresses is denoted by S symbol.

How to evaluate Extrados Stresses on Arch Dam using this online evaluator? To use this online evaluator for Extrados Stresses on Arch Dam, enter Thrust of Abutments (F), Horizontal Thickness of an Arch (t) & Moment acting on Arch Dam (M_t) and hit the calculate button.

FAQs on Extrados Stresses on Arch Dam

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

The formula of Extrados Stresses on Arch Dam is expressed as Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2)). Here is an example- -174.125 = (63.55/1.2)-(6*54.5/(1.2^2)).

How to calculate Extrados Stresses on Arch Dam?

With Thrust of Abutments (F), Horizontal Thickness of an Arch (t) & Moment acting on Arch Dam (M_t) we can find Extrados Stresses on Arch Dam using the formula - Intrados Stresses = (Thrust of Abutments/Horizontal Thickness of an Arch)-(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2)).

What are the other ways to Calculate Intrados Stresses?

Here are the different ways to Calculate Intrados Stresses-

Intrados Stresses=(Thrust of Abutments/Horizontal Thickness of an Arch)+(6*Moment acting on Arch Dam/(Horizontal Thickness of an Arch^2))

Can the Extrados Stresses on Arch Dam be negative?

Yes, the Extrados Stresses on Arch Dam, measured in Pressure can be negative.

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

Extrados Stresses 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 Extrados Stresses on Arch Dam can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Extrados Stresses on Arch Dam Formula

​GoIntrados Stresses on Arch Dam Formula

Extrados Stresses on Arch Dam Example

Extrados Stresses on Arch Dam Solution

Extrados Stresses on Arch Dam Formula Elements

Other Formulas to find Intrados Stresses

Other formulas in Arch Dams category

How to Evaluate Extrados Stresses on Arch Dam?

FAQs on Extrados Stresses on Arch Dam

Variable Name

GoIntrados Stresses on Arch Dam Formula