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Total Vertical Force given Vertical Normal Stress at Downstream Face Formula

GoTotal Vertical Force for Vertical Normal Stress at Upstream Face Formula

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Vertical component of force is the resolved force acting along the vertical direction. Check FAQs

F v = \frac{σ z}{(\frac{1}{144 \cdot T}) \cdot (1 + (\frac{6 \cdot e d}{T}))}

F_v - Vertical Component of Force?σ_z - Vertical Stress at a Point?T - Thickness of Dam?e_d - Eccentricity at Downstream?

Total Vertical Force given Vertical Normal Stress at Downstream Face Example

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Here is how the Total Vertical Force given Vertical Normal Stress at Downstream Face equation looks like with Values.

Here is how the Total Vertical Force given Vertical Normal Stress at Downstream Face equation looks like with Units.

Here is how the Total Vertical Force given Vertical Normal Stress at Downstream Face equation looks like.

14.9948 = \frac{2.5}{(\frac{1}{144 \cdot 2.2}) \cdot (1 + (\frac{6 \cdot 19}{2.2}))}

14.9948N = \frac{2.5Pa}{(\frac{1}{144 \cdot 2.2m}) \cdot (1 + (\frac{6 \cdot 19}{2.2m}))}

14.9948 = \frac{2.5}{(\frac{1}{144 \cdot 2.2}) \cdot (1 + (\frac{6 \cdot 19}{2.2}))}

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Total Vertical Force given Vertical Normal Stress at Downstream Face Solution

Follow our step by step solution on how to calculate Total Vertical Force given Vertical Normal Stress at Downstream Face?

FIRST Step Consider the formula

F v = \frac{σ z}{(\frac{1}{144 \cdot T}) \cdot (1 + (\frac{6 \cdot e d}{T}))}

Next Step Substitute values of Variables

∴

F v = \frac{2.5Pa}{(\frac{1}{144 \cdot 2.2m}) \cdot (1 + (\frac{6 \cdot 19}{2.2m}))}

Next Step Prepare to Evaluate

∴

F v = \frac{2.5}{(\frac{1}{144 \cdot 2.2}) \cdot (1 + (\frac{6 \cdot 19}{2.2}))}

Next Step Evaluate

∴

F v = 14.9948364888124N

LAST Step Rounding Answer

∴

F v = 14.9948N

Total Vertical Force given Vertical Normal Stress at Downstream Face Formula Elements

Variables

Vertical Component of Force

Vertical component of force is the resolved force acting along the vertical direction.

Symbol: F_v

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Vertical Component of Force

Vertical Stress at a Point

Vertical Stress at a Point is the stress acting perpendicular to the surface.

Symbol: σ_z

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Vertical Stress at a Point

Thickness of Dam

Thickness of Dam is the measurement or extent of dam from side to side.

Symbol: T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Dam

Eccentricity at Downstream

Eccentricity at Downstream is the distance from point of application of resultant to center of base.

Symbol: e_d

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Eccentricity at Downstream

Other Formulas to find Vertical Component of Force

Go Total Vertical Force for Vertical Normal Stress at Upstream Face

F v = \frac{σ z}{(\frac{1}{144 \cdot T}) \cdot (1 - (\frac{6 \cdot e u}{T}))}

Other formulas in Gravity Dam category

Go Water Pressure in Gravity Dam

P W = 0.5 \cdot ρ Water \cdot ({H S}^{2})

Go Density of Water given Water Pressure in Gravity Dam

ρ Water = \frac{P W}{0.5} \cdot ({H S}^{2})

Go Vertical Normal Stress at Downstream Face

σ z = (\frac{F v}{144 \cdot T}) \cdot (1 + (\frac{6 \cdot e d}{T}))

Go Eccentricity for Vertical Normal Stress at Downstream Face

e d = (1 + (\frac{σ z}{\frac{F v}{144 \cdot T}})) \cdot \frac{T}{6}

How to Evaluate Total Vertical Force given Vertical Normal Stress at Downstream Face?

Total Vertical Force given Vertical Normal Stress at Downstream Face evaluator uses Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1+((6*Eccentricity at Downstream)/Thickness of Dam))) to evaluate the Vertical Component of Force, Total Vertical Force given Vertical Normal Stress at Downstream Face is defined as net force in vertical direction. Vertical Component of Force is denoted by F_v symbol.

How to evaluate Total Vertical Force given Vertical Normal Stress at Downstream Face using this online evaluator? To use this online evaluator for Total Vertical Force given Vertical Normal Stress at Downstream Face, enter Vertical Stress at a Point (σ_z), Thickness of Dam (T) & Eccentricity at Downstream (e_d) and hit the calculate button.

FAQs on Total Vertical Force given Vertical Normal Stress at Downstream Face

What is the formula to find Total Vertical Force given Vertical Normal Stress at Downstream Face?

The formula of Total Vertical Force given Vertical Normal Stress at Downstream Face is expressed as Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1+((6*Eccentricity at Downstream)/Thickness of Dam))). Here is an example- 14.99484 = 2.5/((1/(144*2.2))*(1+((6*19)/2.2))).

How to calculate Total Vertical Force given Vertical Normal Stress at Downstream Face?

With Vertical Stress at a Point (σ_z), Thickness of Dam (T) & Eccentricity at Downstream (e_d) we can find Total Vertical Force given Vertical Normal Stress at Downstream Face using the formula - Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1+((6*Eccentricity at Downstream)/Thickness of Dam))).

What are the other ways to Calculate Vertical Component of Force?

Here are the different ways to Calculate Vertical Component of Force-

Vertical Component of Force=Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam)))

Can the Total Vertical Force given Vertical Normal Stress at Downstream Face be negative?

Yes, the Total Vertical Force given Vertical Normal Stress at Downstream Face, measured in Force can be negative.

Which unit is used to measure Total Vertical Force given Vertical Normal Stress at Downstream Face?

Total Vertical Force given Vertical Normal Stress at Downstream Face is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Vertical Force given Vertical Normal Stress at Downstream Face can be measured.

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Total Vertical Force given Vertical Normal Stress at Downstream Face Formula

​GoTotal Vertical Force for Vertical Normal Stress at Upstream Face Formula

Total Vertical Force given Vertical Normal Stress at Downstream Face Example

Total Vertical Force given Vertical Normal Stress at Downstream Face Solution

Total Vertical Force given Vertical Normal Stress at Downstream Face Formula Elements

Other Formulas to find Vertical Component of Force

Other formulas in Gravity Dam category

How to Evaluate Total Vertical Force given Vertical Normal Stress at Downstream Face?

FAQs on Total Vertical Force given Vertical Normal Stress at Downstream Face

Variable Name

GoTotal Vertical Force for Vertical Normal Stress at Upstream Face Formula