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Vertical Normal Stress at Upstream Face Formula

GoVertical Normal Stress at Downstream Face Formula

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

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

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

Vertical Normal Stress at Upstream Face Example

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Here is how the Vertical Normal Stress at Upstream Face equation looks like with Values.

Here is how the Vertical Normal Stress at Upstream Face equation looks like with Units.

Here is how the Vertical Normal Stress at Upstream Face equation looks like.

2.5009 = (\frac{15}{144 \cdot 2.2}) \cdot (1 - (\frac{6 \cdot -19}{2.2}))

2.5009Pa = (\frac{15N}{144 \cdot 2.2m}) \cdot (1 - (\frac{6 \cdot -19}{2.2m}))

2.5009 = (\frac{15}{144 \cdot 2.2}) \cdot (1 - (\frac{6 \cdot -19}{2.2}))

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Vertical Normal Stress at Upstream Face Solution

Follow our step by step solution on how to calculate Vertical Normal Stress at Upstream Face?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ z = (\frac{15N}{144 \cdot 2.2m}) \cdot (1 - (\frac{6 \cdot -19}{2.2m}))

Next Step Prepare to Evaluate

∴

σ z = (\frac{15}{144 \cdot 2.2}) \cdot (1 - (\frac{6 \cdot -19}{2.2}))

Next Step Evaluate

∴

σ z = 2.5008608815427Pa

LAST Step Rounding Answer

∴

σ z = 2.5009Pa

Vertical Normal Stress at Upstream Face Formula Elements

Variables

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

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

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 Upstream

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

Symbol: e_u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Eccentricity at Upstream

Other Formulas to find Vertical Stress at a Point

Go Vertical Normal Stress at Downstream Face

σ z = (\frac{F v}{144 \cdot T}) \cdot (1 + (\frac{6 \cdot e d}{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 Total Vertical Force given Vertical Normal Stress at Downstream Face

F v = \frac{σ z}{(\frac{1}{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 Vertical Normal Stress at Upstream Face?

Vertical Normal Stress at Upstream Face evaluator uses Vertical Stress at a Point = (Vertical Component of Force/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam)) to evaluate the Vertical Stress at a Point, Vertical Normal Stress at Upstream Face formula is defined as the minimum bearing capacity of the soil in tension. Vertical Stress at a Point is denoted by σ_z symbol.

How to evaluate Vertical Normal Stress at Upstream Face using this online evaluator? To use this online evaluator for Vertical Normal Stress at Upstream Face, enter Vertical Component of Force (F_v), Thickness of Dam (T) & Eccentricity at Upstream (e_u) and hit the calculate button.

FAQs on Vertical Normal Stress at Upstream Face

What is the formula to find Vertical Normal Stress at Upstream Face?

The formula of Vertical Normal Stress at Upstream Face is expressed as Vertical Stress at a Point = (Vertical Component of Force/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam)). Here is an example- -2.406164 = (15/(144*2.2))*(1-((6*(-19))/2.2)).

How to calculate Vertical Normal Stress at Upstream Face?

With Vertical Component of Force (F_v), Thickness of Dam (T) & Eccentricity at Upstream (e_u) we can find Vertical Normal Stress at Upstream Face using the formula - Vertical Stress at a Point = (Vertical Component of Force/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam)).

What are the other ways to Calculate Vertical Stress at a Point?

Here are the different ways to Calculate Vertical Stress at a Point-

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

Can the Vertical Normal Stress at Upstream Face be negative?

Yes, the Vertical Normal Stress at Upstream Face, measured in Pressure can be negative.

Which unit is used to measure Vertical Normal Stress at Upstream Face?

Vertical Normal Stress at Upstream Face is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Vertical Normal Stress at Upstream Face can be measured.

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Vertical Normal Stress at Upstream Face Formula

​GoVertical Normal Stress at Downstream Face Formula

Vertical Normal Stress at Upstream Face Example

Vertical Normal Stress at Upstream Face Solution

Vertical Normal Stress at Upstream Face Formula Elements

Other Formulas to find Vertical Stress at a Point

Other formulas in Gravity Dam category

How to Evaluate Vertical Normal Stress at Upstream Face?

FAQs on Vertical Normal Stress at Upstream Face

Variable Name

GoVertical Normal Stress at Downstream Face Formula