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Eccentricity for Vertical Normal Stress at Downstream Face Formula

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

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

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

Eccentricity for Vertical Normal Stress at Downstream Face Example

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Here is how the Eccentricity for Vertical Normal Stress at Downstream Face equation looks like with Values.

Here is how the Eccentricity for Vertical Normal Stress at Downstream Face equation looks like with Units.

Here is how the Eccentricity for Vertical Normal Stress at Downstream Face equation looks like.

19.7267 = (1 + (\frac{2.5}{\frac{15}{144 \cdot 2.2}})) \cdot \frac{2.2}{6}

19.7267 = (1 + (\frac{2.5Pa}{\frac{15N}{144 \cdot 2.2m}})) \cdot \frac{2.2m}{6}

19.7267 = (1 + (\frac{2.5}{\frac{15}{144 \cdot 2.2}})) \cdot \frac{2.2}{6}

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Eccentricity for Vertical Normal Stress at Downstream Face Solution

Follow our step by step solution on how to calculate Eccentricity for Vertical Normal Stress at Downstream Face?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e d = (1 + (\frac{2.5Pa}{\frac{15N}{144 \cdot 2.2m}})) \cdot \frac{2.2m}{6}

Next Step Prepare to Evaluate

∴

e d = (1 + (\frac{2.5}{\frac{15}{144 \cdot 2.2}})) \cdot \frac{2.2}{6}

Next Step Evaluate

∴

e d = 19.7266666666667

LAST Step Rounding Answer

∴

e d = 19.7267

Eccentricity for Vertical Normal Stress at Downstream Face Formula Elements

Variables

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

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

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 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}))}

How to Evaluate Eccentricity for Vertical Normal Stress at Downstream Face?

Eccentricity for Vertical Normal Stress at Downstream Face evaluator uses Eccentricity at Downstream = (1+(Vertical Stress at a Point/(Vertical Component of Force/(144*Thickness of Dam))))*Thickness of Dam/6 to evaluate the Eccentricity at Downstream, Eccentricity for Vertical Normal Stress at Downstream Face is defined as distance from the centroid. Eccentricity at Downstream is denoted by e_d symbol.

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

FAQs on Eccentricity for Vertical Normal Stress at Downstream Face

What is the formula to find Eccentricity for Vertical Normal Stress at Downstream Face?

The formula of Eccentricity for Vertical Normal Stress at Downstream Face is expressed as Eccentricity at Downstream = (1+(Vertical Stress at a Point/(Vertical Component of Force/(144*Thickness of Dam))))*Thickness of Dam/6. Here is an example- 19.72667 = (1+(2.5/(15/(144*2.2))))*2.2/6.

How to calculate Eccentricity for Vertical Normal Stress at Downstream Face?

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

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Eccentricity for Vertical Normal Stress at Downstream Face Formula

Eccentricity for Vertical Normal Stress at Downstream Face Example

Eccentricity for Vertical Normal Stress at Downstream Face Solution

Eccentricity for Vertical Normal Stress at Downstream Face Formula Elements

Other formulas in Gravity Dam category

How to Evaluate Eccentricity for Vertical Normal Stress at Downstream Face?

FAQs on Eccentricity for Vertical Normal Stress at Downstream Face

Variable Name