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Unit Weight of Water given Effective Normal Stress Formula

GoUnit Weight of Water given Upward Force due to Seepage Water Formula

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Unit Weight of Water is mass per unit of water. Check FAQs

γ water = γ saturated - (\frac{σ'}{z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}})

γ_water - Unit Weight of Water?γ_saturated - Saturated Unit Weight of Soil?σ^' - Effective Normal Stress in Soil Mechanics?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Unit Weight of Water given Effective Normal Stress Example

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Here is how the Unit Weight of Water given Effective Normal Stress equation looks like with Values.

Here is how the Unit Weight of Water given Effective Normal Stress equation looks like with Units.

Here is how the Unit Weight of Water given Effective Normal Stress equation looks like.

3.6635 = 11.89 - (\frac{24.67}{3 \cdot {(\cos (\frac{64 \cdot 3.1416}{180}))}^{2}})

3.6635kN/m³ = 11.89kN/m³ - (\frac{24.67kN/m²}{3m \cdot {(\cos (\frac{64° \cdot 3.1416}{180}))}^{2}})

3.6635 = 11.89 - (\frac{24.67}{3 \cdot {(\cos (\frac{64 \cdot 3.1416}{180}))}^{2}})

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Unit Weight of Water given Effective Normal Stress Solution

Follow our step by step solution on how to calculate Unit Weight of Water given Effective Normal Stress?

FIRST Step Consider the formula

γ water = γ saturated - (\frac{σ'}{z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}})

Next Step Substitute values of Variables

∴

γ water = 11.89kN/m³ - (\frac{24.67kN/m²}{3m \cdot {(\cos (\frac{64° \cdot π}{180}))}^{2}})

Next Step Substitute values of Constants

∴

γ water = 11.89kN/m³ - (\frac{24.67kN/m²}{3m \cdot {(\cos (\frac{64° \cdot 3.1416}{180}))}^{2}})

Next Step Convert Units

∴

γ water = 11890N/m³ - (\frac{24670Pa}{3m \cdot {(\cos (\frac{1.117rad \cdot 3.1416}{180}))}^{2}})

Next Step Prepare to Evaluate

∴

γ water = 11890 - (\frac{24670}{3 \cdot {(\cos (\frac{1.117 \cdot 3.1416}{180}))}^{2}})

Next Step Evaluate

∴

γ water = 3663.54039031203N/m³

Next Step Convert to Output's Unit

∴

γ water = 3.66354039031203kN/m³

LAST Step Rounding Answer

∴

γ water = 3.6635kN/m³

Unit Weight of Water given Effective Normal Stress Formula Elements

Variables

Constants

Functions

Unit Weight of Water

Unit Weight of Water is mass per unit of water.

Symbol: γ_water

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water

Saturated Unit Weight of Soil

Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.

Symbol: γ_saturated

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Saturated Unit Weight of Soil

Effective Normal Stress in Soil Mechanics

Effective Normal Stress in Soil Mechanics is related to total stress and pore pressure.

Symbol: σ^'

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Normal Stress in Soil Mechanics

Depth of Prism

Depth of Prism is the length of prism along z direction.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Prism

Angle of Inclination to Horizontal in Soil

Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination to Horizontal in Soil

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Unit Weight of Water

Go Unit Weight of Water given Upward Force due to Seepage Water

γ water = \frac{F u}{z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}}

Other formulas in Steady State Seepage Analysis Along The Slopes category

Go Weight of Soil Prism given Saturated Unit Weight

W prism = (γ saturated \cdot z \cdot b \cdot \cos (\frac{i \cdot π}{180}))

Go Inclined Length of Prism given Saturated Unit Weight

b = \frac{W prism}{γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180})}

Go Vertical Stress on Prism given Saturated Unit Weight

σ zkp = (γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180}))

Go Normal Stress Component given Saturated Unit Weight

σ n = (γ saturated \cdot z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2})

How to Evaluate Unit Weight of Water given Effective Normal Stress?

Unit Weight of Water given Effective Normal Stress evaluator uses Unit Weight of Water = Saturated Unit Weight of Soil-(Effective Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)) to evaluate the Unit Weight of Water, The Unit Weight of Water given Effective Normal Stress is defined as the value of unit weight of water when we have prior information of other parameters used. Unit Weight of Water is denoted by γ_water symbol.

How to evaluate Unit Weight of Water given Effective Normal Stress using this online evaluator? To use this online evaluator for Unit Weight of Water given Effective Normal Stress, enter Saturated Unit Weight of Soil (γ_saturated), Effective Normal Stress in Soil Mechanics (σ^'), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Unit Weight of Water given Effective Normal Stress

What is the formula to find Unit Weight of Water given Effective Normal Stress?

The formula of Unit Weight of Water given Effective Normal Stress is expressed as Unit Weight of Water = Saturated Unit Weight of Soil-(Effective Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)). Here is an example- 0.009774 = 11890-(24670/(3*(cos((1.11701072127616*pi)/180))^2)).

How to calculate Unit Weight of Water given Effective Normal Stress?

With Saturated Unit Weight of Soil (γ_saturated), Effective Normal Stress in Soil Mechanics (σ^'), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Unit Weight of Water given Effective Normal Stress using the formula - Unit Weight of Water = Saturated Unit Weight of Soil-(Effective Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

What are the other ways to Calculate Unit Weight of Water?

Here are the different ways to Calculate Unit Weight of Water-

Unit Weight of Water=Upward Force in Seepage Analysis/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Can the Unit Weight of Water given Effective Normal Stress be negative?

No, the Unit Weight of Water given Effective Normal Stress, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Water given Effective Normal Stress?

Unit Weight of Water given Effective Normal Stress is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Water given Effective Normal Stress can be measured.

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Unit Weight of Water given Effective Normal Stress Formula

​GoUnit Weight of Water given Upward Force due to Seepage Water Formula

Unit Weight of Water given Effective Normal Stress Example

Unit Weight of Water given Effective Normal Stress Solution

Unit Weight of Water given Effective Normal Stress Formula Elements

Other Formulas to find Unit Weight of Water

Other formulas in Steady State Seepage Analysis Along The Slopes category

How to Evaluate Unit Weight of Water given Effective Normal Stress?

FAQs on Unit Weight of Water given Effective Normal Stress

Variable Name

GoUnit Weight of Water given Upward Force due to Seepage Water Formula