Unit Weight of Water given Effective Normal Stress Calculator

✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+10% -10%
✖Effective Normal Stress in Soil Mechanics is related to total stress and pore pressure.ⓘ Effective Normal Stress in Soil Mechanics [σ^']			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+10% -10%
✖Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [i]			+10% -10%

✖Unit Weight of Water is mass per unit of water.ⓘ Unit Weight of Water given Effective Normal Stress [γ_water]

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Formula

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Unit Weight of Water given Effective Normal Stress

Formula

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

Example

3.66354 kN/m³ = 11.89 kN/m³ - (\frac{24.67 kN/m²}{3 m \cdot {(\cos (\frac{64 ° \cdot π}{180}))}^{2}})

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Unit Weight of Water given Effective Normal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
γ_water = γ_saturated-(σ^'/(z*(cos((i*pi)/180))^2))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is mass per unit of water.
Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.
Effective Normal Stress in Soil Mechanics - (Measured in Pascal) - Effective Normal Stress in Soil Mechanics is related to total stress and pore pressure.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
Angle of Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Saturated Unit Weight of Soil: 11.89 Kilonewton per Cubic Meter --> 11890 Newton per Cubic Meter (Check conversion here)
Effective Normal Stress in Soil Mechanics: 24.67 Kilonewton per Square Meter --> 24670 Pascal (Check conversion here)
Depth of Prism: 3 Meter --> 3 Meter No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_water = γ_saturated-(σ^'/(z*(cos((i*pi)/180))^2)) --> 11890-(24670/(3*(cos((1.11701072127616*pi)/180))^2))

Evaluating ... ...

γ_water = 3663.54039031203

STEP 3: Convert Result to Output's Unit

3663.54039031203 Newton per Cubic Meter -->3.66354039031203 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

3.66354039031203 ≈ 3.66354 Kilonewton per Cubic Meter <-- Unit Weight of Water

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Seepage Analysis » Steady State Seepage Analysis Along The Slopes » Unit Weight of Water given Effective Normal Stress

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Steady State Seepage Analysis Along The Slopes Calculators

Inclined Length of Prism given Saturated Unit Weight

Go Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Weight of Soil Prism given Saturated Unit Weight

Go Weight of Prism in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Vertical Stress on Prism given Saturated Unit Weight

Go Vertical Stress at a Point in Kilopascal = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Normal Stress Component given Saturated Unit Weight

Go Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Unit Weight of Water given Effective Normal Stress Formula

What is Unit Weight of Water?

The specific weight, also known as the unit weight, is the weight per unit volume of a material. A commonly used value is the specific weight of water on Earth at 4°C, which is 9.807 kN/m3 or 62.43 lbf/ft3.

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

Unit Weight of Water given Effective Normal Stress calculator 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 calculate 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 calculate Unit Weight of Water given Effective Normal Stress using this online calculator? To use this online calculator 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. Here is how the Unit Weight of Water given Effective Normal Stress calculation can be explained with given input values -> 0.009774 = 11890-(24670/(3*(cos((1.11701072127616*pi)/180))^2)).

FAQ

What is Unit Weight of Water given Effective Normal Stress?

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 and is represented as γ_water = γ_saturated-(σ^'/(z*(cos((i*pi)/180))^2)) or 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)). Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume, Effective Normal Stress in Soil Mechanics is related to total stress and pore pressure, Depth of Prism is the length of prism along z direction & Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

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

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 is calculated using 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 calculate Unit Weight of Water given Effective Normal Stress, you need 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). With our tool, you need to enter the respective value for Saturated Unit Weight of Soil, Effective Normal Stress in Soil Mechanics, Depth of Prism & Angle of Inclination to Horizontal in Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Unit Weight of Water?

In this formula, Unit Weight of Water uses Saturated Unit Weight of Soil, Effective Normal Stress in Soil Mechanics, Depth of Prism & Angle of Inclination to Horizontal in Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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