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Saturated Unit Weight of Soil when Water Content is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio))
γsat = (((1+w)*Gs*γw)/(1+e))
This formula uses 4 Variables
Variables Used
Water content- The water content w of a soil sample represents the weight of free water contained in the sample expressed as a percentage of its dry weight.
Specific gravity of the soil- Specific gravity of the soil is an important property of soil being related to density.
Unit weight of water - Unit weight of water is the weight of watet per unit volume of a water. (Measured in Kilonewton per Cubic Meter)
Void ratio- The void ratio of a mixture is the ratio of the volume of voids to volume of solids.
STEP 1: Convert Input(s) to Base Unit
Water content: 0.3 --> No Conversion Required
Specific gravity of the soil: 2.65 --> No Conversion Required
Unit weight of water: 9.807 Kilonewton per Cubic Meter --> 0.009807 Newton per Cubic Meter (Check conversion here)
Void ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γsat = (((1+w)*Gs*γw)/(1+e)) --> (((1+0.3)*2.65*0.009807)/(1+0.3))
Evaluating ... ...
γsat = 0.02598855
STEP 3: Convert Result to Output's Unit
0.02598855 Newton per Cubic Meter -->25.98855 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
25.98855 Kilonewton per Cubic Meter <-- Saturated unit weight
(Calculation completed in 00.000 seconds)

10+ Relationships of Weights and Volumes in Soils Calculators

Saturated Unit Weight of Soil with Saturation 100 Percent
saturated_unit_weight = (((Specific gravity of the soil*Unit weight of water)+(Void ratio*Unit weight of water))/(1+Void ratio)) Go
Saturated Unit Weight of Soil when Water Content is Given
saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio)) Go
Water content when void ratio in terms of specific gravity is given
water_content = Void ratio*Degree of saturation/Specific gravity of the soil Go
Total weight of sample with respect to water content
total_weight = (Water content*Weight of solids/100)+Weight of solids Go
Total mass of soil when water content of soil with respect to its mass is given
total_mass = (Water content*Mass of solids/100)+Mass of solids Go
Dry mass of soil when water content of soil with respect to its mass is given
mass_of_solids = (Total mass of sand*100)/(Water content+100) Go
Water content when void ratio in terms of specific gravity for fully saturated soil is given
water_content = Void ratio/Specific gravity of the soil Go
Mass of water when water content with respect to mass of water is given
mass_of_water = Water content*Mass of solids/100 Go
Dry mass when water content with respect to mass of water is given
mass_of_solids = Mass of water*100/Water content Go
Volume of solids when density of solids is given
total_volume = Mass of solids/Density of solids Go

Saturated Unit Weight of Soil when Water Content is Given Formula

saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio))
γsat = (((1+w)*Gs*γw)/(1+e))

What is saturated unit weight of soil ?

Saturated unit weight is equal to the bulk density when the total voids is filled up with water.When the soil mass is saturated, its bulk density is called saturated density. Thus, saturated density is the ratio of the total soil mass of saturated sample to its total volume.

How to Calculate Saturated Unit Weight of Soil when Water Content is Given?

Saturated Unit Weight of Soil when Water Content is Given calculator uses saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio)) to calculate the Saturated unit weight, The Saturated Unit Weight of Soil when Water Content is Given formula is defined as the bulk density when the total voids is filled up with water. Saturated unit weight and is denoted by γsat symbol.

How to calculate Saturated Unit Weight of Soil when Water Content is Given using this online calculator? To use this online calculator for Saturated Unit Weight of Soil when Water Content is Given, enter Water content (w), Specific gravity of the soil (Gs), Unit weight of water w) and Void ratio (e) and hit the calculate button. Here is how the Saturated Unit Weight of Soil when Water Content is Given calculation can be explained with given input values -> 25.98855 = (((1+0.3)*2.65*0.009807)/(1+0.3)).

FAQ

What is Saturated Unit Weight of Soil when Water Content is Given?
The Saturated Unit Weight of Soil when Water Content is Given formula is defined as the bulk density when the total voids is filled up with water and is represented as γsat = (((1+w)*Gs*γw)/(1+e)) or saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio)). The water content w of a soil sample represents the weight of free water contained in the sample expressed as a percentage of its dry weight, Specific gravity of the soil is an important property of soil being related to density, Unit weight of water is the weight of watet per unit volume of a water and The void ratio of a mixture is the ratio of the volume of voids to volume of solids.
How to calculate Saturated Unit Weight of Soil when Water Content is Given?
The Saturated Unit Weight of Soil when Water Content is Given formula is defined as the bulk density when the total voids is filled up with water is calculated using saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio)). To calculate Saturated Unit Weight of Soil when Water Content is Given, you need Water content (w), Specific gravity of the soil (Gs), Unit weight of water w) and Void ratio (e). With our tool, you need to enter the respective value for Water content, Specific gravity of the soil, Unit weight of water and Void ratio 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 Saturated unit weight?
In this formula, Saturated unit weight uses Water content, Specific gravity of the soil, Unit weight of water and Void ratio. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • saturated_unit_weight = (((Specific gravity of the soil*Unit weight of water)+(Void ratio*Unit weight of water))/(1+Void ratio))
  • saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio))
  • total_weight = (Water content*Weight of solids/100)+Weight of solids
  • total_mass = (Water content*Mass of solids/100)+Mass of solids
  • mass_of_solids = (Total mass of sand*100)/(Water content+100)
  • mass_of_water = Water content*Mass of solids/100
  • mass_of_solids = Mass of water*100/Water content
  • total_volume = Mass of solids/Density of solids
  • water_content = Void ratio*Degree of saturation/Specific gravity of the soil
  • water_content = Void ratio/Specific gravity of the soil
Where is the Saturated Unit Weight of Soil when Water Content is Given calculator used?
Among many, Saturated Unit Weight of Soil when Water Content is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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