Dry Unit Weight of Soil given Relative Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight)))
γdry = ((γmin*γmax)/(γmax-RD*(γmax-γmin)))
This formula uses 4 Variables
Variables Used
Dry Unit Weight - (Measured in Kilonewton per Cubic Meter) - Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.
Minimum Unit Weight - (Measured in Kilonewton per Cubic Meter) - Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil.
Maximum Unit Weight - (Measured in Kilonewton per Cubic Meter) - Maximum Unit Weight of soil is ratio of weight of soil to minimum volume of soil.
Relative Density in Soil Mechanics - Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object.
STEP 1: Convert Input(s) to Base Unit
Minimum Unit Weight: 5 Kilonewton per Cubic Meter --> 5 Kilonewton per Cubic Meter No Conversion Required
Maximum Unit Weight: 10 Kilonewton per Cubic Meter --> 10 Kilonewton per Cubic Meter No Conversion Required
Relative Density in Soil Mechanics: 0.67 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γdry = ((γminmax)/(γmax-RD*(γmaxmin))) --> ((5*10)/(10-0.67*(10-5)))
Evaluating ... ...
γdry = 7.5187969924812
STEP 3: Convert Result to Output's Unit
7518.7969924812 Newton per Cubic Meter -->7.5187969924812 Kilonewton per Cubic Meter (Check conversion ​here)
FINAL ANSWER
7.5187969924812 7.518797 Kilonewton per Cubic Meter <-- Dry Unit Weight
(Calculation completed in 00.008 seconds)

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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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Soil Origin and Its Properties Calculators

Relative Density of Cohesionless Soil given Unit Weight of Soil
​ LaTeX ​ Go Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight))
Relative Density of Cohesionless Soil given Void Ratio
​ LaTeX ​ Go Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio))
Maximum Void Ratio of Soil given Relative Density
​ LaTeX ​ Go Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density)
Minimum Void Ratio of Soil given Relative Density
​ LaTeX ​ Go Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density))

Dry Unit Weight of Soil given Relative Density Formula

​LaTeX ​Go
Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight)))
γdry = ((γmin*γmax)/(γmax-RD*(γmax-γmin)))

What is Dry Unit Weight of Soil?

The weight of soil solids per unit of total volume of soil mass. Also called unit dry weight.Dry unit weight, which is the unit weight of a soil when all void spaces of the soil are completely filled with air, with no water.

How to Calculate Dry Unit Weight of Soil given Relative Density?

Dry Unit Weight of Soil given Relative Density calculator uses Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight))) to calculate the Dry Unit Weight, The Dry Unit Weight of Soil given Relative Density is defined as the unit weight of a soil when all void spaces of the soil are completely filled with air, with no water. Dry Unit Weight is denoted by γdry symbol.

How to calculate Dry Unit Weight of Soil given Relative Density using this online calculator? To use this online calculator for Dry Unit Weight of Soil given Relative Density, enter Minimum Unit Weight min), Maximum Unit Weight max) & Relative Density in Soil Mechanics (RD) and hit the calculate button. Here is how the Dry Unit Weight of Soil given Relative Density calculation can be explained with given input values -> 0.007519 = ((5000*10000)/(10000-0.67*(10000-5000))).

FAQ

What is Dry Unit Weight of Soil given Relative Density?
The Dry Unit Weight of Soil given Relative Density is defined as the unit weight of a soil when all void spaces of the soil are completely filled with air, with no water and is represented as γdry = ((γminmax)/(γmax-RD*(γmaxmin))) or Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight))). Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil, Maximum Unit Weight of soil is ratio of weight of soil to minimum volume of soil & Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object.
How to calculate Dry Unit Weight of Soil given Relative Density?
The Dry Unit Weight of Soil given Relative Density is defined as the unit weight of a soil when all void spaces of the soil are completely filled with air, with no water is calculated using Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight))). To calculate Dry Unit Weight of Soil given Relative Density, you need Minimum Unit Weight min), Maximum Unit Weight max) & Relative Density in Soil Mechanics (RD). With our tool, you need to enter the respective value for Minimum Unit Weight, Maximum Unit Weight & Relative Density in Soil Mechanics 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 Dry Unit Weight?
In this formula, Dry Unit Weight uses Minimum Unit Weight, Maximum Unit Weight & Relative Density in Soil Mechanics. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Dry Unit Weight = ((Unit Weight of Water*Specific Gravity of Soil*Degree of Saturation)/(1+(Water Content of Soil from Pycnometer*Specific Gravity of Soil)))
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