Eg:
Calculate the relative density of a soil sample for the following data.
The actual void ratio of soil is 0.58, emax =1 & emin = 0.43.
Given data:
Void ratio = e = 0.58
Maximum void ratio = emax =1
Minimum void ratio = emin = 0.42
Note:
Void ratio of cohesionless soil in its loosest state = emax
Void ratio of cohesionless soil in its densest state = emin
Void ratio of cohesionless soil in its natural state = e
To find:
Relative density = Dr = Id?
Relative density is also referred to as density index = Id.
Calculation:
Relative density is calculated by the formula
Dr = [ ( emax - e ) ➗ ( emax - emin )] x 100
= [ ( 1 - 0.58 ) ➗ ( 1 - 0.43 )] x 100
= [ 0.42 ➗ 0.57 ] x 100
Dr = 0.73 x 100 = 73
The relative density= Dr = 73
Thank you for going through these calculation steps❤. Have a good day 😄.
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