Following properties are found for a sandy soil: Void ratio at the loosest state = 1.2, Void ratio at the densest state = 0.4. Which one of the following correctly represents the relative density of a sample prepared with a void ratio of 1.0?
- A12.5%
- B25%Correct
- C47.5%
- D55%
Solution
Concept
Relative density
Formula
Dr = (emax − e)/(emax − emin)
Step-by-step solution
1. Dr = (1.2 − 1.0)/(1.2 − 0.4) = 0.2/0.8 = 0.25 = 25%.
Explanation
Dr = (1.2 − 1.0)/(1.2 − 0.4) = 0.2/0.8 = 0.25 = 25%.
Shortcut
Dr = (emax − e)/(emax − emin).
Correct answer: B) 25%