If a sand has Cc between 1 and 3, which of the following is required for it to be classified as SW?
- ACu > 6Correct
- BCu < 6
- CCu > 4
- DNone of these
Solution
Concept
Well-Graded Sand Classification
Formula
Cu = D60 / D10 and Cc = (D30)2 / (D10 × D60)
Step-by-step solution
1. Recall the criteria for Well-Graded Sand (SW): Coefficient of Uniformity (Cu) \> 6 and Coefficient of Curvature (Cc) between 1 and 3. 2. Check the given condition: Cc is already between 1 and 3. 3. Determine the remaining condition required for SW: Cu \> 6 (Option A).
Explanation
For a soil to be classified as well-graded sand (SW), it must meet two conditions: its coefficient of curvature (Cc) must be between 1 and 3, and its coefficient of uniformity (Cu) must be greater than 6. Since the question states that Cc is already between 1 and 3, the remaining requirement for SW classification is Cu > 6.
Shortcut
Remember SW = Sand Well-graded: Sand needs Cu > 6 (higher ratio than Gravel which needs Cu > 4). Both require 1 ≤ Cc ≤ 3. Memory trick: "Sand" has higher Cu requirement than Gravel (6 > 4).
Common mistake
Students often confuse the requirement for well-graded sand (SW, Cu > 6) with well-graded gravel (GW, Cu > 4) and mistakenly select option C (Cu > 4).
Correct answer: A) Cu > 6