Question

Which one of the following correctly represents the dry unit weight of a soil sample which has a bulk unit weight of ${\gamma }_t$ at a moisture content of W%?

• A. $\frac{w{\gamma }_t}{100}$
• B. ${\gamma }_t(1+\frac{w}{100})$
• C. ${\gamma }_t\left(\frac{100}{100+w}\right)$
• D. $\frac{{\gamma }_t(100-w)}{100}$

Answer 1

The correct option is C

${\gamma }_t\left(\frac{100}{100+w}\right)$

(c)

${\gamma }_d=\frac{{\gamma }_t}{(1+\frac{w}{100})}=\frac{100{\gamma }_t}{(100+w)}$