Solution :
Given :
The number of blows is given as :
0 - 6 inch = 4 blows
6 - 12 inch = 6 blows
12 - 18 inch = 6 blows
The vertical effective stress [tex]$=1500 \ lb/ft^2$[/tex]
[tex]$= 71.82 \ kN/m^2$[/tex]
[tex]$ \sim 72 \ kN/m^2 $[/tex]
Now,
[tex]$N_1=N_0 \left(\frac{350}{\bar{\sigma}+70} \right)$[/tex]
[tex]$N_1 = $[/tex] corrected N - value of overburden
[tex]$\bar{\sigma}=$[/tex] effective stress at level of test
0 - 6 inch, [tex]$N_1=4 \left(\frac{350}{72+70} \right)$[/tex]
= 9.86
6 - 12 inch, [tex]$N_1=6 \left(\frac{350}{72+70} \right) $[/tex]
= 14.8
12 - 18 inch, [tex]$N_1=6 \left(\frac{350}{72+70} \right) $[/tex]
= 14.8
[tex]$N_{avg}=\frac{9.86+14.8+14.8}{3}$[/tex]
= 13.14
= 13