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
![$=1500 \ lb/ft^2$](https://img.qammunity.org/2022/formulas/engineering/college/kzjeuw21zpqu6ajghaasoj0au7kwz0avoh.png)
![$= 71.82 \ kN/m^2$](https://img.qammunity.org/2022/formulas/engineering/college/rd1cex2s3jteyp3n2zb00lbhc9veaewdv5.png)
![$ \sim 72 \ kN/m^2 $](https://img.qammunity.org/2022/formulas/engineering/college/hok4es1f1th8urfg40ut3mzuvysuab37l2.png)
Now,
![$N_1=N_0 \left(\frac{350}{\bar{\sigma}+70} \right)$](https://img.qammunity.org/2022/formulas/engineering/college/zabb61zx9qjxujg83iqi1p3k9iwre7e4ud.png)
corrected N - value of overburden
effective stress at level of test
0 - 6 inch,
![$N_1=4 \left((350)/(72+70) \right)$](https://img.qammunity.org/2022/formulas/engineering/college/mbp3gcgk3ilhiwmyi3sm0y872exl3kjuu2.png)
= 9.86
6 - 12 inch,
![$N_1=6 \left((350)/(72+70) \right) $](https://img.qammunity.org/2022/formulas/engineering/college/n0v4d1bqbk8d357a43t3828ukg54g0wye0.png)
= 14.8
12 - 18 inch,
![$N_1=6 \left((350)/(72+70) \right) $](https://img.qammunity.org/2022/formulas/engineering/college/n0v4d1bqbk8d357a43t3828ukg54g0wye0.png)
= 14.8
![$N_(avg)=(9.86+14.8+14.8)/(3)$](https://img.qammunity.org/2022/formulas/engineering/college/ounbpm11cjixb2btpxcbnc2lksmfji24mq.png)
= 13.14
= 13