Question 9.4: For the corrected N values in Ex 9.3, determine the (a) rela...

For the corrected N values in Ex 9.3, determine the (a) relative density, and (b) the angle of friction. Assume the percent of fines in the deposit is less than 5%.

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Per Table 9.3 the relative density and \phi are

 

For N _{60}=42, D_{r}=77 \%, \phi=39^{\circ}

 

For N _{70}=36, D_{r}=71 \%, \phi=37.5^{\circ}

 

Per Eq (9.8)

 

\phi^{\circ}=30+0.15 D_{r} (9.8)

 

For D_{r}=77 \%, \phi=30+0.15 \times 77=41.5^{\circ}

 

For D_{r}=71 \%, \phi=30+0.15 \times 71=40.7^{\circ}

 

Table 9.3 N_{\text {cor }} \text { and } \phi Related to Relative Density
N_{\text {cor }} Compactness Relative density, D_{r}(\%) \phi^{\circ}
0-4 Very loose 0-15 <28
4-10 Loose 15-35 28-30
10-30 Medium 35-65 30-36
30-50 Dense 65-85 36-41
>50 Very Dense >85 >41

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