A 0.3 -m-square prestressed concrete pile is driven to a depth of $10 \mathrm{an}$ at a site where sand soils exist and exkend deep. Testing indicates the soil unit weight is $17 \mathrm{kN} / \mathrm{m}^3$ and the angle of internal friction is $35^*$. Groundwater is below the depth of pile penetration. When load tested. the fallure load is $1700 \mathrm{kN}$ (the maximum safe load that should be assumed for the pile capacity. and taken as the test load shown on the loadsettlement plot where large setulement begins to occur; a design load eapacity would be obtained by applying a factor of safery to that maximum safe load). Assume the pile end bearing can be calculated from use of Equation 34 and Figure 32.
For the described conditions, perform a back. analysis to obtain the beta-coefficient $(\beta)$ for an effective stress analysis to delermine pile capacity. (Compare with values presented in Table 12.)