1. Get qc average in the depth of influence in kgf/cm2, the depth of influence being 8 diameters above base of the footing to 3 diameters under such base.
2. Divide the value by 4, and take its integer value as N, i.e. N=qc/4 (integer, when qc in kgf/cm2)
3. Establish a permissible settlement DeltaAdm
4. Then qallowable=permissible working stress equals to
qallowable=(DeltaAdm/25 mm)·(N/0.052) kPa
For example for a permissible settlement of 20 mm and qc=100 kgf/cm2 in the depth of influence,
qallowable=(20/25)·(25/0.052)= 384.61 kPa = 4.99 kgf/cm2
allowable working streess at the tip for the pile to forestall higher ELASTIC settlement than allowed
see that allowing twice elastic settlement you may get twice allowable working stress to the limit of the settlement at the point permissible by the code and superstructure.
long term settlement effects if any can't be derived from the simplistic formulation (or shouldn't be used for clayey soils)
I once did a Mathcad Worksheet covering this annd must be freely available at Mathsoft's site, Collaboratory for Mathcad 2000, seach Pile, SPT, Meyerhof and should appear (the correlation with the SPT N as above is therein as well)
It seems to me this is a quite stringent correlation, since the weaker values of qc above the tip are easily taken whilst those under, 3 diameters below, are less data and "refusal" readings use to be quite ... almost forfeited for precision when charted. Must not if you are going to use this method since they are what are to get up the allowable working stress and represent truly more the resistance at the tip. Accuracy in those 3 diameters below tip is in this case paramount.