Hi
SPT can be related to shear strength of the clay. There are couple of correlations around in the reference books. However, these correlations are pretty vague. For example, the associate shear strength for SPT values of 4 to 8 is about 25 kPa to 50 kPa and this does not necessary means a linear correlation that 4 corresponds with 25 kPa and 8 with 50 kPa. If the SPT is 6, your shear strength could be anywhere between 25 to 50. I have see soils with SPT of 6 and shear strength of 35 kPa and even personally experienced clayey soil with SPT of 6 and shear strength of 80 kPa.
Therefore, if you only rely on correlation between SPT and shear strength, you have to use the lower limit of shear strength provided for each SPT bracket. This may lead to a conservative design and in contrast, if SPT is the only mean, anything beside it could be risky and dangerous.
I have not seen any direct correlation between DCPT and shear strength. If you are thinking to use the same blow count of DCPT and use the SPT correlations, that would be another problem. The correlation between SPT and DCPT is yet to be proven. I have seen people that insist the blow counts between SPT and DCPT are comparable. I have seen soils that we conducted DCPT to 20’ (6 m) depth and the numbers between SPT and DCPT were a very good match. On the other hand, I have seen plenty of sites that after penetration of about 5’ (1.5m), the DCPT values start increasing and deviating from the SPT values (due to skin friction). I personally could not figure out what are the condition that the DCPT and SPT are comparable and when are not. I believe, looser/softer the soil, more comparable are the numbers. However, until someone shows me strong evidence, I only use DCPT as a qualitative tool, not quantitative (e.g., to find the depth of hard soil underneath of soft soil).
A laboratory vane shear test is fine as long as you have good sample.
An Unconfined Compression test is also good for simple design (much better than SPT correlation for clayey soil).
All of my comments were in regard to obtaining the parameters of clayey soil for calculating skin friction of your pile within clayey layer.
For calculating the tip resistance within sandy soil, you have no choice other than using correlations with SPT. I still do not assess the tip resistance based on DCPT. Conducting tri-axial test on undisturbed samples of the sand may seem appealing, but it is not practical for a real project of regular importance. Even for important project, people do not usually try to do this kind of stuff (tri-axial on sand). For important project, you do a pile load test before finalizing the design.