Introduction:
The greater objection to any of the pile driving formulae is the uncertainty in the relation between dynamic and static resistance. This means that the formulas used to calculate the resistance of piles during driving may not accurately predict the actual resistance of the pile in the ground. This can lead to potential problems and complications in pile design and construction.

Explanation:
Here are the reasons why the uncertainty in the relation between dynamic and static resistance is the greater objection to pile driving formulas:

1. Dynamic and Static Resistance:
- Pile driving formulas are primarily based on dynamic measurements, such as the blow count or hammer efficiency.
- Dynamic measurements are easier and more cost-effective to obtain during pile installation.
- However, the dynamic resistance measured during driving may not accurately represent the actual static resistance of the pile in the ground.
- The dynamic measurements can be affected by various factors such as soil conditions, hammer energy, pile installation method, and pile geometry.
- Therefore, there is uncertainty in the relation between dynamic and static resistance, which can lead to inaccurate predictions of pile capacity.

2. Inaccuracy in Predicting Pile Capacity:
- The primary purpose of pile driving formulas is to estimate the pile capacity, which is the load that a pile can safely carry.
- If the dynamic measurements used in the formulas do not accurately reflect the actual static resistance, the predicted pile capacity may be inaccurate.
- Inaccurate predictions can lead to unsafe pile designs, where the piles may not be able to support the intended loads.
- This can result in structural failures or excessive settlements, which can be costly to rectify.

3. Design and Construction Complications:
- The uncertainty in the relation between dynamic and static resistance can also lead to complications in pile design and construction.
- Engineers may need to use conservative assumptions or additional testing methods to ensure the safety of pile foundations.
- This can result in increased costs, longer construction schedules, and potential delays in project completion.

Conclusion:
The uncertainty in the relation between dynamic and static resistance is the greater objection to any of the pile driving formulas. This uncertainty can lead to inaccurate predictions of pile capacity and potential complications in pile design and construction. It is important for engineers to consider this uncertainty and use appropriate methods to ensure the safety and reliability of pile foundations.