Generally, you cannot obtain a state DOT permit for a load that uses multiple pieces to make it over dimensional or overweight. For instance, you cannot put two 6’ wide generators together side-by-side to make a 12’ wide load. You cannot stack lumber 9’6” high on a flatbed trailer to make your loaded dimensions 14’6”. The same rules apply with regard to length: you will not be allowed to put multiple pieces end-to-end to create a length requiring a permit.
For overweight loads, the same general rule applies. Most overweight loads must be a single piece, with a few exceptions. Some states will require a blade or bucket to be taken off of a piece of construction equipment, but will allow those pieces to travel on the same truck with the machine itself. There are other exceptions, and these vary from state to state. You can contact the individual state and municipal transportation offices to find out their rules, or contact a qualified transportation provider.