EYFS:
The primary reason for jacketing is to confine the concrete during a high stress crushing failure occurrence, isn’t it? If so, the steel jacket will work well on a round column, where the expanding conc. volume puts the steel jacket in hoop tension, and the conc. is confined. This method will not work very well, for that purpose, on square or rectangular members, because the conc. volume change will cause plate bending in the steel jacket, not hoop tension, thus much more conc. movement can occur. I would expect the steel jacket to add some shear cap’y. to the conc. member if it is well attached to the conc. I’d see what I could find on this subject at ACI and CRSI, and might expect to find a few tech. papers on the subject. I’m not so sure I’d expect to find a handbook on the subject, and probably not much in most conc. design textbooks either. This is a fairly specialized subject and reinforcing means.