Beech, who served as Dale caretaker boss between the reigns of Steve Eyre and John Coleman last season, has worked alongside Hill since his return to the Spotland dugout in January.
Rick Ashcroft will take over his previous roll of youth-team manager.
Brian Barry-Murphy will take up the role of player/first-team coach - the second member of Hill's staff to be registered to play after goalkeeping coach Steve Collis.
Tony Ellis is another man with a dual role, liaising between the youth and first-team set-ups as academy manager, while also joining Hill's team as matchday observational coach.
As in his previous stint with Rochdale and his time at Barnsley, Hill will place an emphasis on pre and post-match analysis and Dan Fradley heads up this area as head of training and matchday analysis.
Hill told Dale's official website: "Getting to where we are today has been transitional since I came back to the football club. It's not just about a manager anymore, you need a team.
"It has been about making sure that we assembled a team behind the team and built a structure that is successful and in sync with development. We've made a few subtle changes that will make a big impact including a bridge between the youth team and first team.
"There's a design to try and make sure we're successful and although it might not be evident from the get go, it will become evident to supporters.
"We've got to make sure that there's matchday success, development success and financial success. In order to do that there has got be a team behind the team so we can utilise every facet that we've got at this football club."