Note: This feature is only for owner users. This is also applicable to all modules and not just the construction module.
Step 1: Go to the specific project and click on project settings (the link is in the bottom left corner).
Step 2: Click "Add Members." under the project team section. (View image below)
Step 3: Add new members by checking the box next to their names. If you don't find the user under their respective company, you can add them to the email input field below each company user list.
Step 4: You can remove the project creator (which can you be you or other owner users) by unchecking your name, and there you can select a new project owner (from the existing project members). (View image below)