I am not able to add iframes to an article as a limited user.
As a super user, I am able to do so because I allowed it in the JCE editor settings. There is an option for user profiles there, so I edited the default one and gave permission to every user. Still when I login as a user with limited rights (no admin rights and no superuser rights) it refuses to save the iframe.
What am I doing wrong?
I am use JCE in Joomla 3.5.1.
You missed this steps set Filter Type to No Filtering
in Joomla! Global Configuration, Text Filters tab
Configure Joomla! Article filters
By default Joomla! 'cleans' content on saving, removing script tags, event attributes (such as onclick, onmouseover
etc.) and style tags.
A simple article parameter change is all that is required to fix this.
Joomla! 2.5 and Joomla! 3
Reference https://www.joomlacontenteditor.net/support/faq/item/iframe-removed-on-saving