Some periodical databases may not have the full text of the article you want available. But this does not mean the library does not have online or print access to the article. It is necessary to search the library site's journals list to see if you can get the article.
See the example below. This is a citation from a database that does not include the full-text of the article:
To find the full text for an article, use the Journals by title search. Access it from the tabbed menu at the bottom left of the libraries' homepage:
Make sure you have copied the citation for the article you are interested in.