You can use an option on the library homepage entitled Journal Search to enter the title of the journal or magazine you are looking for (do not type in the title of the article).
Be sure to take note of the limited years of coverage (if any) for each option.
If the library does not have the article, you can request it through Interlibrary Loan.
The Library Catalog search for books, articles, movies and more searches a wide variety of databases and sources. Searching for books only will allow you to search for books in the library's collection (print and ebook). It will also search for articles and chapters from books. Not all the items it will find is considered to be scholarly.
The following databases specialize in locating articles in scholarly/academic journals and related sources.
Here are databases which specialize in searching and providing texts of newpaper articles published from the 1990's to date. (In some databases, earlier articles are also included.)