In many very popular sci-fi anime stories, there is a "space elevator", or, in other words, a giant tower which allows to transport people or objects from the surface of Earth to space. Some of these stories where they appear are Gundam (Gundam Reconguista in G (2014), Mobile Suit Gundam 00 (2007), Turn A Gundam (1999), Eureka Seven (2005) and Bubblegum Crisis Tokyo 2040 (1998), and the earliest I know is Super Dimensional Century Orguss (1983).
Now, I know this idea comes from science, since a giant tower which could reach space from the surface of Earth was theorized by scientists (though apparently a material which could have the properties to build it doesn't exist) but I wonder which was the first sci-fi story to give credit to this concept by incorporating it into a fictional story.
Which was the first story to feature space elevators?