Belgrade is a city that lies on two rivers, so naturally it has many bridges connecting its sides. What is notable though is the sheer number of them. It has 7 bridges in its urban area, but in 11 total.
There is a nice walkway connecting nearly all of them that is sure to be a pleasant walk or bicycle ride, right on the river bank.
Brankov most - Branko's Bridge
Branko's brige was built in 1956 on the foundations of the 1934 King Alexander Bridge, which was destroyed in World War II.
It is the only bridge that has a bycile elevator. If you are a smooth talker, you might be able to convince the opperator to let you in as a pedestrean.
The official name of the bridge during the communist rule was "Brotherhood and unity bridge" (Most bratstva i jedinstva), but that name never caught on. Citizens referred to it as the "Savski most" (Sava bridge), "Zemunski most" (Zemun bridge) and the "bridge in Branko's street", as the bridge is an extension of the Brankova street, named after Branko Radičević, Serbian romanticist poet. The latter name was colloquially shortened to Brankov most (Branko's bridge) and the name prevailed. Urban myth is that the bridge got its name after the writer, Branko Ćopić, committed a suicide by jumping from the bridge in 1984. The bridge is otherwise known for the large number of suicides that are committed or attempted from it. Every year, about 40 people decide to end their lives by jumping from it. Wiki