The Harbor History Museum exhibits remnants of "Galloping Gertie," the collapsed Tacoma Narrows Bridge. Maybe. Galloping Gertie was a suspension bridge that opened in 1940 across the notoriously windy Tacoma Narrows, connecting Tacoma to Gig Harbor. The bridge lasted only about four months before the winds caused the bridge to sway and then collapse. Rusty pieces are on display in the Harbor History Museum, fished out of the water, and are believed to be from the bridge, but for some reason historians aren't 100 percent sure.
The museum is free as long as you sign in, and it has other local history exhibits.