Park by pulling to the side of the road at the large ravine with trails going up either side.
At the roadside near Blackshale Creek, there are two trails that head up along the ravine and you can take either one up; the western trail consists of more switchbacks, while the eastern trail is more steady and winding. Each trail climbs steadily before flattening out at either end of the suspension bridge.
The bridge is long and narrow, so be courteous to others as you cross.
Head down whichever trail you didn't come up and you'll arrive where you started.