It’s the complete opposite of a keystone, actually. A keystone is there to turn the entire arch into a compressive load; the weight pushes down on the keystone, which transmits the force to both “legs” of the arch, which compresses them. So long as the materials for the arch are good in compression, like stone and brick, and you have a stable structure. The force goes from the road to the keystone to the arch to the ground.
A suspension bridge operates using tension, the opposite of compression. What holds the roadway up is the cables that connect the roadway to the huge, heavy suspension cables which are “draped” between the very tall supports. Each of these elements is in tension; the suspension cable is in tension between the two support towers, like a laundry line. The smaller cables are in tension between the suspension cable and the roadway, like a string holding up a plumb-bob. The roadway pulls down on the cable, which pulls down on the suspension cable, which pulls sideways on the support towers. The support towers are either balanced by having a suspension cable on each side or having a support cable to the ground at the end of the bridge. That transmits the load from the roadway to the cables to the suspension cables to the towers to the support cables to the ground.
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