The bridge will be closed to traffic from 8pm on Friday April 19 until 6am on Monday April 22.
There may need to be a second closure the following weekend, from April 26 to April 29 – though this is yet to be confirmed.
A temporary road is to be built that can be used while the bridge is out of action.
The Station Car Park will be closed both weekends, but access for residents and businesses on Queen Street will be maintained at all times, the council says.
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