The A30 at Haselbury Plucknett is closed in both directions due to ice between the A3066 North Street and Chinnock Hollow.
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Weather warnings are in place as Storm Imogen brings winds of up to 80 miles per hour.
Winds of nearly 80mph have been reported at Avonmouth as Storm Imogen arrives in the west.
After a weekend of heavy rain and high winds, the West Country has been told to brace for another bout of bad weather.