 The bridge was narrow and structurally unsound , leading the authorities to rename it Chelsea Bridge to avoid the Royal Family 's association with a potential collapse . In 1926 it was proposed that the old bridge be rebuilt or replaced , due to the increased volume of users from population growth , and the introduction of the automobile . It was demolished during 1934 – 1937 , and replaced by the current structure , which opened in 1937 . 
