The bridge was widened and the two central arches merged into one to provide a wider channel for shipping.
[3][4] The work was not completed until 1824, by which time Alexander had been dismissed from his post as engineer to the bridge.
[7] In 1799 he carried out a detailed survey of Rochester Cathedral, and recommended a programme of repairs, which was begun in 1801.
In his capacity as surveyor to the Trinity House he built a number of lighthouses,[2] including the High Lighthouse at Harwich (1818),[10] and others at Holyhead, Farne Island, and Lundy Island, the latter built on older foundations in 1819.
[2][14] His pupils included James Savage, John Whichcord Snr, William Hurst Ashpitel and Charles Busby.