When any sidewalk within the city is or becomes out of repair so as to render it unsafe, unfit, or inconvenient for passage thereover by pedestrians, the Board of Public Works and Safety shall notify the owners of the abutting property of the defect in such sidewalk, and in the event it is not repaired, re-laid, or replaced as directed within a reasonable time, not to exceed 30 days, the Board shall present a resolution to the Common Council ordering such sidewalk improved as provided by the laws of the state and the ordinances of the city, and the Council shall take such action as it shall deem proper. For the purpose and within the purview of this section, the determination of the Board of Public Works and Safety as to the necessity of the repair, re-laying or replacing, of any such sidewalk to render it safe, fit, or convenient for passage thereover by pedestrians shall be conclusive so far as the city is concerned.
