If any such owner shall neglect or refuse, or shall have failed, after notice has been given as provided in this article, to construct, repair, replace or reconstruct any sidewalk within the time limited in the notice given in such case and whose duty it is made by this article to construct, repair or rebuild such walks, the street superintendent or Building Official shall proceed at once without further notice to such owner or person to have such sidewalks constructed, repaired, rebuilt or reconstructed, as the case may be, and the expense of such work shall be assessed to such lot or piece of land, and collected as provided by law.