Abstract: A concrete structure is erected by prefabricating a plurality of comparatively massive like-constructed substantially concrete slabs each of which has an elongated rectangular opening therein and a plurality of bores extending therethrough, transporting the prefabricated concrete slabs from a fabrication location to a building location, digging a ground foundation trench at the building location, successively placing the plurality of prefabricated concrete slabs, one-by-one, in substantially vertical orientation into said trench with the respective rectangular openings of said slabs all being located below grade in said trench, passing comparatively rigid elements through the bores in adjacent ones of said slabs to align said slabs with one another and to mechanically fasten them to one another, and thereafter anchoring the slabs in place by pouring or pumping a flowable anchoring material such as wet concrete into the trench to fill the trench and to pass from one side to the other of each of said slabs thro