A soft web material which exhibits an elastic-like behavior along at least one axis when subjected to an applied and subsequently released elongation. The web material includes a strainable network having a plurality of first regions and a plurality of second regions of the same material composition. A portion of the first regions extend in a first direction while the remainder extend in a second direction perpendicular to the first direction to intersect one another. The first regions form a boundary completely surrounding the second regions. The second regions include a plurality of raised rib-like elements.