Disclosed herein are panelized wall systems and methods for their construction, wherein the wall systems have elastomeric joints that are resistant to cracking. The walls are constructed with trough-edge building panels. The trough-edge building panels are preferably fiber cement. The front surface of each panel has a trough adjacent to an edge of the panel. Panels are fastened to a frame with the trough-edges adjacent to each other. A joint tape is applied to the seam between the panels such that the edges of the joint tape fall within the troughs of the adjacent panels. The wall is then finished with an elastomeric finish.