The present invention relates to a flexible agricultural platform characterized by having a plurality of support arms constructed especially composed of multiple sections hinged together, arranged to hold the cutterbar assembly. The set of multiple-beam pivoting arms used to hold the cutting mechanism of a draper conveyor type agricultural platform on multiple support points evenly distributed across the width of the main frame, and in a manner to admit the cutterbar to flex along its width—without intermediate rigid sections—in response to changes in the curvature of field while the platform is advanced.