A drop-deck trailer for hauling heavy loads (e.g., jumbo glass panes) positioned on each side of the drop-deck and which minimizes trailer twisting/leaning is provided. The drop deck includes a plurality of transversely-mounted A-frames that are coupled through an anti-torsion structure (ATS) to each other and to at least two trailer main beams at an elevated front deck and at a rear portion of the drop-deck for transferring the load from each side of the trailer and into the at least two main beams. The ATS includes tie bars for connecting the tops of the A-frames together, a front support for connecting the forward-most A-frame to the main beams and an end support for connecting the rear-most A-frame to the main beams. The ATS minimizes twisting/leaning of the trailer without adding any significant weight to the trailer itself. This permits the transport of increased payload on the trailer, including a continuous tarp for covering the payload during transport.