Not quite sure by about what you are calling the "chord" . It just seems like a long plane (24") to be supported in the middle with one hydraulic cylinder. I have no doubt as to whether or not the cylinder will push it. I'm sure it will. How thick are your tabs? Most are about 1/8" thick.
It seems to me that the tabs would bend or flex at the outermost ends due to the force applied when they are down. Once bent I doubt they would return to their original shape. :hmm
When I did my 12x12's I welded apiece of stainless angle iron 1/1/2" x 1 1/2" x 9" 's long across the tabs and used the vertical leg side ( rib) of it to mount the cylinder to. This way I used the original cylinders and original mounting location. This was done in regards to where the cyinder mounted to the tab. hope this made sense......