arcka,
As a few people here are telling you, there is no single force because it changes as the cylinder moves from nearly zero to the maximum when the tan coloured links are nearly at 90 degrees to the cylinder.
The key dimensions you need are the fixed or stated distance your jaws are apart / diameter of the rod, the distance between the pins at the end of the tan coloured links and the length of the tan coloured links and their distance from each other plus how the distance between the tan coloured links and the jaws vary (e.g.130mm links gap = 25mm jaw gap, 131 = 24.75 or whatever)
Then if you have a fixed rod diameter, just draw out the centreline between the pins, work out the angle of the tan links to the cylinder and you can get your force. If you have a variety of rod diameters then draw a variety of diagrams and get a variance in force. If the rod is thicker than you've shown on the drawing then the force will be less.
Of course this ignores any compression of the rod or embedment of any teeth, but this should be relatively small in comparison to the jaw movement. Of course if your rod is too small then force is zero....
I can only assume you have a fully dimensioned drawing or can interrogate your drawing to discover all these dimensions.
Good luck and let us know how you worked it out.
My motto: Learn something new every day
Also: There's usually a good reason why everyone does it that way