Draw these three lines which are all the forces on the griper. 1 is the grip force. 3 will give you the torque at the pivot of the tan geared link. Forces intersect at one point. (sum of moments =0)
Then simply draw a force triangle with sides in these directions to get the magnitude. (sum...
Force analysis of a four bar linkage is not difficult in static equilibrium. Most kinematics textbooks will cover this topic.
I think Theory of Machines and Mechanisms (Uicker, Pennock) does it best. See pages 538-545 (4th edition).
You draw free body diagrams of each link starting with...
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Butterfly valve linkage calculation
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This is a classic function generator problem. Input and output specified angular relationships. Define the input angles you want and the corresponding output angles you want. Your mechanism kinematics textbook will show...
construction instructionshttp://files.engineering.com/getfile.aspx?folder=8d1f23b5-847e-4e14-a777-7a6f569ed356&file=DETC2015-47118_remote_center_of_motion.pdf
Having a rigid body rotate around a point is not possible with a 4 bar linkage if you cannot use the center point as a pivot. However this can be done with a 6 bar linkage. It is called a remote center mechanism. I'll attach a video to illustrate and a paper describing the construction...