Slightly Different Scissor Lift, need help
I've seen several questions about the equations for a scissor lift but I need to see how the equation might be modified for a slightly different "scissor" design.
Let's use the red colored FBD in [URL="https://www.engineersedge.com/mechanics_machines/scissor-lift.htm"][COLOR=#FF0000]this[/COLOR][/URL] scissor equation but change it. Instead of an X shape, lets have the legs of the scissor meet at the top under the "W" so it forms a sort of triangle. We'll call that point "A" where they meet and we'll leave points "B" and "C" the same name. However, "B" and "C" are mounted on lead screw and the thread direction is such that the "B" and "C" move towards each other as the lead screw is turned. The turning of the screw moves "B" and "C" towards each other and "A" moves upward. What does the equations look like for this scenario? It seems like it would be easier since there is no pivot point ("E" from the above FBD) in my scissor design.
In addition to the equation to determine the force needed to move "B" and "C" towards each other to lift "A", I need help with the equation to determine the required torque on the lead screw. I can find my pitch, diameter, and RPM of the lead screw, but I need help putting that all together.
My ultimate goal is to find out how much torque I will need to turn that screw to lift the weight at point "A".