If you're talking about a lift that has straight, equal-length arms,
i.e. the distance from the horizontal-jack-screw attachment (or
horizontal hydraulic-ram attachment) point to the scissors-joint is
the same as the distance from that scissors-joint to the top load
platform attachment, then the equation is this:
W + (W_arms/2)
F = ---------------
tan(theta)
Where F is the force provided by the jack-screw or hydraulic ram, W is
the combined weights of the payload and load platform, W_arms is the
combined weight of the two scissors-arms themselves, and theta is the
angle between the scissors arms and the horizontal. If this is a
multi-scissors (series) lift, multiply the answer F above by the
number of stacked scissors mechanisms.
If the scissors arms are not equal-length, the equation must be
modified somewhat. Let me know if you want me to derive the modified
equation. |