The working angle of the scissor support arm in a stationary scissor lift platform depends on the lifting height, platform size, and arm length. It is the angle between the scissor arms and the horizontal plane during operation.
Key Definitions
θ (Theta): The working angle of the scissor arms.
L: Length of one scissor arm.
H: Current lifting height.
C: Compressed (minimum) height.
W: Distance between the scissor arm pivot points on the base.
Working Angle Calculation
The scissor lift mechanism forms a right triangle, where:
The hypotenuse is the scissor arm length (LL).
The opposite side is the lifting height minus the compressed height (H−CH - C).
The adjacent side is half the platform width (W/2W/2).
Using trigonometry:
sinθ=H−CL\sin \theta = \frac{H - C}{L} θ=arcsin(H−CL)\theta = \arcsin \left( \frac{H - C}{L} \right)
Example Calculation
For a 1m × 1m platform:
Assume the scissor arm length L≈0.71mL \approx 0.71m (calculated from previous answer).
Compressed height C=0.2mC = 0.2m.
At maximum lifting height H=1.2mH = 1.2m:
θ=arcsin(1.2−0.20.71)\theta = \arcsin \left( \frac{1.2 - 0.2}{0.71} \right) θ=arcsin(1.0/0.71)\theta = \arcsin (1.0 / 0.71)
Since 1.0/0.71>11.0 / 0.71 > 1, this suggests a fully vertical position (90°), meaning the theoretical lift height might be overestimated or the arm length needs adjustment.
For practical designs, most scissor lifts work between 10° (fully lowered) and 75° (near maximum height).
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