Compound Sine Plate

Calculate the two gauge block stack heights required to set up a compound sine plate. Enter the orthogonal (print) angles to find the true plate settings.

Sine Plate Dimensions
°
The angle shown in the view looking directly at the top hinge.
°
The angle shown in the view looking directly at the bottom hinge.
Required Setup
Top Plate Stack

0.0000

in
True Set Angle: 0.000°
Base Plate Stack

0.0000

in
True Set Angle: 0.000°
Setup Geometry
The Math (Orthogonal Correction)

When you tilt the top plate, you are changing the plane in which the base plate operates. To achieve the correct print angles (A & B), the physical tilt of the base plate must be mathematically corrected.

Top Plate Settings:
$\theta_{Top} = Angle_A$
$Stack_{Top} = L_{Top} \times \sin(\theta_{Top})$
Base Plate Settings:
$\theta_{Base} = \arctan(\tan(Angle_B) \times \cos(\theta_{Top}))$
$Stack_{Base} = L_{Base} \times \sin(\theta_{Base})$
Machinist's Tip

Always set your Base Plate first, then indicate it to verify. Only set the Top Plate once the Base Plate is locked in. Ensure the gauge blocks are wrung together and seated securely under the rolls.