Calculating Tangent Dimensions for Concave and Convex Vertical Curves
The PRO-BELT conveyor design program calculates a proper concave vertical curve with radius R1 to prevent empty belt lift and excessive belt stress and buckling. The convex vertical curve with radius R2 is calculated to prevent excessive idler overload and excessive belt stress and buckling. The change in elevation H is assumed to be a known amount. The calculation below determines the horizontal distance X between the two tangent prints on the upper elevation and lower elevation, and the unknown angle of the slope at the transition tangent point that is equal to angle A.
X = { ( R1 + R2 ) 2 - ( R2 + Y ) 2 } 1/2 or square root
A = arcCos { ( R2 + Y ) / ( R1 + R2 ) } or
A = arcSin { ( X ) / ( R1 + R2 ) }
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Shaft Mounted Reducer Torque Arm Reaction and Pulley Shaft Load.
Calculating Tangent Dimensions for Concave and Convex Vertical Curves.
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