Development of Flashing intersects Roof Slope

Plan View and Development
8 inch diameter Cylinder intersects 12/12 Roof Slope

Formulas and Displayed Ranges for the
WZ Function Grapher created by Walter Zorn
or a programmable graphing calculator
 Select Function on the Graph drop down menu. For the Displayed Range enter … x min = 0 x max = Radius × π = Semiperimeter of cylinder y min = 0 y max = Roof Pitch × Diameter of Cylinder The formula to be graphed is … Pitch × Radius × cos (x / Radius + π) + Pitch × Radius Follow the graph with the cursor to find the horizontal (x) and vertical (y) dimensions; the default precision is two decimal places. 8 inch cylinder intersects a 12/12 slope: Inches x min = 0 x max = 4 × π = 12.56637 y min = 0 y max = 12/12 × 8 = 8 Formula = 4*cos(x/4+pi)+4 Centimeters x min = 0 x max = 4 × 2.54 × π = 31.91858 y min = 0 y max = 12/12 × 8 × 2.54 = 20.32 Formula = 10.16*cos(x/10.16+pi)+10.16 9 inch cylinder intersects a 7/12 slope: Inches x min = 0 x max = 4.5 × π = 14.13717 y min = 0 y max = 7/12 × 9 = 5.25 Formula = 2.625*cos(x/4.5+pi)+2.625 Centimeters x min = 0 x max = 4.5 × 2.54 × π = 35.9084 y min = 0 y max = 7/12 × 9 × 2.54 = 13.335 Formula = 6.6675*cos(x/11.43+pi)+6.6675