Development of Flashing intersects Roof Slope
Development of Flashing intersects Roof Slope
Model of Flashing intersects Roof Slope

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

Plan View ... 8 inch diameter Cylinder intersects 12/12 Roof Slope
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

Joe Bartok