Instructions for Using the Following Formula for Figuring Angle Measurement
All common angles can be compared to a right angle triangle "A" represents the BASE, "B" the HEIGHT, and "C" the HYPOTENUSE. "A" or the base ;s the offset or the first measurement taken and (is at right angles from the run of pipe) from "A" or the base the other measurements must be figured. For example, in running a line of pipe and making a 12" offset, using 60° fittings, referring to the formula for figuring 60° fittings, j ou have "A" measurement and have to figure "B" and "C" from "A," glance down the column of letters until you see "B" and "A" to together (B = A X .5774) =6.9288, or the length of "B "
The same applies to "C." Glance down the column of letters until you see "C" and "A" together (C = A X 1.1547) = (13.S564) or the length of "C ' In all cases these are center to center measurements "E" and "D" are used on it when running parallel lines of pipe. "D" represents the spread The same principle applies when using angle fittings as when using 90° fittings. One piece of pipe has to be longer than the other or the offsets are closer together than the rest of the run. To determine the difference in the lengths as indicated by the letter "E," you multiply the spread by the given decimal Referring again to the formula for 60° fittings, we find "E" is obtained by multiplying "D" or the spread by .5771. We then have the length of "E," which must be added to the length of the first piece of pipe Referring to your drawing, you wil see that the piece of pipe immediately preceding the offset in your second line of pipe is longer than the corresponding piece of pipe in the first run. The offsets are the same. The piece of pipe immediately following the offset in the second run of pipe is just as much shorter than the corresponding one in the first run as it is longer preceding the offset. This same rule applies, regardless of the number of lines of pipe used.
In using the combination angles such as the 60° out of the 45°, the 45° out of the 60°, and the 60° out of the 60°, there is a rise as well as a spread. The first thing to determine is the location of the fitting on the horizontal line. To do this, square from the vertical line to the horizontal line and then, using the 60° out of the 45° as an example, multiply the spread (which is represented by "B" in View No. 1) by 1.4142.