When running pipes or conduits, it is common to have to change the run of the line of pipes by using two equal angled elbow fittings (see diagram).

The length of the run (R) and travel (T) created with the elbows and the length of pipe between them, can be calculated if one knows the vertical and horizontal offsets and the angle of the fitting.

Formula

In the diagram above, the relationship between the travel length and the offsets is as follows:

X = SquareRoot(Square of V + Square of H)

Travel T = X / (cos (90-Fitting Angle))

Run R = SquareRoot ( Square of Travel T – Square of X)

Note: Values for H and V can be entered in any unit, with only conditions that both values must be entered in same unit. Angle should be entered in degrees.