What is the travel on a rolling offset that has a run of 18'', a roll of 24'', and a height of 12''?

To determine the travel on a rolling offset, you can use the formula derived from the Pythagorean theorem, which is applicable in this context because the offset creates a right triangle where the components of the roll, run, and height correspond to the triangle’s sides.

In a rolling offset, travel is calculated as follows:

1. Identify the lengths:

   • The run is the horizontal distance (18 inches).
   • The roll is the diagonal length (24 inches).
   • The height is the vertical rise (12 inches).

2. Apply the Pythagorean theorem: The travel can be understood as the length of the hypotenuse in a triangle formed by the height and the run. To solve for the length, you can use the formula:

   [ \text{Travel} = \sqrt{(\text{run}^2 + \text{height}^2)} + \text{roll} ]

3. Calculations:

   • First, calculate the sum of the squares of the run and height: [ 18^2 + 12^2 = 324 + 144 = 468 ]
   • Next, take the square