Formula for the length of a 45-degree bend in a cable tray
For a 45-degree bend in a cable tray, the distance between the two bend points is calculated by multiplying the vertical offset by 1.414, and each tray section is cut at 22.5° to form a mitered joint.
Step 1: Determine the Offset Height
Measure the vertical distance (rise) that the cable tray needs to clear the obstacle or change elevation. This is the total height of the offset you want to achieve .
Step 2: Calculate the Travel Distance
For a 45-degree bend, the offset forms an isosceles right triangle, where the vertical rise and horizontal run are equal. Use the multiplier 1.414 (the square root of 2) to calculate the distance along the tray between the two bends:
Distance between bends = Offset height × 1.414 .
For example, if the offset height is 100 mm: 100 mm × 1.414 = 141.4 mm between the start points of the two bends.
Step 3: Prepare the Tray Sections
A 45-degree bend is typically formed using a mitered joint:
- Cut two separate tray sections.
- Each section is cut at 22.5° from a perpendicular line across the tray width .
- The second section's cut is in the opposite direction to the first, allowing the two pieces to join and form the 45-degree angle.
- Deburr and smooth all cut edges to protect cables and ensure safety .
Step 4: Mark and Bend
- Measure from the end of the tray to the first bend mark.
- Place the bender at the first mark and bend the tray 45 degrees.
- Reposition the tray for the second bend using the calculated distance and bend in the opposite direction to return the tray to a parallel path .
Step 5: Install and Connect
Test-fit the two mitered sections and secure them using appropriate cable tray connectors and hardware. Ensure the bend is smooth to facilitate cable pulling and maintain structural integrity .
Notes
- The 1.414 multiplier ensures the diagonal length of the tray section matches the hypotenuse of the right triangle formed by the offset .
- For different tray widths or offset heights, simply adjust the offset height in the formula.
- Pre-fabricated 45-degree fittings can save time for standard offsets, while field bending is used for custom dimensions .
By following these steps, you can accurately calculate and fabricate a 45-degree bend in a cable tray, ensuring proper alignment and safe cable routing.
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