Cable Tray Sizing and Selection Guide
The document contains details of 10 cable trays including their feeder names, numbers, cable sizes and diameters. Each cable tray section provides the results of the cable tray sizing calculation and the
Diameter of the hypotenuse of the cable tray
The hypotenuse of a cable tray cross-section can be calculated using the tray's width and depth with the Pythagorean theorem.Understanding the Hypotenuse in Cable TraysIn cable tray design, the hypotenuse refers to the diagonal distance across the tray's cross-section, which is important for determining the maximum cable length that can fit without bending or for calculating structural clearances. For a rectangular tray, this is the diagonal from one corner of the tray's bottom to the opposite top corner. The hypotenuse is not a standard catalog dimension but can be derived from the tray's width and depth .Calculation MethodFor a tray with width (W) and depth (D), the hypotenuse (H) is calculated using the Pythagorean theorem:H = √(W² + D²)W = internal usable width of the tray (after accounting for side rails)D = internal depth of the tray (from bottom to top edge)For example, if a tray has a width of 300 mm and a depth of 100 mm:H = √(300² + 100²) = √(90000 + 10000) = √100000 ≈ 316.2 mmThis diagonal represents the maximum straight-line distance across the tray's cross-section, which is useful for cable routing, bend radius considerations, and ensuring proper cable fill .Practical ConsiderationsCable Fill: The hypotenuse helps determine if cables with large diameters or multiple layers can fit without exceeding the tray's fill capacity. NEC and NEMA standards limit cable fill to a percentage of the tray's usable area, so the diagonal can guide spacing and layering .Tray Type: Ladder, perforated, channel, and wire mesh trays have different depth and width ratios, affecting the hypotenuse. Ladder trays with higher side rails will have a longer diagonal for the same width .Installation: Knowing the hypotenuse is useful when routing cables through bends, vertical risers, or tight spaces, ensuring cables do not exceed bend radius limits.By combining the tray's width and depth with the Pythagorean theorem, engineers can accurately determine the hypotenuse for design, installation, and compliance purposes.
Diameter
Hypotenuse
Cable
Tray
PIC
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Cable Tray Sizing & Load Calculations Made Simple
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