Materials & Quantities

Cable Tray Center-Span Deflection Calculator

Check a cable tray's calculated center-span deflection under cable load against the standard L/100 deflection limit.

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The uniformly distributed load on the tray, including cables and the tray's own weight, per unit length.

Sum the weight of all cables carried plus the tray's self-weight, expressed per meter of span, to get the uniformly distributed load used in the beam deflection formula.

The distance between adjacent tray supports.

Measure center-to-center between the two supports bracketing the span being checked.

The tray rail material's modulus of elasticity.

Steel tray rail is commonly around 200,000 MPa; aluminum tray rail is commonly around 70,000 MPa. Check the manufacturer's data for your specific tray.

The tray rail cross-section's moment of inertia, a measure of its bending stiffness.

Look up the moment of inertia for the specific tray rail section (side rail profile and depth) from the manufacturer's load/span tables.

Calculated center-span deflection

0.00553 in

ComparisonA comparison, not a check — no result here is an approval.

The centre-span deflection this tray works out to is below the L/100 limit for the support span entered shown with it — The L/100 convention NEMA VE 1 load/deflection ratings are referenced against gives it. Being under one limit is not a design. Nothing else is checked here — not the other limit states, not the connections, not the member the load arrives from.

L/100 allowable limit (NEMA VE 1)
1.2 in
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Show calculation logic

How this was calculated

Formula source(s)

  • Uniformly-loaded simple beam deflection: Δ = 5wL⁴/(384EI), applied to a cable tray section between supports; standard cable tray deflection limit per NEMA VE 1 load/deflection test rating is commonly L/100 of the support span

Inputs used

Total Cable + Tray Load (N/m)
50
Support Span Length
10 ft
Tray Rail Modulus of Elasticity E
29007547.55 psi
Tray Rail Moment of Inertia I (×10⁶ mm⁴)
2

Intermediate steps

L/100 allowable limit (NEMA VE 1)
1.2 in
Final result0.01 in

Confidence note: The centre-span deflection this tray works out to is below the L/100 limit for the support span entered shown with it — The L/100 convention NEMA VE 1 load/deflection ratings are referenced against gives it. Being under one limit is not a design. Nothing else is checked here — not the other limit states, not the connections, not the member the load arrives from.

What this calculation does not cover

  • Solves one simply supported span, which is the softest case and rarely the built one. Tray normally runs continuous over several supports, and where the splices sit decides which case applies: a splice landing near mid-span puts a hinge at the point of maximum moment and multiplies this figure, while splices kept near the quarter points let the run behave as the continuous member the manufacturer's load tables were written for.
  • A uniform load per meter is not what bends trays on site. Someone stands on one to reach a fitting, a pull rope drags a concentrated load along it, a heavy feeder drops into a single bay — tray load classes are tested against a concentrated load at mid-span as well as the distributed one, and no part of 5wL⁴/384EI sees any of it.
  • Clearing L/100 says nothing about what holds the tray up. Every span hands its reaction to a hanger rod, a trapeze and an anchor into concrete or steel, and those are sized in a separate exercise — a tray stiff enough for the deflection limit, hung on undersized rod or shallow anchors, fails at the ceiling rather than in the middle of the span.

Add the equipment this sizes

This result is a specification — 0.00553 in — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

10 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-06 · in the site-wide review of 2026-09-06 · v1.1.1

Regulatory standards & verification citations1
  1. Uniformly-loaded simple beam deflection: Δ = 5wL⁴/(384EI), applied to a cable tray section between supports; standard cable tray deflection limit per NEMA VE 1 load/deflection test rating is commonly L/100 of the support span
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How to calculate cable tray center-span deflection in 5 steps

  1. Total Cable + Tray Load (N/m)The uniformly distributed load on the tray, including cables and the tray's own weight, per unit length.
  2. Support Span LengthThe distance between adjacent tray supports.
  3. Tray Rail Modulus of Elasticity EThe tray rail material's modulus of elasticity.
  4. Tray Rail Moment of Inertia I (×10⁶ mm⁴)The tray rail cross-section's moment of inertia, a measure of its bending stiffness.
  5. Calculated center-span deflectionThe tool computes the calculated center-span deflection from those figures and shows the formula, its sources, and a confidence rating alongside it.

Frequently asked questions

What is the L/100 deflection limit based on?
It's the conventional allowable center-span deflection commonly referenced by NEMA VE 1 cable tray load/deflection test ratings — the calculated deflection under load should not exceed 1/100th of the support span length.
Why does the tray rail's moment of inertia matter so much?
Deflection is inversely proportional to E×I (the rail's bending stiffness) in the beam deflection formula — doubling the moment of inertia halves the calculated deflection for the same load and span, which is why manufacturers publish load/span tables keyed to specific rail depths and profiles.
What should I do if a span fails the L/100 check?
Shorten the support span, select a tray with a stiffer rail section (higher E×I, e.g. a deeper rail or steel instead of aluminum), or reduce the cable and tray load on that span — then recheck the deflection against the L/100 limit.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.