RSJ Deflection Calculator: Formula and Worked Example

Reproduce a 4 m uniform-load deflection example, convert units correctly and account for self-weight when choosing an RSJ.info tool.

RSJ Deflection Calculator: Formula and Worked Example

Deflection measures movement under load. It is different from a strength or stability check, and a small predicted deflection does not establish safety.

Use the current tool

The load calculator converts entered area loads and tributary width to a line load and adds beam self-weight. The deflection calculator instead expects a total line load with self-weight already included. Avoid counting it twice. The span comparison uses your exact span rather than choosing a nearby preset row.

Source: British Steel Universal Beams datasheet, 21 July 2026. The shared section table and methodology lists the exact inputs used by our tools. These properties are not safe load ratings.

Reproduce the calculation

For a simply supported beam carrying a uniform service load over the full span:

  • Support reaction: R = wL / 2.
  • Maximum bending moment: M = wL² / 8.
  • Elastic deflection: δ = 5wL⁴ / (384EI).

Use kN/m and metres for reaction and moment. For deflection use N/mm, mm and mm⁴: 1 kN/m equals 1 N/mm, and 1 cm⁴ equals 10,000 mm⁴. E is 210,000 N/mm², from SteelConstruction.info material properties. See SCI P183 for the uniform-load deflection expression.

At a 4 m support-centre span with a total service load of 12 kN/m, a 203×133×25 section (Iₓ = 2340 cm⁴) gives 24 kN at each support, 24 kNm maximum moment and approximately 8.14 mm deflection. L/360 would be 11.11 mm. These are arithmetic outputs for an illustrative model, not proof of suitability. In particular, an L/360 target is not a universal Building Regulations limit.

Questions to ask about a load table

  • Does the span mean clear opening or distance between support centres?
  • Is the load a service load or a factored design load?
  • Are beam self-weight and any point loads included?
  • What lateral restraint and steel grade are assumed?
  • Is the stated limit for total deflection or a particular load component?

What still needs a design check

A calculated deflection is only one part of a design. Load combinations, steel grade, buckling restraint, shear, connections, bearings, masonry, vibration and fire resistance also matter. Point loads, cantilevers and continuous beams require a different model. The engineer must establish the effective span and loads from the actual building; a clear opening measurement is not sufficient.

Structural work must be designed by a chartered structural engineer and receive the applicable Building Control approval. This article has not received an independent engineering review.

About Krystian Welcel

Publisher & Developer

Krystian Welcel publishes RSJ.info and develops its web tools. His background is in software development. The site's construction guides and calculators are educational resources, not professional structural designs.

RSJ.info is an independent editorial site. Our guides and calculators are for planning only and do not replace advice from a chartered structural engineer or Building Control approval. About the publisher · LinkedIn profile