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2021-01-18

Background Knowledge for Definition of Effective Slab Width Used for T-beams

When defining the effective slab width of T-beams, RFEM provides the predefined widths that are determined as 1/6 and 1/8 of the member length. A more detailed explanation on these two factors is given below.

When you define the effective slab width of floor beams, the following three options are available for selection in RFEM (L = member length):

  • L/6
  • L/8
  • Effective width per side

The following explains the background for the two predefined factors, 1/6 and 1/8.

The factor 1/6 can be derived from the regulation for reinforced concrete structures according to EN 1992‑1‑1 or DIN 1045‑1. The effective width beff,i for each side must be determined as follows:

beff,i = 0.2 bi + 0.1 l0 ≤ 0.2 l0
→ max. beff,i = 0.2 l0

The equivalent span length l0 (distance of zero points of moments) depends on the structural system and is

  • the span length L for a single‑span beam
  • 0.85 L for a final span of a continuous beam,
  • 0.7 L for a middle span of a continuous beam.

This results in a maximum effective width for a final span of a continuous beam with
Max beff,i = 0.2 l0 = 0.2 ∙ 0.85 L = approximately L/6.

Factor 1/8 is based on the rules for determining the effective width bei of chord parts on both sides of the girder web in composite construction according to EN 1994‑1‑1, Section 5.4.1.2 (5). We calculate bei in composite construction as follows:

bei = l0/8

Provided that the member length L corresponds to the span length of the member, L/8 is to be used for one‑span composite beams (l0 = L).


Author

Mr. Meierhofer is the development leader of programs for concrete structures and is available for the customer support team in case of questions related to reinforced and prestressed concrete design.

Links
References
  1. DIN EN 1992-1-1:2005 (Eurocode 2): Planung von Stahlbeton- und Spannbetontragwerken – Teil 1-1: Allgemeine Bemessungsregeln und Regeln für den Hochbau. Beuth Verlag GmbH, Berlin, 2010.
  2. DIN 1045-1: Tragwerke aus Beton, Stahlbeton und Spannbeton Teil 1-1: Bemessung und Konstruktion, Kommentierte Kurzfassung. Beuth Verlag GmbH, Berlin, edition = 2. 2005.