Design aids for flexural reinforcement
The design procedure for flexural design outlined below is available in How to Design Concrete Structures using Eurocode 2: Beams; this includes derived formulae based on the simplified rectangular stress block from Eurocode 2.
From How to Design Concrete Structures using Eurocode 2 (page 25, Figure 1)
Bending moments
The table below can be used to determine bending moments and shear forces for beams, provided the notes to the table are observed.
Table 1: Bending moment and shear coefficients for beams and one-way slabs
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Moment
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Shear
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Outer support
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25% of span moment
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0.45 (G+Q)
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Near middle of end span
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0.090 Gl +0.100 Ql
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At first interior support
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-0.094 (G+Q) l
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0.63 (G+Q)a
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At middle of interior spans
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0.066 Gl +0.086 Ql
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At interior supports
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-0.075 (G+Q) l
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0.50 (G+Q)
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Key
a 0.55 (G+Q) may be used adjacent to the interior span
Notes
1 l is the span, G is the total of the ULS permanent actions. Q is the total of the ULS variable actions
2 Redistribution of support moments by 15% has been included
3 Applicable to 3 or more spans only, where Qk<Gk and where the loading is substantially uniformly distributed.
4 Minimum span is > 0.85 longest span
5 Simpler coefficients for one-way spanning slabs are available in the publication 'Concise Eurocode 2'.
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How to Design Concrete Structures using Eurocode 2: Second edition
Concise Eurocode 2
