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CivilKits/Calculators/Structural/Design/Eurocode/EN 1992-1-1 / beam shear

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Eurocode 2 RC beam shear resistance.

Compare the applied shear with the concrete-only resistance, required vertical links, the resistance represented by provided links, and the concrete compression-strut limit.

National Annex and scope required

This calculator implements a deliberately narrow first-generation EN 1992-1-1 beam-region model. Confirm the National Annex parameters and use a different model where axial force, prestress, torsion, support enhancement, inclined links, or disturbed regions matter.

declared calculation basis

Keep each shear limit separate.

The calculation follows the first-generation EN 1992-1-1:2004 + AC:2010 + A1:2014 framework for an ordinary beam region with no axial force. Longitudinal steel Asl must be adequately anchored beyond the section being checked.

Concrete resistance without designed shear reinforcement

EN 1992-1-1 §6.2.2VRd,c = max{CRd,ck(100ρlfck)1/3, vmin}bwd

For the displayed zero-axial-force scope, k = min(1 + √(200/d), 2), ρl = min(Asl/(bwd), 0.02), CRd,c = 0.18/γc, and vmin = 0.035k3/2√fck. National Annex values must be confirmed.

Vertical links and compression strut

EN 1992-1-1 §6.2.3VRd,s = (Asw/s)zfywdcotθ  ·  VRd,max = αcwbwzν1fcd/(cotθ + tanθ)

The page uses z = 0.9d, ν1 = 0.6(1 − fck/250), fcd = αccfck/γc, and fywd = fywk/γs. It also screens the §9.2.2 minimum vertical-link ratio ρw,min = 0.08√fck/fyk.

What this page does not check

  • Axial compression or tension, prestress, bridge-specific EN 1992-2 provisions, torsion, or shear–torsion interaction.
  • Support enhancement, loads close to supports, corbels, deep beams, openings, interfaces, or other discontinuity regions.
  • Actual link spacing, transverse leg spacing, anchorage, curtailment, fatigue, fire, durability, crack width, or deflection.
  • Actions and combinations under EN 1990/EN 1991, or selection of a country-specific National Annex.