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Concentrated load

Check of an unreinforced masonry wall under a concentrated load to ČSN EN 1996-1-1:2024 incl. the Czech National Annex: effective length lefm from the geometry of Fig. 8.2, enhancement factor βcon and resistance NRdc. It includes the check of the wall at mid-height below the bearing to 8.2.3(6) — without it the calculator never marks the result as a pass.

Concentrated load

ČSN EN 1996-1-1:2024 incl. the Czech National Annex · unreinforced wall under a concentrated load · βcon, lefm from Fig. 8.2 · check at mid-height of the wall

Masonry and material

Manufacturer data apply only to that product and system and take precedence — a product with manufacturer data does not offer the generic calculation to the standard. The generic calculation is an explicit choice for a custom unit or a product without manufacturer data.

MPa

Custom unit: clay, calcium silicate, concrete and autoclaved aerated concrete units to EN 771. Stone is outside the scope of the calculator.

Select category I / II from the manufacturer's declaration of performance / documentation. It sets γM (NA.2.1), so it is never assumed.

MPa

For thin layer mortar fm does not affect the compressive strength. It is needed only for Tables 5.5/5.6 (fm ≥ 5 MPa) — enter it from the mortar documentation; without it fxk cannot be taken from the tables.

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Adhesive foam is not a mortar to EN 998-2 and Table NA.2.1 gives no γM for it. Enter γM from the system documentation.

Advanced: manual values and creep
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MPa
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A manual value overrides both manufacturer data and the standard and is marked as manual in the calculation. Enter verified values only.

Wall and bearing

mm
m
m
m
mm
m
NEdc60°lefmhc/2aL

a1 = distance from the nearer end of the wall to the edge of the bearing is taken automatically as the smaller of aL and aR = Lw − aL − lb. lefm is determined at depth hc/2 from a 60° spread from the horizontal (Fig. 8.2) and stops at the end of the wall.

MPa

Shell bedding and units of groups 2, 3 and 4 → βcon = 1.0 (8.2.3(3)).

Characteristic strength fk valid for shell-bedded masonry from the documentation / 5.7.1.5. The manufacturer fk for full bed joints and the equations of 5.7.1.4 are not used for shell bedding — without this value the result is INCOMPLETE.

°

For unfilled perpend joints the angle follows from the bond, at least 60° (8.2.3(5)).

Advanced: manual values and creep
mm

Empty field = no reduction. Enter it if bed joints are unfilled to a depth greater than 5 mm (8.2.3(2)).

m

Empty field = lefm from the geometry of Fig. 8.2. A manual value may only reduce the spread (0 < lefm ≤ lefm from Fig. 8.2 ≤ Lw) and is marked explicitly in the calculation.

Concentrated load (ULS)

kN
mm

Signed eccentricity, positive towards face A. The bearing must lie on the wall: |ec| + bb/2 ≤ t/2. For |ec| > t/4, βcon = 1.0 (8.2.3(4)).

Check of the wall at mid-height (8.2.3(6))

To 8.2.3(6) the wall at mid-height below the bearing is always checked with all vertical loads (8.2.1). The calculator checks a strip of length lefm by the same method as the wall in compression calculator. Without this check the result is never “pass”.

m

N = NEdc + qEd·lefm + γG·gk·lefm·hc/2; M at the top = NEdc·ec + qEd·lefm·eq; Mmd = (M at the top + M2d)/2. M2d is the TOTAL design moment at the bottom for the strip of length lefm [kNm], not kNm/m; positive = resultant towards face A (as for ec and eq). An empty field is NOT zero — enter zero or select it explicitly.

Nmd and Mmd are the TOTAL design values for the strip of length lefm at mid-height [kN, kNm], not per metre; Nmd includes NEdc, other loads and self-weight (NEdc is not added). Mmd is positive when the resultant lies towards face A. ρ2 = 1.0 — the condition e < t/6 at the top cannot be verified in this mode.

kN/m
mm
kNm
kN/m²

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kN
kNm

Assumptions and scope

  • A single concentrated load on an unreinforced single-leaf wall built to Section 10; unit group to Table 5.1.
  • lefm from Fig. 8.2: 60° spread from the horizontal from the edges of the bearing, at depth hc/2, limited by the ends of the wall. Ab/Aef ≤ 0.45; 1.0 ≤ βcon ≤ min(1.25 + a1/(2hc); 1.5).
  • Check at mid-height to 8.2.3(6) on a strip of length lefm (Φm to Annex F, ρ2 without stiffened vertical edges). Without it the result is INCOMPLETE.
  • Shell bedding: the calculator does not derive fk to 5.7.1.5 — it requires a manually entered, verified fk for shell-bedded masonry; the manufacturer fk for full bed joints is not used. βcon = 1.0 (8.2.3(3)).
  • Outside the scope: several concentrated loads with overlapping lefm, spreader beams (8.2.3(7)), cavity and collar-jointed walls, chases and recesses.
  • The concentrated force and other loads are entered as design values.
  • An empty field for the mid-height check does not mean zero — zero must be entered or selected explicitly.
  • Shell bedding: the calculator does not derive fk to 5.7.1.5 — this mode requires a manually entered, verified fk valid for shell-bedded masonry; the manufacturer fk for full bed joints is not used and without the manual fk the result is INCOMPLETE.
  • The calculator checks a single concentrated load; it does not check overlapping spreads of several loads, spreader beams, cavity and collar-jointed walls or chases; it is not a substitute for a complete structural design.