Analysis & loads/Loads & Combinations

Loads & Combinations

EN 1991-1-1, 1-3, 1-4 (simplified) and EN 1990 · recommended values, override for your National Annex

Floor loadsEN 1991-1-1 §5, §6.3
Slab self-weight25 × t5.00 kN/m²
Permanent gkself-weight + superimposed7.70 kN/m²
Imposed qk (concentrated Qk)2.00 kN/m² (2.0 kN)
Area reduction αA5/7 ψ0 + A0/A, A0 = 10 m²0.750
Storey reduction αn(2 + (n−2) ψ0)/n, n > 20.820
Reduced qk for beams (αA)1.50 kN/m²
Reduced qk for columns (αn)1.64 kN/m²
ULS design floor load6.10, leading: Imposed13.40 kN/m²
SLS characteristic floor load9.70 kN/m²

αA and αn are alternatives, not cumulative, unless your National Annex allows both. Use the reduced values only where the code permits.

Snow on roofEN 1991-1-3 §5.2
Shape coefficient μ10.8 ≤ 30°, 0.8(60−α)/30, 0 ≥ 60°0.800
Snow load sμ1 Ce Ct sk1.20 kN/m²
Wind on building (along-wind)EN 1991-1-4 §4, §7.2.2
Basic wind speed vbcdir cseason vb,026.0 m/s
Building height H30.0 m
cpe,D / cpe,E (h/d = 1.50)Table 7.10.80 / -0.53
Net coefficientcpe,D − cpe,E1.33
Base shear1216 kN
Overturning moment20857 kNm
Floorz (m)qp (kN/m²)Trib. height (m)Force (kN)
1030.01.3071.577.9
927.01.2753.0152.1
824.01.2403.0147.9
721.01.2013.0143.3
618.01.1573.0138.0
515.01.1053.0131.8
412.01.0433.0124.4
39.00.9663.0115.2
26.00.8613.0102.6
13.00.6933.082.6

Simplified: external pressures on walls only (no internal pressure, no roof, no dynamic or vortex effects), flat terrain (co = 1), pressure evaluated at each floor level. Check cdir, cseason, vb,0 and cscd against your National Annex.

3D view: building with wind, imposed and snow loads
Load combinationsEN 1990 §6.4.3, Table A1.1
TypeCombinationGImposedSnowWind
ULS6.10, leading: Imposed1.3501.5000.7500.900
ULS6.10, leading: Snow1.3501.0501.5000.900
ULS6.10, leading: Wind1.3501.0500.7501.500
SLS-characteristicCharacteristic, leading: Imposed1.0001.0000.5000.600
SLS-characteristicCharacteristic, leading: Snow1.0000.7001.0000.600
SLS-characteristicCharacteristic, leading: Wind1.0000.7000.5001.000
SLS-frequentFrequent, leading: Imposed1.0000.5000.0000.000
SLS-frequentFrequent, leading: Snow1.0000.3000.2000.000
SLS-frequentFrequent, leading: Wind1.0000.3000.0000.200
SLS-quasi-permanentQuasi-permanent1.0000.3000.0000.000

Coefficients multiply the characteristic permanent (G) and variable actions. ψ factors: A/B 0.7/0.5/0.3, C/D 0.7/0.7/0.6, storage 1.0/0.9/0.8, snow 0.5/0.2/0, wind 0.6/0.2/0 (EN 1990 recommended).

Results are an aid only and must be verified by a qualified, licensed engineer. Values are EN recommended values; National Annexes differ.