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Design guide

Load combinations and concrete cover to the Eurocodes: 6.10, 6.10a, 6.10b and nominal cover

How EN 1990 combines loads (Expressions 6.10, 6.10a, 6.10b and the SLS combinations) and how EN 1992-1-1 sets the nominal cover to the steel.

Open the slab calculator

Plastic spacers holding the bottom bars of a slab above the plywood formwork before the pour
Reading time
4 minutes
Standard
EN 1990 and EN 1992-1-1
Clauses
6.4.3.2, 6.5.3, 4.4.1
Calculator
Slab
Updated
On this page 6 sections
  1. Characteristic loads
  2. Ultimate limit state: Expression 6.10
  3. The alternative: 6.10a and 6.10b
  4. Serviceability combinations
  5. Concrete cover
  6. Points to remember

Two things come before any section design: the design loads, from EN 1990, and the cover to the steel, from section 4 of EN 1992-1-1. Both are easy to get slightly wrong, and both change every number that follows.

The slab example, worked out below

Expression 6.10
10.931 kN/m²
1.35 Gk + 1.5 Qk
Expression 6.10a
10.031 kN/m²
governs the pair for this heavy floor
Expression 6.10b
9.742 kN/m²
ξ 1.35 Gk + 1.5 Qk
Nominal cover
20 mm
exposure class XC1

Characteristic loads

A design starts from characteristic values: the permanent load (self-weight, finishes, fixed partitions, services) and the variable imposed load from EN 1991-1-1, chosen by the use of the floor. The use category (A domestic, B offices, C places where people gather, D shops, E storage) sets both the recommended imposed load and the combination factors .

In the slab example, the slab's own weight is worked out from its thickness and added to the superimposed dead load:

EN 1991-1-1 §5.2.1, Table A.1

Self-weight of the slab

Reinforced normal-weight concrete: 24 kN/m³ + 1 kN/m³ for reinforcement (Table A.1, footnote 1).

= 4.375 kN/m²
EN 1991-1-1 §5.2.1

Characteristic permanent load

= 5.875 kN/m²
EN 1991-1-1 §6.3.1.2(8)

Characteristic imposed load

= 2.00 kN/m²

Ultimate limit state: Expression 6.10

For the strength of the structure (the STR limit state), EN 1990 gives Expression 6.10, with the recommended partial factors of Table A1.2(B):

EN 1990 §6.4.3.2(3), Eq. (6.10)
EN 1990 §A1.3.1(4), Table A1.2(B)

6.10

= 10.931 kN/m²

The alternative: 6.10a and 6.10b

EN 1990 also allows the less favourable of two expressions to be used instead, which usually gives a smaller load:

with the reduction factor recommended and from Table A1.1 (0.7 for categories A to D). The National Annex decides which expressions may be used; the UK, for example, sets . For the same slab:

EN 1990 §6.4.3.2(3), Eq. (6.10a)
EN 1990 §A1.3.1(4), Table A1.2(B)
EN 1990 §A1.2.2, Table A1.1

6.10a

= 10.031 kN/m²
EN 1990 §6.4.3.2(3), Eq. (6.10b)
EN 1990 §A1.3.1(4), Table A1.2(B)

6.10b

= 9.742 kN/m²

The larger of the two governs: here 10.031 kN/m², about 8 % less than the 10.931 kN/m² of Expression 6.10. 6.10a tends to govern where the permanent load dominates, as in heavy concrete floors with light imposed loads.

Which one governs depends only on how large the imposed load is against the permanent load. The chart works all three expressions with the calculator's own load combination for a range of ratios, as multiples of :

Design load for each expression, per unit of Gk

Imposed load of category A, Sri Lanka (NA to SLS EN 1992-1-1:2013). 6.10b governs once Qk is a sizeable share of Gk; 6.10a only for very light imposed loads. Either pair gives less than 6.10, which is why it may be used instead.

  • 6.10
  • 6.10a
  • 6.10b
1 2 3 4 5 wd / Gk 0.0 0.5 1.0 1.5 2.0 Qk / Gk 1 2 3 4 5 wd / Gk 0.0 0.5 1.0 1.5 2.0 Qk / Gk
Show the numbers
Qk / Gk6.106.10a6.10b
0.01.3501.3501.147
0.21.6501.5601.448
0.41.9501.7701.748
0.62.2501.9802.047
0.82.5502.1902.348
1.02.8502.4002.647
1.23.1502.6102.947
1.43.4502.8203.247
1.63.7503.0303.548
1.84.0503.2403.848
2.04.3503.4504.147

When a second variable action is present, such as wind, each one takes a turn as the leading action at its full value, with the others reduced by . The calculator forms every combination and uses the worst; without wind, only the imposed-load combinations appear.

Serviceability combinations

Deflection and cracking are checked under smaller, longer-term loads (6.5.3):

CombinationExpressionUsed for
Characteristicirreversible effects
Frequentreversible effects
Quasi-permanentlong-term effects: cracking and deflection of concrete
EN 1990 §6.5.3(2), Eq. (6.14b)

Characteristic combination

= 7.875 kN/m²
EN 1990 §6.5.3(2), Eq. (6.15b)
EN 1990 §A1.2.2, Table A1.1

Frequent combination

= 6.875 kN/m²
EN 1990 §6.5.3(2), Eq. (6.16b)
EN 1990 §A1.2.2, Table A1.1

Quasi-permanent combination

= 6.475 kN/m²

Concrete cover

The cover is the distance from the surface of the concrete to the nearest bar, which for a beam or column is usually a link. Clause 4.4.1 sets a nominal cover, the value shown on the drawings:

  • is for bond: at least the bar diameter (Table 4.2), more for aggregate over 32 mm.
  • is for durability, from Table 4.4N by the exposure class and the structural class.
  • allows for workmanship, 10 mm recommended.
Finding the nominal cover
  1. Exposure class and design working life
  2. Structural class: S4, then up or down by Table 4.3N
  3. cmin,dur from Table 4.4N, for durability
  4. cmin,b: at least the bar diameter, for bond
  5. cmin = the largest of the two, and 10 mm
  6. cnom = cmin + Δcdev
  7. Is the concrete cast against the ground?

    Yes

    1. At least 40 mm on blinding, 75 mm on soil

    No

    1. cnom as found
  8. Cover to the outermost bar, usually the link

The structural class starts at S4 for a 50 year working life and is moved up or down by Table 4.3N: up two classes for 100 years, down one for a strong enough concrete for the exposure class, down one for slab geometry, and down one for special quality control. For the slab example, in exposure class XC1:

EN 1992-1-1 §4.4.1.2(5), Table 4.3N

Structural class

S4 for a 50-year design working life; −1 because C30/37 ≥ C30/37; −1 for slab geometry.

= 2
EN 1992-1-1 §4.4.1.2(3), Table 4.2

Minimum cover for bond (bottom bars H10)

= 10 mm
EN 1992-1-1 §4.4.1.2(5), Table 4.4N

Minimum cover for durability (bottom bars H10)

Exposure XC1, structural class S2.

= 10 mm
EN 1992-1-1 §4.4.1.2(2)P, Eq. (4.2)

Minimum cover (bottom bars H10)

= 10 mm
EN 1992-1-1 §4.4.1.1(2)P, Eq. (4.1)

Nominal cover (bottom bars H10)

= 20 mm

Across the exposure classes, for the usual 50-year building and H12 bars, the calculator's cover rules give:

Nominal cover for each exposure class

cnom = cmin + Δcdev for structural class S4 (50-year life), H12 bars, aggregate up to 32 mm; the recommended values and the Sri Lanka annex agree.

0 20 40 60 cnom (mm) X0 XC1 XC2 XC3 XC4 XD1 XD2 XD3 XS1 XS2 XS3 0 20 40 60 cnom (mm) X0 XC1 XC2 XC3 XC4 XD1 XD2 XD3 XS1 XS2 XS3
Show the numbers
cnom (mm)
X022
XC125
XC235
XC335
XC440
XD145
XD250
XD355
XS145
XS250
XS355

Footings and members cast against the ground

Concrete cast on blinding or directly against the soil needs more cover, whatever the calculation above gives (4.4.1.3(4)): at least 40 mm on blinding and 75 mm against the soil, in the recommended values. The pad footing example in exposure class XC2:

EN 1992-1-1 §4.4.1.2(5), Table 4.3N

Structural class

S4 for a 50-year design working life.

= 4
EN 1992-1-1 §4.4.1.2(5), Table 4.4N

Minimum cover for durability

Exposure XC2, structural class S4.

= 25 mm
EN 1992-1-1 §4.4.1.1(2)P, Eq. (4.1)

Nominal cover

= 35 mm
EN 1992-1-1 §4.4.1.3(4)

Nominal cover, cast on blinding

The base is cast on a blinding layer (prepared ground), so the cover is at least k₁.

= 40 mm

Points to remember

  • Check which expressions your National Annex allows before using 6.10a and 6.10b.
  • Cover is to the outermost bar (usually the link), and the effective depth then follows from it.
  • Fire resistance may need more cover than durability; the calculator lets you enter a larger cover for fire, though it does not check fire resistance itself.

Open the slab calculator and switch the combination to the less favourable of 6.10a and 6.10b to compare.