RC Detailing to Eurocode 2
Jenny Burridge
MA CEng MICE MIStructE
Head of Structural Engineering
BS EN 1990 (EC0): Basis of structural design
BS EN 1991 (EC1): Actions on Structures
BS EN 1992 (EC2): Design of concrete structures
BS EN 1993 (EC3): Design of steel structures
BS EN 1994 (EC4): Design of composite steel and concrete structures
BS EN 1995 (EC5): Design of timber structures
BS EN 1996 (EC6): Design of masonry structures
BS EN 1999 (EC9): Design of aluminium structures
BS EN 1997 (EC7): Geotechnical design
BS EN 1998 (EC8): Design of structures for earthquake resistance
Structural Eurocodes
• General
• Basis of design
• Materials
• Durability and cover to reinforcement
• Structural analysis
• Ultimate limit state
• Serviceability limit state
• Detailing of reinforcement and prestressing tendons – General
• Detailing of member and particular rules
• Additional rules for precast concrete elements and structures
• Lightweight aggregated concrete structures
• Plain and lightly reinforced concrete structures
Eurocode 2 - contents
A. (Informative) Modification of partial factors for materials
B. (Informative) Creep and shrinkage strain
C. (Normative) Reinforcement properties
D. (Informative) Detailed calculation method for prestressing steel relaxation losses
E. (Informative) Indicative Strength Classes for durability
F. (Informative) Reinforcement expressions for in-plane stress conditions
G. (Informative) Soil structure interaction
H. (Informative) Global second order effects in structures
I. (Informative) Analysis of flat slabs and shear walls
J. (Informative) Examples of regions with discontinuity in geometry or action (Detailing rules for particular situations)
Eurocode 2 - Annexes
EC2 Annex J - replaced by Annex B in PD 6687
BS EN 1992Design of concrete structures
Part 1-1: General & buildings
Part 1-2: Fire design
Part 2: Bridges
Part 3: Liquid retaining
Standards
BS EN 13670Execution of Structures
BS 4449Reinforcing
Steels
BS EN 10080Reinforcing
SteelsBS 8500Specifying Concrete
BS EN 206-1Specifying Concrete
NSCS
BS 8666Reinforcement Scheduling
National AnnexPD 6687-1 (Parts 1 & 3)
PD 6687-2 ( Part 2)
N.A.
Specification – NSCS, Finishes
NSCS Guidance:
1 Basic
2 Ordinary
3 Plain
4 Special –Visual Concrete
Labour and Material (Peri)
18%
24%
58%
Rationalisation of Reinforcement
Optimum cost depends
on:
• Material cost
• Labour
• Plant
• Preliminaries
• Finance
Team decision required
Detailing
Reinforcement
EC2 does not cover the use of plain or mild steel reinforcement
Principles and Rules are given for deformed bars, decoiled rods,
welded fabric and lattice girders.
EN 10080 provides the performance characteristics and testing methods
but does not specify the material properties. These are given in Annex
C of EC2
Reinforcement
Product form Bars and de-coiled rods Wire Fabrics
Class
A
B
C
A
B
C
Characteristic yield strength fyk or f0,2k (MPa)
400 to 600
k = (ft/fy)k
≥1,05
≥1,08
≥1,15 <1,35
≥1,05
≥1,08
≥1,15 <1,35
Characteristic strain at
maximum force, εεεεuk (%)
≥2,5
≥5,0
≥7,5
≥2,5
≥5,0
≥7,5
Fatigue stress range
(N = 2 x 106) (MPa) with an upper limit of 0.6fyk
150
100
cold worked seismichot rolled
The UK has chosen a maximum value of characteristic yield strength, fyk, = 600 MPa, but 500 MPa is the value assumed in BS 4449 and 4483 for normal supply.
Properties of reinforcement(Annex C)
Extract BS 8666
UK CARES (Certification - Product & Companies)
1. Reinforcing bar and coil
2. Reinforcing fabric
3. Steel wire for direct use of for further
processing 4. Cut and bent reinforcement
5. Welding and prefabrication of reinforcing steel
www.ukcares.co.uk www.uk-bar.org
www.ukcares.co.uk www.uk-bar.org
A
B
C
Coil up to 16mm (2.5T)
Bar – 12,14,15 and 18m
Cut and bent – approx £550 to £650/T
Reinforcement supply
Table power bender
High
Medium
Low
Potential Risk factor
Smaller diameter bars cause
less of a problem as they
can often be produced on
an automatic link bending
machine. Larger diameter
bars have to be produced on
a manual power bender with
the potential to trap the
operator’s fingers. Try to
avoid/minimise the use of
shapes which cause a scissor
action, especially with
larger diameter bars.
Boot Link.
Greater risk than shape code 51 as the
bars have to cross over twice to
achieve the shape.
Health and safety risk becomes higher
with larger diameter bar.
Also the risk increases with small
dimensions.
See Note SN2.
When bent on an automatic link bender
with small diameter bars the risk is
relatively low. When bending on a
manual bender the risk is higher,
especially with larger diameters.
64
See Note SN2.
Great care should be taken
when bending this shape. If
the operator has concerns
when producing this shape
he should consult his
supervisor.
This shape is designed for
producing small to medium
sized links in small diameter
bar.
Do not detail this shape in
large diameter bar, try to
use an alternative (eg. 2 no.
shape code 13’s facing each
other to create a shape
code 33).
See Note SN2.
Sausage Link.
Health and safety risk is high with
larger diameter bar.
Also the risk increases with small
dimensions.
When bent on an automatic link bender
with small diameter bars the risk is
relatively low. When bending on a
manual bender the risk is high,
especially with larger diameters and
non standard formers.
33
FabricatorDesignerCommentDetailSC
High Risk
33,51,56,63,64 & 99?
Health & Safety
Minimum Bending & projections
Minimum Bends
6mm - 16mm = 2x Dia Internal
20mm - 50mm = 3.5x Dia Internal
Minimum of 4 x dia between bends
End Projection = 5 x Dia from end of bend
Bending
BS8666, Table 2
Tolerances (not in EC2—BS8666)
For bars: Bar diameter
For post-tensioned tendons:
Circular ducts: Duct diameter
Rectangular ducts: The greater of:the smaller dimension or half the greater dimension
For pre-tensioned tendons:
1.5 x diameter of strand or wire2.5 x diameter of indented wire
Minimum Cover for Bond
a Axis
Distance
Reinforcement cover
Axis distance, a, to centre of bar
a = c + φφφφm/2 + φφφφl
Scope:
Part 1-2 Structural fire design gives several methods for fire engineering
Tabulated data for various elements is given in section 5
Structural Fire DesignBS EN 1992-1-2
∆∆∆∆cdev: Allowance for deviation = 10mm
A reduction in ∆∆∆∆cdev may be permitted:
• for a quality assurance system, which includes measuring concrete
cover,
10 mm ≥≥≥≥ ∆∆∆∆cdev ≥≥≥≥ 5 mm
• where very accurate measurements are taken and non conforming members are rejected (eg precast elements)
10 mm ≥≥≥≥ ∆∆∆∆cdev ≥≥≥≥ 0 mm
Allowance in Design for Deviation
Nominal cover, cnom
Minimum cover, cmin
cmin = max {cmin,b; cmin,dur ; 10 mm}
Axis distance, aFire protection
Allowance for deviation, ∆cdev
Nominal Cover
Lead-in times should be 4 weeks for rebar
Express reinforcement (and therefore expensive) 1 – 7 days
The more complicated the scheduling the longer for bending
Procurement
Practicalities
12m maximum length H20 to H40
(12m H40 = 18 stone/ 118Kg)
Health & safety
9m maximum length H16 & H12
6m maximum length H10 & H8
Transport
Fixing
Standard Detailing
Control of Cracking
In Eurocode 2 cracking is controlled in the following ways:
• Minimum areas of reinforcement cl 7.3.2 & Equ 7.1
As,minσs = kckfct,effAct this is the same as
• Crack width limits (Cl. 7.3.1 and National Annex). These
limits can be met by either:
– direct calculation (Cl. 7.3.4) – crack width is Wk – Used for liquid retaining structures
– ‘deemed to satisfy’ rules (Cl. 7.3.3)
Note: slabs ≤ 200mm depth are OK if As,min is provided.
EC2: Cl. 7.3
Minimum Reinforcement Area
The minimum area of reinforcement for slabs (and beams) is given by:
db0013.0f
dbf26.0A t
yk
tctm
min,s≥≥
EC2: Cl. 9.2.1.1, Eq 9.1N
Crack Control Without Direct Calculation
Provide minimum reinforcement.
Crack control may be achieved in two ways:
• limiting the maximum bar diameter using Table 7.2N
• limiting the maximum bar spacing using Table 7.3N
EC2: Cl. 7.3.3
Note: For cracking due to restraint use only max bar size
• Clear horizontal and vertical distance ≥ φ, (dg +5mm) or 20mm
• For separate horizontal layers the bars in each layer should be
located vertically above each other. There should be room to allow
access for vibrators and good compaction of concrete.
Spacing of barsEC2: Cl. 8.2
The design value of the ultimate bond stress, fbd = 2.25 η1η2fctdwhere fctd should be limited to C60/75
η1 =1 for ‘good’ and 0.7 for ‘poor’ bond conditions
η2 = 1 for φ ≤ 32, otherwise (132- φ)/100
a) 45º ≤≤≤≤ αααα ≤≤≤≤ 90º c) h > 250 mm
h
Direction of concreting
≥ 300
h
Direction of concreting
b) h ≤≤≤≤ 250 mm d) h > 600 mm
unhatched zone – ‘good’ bond conditions
hatched zone - ‘poor’ bond conditions
α
Direction of concreting
250
Direction of concreting
Ultimate bond stress
EC2: Cl. 8.4.2
lb,rqd = (φ φ φ φ / 4) (σσσσsd / fbd)
where σsd is the design stress of the bar at the position from where the anchorage is measured.
Basic required anchorage length
EC2: Cl. 8.4.3
• For bent bars lb,rqd should be measured along the centreline of the bar
lbd = α1 α2 α3 α4 α5 lb,rqd ≥≥≥≥ lb,min
However:
(α2 α3 α5) ≥≥≥≥ 0.7
lb,min > max(0.3lb,rqd ; 10φφφφ, 100mm)
Design Anchorage Length, lbd
EC2: Cl. 8.4.4
Alpha values
EC2: Table 8.2
Table 8.2 - Cd & K factors
EC2: Figure 8.3
EC2: Figure 8.4
Anchorage of links EC2: Cl. 8.5
l0 = α1 α2 α3 α5 α6 lb,rqd ≥≥≥≥ l0,min
α6 = (ρ1/25)0,5 but between 1.0 and 1.5
where ρ1 is the % of reinforcement lapped within 0.65l0 from the
centre of the lap
Percentage of lapped bars
relative to the total cross-
section area
< 25% 33% 50% >50%
α6 1 1.15 1.4 1.5
Note: Intermediate values may be determined by interpolation.
α1 α2 α3 α5 are as defined for anchorage length
l0,min ≥ max{0.3 α6 lb,rqd; 15φ; 200}
Design Lap Length, l0 (8.7.3)
EC2: Cl. 8.7.3
Worked example
Anchorage and lap lengths
Anchorage Worked Example
Calculate the tension anchorage for an H16 bar in the
bottom of a slab:
a) Straight bars
b) Other shape bars (Fig 8.1 b, c and d)
Concrete strength class is C25/30
Nominal cover is 25mm
Bond stress, fbdfbd = 2.25 η1 η2 fctd EC2 Equ. 8.2
η1 = 1.0 ‘Good’ bond conditions
η2 = 1.0 bar size ≤ 32
fctd = αct fctk,0,05/γc EC2 cl 3.1.6(2), Equ 3.16
αct = 1.0 γc = 1.5
fctk,0,05 = 0.7 x 0.3 fck2/3 EC2 Table 3.1
= 0.21 x 252/3
= 1.8 MPa
fctd = αct fctk,0,05/γc = 1.8/1.5 = 1.2
� fbd = 2.25 x 1.2 = 2.7 MPa
Basic anchorage length, lb,req
lb.req = (Ø/4) ( σsd/fbd) EC2 Equ 8.3
Max stress in the bar, σsd = fyk/γs = 500/1.15
= 435MPa.
lb.req = (Ø/4) ( 435/2.7)
= 40.3 Ø
For concrete class C25/30
Design anchorage length, lbd
lbd = α1 α2 α3 α4 α5 lb.req ≥ lb,min
lbd = α1 α2 α3 α4 α5 (40.3Ø) For concrete class C25/30
Alpha valuesEC2: Table 8.2 Concise: 11.4.2
Table 8.2 - Cd & K factorsConcise: Figure 11.3EC2: Figure 8.3
EC2: Figure 8.4
Design anchorage length, lbdlbd = α1 α2 α3 α4 α5 lb.req ≥ lb,min
lbd = α1 α2 α3 α4 α5 (40.3Ø) For concrete class C25/30
a) Tension anchorage – straight bar
α1 = 1.0
α3 = 1.0 conservative value with K= 0
α4 = 1.0 N/A
α5 = 1.0 conservative value
α2 = 1.0 – 0.15 (cd – Ø)/Ø
α2 = 1.0 – 0.15 (25 – 16)/16 = 0.916
lbd = 0.916 x 40.3Ø = 36.9Ø = 590mm
Design anchorage length, lbd
lbd = α1 α2 α3 α4 α5 lb.req ≥ lb,min
lbd = α1 α2 α3 α4 α5 (40.3Ø) For concrete class C25/30
b) Tension anchorage – Other shape bars
α1 = 1.0 cd = 25 is ≤ 3 Ø = 3 x 16 = 48
α3 = 1.0 conservative value with K= 0
α4 = 1.0 N/A
α5 = 1.0 conservative value
α2 = 1.0 – 0.15 (cd – 3Ø)/Ø ≤ 1.0
α2 = 1.0 – 0.15 (25 – 48)/16 = 1.25 ≤ 1.0
lbd = 1.0 x 40.3Ø = 40.3Ø = 645mm
Worked example - summary
H16 Bars – Concrete class C25/30 – 25 Nominal cover
Tension anchorage – straight bar lbd = 36.9Ø = 590mm
Tension anchorage – Other shape bars lbd = 40.3Ø = 645mm
lbd is measured along the centreline of the bar
Compression anchorage (α1 = α2 = α3 = α4 = α5 = 1.0)
lbd = 40.3Ø = 645mm
Anchorage for ‘Poor’ bond conditions = ‘Good’/0.7
Lap length = anchorage length x α6
How to design concrete structures using Eurocode 2
Anchorage & lap lengths
Arrangement of LapsEC2: Cl. 8.7.2, Fig 8.7
If more than one layer a maximum of 50% can be lapped
Arrangement of LapsEC2: Cl. 8.7.3, Fig 8.8
Anchorage of bars
F
Transverse Reinforcement
There is transverse tension – reinforcement required
F/2 F/2
θ
F tanθ
F tanθ
F F
Lapping of bars
Transverse Reinforcement
There is transverse tension – reinforcement required
• Where the diameter, φφφφ, of the lapped bars ≥ 20 mm, the transverse
reinforcement should have a total area, ΣAst ≥ 1,0As of one spliced bar. It
should be placed perpendicular to the direction of the lapped
reinforcement and between that and the surface of the concrete.
• If more than 50% of the reinforcement is lapped at one point and the
distance between adjacent laps at a section is ≤ 10 φφφφ transverse bars should
be formed by links or U bars anchored into the body of the section.
• The transverse reinforcement provided as above should be positioned at
the outer sections of the lap as shown below.
l /30
ΣA /2st
ΣA /2st
l /30
FsFs
≤150 mm
l0
Transverse Reinforcement at LapsBars in tension
EC2: Cl. 8.7.4, Fig 8.9 only if bar Ø ≥ 20mm or laps > 25%
• As,min = 0,26 (fctm/fyk)btd but ≥ 0,0013btd
• As,max = 0,04 Ac
• Section at supports should be designed for a
hogging moment ≥ 0,25 max. span moment
• Any design compression reinforcement (φ) should be held by transverse reinforcement with spacing ≤15 φ
BeamsEC2: Cl. 9.2
• Tension reinforcement in a flanged beam at
supports should be spread over the effective width
(see 5.3.2.1)
BeamsEC2: Cl. 9.2
Shear Design: Links
Variable strut method allows a shallower strut angle –
hence activating more links.
As strut angle reduces concrete stress increases
Angle = 45°V carried on 3 links Angle = 21.8° V carried on 6 links
d
V
z
x
d
x
V
θz
s
EC2: Cl. 6.2.3
• Where av ≤ 2d the applied shear force, VEd, for a point load
(eg, corbel, pile cap etc) may be reduced by a factor av/2d
where 0.5 ≤ av ≤ 2d provided:
dd
av av
− The longitudinal reinforcement is fully anchored at the support.
− Only that shear reinforcement provided within the central 0.75av is
included in the resistance.
Short Shear Spans with Direct Strut Action
EC2: Cl. 6.2.3 (8)
Note: see PD6687-1:2010 Cl 2.14 for more information.
Shear reinforcement
• Minimum shear reinforcement, ρw,min = (0,08√fck)/fyk
• Maximum longitudinal spacing, sl,max = 0,75d (1 + cotα)
• Maximum transverse spacing, st,max = 0,75d ≤ 600 mm
EC2: Cl. 9.2.2
For vertical links sl,max = 0,75d
Shear Design
d
V
z
x
d
x
V
θz
s
EC2: Cl. 6.2.3
• For members without shear reinforcement this is satisfied with al = d
a l
∆Ftd
a l
Envelope of (MEd /z +NEd)
Acting tensile force
Resisting tensile force
lbd
lbd
lbd
lbd
lbd lbd
lbd
lbd
∆Ftd
“Shift rule”
Curtailment of reinforcement
EC2: Cl. 9.2.1.3, Fig 9.2
• For members with shear reinforcement: al = 0.5 z Cot θBut it is always conservative to use al = 1.125d
• lbd is required from the line of contact of the support.
Simple support (indirect) Simple support (direct)
• As bottom steel at support ≥ 0.25 As provided in the span
• Transverse pressure may only be taken into account with
a ‘direct’ support.
Shear shift rule
al
Tensile Force Envelope
Anchorage of Bottom Reinforcement at End Supports
EC2: Cl. 9.2.1.4
Simplified Detailing Rules for Beams
≤ h /31
≤ h /21
B
A
≤ h /32
≤ h /22
supporting beam with height h1
supported beam with height h2 (h1 ≥ h2)
• The supporting reinforcement is in
addition to that required for other
reasons
A
B
• The supporting links may be placed in a zone beyond
the intersection of beams
Supporting Reinforcement at ‘Indirect’ Supports
Plan view
EC2: Cl. 9.2.5
• Curtailment – as beams except for the “Shift” rule al = d
may be used
• Flexural Reinforcement – min and max areas as beam
• Secondary transverse steel not less than 20% main
reinforcement
• Reinforcement at Free Edges
Solid slabsEC2: Cl. 9.3
• Where partial fixity exists, not taken into account in design: Internal
supports: As,top ≥ 0,25As for Mmax in adjacent span
End supports: As,top ≥ 0,15As for Mmax in adjacent span
• This top reinforcement should extend ≥ 0,2 adjacent span
Solid slabsEC2: Cl. 9.3
Distribution of moments
EC2: Table I.1
Particular rules for flat slabs
• Arrangement of reinforcement should reflect behaviour under working conditions.
• At internal columns 0.5At should be placed in a width =
0.25 × panel width.
• At least two bottom bars should pass through internal columns in each orthogonal directions.
Particular rules for flat slabs
EC2: Cl. 9.4
• h ≤ 4b
• φmin ≥ 12
• As,min = 0,10NEd/fyd but ≥ 0,002 Ac
• As,max = 0.04 Ac (0,08Ac at laps)
• Minimum number of bars in a circular column is 4.
• Where direction of longitudinal bars changes more than
1:12 the spacing of transverse reinforcement should be
calculated.
Columns
EC2: Cl. 9.5.2
• scl,tmax = min {20 φmin; b ; 400mm}
≤ 150mm
≤ 150mm
scl,tmax
• scl,tmax should be reduced by a factor 0,6:
– in sections within h above or below a beam
or slab
– near lapped joints where φ > 14.
A min of 3 bars is required in lap length
scl,tmax = min {12 φmin; 0.6b ; 240mm}
Columns
EC2: Cl. 9.5.3
Walls
• As,vmin = 0,002 Ac (half located at each face)
• As,vmax = 0.04 Ac (0,08Ac at laps)
• svmax = 3 × wall thickness or 400mm
Vertical Reinforcement
Horizontal Reinforcement
• As,hmin = 0,25 Vert. Rein. or 0,001Ac
• shmax = 400mm
Transverse Reinforcement
• Where total vert. rein. exceeds 0,02 Ac links required as for columns
• Where main rein. placed closest to face of wall links are required (at least 4No. m2). [Not required for welded mesh or bars
Ø ≤ 16mm with cover at least 2Ø.]
Detailing Comparisons
d or 150 mm from main bar9.2.2 (8): 0.75 d ≤ 600 mm
9.2.1.2 (3) or 15φ from main bar
st,max
0.75d9.2.2 (6): 0.75 dsl,max
0.4 b s/0.87 fyv9.2.2 (5): (0.08 b s √fck)/fykAsw,min
Links
Table 3.28Table 7.3NSmax
dg + 5 mm or φ8.2 (2): dg + 5 mm or φ or 20mmsmin
Spacing of Main Bars
0.04 bh9.2.1.1 (3): 0.04 bdAs,max
0.002 bh--As,min
Main Bars in Compression
0.04 bh9.2.1.1 (3): 0.04 bdAs,max
0.0013 bh9.2.1.1 (1): 0.26 fctm/fykbd ≥0.0013 bd
As,min
ValuesClause / ValuesMain Bars in Tension
BS 8110EC2Beams
Detailing Comparisons
places of maximum moment:
main: 2h ≤ 250 mm
secondary: 3h ≤ 400 mm
3d or 750 mmsecondary: 3.5h ≤ 450 mmSmax
dg + 5 mm or φ8.2 (2): dg + 5 mm or φ or 20mm
9.3.1.1 (3): main 3h ≤ 400 mm
smin
Spacing of Bars
0.04 bh9.2.1.1 (3): 0.04 bdAs,max
0.002 bh9.3.1.1 (2): 0.2As for single way
slabs
As,min
Secondary Transverse Bars
0.04 bh0.04 bdAs,max
0.0013 bh9.2.1.1 (1): 0.26 fctm/fykbd ≥0.0013 bd
As,min
ValuesClause / ValuesMain Bars in Tension
BS 8110EC2Slabs
Detailing Comparisons
Columns
150 mm from main bar9.5.3 (6): 150 mm from main bar
12φ9.5.3 (3): min (12φmin; 0.6 b;240 mm)Scl,tmax
0.25φ or 6 mm9.5.3 (1) 0.25φ or 6 mmMin size
Links
0.06 bh9.5.2 (3): 0.04 bhAs,max
0.004 bh9.5.2 (2): 0.10NEd/fyk ≤ 0.002bhAs,min
Main Bars in Compression
1.5d9.4.3 (1):
within 1st control perim.: 1.5d
outside 1st control perim.: 2d
St
0.75d9.4.3 (1): 0.75dSr
Spacing of Links
Total = 0.4ud/0.87fyv9.4.3 (2): Link leg = 0.053 sr st√(fck)/fyk
Asw,min
ValuesClause / ValuesLinks
BS 8110EC2Punching Shear
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