SlideShare a Scribd company logo
1 of 39
Download to read offline
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 1992
Design of concrete structures
Part 1-1: General & buildings
Part 1-2: Fire design
Part 2: Bridges
Part 3: Liquid retaining
Standards
BS EN 13670
Execution of
Structures
BS 4449
Reinforcing
Steels
BS EN 10080
Reinforcing
SteelsBS 8500
Specifying
Concrete
BS EN 206-1
Specifying
Concrete
NSCS
BS 8666
Reinforcement
Scheduling
National Annex
PD 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 wire
2.5 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 Design
BS 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, a
Fire 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:
db0013.0
f
dbf26.0
A 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 bars
EC2: Cl. 8.2
The design value of the ultimate bond stress, fbd = 2.25 η1η2fctd
where 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 = (φφφφ / 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, fbd
fbd = 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 fck
2/3 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 values
EC2: Table 8.2 Concise: 11.4.2
Table 8.2 - Cd & K factors
Concise: Figure 11.3EC2: Figure 8.3
EC2: Figure 8.4
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
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 Laps
EC2: Cl. 8.7.2, Fig 8.7
If more than one layer a maximum
of 50% can be lapped
Arrangement of Laps
EC2: 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 Laps
Bars 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
Beams
EC2: Cl. 9.2
• Tension reinforcement in a flanged beam at
supports should be spread over the effective width
(see 5.3.2.1)
Beams
EC2: 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
θ
z
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
θ
z
s
EC2: Cl. 6.2.3
• For members without shear reinforcement this is satisfied with al = d
al
∆Ftd
al
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 θ
But 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 slabs
EC2: 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 slabs
EC2: 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
How to…Compendium
Detailing
Keep up to date
Download:
• Column charts
• Derivations
• Worked examples
• How to… guides
• & more
www.eurocode2.info

More Related Content

What's hot

CE 72.52 - Lecture 5 - Column Design
CE 72.52 - Lecture 5 - Column DesignCE 72.52 - Lecture 5 - Column Design
CE 72.52 - Lecture 5 - Column DesignFawad Najam
 
CE 72.32 (January 2016 Semester): Lecture 1b: Analysis and Design of Tall Bui...
CE 72.32 (January 2016 Semester): Lecture 1b: Analysis and Design of Tall Bui...CE 72.32 (January 2016 Semester): Lecture 1b: Analysis and Design of Tall Bui...
CE 72.32 (January 2016 Semester): Lecture 1b: Analysis and Design of Tall Bui...Fawad Najam
 
Anchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footingsAnchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footingskarthickcivic
 
CE 72.52 - Lecture 8a - Retrofitting of RC Members
CE 72.52 - Lecture 8a - Retrofitting of RC MembersCE 72.52 - Lecture 8a - Retrofitting of RC Members
CE 72.52 - Lecture 8a - Retrofitting of RC MembersFawad Najam
 
CE 72.52 - Lecture 7 - Strut and Tie Models
CE 72.52 - Lecture 7 - Strut and Tie ModelsCE 72.52 - Lecture 7 - Strut and Tie Models
CE 72.52 - Lecture 7 - Strut and Tie ModelsFawad Najam
 
AITC Coupling Beam Design Procedure (20151106)
AITC Coupling Beam Design Procedure (20151106)AITC Coupling Beam Design Procedure (20151106)
AITC Coupling Beam Design Procedure (20151106)Fawad Najam
 
Connection and Bracing
Connection and BracingConnection and Bracing
Connection and Bracingsuddal
 
Guide to the design and construction of reinforced concrete flat slabs (1)
Guide to the design and construction of reinforced concrete flat slabs (1)Guide to the design and construction of reinforced concrete flat slabs (1)
Guide to the design and construction of reinforced concrete flat slabs (1)abbdou001
 
Overview of Direct Analysis Method of Design for
Overview of Direct Analysis Method of Design forOverview of Direct Analysis Method of Design for
Overview of Direct Analysis Method of Design forRyan Brotherson
 
CE 72.32 (January 2016 Semester) Lecture 4 - Selection of Structural Systems
CE 72.32 (January 2016 Semester) Lecture 4 - Selection of Structural SystemsCE 72.32 (January 2016 Semester) Lecture 4 - Selection of Structural Systems
CE 72.32 (January 2016 Semester) Lecture 4 - Selection of Structural SystemsFawad Najam
 
CE 72.32 (January 2016 Semester) Lecture 8 - Structural Analysis for Lateral ...
CE 72.32 (January 2016 Semester) Lecture 8 - Structural Analysis for Lateral ...CE 72.32 (January 2016 Semester) Lecture 8 - Structural Analysis for Lateral ...
CE 72.32 (January 2016 Semester) Lecture 8 - Structural Analysis for Lateral ...Fawad Najam
 
Civil structural engineering - Flat slab design
Civil structural engineering -  Flat slab designCivil structural engineering -  Flat slab design
Civil structural engineering - Flat slab designSatish Narayan
 
CE72.52 - Lecture 3b - Section Behavior - Shear and Torsion
CE72.52 - Lecture 3b - Section Behavior - Shear and TorsionCE72.52 - Lecture 3b - Section Behavior - Shear and Torsion
CE72.52 - Lecture 3b - Section Behavior - Shear and TorsionFawad Najam
 
SEISMIC EVALUATION
SEISMIC EVALUATIONSEISMIC EVALUATION
SEISMIC EVALUATIONJKIB93
 
Seismic Design of RC Diaphragms, Chords, and Collectors
Seismic Design of RC Diaphragms, Chords, and CollectorsSeismic Design of RC Diaphragms, Chords, and Collectors
Seismic Design of RC Diaphragms, Chords, and CollectorsRuangRangka
 
Cfst columns
Cfst columns Cfst columns
Cfst columns amits2280
 

What's hot (20)

CE 72.52 - Lecture 5 - Column Design
CE 72.52 - Lecture 5 - Column DesignCE 72.52 - Lecture 5 - Column Design
CE 72.52 - Lecture 5 - Column Design
 
CE 72.32 (January 2016 Semester): Lecture 1b: Analysis and Design of Tall Bui...
CE 72.32 (January 2016 Semester): Lecture 1b: Analysis and Design of Tall Bui...CE 72.32 (January 2016 Semester): Lecture 1b: Analysis and Design of Tall Bui...
CE 72.32 (January 2016 Semester): Lecture 1b: Analysis and Design of Tall Bui...
 
Anchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footingsAnchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footings
 
Shear wall
Shear wallShear wall
Shear wall
 
CE 72.52 - Lecture 8a - Retrofitting of RC Members
CE 72.52 - Lecture 8a - Retrofitting of RC MembersCE 72.52 - Lecture 8a - Retrofitting of RC Members
CE 72.52 - Lecture 8a - Retrofitting of RC Members
 
CE 72.52 - Lecture 7 - Strut and Tie Models
CE 72.52 - Lecture 7 - Strut and Tie ModelsCE 72.52 - Lecture 7 - Strut and Tie Models
CE 72.52 - Lecture 7 - Strut and Tie Models
 
AITC Coupling Beam Design Procedure (20151106)
AITC Coupling Beam Design Procedure (20151106)AITC Coupling Beam Design Procedure (20151106)
AITC Coupling Beam Design Procedure (20151106)
 
Design notes for seismic design of building accordance to Eurocode 8
Design notes for seismic design of building accordance to Eurocode 8 Design notes for seismic design of building accordance to Eurocode 8
Design notes for seismic design of building accordance to Eurocode 8
 
Connection and Bracing
Connection and BracingConnection and Bracing
Connection and Bracing
 
Strut and Tie Model for Pile Cap
Strut and Tie Model for Pile CapStrut and Tie Model for Pile Cap
Strut and Tie Model for Pile Cap
 
Guide to the design and construction of reinforced concrete flat slabs (1)
Guide to the design and construction of reinforced concrete flat slabs (1)Guide to the design and construction of reinforced concrete flat slabs (1)
Guide to the design and construction of reinforced concrete flat slabs (1)
 
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8 ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8
 
Overview of Direct Analysis Method of Design for
Overview of Direct Analysis Method of Design forOverview of Direct Analysis Method of Design for
Overview of Direct Analysis Method of Design for
 
CE 72.32 (January 2016 Semester) Lecture 4 - Selection of Structural Systems
CE 72.32 (January 2016 Semester) Lecture 4 - Selection of Structural SystemsCE 72.32 (January 2016 Semester) Lecture 4 - Selection of Structural Systems
CE 72.32 (January 2016 Semester) Lecture 4 - Selection of Structural Systems
 
CE 72.32 (January 2016 Semester) Lecture 8 - Structural Analysis for Lateral ...
CE 72.32 (January 2016 Semester) Lecture 8 - Structural Analysis for Lateral ...CE 72.32 (January 2016 Semester) Lecture 8 - Structural Analysis for Lateral ...
CE 72.32 (January 2016 Semester) Lecture 8 - Structural Analysis for Lateral ...
 
Civil structural engineering - Flat slab design
Civil structural engineering -  Flat slab designCivil structural engineering -  Flat slab design
Civil structural engineering - Flat slab design
 
CE72.52 - Lecture 3b - Section Behavior - Shear and Torsion
CE72.52 - Lecture 3b - Section Behavior - Shear and TorsionCE72.52 - Lecture 3b - Section Behavior - Shear and Torsion
CE72.52 - Lecture 3b - Section Behavior - Shear and Torsion
 
SEISMIC EVALUATION
SEISMIC EVALUATIONSEISMIC EVALUATION
SEISMIC EVALUATION
 
Seismic Design of RC Diaphragms, Chords, and Collectors
Seismic Design of RC Diaphragms, Chords, and CollectorsSeismic Design of RC Diaphragms, Chords, and Collectors
Seismic Design of RC Diaphragms, Chords, and Collectors
 
Cfst columns
Cfst columns Cfst columns
Cfst columns
 

Viewers also liked

Sp 34-1987 handbook on reinforcement and detailing
Sp 34-1987 handbook on reinforcement and detailingSp 34-1987 handbook on reinforcement and detailing
Sp 34-1987 handbook on reinforcement and detailingjemmabarsby
 
Trusses Method Of Sections
Trusses  Method Of  SectionsTrusses  Method Of  Sections
Trusses Method Of SectionsAmr Hamed
 
Design.guide.post tensioned.concrete.floors-cps
Design.guide.post tensioned.concrete.floors-cpsDesign.guide.post tensioned.concrete.floors-cps
Design.guide.post tensioned.concrete.floors-cpsLuan Truong Van
 
29 JUN-2015 - ACI SP66 (040 RE-BAR DETAILING MANUALl
29 JUN-2015 - ACI SP66 (040 RE-BAR DETAILING MANUALl29 JUN-2015 - ACI SP66 (040 RE-BAR DETAILING MANUALl
29 JUN-2015 - ACI SP66 (040 RE-BAR DETAILING MANUALlpeakpilgrim
 
Civil Engineering (Beams,Columns)
Civil Engineering (Beams,Columns)Civil Engineering (Beams,Columns)
Civil Engineering (Beams,Columns)mbrsalman
 
Simplified design of reinforced concrete buildings
Simplified design of reinforced concrete buildings Simplified design of reinforced concrete buildings
Simplified design of reinforced concrete buildings Sarmed Shukur
 
bs4466 v bs8666
 bs4466 v bs8666 bs4466 v bs8666
bs4466 v bs8666peakpilgrim
 
Mag tig welding (messer)
Mag tig welding (messer)Mag tig welding (messer)
Mag tig welding (messer)Nguyen Tung
 
HD GROTHKOP GMBH BAUAUSFÜHRUNGEN
HD GROTHKOP GMBH BAUAUSFÜHRUNGEN HD GROTHKOP GMBH BAUAUSFÜHRUNGEN
HD GROTHKOP GMBH BAUAUSFÜHRUNGEN Werner Mueller
 
Aci 04 detaling-manual
Aci 04 detaling-manualAci 04 detaling-manual
Aci 04 detaling-manualMd. Rasal Mia
 
Bs 1881 108(2) 1983
Bs 1881 108(2) 1983Bs 1881 108(2) 1983
Bs 1881 108(2) 1983EPMC TUNISIA
 
Cold-Formed-Steel Design And Construction ( Steel Structure )
Cold-Formed-Steel Design And Construction ( Steel Structure )Cold-Formed-Steel Design And Construction ( Steel Structure )
Cold-Formed-Steel Design And Construction ( Steel Structure )Hossam Shafiq I
 

Viewers also liked (20)

Sp 34-1987 handbook on reinforcement and detailing
Sp 34-1987 handbook on reinforcement and detailingSp 34-1987 handbook on reinforcement and detailing
Sp 34-1987 handbook on reinforcement and detailing
 
2751
27512751
2751
 
Trusses Method Of Sections
Trusses  Method Of  SectionsTrusses  Method Of  Sections
Trusses Method Of Sections
 
Bsen 934 p6
Bsen 934 p6Bsen 934 p6
Bsen 934 p6
 
Design.guide.post tensioned.concrete.floors-cps
Design.guide.post tensioned.concrete.floors-cpsDesign.guide.post tensioned.concrete.floors-cps
Design.guide.post tensioned.concrete.floors-cps
 
29 JUN-2015 - ACI SP66 (040 RE-BAR DETAILING MANUALl
29 JUN-2015 - ACI SP66 (040 RE-BAR DETAILING MANUALl29 JUN-2015 - ACI SP66 (040 RE-BAR DETAILING MANUALl
29 JUN-2015 - ACI SP66 (040 RE-BAR DETAILING MANUALl
 
Calculating truss forces
Calculating truss forcesCalculating truss forces
Calculating truss forces
 
Civil Engineering (Beams,Columns)
Civil Engineering (Beams,Columns)Civil Engineering (Beams,Columns)
Civil Engineering (Beams,Columns)
 
Simplified design of reinforced concrete buildings
Simplified design of reinforced concrete buildings Simplified design of reinforced concrete buildings
Simplified design of reinforced concrete buildings
 
bs4466 v bs8666
 bs4466 v bs8666 bs4466 v bs8666
bs4466 v bs8666
 
Mag tig welding (messer)
Mag tig welding (messer)Mag tig welding (messer)
Mag tig welding (messer)
 
HD GROTHKOP GMBH BAUAUSFÜHRUNGEN
HD GROTHKOP GMBH BAUAUSFÜHRUNGEN HD GROTHKOP GMBH BAUAUSFÜHRUNGEN
HD GROTHKOP GMBH BAUAUSFÜHRUNGEN
 
Bsen 934 p2
Bsen 934 p2Bsen 934 p2
Bsen 934 p2
 
Aci 04 detaling-manual
Aci 04 detaling-manualAci 04 detaling-manual
Aci 04 detaling-manual
 
Welding
Welding Welding
Welding
 
Bs 1881 108(2) 1983
Bs 1881 108(2) 1983Bs 1881 108(2) 1983
Bs 1881 108(2) 1983
 
How To Design Concrete Structures Using Eurocode 2
How To Design Concrete Structures Using Eurocode 2How To Design Concrete Structures Using Eurocode 2
How To Design Concrete Structures Using Eurocode 2
 
Cold-Formed-Steel Design And Construction ( Steel Structure )
Cold-Formed-Steel Design And Construction ( Steel Structure )Cold-Formed-Steel Design And Construction ( Steel Structure )
Cold-Formed-Steel Design And Construction ( Steel Structure )
 
Truss
TrussTruss
Truss
 
Truss examples
Truss examplesTruss examples
Truss examples
 

Similar to Okay, here are the steps to calculate the anchorage lengths:a) Straight bars:- Design stress in bar (σsd) = 100 MPa - Bar diameter (φ) = 16 mm- Bond stress (fbd) for C25/30 = 2.25 x 1 x 1 x 3 = 6.75 MPa (Table NA.2)- Required anchorage length (lb,rqd) = (φ/4) x (σsd/fbd) = (16/4) x (100/6.75) = 588 mm- Minimum anchorage length (lb,min) = max(0.3 x lb,rqd, 10φ

Lecture-7-Detailing-PHG-A1-Rev-10-2-Nov-16-Print.pptx
Lecture-7-Detailing-PHG-A1-Rev-10-2-Nov-16-Print.pptxLecture-7-Detailing-PHG-A1-Rev-10-2-Nov-16-Print.pptx
Lecture-7-Detailing-PHG-A1-Rev-10-2-Nov-16-Print.pptxAbelMulugeta8
 
Sd i-module2- rajesh sir
Sd i-module2- rajesh sirSd i-module2- rajesh sir
Sd i-module2- rajesh sirSHAMJITH KM
 
OVM250 Stay Cable System.ppt
OVM250 Stay Cable System.pptOVM250 Stay Cable System.ppt
OVM250 Stay Cable System.pptSaritaJoshi5
 
Study on Strengthening of Corrosion Damaged Rcc Beam by Ferrocement
Study on Strengthening of Corrosion Damaged Rcc Beam by FerrocementStudy on Strengthening of Corrosion Damaged Rcc Beam by Ferrocement
Study on Strengthening of Corrosion Damaged Rcc Beam by FerrocementIRJET Journal
 
Seismic resilience performance of braced ductile thin shear panel with and wi...
Seismic resilience performance of braced ductile thin shear panel with and wi...Seismic resilience performance of braced ductile thin shear panel with and wi...
Seismic resilience performance of braced ductile thin shear panel with and wi...IRJET Journal
 
IRJET- Flexural Behaviour of RCC Beam with Partially Replaced Concrete be...
IRJET-  	  Flexural Behaviour of RCC Beam with Partially Replaced Concrete be...IRJET-  	  Flexural Behaviour of RCC Beam with Partially Replaced Concrete be...
IRJET- Flexural Behaviour of RCC Beam with Partially Replaced Concrete be...IRJET Journal
 
Pipelines welding handbook_welding_techn
Pipelines welding handbook_welding_technPipelines welding handbook_welding_techn
Pipelines welding handbook_welding_technAshraf Shaikh
 
Study of Steel Moment Resisting Frame with Reduced Beam Section
Study of Steel Moment Resisting Frame with Reduced Beam SectionStudy of Steel Moment Resisting Frame with Reduced Beam Section
Study of Steel Moment Resisting Frame with Reduced Beam SectionIJERA Editor
 
ISO 898-2 2012 Fasteners — Mechanical properties of fasteners made of carbon ...
ISO 898-2 2012 Fasteners — Mechanical properties of fasteners made of carbon ...ISO 898-2 2012 Fasteners — Mechanical properties of fasteners made of carbon ...
ISO 898-2 2012 Fasteners — Mechanical properties of fasteners made of carbon ...QuangTo19
 
Analysis of Cold Formed Steel Connections using FEM
Analysis of Cold Formed Steel Connections using FEMAnalysis of Cold Formed Steel Connections using FEM
Analysis of Cold Formed Steel Connections using FEMIRJET Journal
 
Cover for reinforcement
Cover for reinforcementCover for reinforcement
Cover for reinforcementMoofajBuhari
 
Strengthening of Reinforced Concrete Beams in Flexure using Near Surface Moun...
Strengthening of Reinforced Concrete Beams in Flexure using Near Surface Moun...Strengthening of Reinforced Concrete Beams in Flexure using Near Surface Moun...
Strengthening of Reinforced Concrete Beams in Flexure using Near Surface Moun...IRJET Journal
 
Charles Endirect - Central Earth Terminal (CET) for Steel Wire Armour (SWA) C...
Charles Endirect - Central Earth Terminal (CET) for Steel Wire Armour (SWA) C...Charles Endirect - Central Earth Terminal (CET) for Steel Wire Armour (SWA) C...
Charles Endirect - Central Earth Terminal (CET) for Steel Wire Armour (SWA) C...Thorne & Derrick International
 
IRJET- Comparative Analysis of Concrete Filled Steel Tubular Truss Bridge wit...
IRJET- Comparative Analysis of Concrete Filled Steel Tubular Truss Bridge wit...IRJET- Comparative Analysis of Concrete Filled Steel Tubular Truss Bridge wit...
IRJET- Comparative Analysis of Concrete Filled Steel Tubular Truss Bridge wit...IRJET Journal
 

Similar to Okay, here are the steps to calculate the anchorage lengths:a) Straight bars:- Design stress in bar (σsd) = 100 MPa - Bar diameter (φ) = 16 mm- Bond stress (fbd) for C25/30 = 2.25 x 1 x 1 x 3 = 6.75 MPa (Table NA.2)- Required anchorage length (lb,rqd) = (φ/4) x (σsd/fbd) = (16/4) x (100/6.75) = 588 mm- Minimum anchorage length (lb,min) = max(0.3 x lb,rqd, 10φ (20)

Lecture-7-Detailing-PHG-A1-Rev-10-2-Nov-16-Print.pptx
Lecture-7-Detailing-PHG-A1-Rev-10-2-Nov-16-Print.pptxLecture-7-Detailing-PHG-A1-Rev-10-2-Nov-16-Print.pptx
Lecture-7-Detailing-PHG-A1-Rev-10-2-Nov-16-Print.pptx
 
Sd i-module2- rajesh sir
Sd i-module2- rajesh sirSd i-module2- rajesh sir
Sd i-module2- rajesh sir
 
OVM250 Stay Cable System.ppt
OVM250 Stay Cable System.pptOVM250 Stay Cable System.ppt
OVM250 Stay Cable System.ppt
 
9417
94179417
9417
 
Study on Strengthening of Corrosion Damaged Rcc Beam by Ferrocement
Study on Strengthening of Corrosion Damaged Rcc Beam by FerrocementStudy on Strengthening of Corrosion Damaged Rcc Beam by Ferrocement
Study on Strengthening of Corrosion Damaged Rcc Beam by Ferrocement
 
pipe-stress-analysis-work.ppt
pipe-stress-analysis-work.pptpipe-stress-analysis-work.ppt
pipe-stress-analysis-work.ppt
 
Seismic resilience performance of braced ductile thin shear panel with and wi...
Seismic resilience performance of braced ductile thin shear panel with and wi...Seismic resilience performance of braced ductile thin shear panel with and wi...
Seismic resilience performance of braced ductile thin shear panel with and wi...
 
BBS Preparation
BBS PreparationBBS Preparation
BBS Preparation
 
IRJET- Flexural Behaviour of RCC Beam with Partially Replaced Concrete be...
IRJET-  	  Flexural Behaviour of RCC Beam with Partially Replaced Concrete be...IRJET-  	  Flexural Behaviour of RCC Beam with Partially Replaced Concrete be...
IRJET- Flexural Behaviour of RCC Beam with Partially Replaced Concrete be...
 
Pipelines welding handbook_welding_techn
Pipelines welding handbook_welding_technPipelines welding handbook_welding_techn
Pipelines welding handbook_welding_techn
 
Study of Steel Moment Resisting Frame with Reduced Beam Section
Study of Steel Moment Resisting Frame with Reduced Beam SectionStudy of Steel Moment Resisting Frame with Reduced Beam Section
Study of Steel Moment Resisting Frame with Reduced Beam Section
 
ISO 898-2 2012 Fasteners — Mechanical properties of fasteners made of carbon ...
ISO 898-2 2012 Fasteners — Mechanical properties of fasteners made of carbon ...ISO 898-2 2012 Fasteners — Mechanical properties of fasteners made of carbon ...
ISO 898-2 2012 Fasteners — Mechanical properties of fasteners made of carbon ...
 
Analysis of Cold Formed Steel Connections using FEM
Analysis of Cold Formed Steel Connections using FEMAnalysis of Cold Formed Steel Connections using FEM
Analysis of Cold Formed Steel Connections using FEM
 
Cover for reinforcement
Cover for reinforcementCover for reinforcement
Cover for reinforcement
 
Strengthening of Reinforced Concrete Beams in Flexure using Near Surface Moun...
Strengthening of Reinforced Concrete Beams in Flexure using Near Surface Moun...Strengthening of Reinforced Concrete Beams in Flexure using Near Surface Moun...
Strengthening of Reinforced Concrete Beams in Flexure using Near Surface Moun...
 
Charles Endirect - Central Earth Terminal (CET) for Steel Wire Armour (SWA) C...
Charles Endirect - Central Earth Terminal (CET) for Steel Wire Armour (SWA) C...Charles Endirect - Central Earth Terminal (CET) for Steel Wire Armour (SWA) C...
Charles Endirect - Central Earth Terminal (CET) for Steel Wire Armour (SWA) C...
 
LV & MV Hydrocarbon Resistant_cable_joints-
LV & MV Hydrocarbon Resistant_cable_joints-LV & MV Hydrocarbon Resistant_cable_joints-
LV & MV Hydrocarbon Resistant_cable_joints-
 
Astm b 88-03
Astm b  88-03Astm b  88-03
Astm b 88-03
 
IRJET- Comparative Analysis of Concrete Filled Steel Tubular Truss Bridge wit...
IRJET- Comparative Analysis of Concrete Filled Steel Tubular Truss Bridge wit...IRJET- Comparative Analysis of Concrete Filled Steel Tubular Truss Bridge wit...
IRJET- Comparative Analysis of Concrete Filled Steel Tubular Truss Bridge wit...
 
RCC beam Detail estimate
RCC beam Detail estimate RCC beam Detail estimate
RCC beam Detail estimate
 

Recently uploaded

DragonBall PowerPoint Template for demo.pptx
DragonBall PowerPoint Template for demo.pptxDragonBall PowerPoint Template for demo.pptx
DragonBall PowerPoint Template for demo.pptxmirandajeremy200221
 
CALL ON ➥8923113531 🔝Call Girls Kalyanpur Lucknow best Female service 🧵
CALL ON ➥8923113531 🔝Call Girls Kalyanpur Lucknow best Female service  🧵CALL ON ➥8923113531 🔝Call Girls Kalyanpur Lucknow best Female service  🧵
CALL ON ➥8923113531 🔝Call Girls Kalyanpur Lucknow best Female service 🧵anilsa9823
 
Fashion trends before and after covid.pptx
Fashion trends before and after covid.pptxFashion trends before and after covid.pptx
Fashion trends before and after covid.pptxVanshNarang19
 
NO1 Famous Amil Baba In Karachi Kala Jadu In Karachi Amil baba In Karachi Add...
NO1 Famous Amil Baba In Karachi Kala Jadu In Karachi Amil baba In Karachi Add...NO1 Famous Amil Baba In Karachi Kala Jadu In Karachi Amil baba In Karachi Add...
NO1 Famous Amil Baba In Karachi Kala Jadu In Karachi Amil baba In Karachi Add...Amil baba
 
Call Girls In Safdarjung Enclave 24/7✡️9711147426✡️ Escorts Service
Call Girls In Safdarjung Enclave 24/7✡️9711147426✡️ Escorts ServiceCall Girls In Safdarjung Enclave 24/7✡️9711147426✡️ Escorts Service
Call Girls In Safdarjung Enclave 24/7✡️9711147426✡️ Escorts Servicejennyeacort
 
SD_The MATATAG Curriculum Training Design.pptx
SD_The MATATAG Curriculum Training Design.pptxSD_The MATATAG Curriculum Training Design.pptx
SD_The MATATAG Curriculum Training Design.pptxjanettecruzeiro1
 
VIP Call Girl Amravati Aashi 8250192130 Independent Escort Service Amravati
VIP Call Girl Amravati Aashi 8250192130 Independent Escort Service AmravatiVIP Call Girl Amravati Aashi 8250192130 Independent Escort Service Amravati
VIP Call Girl Amravati Aashi 8250192130 Independent Escort Service AmravatiSuhani Kapoor
 
Abu Dhabi Call Girls O58993O4O2 Call Girls in Abu Dhabi`
Abu Dhabi Call Girls O58993O4O2 Call Girls in Abu Dhabi`Abu Dhabi Call Girls O58993O4O2 Call Girls in Abu Dhabi`
Abu Dhabi Call Girls O58993O4O2 Call Girls in Abu Dhabi`dajasot375
 
VIP Call Girls Service Kukatpally Hyderabad Call +91-8250192130
VIP Call Girls Service Kukatpally Hyderabad Call +91-8250192130VIP Call Girls Service Kukatpally Hyderabad Call +91-8250192130
VIP Call Girls Service Kukatpally Hyderabad Call +91-8250192130Suhani Kapoor
 
call girls in Harsh Vihar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Harsh Vihar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Harsh Vihar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Harsh Vihar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️9953056974 Low Rate Call Girls In Saket, Delhi NCR
 
Revit Understanding Reference Planes and Reference lines in Revit for Family ...
Revit Understanding Reference Planes and Reference lines in Revit for Family ...Revit Understanding Reference Planes and Reference lines in Revit for Family ...
Revit Understanding Reference Planes and Reference lines in Revit for Family ...Narsimha murthy
 
Cheap Rate Call girls Malviya Nagar 9205541914 shot 1500 night
Cheap Rate Call girls Malviya Nagar 9205541914 shot 1500 nightCheap Rate Call girls Malviya Nagar 9205541914 shot 1500 night
Cheap Rate Call girls Malviya Nagar 9205541914 shot 1500 nightDelhi Call girls
 
Cosumer Willingness to Pay for Sustainable Bricks
Cosumer Willingness to Pay for Sustainable BricksCosumer Willingness to Pay for Sustainable Bricks
Cosumer Willingness to Pay for Sustainable Bricksabhishekparmar618
 
3D Printing And Designing Final Report.pdf
3D Printing And Designing Final Report.pdf3D Printing And Designing Final Report.pdf
3D Printing And Designing Final Report.pdfSwaraliBorhade
 
Call Girls in Kalkaji Delhi 8264348440 call girls ❤️
Call Girls in Kalkaji Delhi 8264348440 call girls ❤️Call Girls in Kalkaji Delhi 8264348440 call girls ❤️
Call Girls in Kalkaji Delhi 8264348440 call girls ❤️soniya singh
 
How to Be Famous in your Field just visit our Site
How to Be Famous in your Field just visit our SiteHow to Be Famous in your Field just visit our Site
How to Be Famous in your Field just visit our Sitegalleryaagency
 
SCRIP Lua HTTP PROGRACMACION PLC WECON CA
SCRIP Lua HTTP PROGRACMACION PLC  WECON CASCRIP Lua HTTP PROGRACMACION PLC  WECON CA
SCRIP Lua HTTP PROGRACMACION PLC WECON CANestorGamez6
 
VIP Kolkata Call Girl Gariahat 👉 8250192130 Available With Room
VIP Kolkata Call Girl Gariahat 👉 8250192130  Available With RoomVIP Kolkata Call Girl Gariahat 👉 8250192130  Available With Room
VIP Kolkata Call Girl Gariahat 👉 8250192130 Available With Roomdivyansh0kumar0
 
Captivating Charm: Exploring Marseille's Hillside Villas with Our 3D Architec...
Captivating Charm: Exploring Marseille's Hillside Villas with Our 3D Architec...Captivating Charm: Exploring Marseille's Hillside Villas with Our 3D Architec...
Captivating Charm: Exploring Marseille's Hillside Villas with Our 3D Architec...Yantram Animation Studio Corporation
 

Recently uploaded (20)

DragonBall PowerPoint Template for demo.pptx
DragonBall PowerPoint Template for demo.pptxDragonBall PowerPoint Template for demo.pptx
DragonBall PowerPoint Template for demo.pptx
 
CALL ON ➥8923113531 🔝Call Girls Kalyanpur Lucknow best Female service 🧵
CALL ON ➥8923113531 🔝Call Girls Kalyanpur Lucknow best Female service  🧵CALL ON ➥8923113531 🔝Call Girls Kalyanpur Lucknow best Female service  🧵
CALL ON ➥8923113531 🔝Call Girls Kalyanpur Lucknow best Female service 🧵
 
Fashion trends before and after covid.pptx
Fashion trends before and after covid.pptxFashion trends before and after covid.pptx
Fashion trends before and after covid.pptx
 
NO1 Famous Amil Baba In Karachi Kala Jadu In Karachi Amil baba In Karachi Add...
NO1 Famous Amil Baba In Karachi Kala Jadu In Karachi Amil baba In Karachi Add...NO1 Famous Amil Baba In Karachi Kala Jadu In Karachi Amil baba In Karachi Add...
NO1 Famous Amil Baba In Karachi Kala Jadu In Karachi Amil baba In Karachi Add...
 
Call Girls In Safdarjung Enclave 24/7✡️9711147426✡️ Escorts Service
Call Girls In Safdarjung Enclave 24/7✡️9711147426✡️ Escorts ServiceCall Girls In Safdarjung Enclave 24/7✡️9711147426✡️ Escorts Service
Call Girls In Safdarjung Enclave 24/7✡️9711147426✡️ Escorts Service
 
SD_The MATATAG Curriculum Training Design.pptx
SD_The MATATAG Curriculum Training Design.pptxSD_The MATATAG Curriculum Training Design.pptx
SD_The MATATAG Curriculum Training Design.pptx
 
VIP Call Girl Amravati Aashi 8250192130 Independent Escort Service Amravati
VIP Call Girl Amravati Aashi 8250192130 Independent Escort Service AmravatiVIP Call Girl Amravati Aashi 8250192130 Independent Escort Service Amravati
VIP Call Girl Amravati Aashi 8250192130 Independent Escort Service Amravati
 
Abu Dhabi Call Girls O58993O4O2 Call Girls in Abu Dhabi`
Abu Dhabi Call Girls O58993O4O2 Call Girls in Abu Dhabi`Abu Dhabi Call Girls O58993O4O2 Call Girls in Abu Dhabi`
Abu Dhabi Call Girls O58993O4O2 Call Girls in Abu Dhabi`
 
VIP Call Girls Service Kukatpally Hyderabad Call +91-8250192130
VIP Call Girls Service Kukatpally Hyderabad Call +91-8250192130VIP Call Girls Service Kukatpally Hyderabad Call +91-8250192130
VIP Call Girls Service Kukatpally Hyderabad Call +91-8250192130
 
call girls in Harsh Vihar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Harsh Vihar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Harsh Vihar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Harsh Vihar (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
 
Revit Understanding Reference Planes and Reference lines in Revit for Family ...
Revit Understanding Reference Planes and Reference lines in Revit for Family ...Revit Understanding Reference Planes and Reference lines in Revit for Family ...
Revit Understanding Reference Planes and Reference lines in Revit for Family ...
 
escort service sasti (*~Call Girls in Prasad Nagar Metro❤️9953056974
escort service sasti (*~Call Girls in Prasad Nagar Metro❤️9953056974escort service sasti (*~Call Girls in Prasad Nagar Metro❤️9953056974
escort service sasti (*~Call Girls in Prasad Nagar Metro❤️9953056974
 
Cheap Rate Call girls Malviya Nagar 9205541914 shot 1500 night
Cheap Rate Call girls Malviya Nagar 9205541914 shot 1500 nightCheap Rate Call girls Malviya Nagar 9205541914 shot 1500 night
Cheap Rate Call girls Malviya Nagar 9205541914 shot 1500 night
 
Cosumer Willingness to Pay for Sustainable Bricks
Cosumer Willingness to Pay for Sustainable BricksCosumer Willingness to Pay for Sustainable Bricks
Cosumer Willingness to Pay for Sustainable Bricks
 
3D Printing And Designing Final Report.pdf
3D Printing And Designing Final Report.pdf3D Printing And Designing Final Report.pdf
3D Printing And Designing Final Report.pdf
 
Call Girls in Kalkaji Delhi 8264348440 call girls ❤️
Call Girls in Kalkaji Delhi 8264348440 call girls ❤️Call Girls in Kalkaji Delhi 8264348440 call girls ❤️
Call Girls in Kalkaji Delhi 8264348440 call girls ❤️
 
How to Be Famous in your Field just visit our Site
How to Be Famous in your Field just visit our SiteHow to Be Famous in your Field just visit our Site
How to Be Famous in your Field just visit our Site
 
SCRIP Lua HTTP PROGRACMACION PLC WECON CA
SCRIP Lua HTTP PROGRACMACION PLC  WECON CASCRIP Lua HTTP PROGRACMACION PLC  WECON CA
SCRIP Lua HTTP PROGRACMACION PLC WECON CA
 
VIP Kolkata Call Girl Gariahat 👉 8250192130 Available With Room
VIP Kolkata Call Girl Gariahat 👉 8250192130  Available With RoomVIP Kolkata Call Girl Gariahat 👉 8250192130  Available With Room
VIP Kolkata Call Girl Gariahat 👉 8250192130 Available With Room
 
Captivating Charm: Exploring Marseille's Hillside Villas with Our 3D Architec...
Captivating Charm: Exploring Marseille's Hillside Villas with Our 3D Architec...Captivating Charm: Exploring Marseille's Hillside Villas with Our 3D Architec...
Captivating Charm: Exploring Marseille's Hillside Villas with Our 3D Architec...
 

Okay, here are the steps to calculate the anchorage lengths:a) Straight bars:- Design stress in bar (σsd) = 100 MPa - Bar diameter (φ) = 16 mm- Bond stress (fbd) for C25/30 = 2.25 x 1 x 1 x 3 = 6.75 MPa (Table NA.2)- Required anchorage length (lb,rqd) = (φ/4) x (σsd/fbd) = (16/4) x (100/6.75) = 588 mm- Minimum anchorage length (lb,min) = max(0.3 x lb,rqd, 10φ

  • 1. 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
  • 2. • 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
  • 3. BS EN 1992 Design of concrete structures Part 1-1: General & buildings Part 1-2: Fire design Part 2: Bridges Part 3: Liquid retaining Standards BS EN 13670 Execution of Structures BS 4449 Reinforcing Steels BS EN 10080 Reinforcing SteelsBS 8500 Specifying Concrete BS EN 206-1 Specifying Concrete NSCS BS 8666 Reinforcement Scheduling National Annex PD 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
  • 4. Labour and Material (Peri) 18% 24% 58% Rationalisation of Reinforcement Optimum cost depends on: • Material cost • Labour • Plant • Preliminaries • Finance Team decision required
  • 6. 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)
  • 7. 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
  • 8. 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
  • 10. 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
  • 11. 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 wire 2.5 x diameter of indented wire Minimum Cover for Bond
  • 12. 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 Design BS 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
  • 13. Nominal cover, cnom Minimum cover, cmin cmin = max {cmin,b; cmin,dur ; 10 mm} Axis distance, a Fire 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
  • 14. 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
  • 15. Minimum Reinforcement Area The minimum area of reinforcement for slabs (and beams) is given by: db0013.0 f dbf26.0 A 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
  • 16. • 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 bars EC2: Cl. 8.2 The design value of the ultimate bond stress, fbd = 2.25 η1η2fctd where 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
  • 17. lb,rqd = (φφφφ / 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
  • 18. Alpha values EC2: Table 8.2 Table 8.2 - Cd & K factors EC2: Figure 8.3 EC2: Figure 8.4
  • 19. 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
  • 20. 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
  • 21. Bond stress, fbd fbd = 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 fck 2/3 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
  • 22. 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 values EC2: Table 8.2 Concise: 11.4.2
  • 23. Table 8.2 - Cd & K factors Concise: Figure 11.3EC2: Figure 8.3 EC2: Figure 8.4 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 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
  • 24. 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
  • 25. How to design concrete structures using Eurocode 2 Anchorage & lap lengths Arrangement of Laps EC2: Cl. 8.7.2, Fig 8.7 If more than one layer a maximum of 50% can be lapped
  • 26. Arrangement of Laps EC2: Cl. 8.7.3, Fig 8.8 Anchorage of bars F Transverse Reinforcement There is transverse tension – reinforcement required
  • 27. 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 Laps Bars in tension EC2: Cl. 8.7.4, Fig 8.9 only if bar Ø ≥ 20mm or laps > 25%
  • 28. • 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 Beams EC2: Cl. 9.2 • Tension reinforcement in a flanged beam at supports should be spread over the effective width (see 5.3.2.1) Beams EC2: Cl. 9.2
  • 29. 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 θ z 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.
  • 30. 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 θ z s EC2: Cl. 6.2.3
  • 31. • For members without shear reinforcement this is satisfied with al = d al ∆Ftd al 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 θ But 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
  • 32. 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
  • 33. • 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 slabs EC2: 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 slabs EC2: Cl. 9.3
  • 34. 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
  • 35. • 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
  • 36. 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
  • 37. 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
  • 39. Keep up to date Download: • Column charts • Derivations • Worked examples • How to… guides • & more www.eurocode2.info