Design of Headed Fasteners for use in concrete to BS EN 1992-4:2018 and PD CEN!" 1#081:2018 $%SE &N C"'C(ED C)NC"E!E* +'!E"&',S P'"'"'PH
BS EN 1992-4:2018 § !2!2!"!1#2$
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ S!'ND'"D
S/+B),
600.0 Mpa
f yk
Anchors' steel steel yield yield stress stress
800.0 Mpa
f uk
Anchors' steel steel ultimate ultimate stress stress
7.0%
A5
Steel %racture at elon&ation
S355JR
i(ture's#)late$ steel *uality
f yk!"#$f
500.0 Mpa BS EN 1992-1-1:20 04,A1:2014 § a.le a.le "!1
DESC"&P!&)N
C40/50
+ein%orcement yield stren&th /oncrete structure class
40 +3a
f ykpa&"
400 +3a
f 'k'y
/haracteristic cylinder com)ressie resistance o% concrete
BS EN 1992-1-1:20 04,A1:2014 § a.le a.le "!1
400 +3a
f 'k'y
/haracteristic cylinder com)ressie resistance o% concrete to .e used in the calculations
BS EN 1992-4:2018 § i&ure "!1
50.0 Mpa
f 'km(!&a!
/haracteristic cylinder com)ressie resistance o% .eddin& mortar under the i(in& )late
BS EN 1992-1-1:20 04,A1:2014 § a.le a.le "!1
i(ture's#)late$ steel yield stress
.E"&F&C'!&)NS - +'!E"&',S 8000 +3a
≤
1000.0 Mpa
BS EN 1992-4:2018 § !2!2!"#1$.2$
400 +3a
≤
BS EN 1992-4:2018 § !2!2!"#1$.2$
00 +3a
≥
BS EN 1992-4:2018 § 1!"#"$
BS EN 1992-4:2018 § !2!1!2#2$a
000 +3a
≤
/hec o% ma(imum anchor steel tensile stren&th
OK
50.0 Mpa
/hec o% the com)ressie resistance o% the .eddin& mortar com)ared to the one o% the concrete structure's
OK
30.0 Mpa
/hec o% the minimum com)ressie resistance o% the .eddin& mortar
OK
/hec o% the ma(imum tensile resistance o% the su))lementary rein%orcement .ars
OK
600.0 Mpa
E)+E!"/ ANCHOR AND FIXTURE
P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ S!'ND'"D
S/+B),
DESC"&P!&)N
BS EN 1992-4:2018 § i&ure "!1
260 mm
)"f
BS EN 1992-4:2018 § i&ure "!1
20 mm
d
3iameter o% %astener
BS EN 1992-4:2018 § i&ure "!1
80 mm
d)
3iameter o% head o% %astener or )late
BS EN 1992-4:2018 § i&ure "!1
10 mm
& )
astener head thicness
E%%ectie anchora&e de)th
BS EN 1992-4:2018 § i&ure "!1
1* mm
& -#
BS EN 1992-4:2018 § i&ure "!1
120 mm
1ma
3istance .et7een the anchor and the end o% the )late #ma(imum distance in .oth directions$
343 mm
-#1
6en&th o% the i(ture #direction 1$
204 mm
-#2
6en&th o% the i(ture #direction 2$
BS EN 1992-4:2018 § i&ure "!1
+a,&"$"! -#"d #&) $u& ($ &)" pa&"
/onnection .et7een .et7een %astener and )late
S)"a! pa$" pa,,#$ f!(m &)" &)!"ad"d p(!($
Shear )lane )assin& %rom the threaded )ortion o% the %astener
BS EN 1992-4:2018 § i&ure "!1
20 55
)"f-#$a
BS EN 1992-4:2018 § i&ure "!1
2#0 55
)$(m
80 55
d)
BS EN 1992-4:2018 § !2!1!
)"f,"'($
BS EN 1992-4:2018 § !2!1!2e
BS EN 1992-4:2018 § !2!1!
i(ture #5late$ thicness
0 556
303.3 mm
Afa,&&"$,#($
0 556
303.3 mm
Afa,&,)"a!
E%%ectie anchora&e de)th tain& into account any modiication due to i&ure "!1 %o BS EN 1992-4:2018 Nominal len&th o% headed %astener 7elded to the anchor )late 3iameter o% head o% %astener or )late %or use in the calculations E%%ectie anchora&e de)th %or checin& concrete cone %ailure 7hen the )rimary chec chec is done usin& usin& steel rein%orcemen rein%orcement's t's resistance resistance Area o% %astener Area o% %astener %or %or shear
4#12 556
A)
6oad .earin& area o% the head o% the %astener
19# 55
d"
E*uialent diameter o% the %astener that leads to the e%%ectie area in tension #to .e used in the calculation o% the el$
1272#4 55
"1
Elastic section modulus o% the i(ture #%or moments a.out direction 1$
207# 55
"2
Elastic section modulus o% the i(ture #%or moments a.out direction 2$
#4 556
"
Elastic section modulus o% the %astener calculated %rom the stressed cross section o% steel
EDGE DISTANCES
P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ F ")+ S!'ND'"D
S/+B),
DESC"&P!&)N
BS EN 1992-4:2018 § !2!1!4#"$
4 p',
BS EN 1992-4:2018 § i&ure "!4
300 mm
'11
Ed&e distance in the direction o% loadin& and at the side 7here the load is )ointin&
BS EN 1992-4:2018 § i&ure "!4
300 mm
'12
Ed&e distance in the direction o% loadin& and at the o)osite side
BS EN 1992-4:2018 § i&ure "!4
1500 mm
'21
Ed&e distance )er)endicular to the direction o% loadin& and at the side 7here the load is )ointin&
BS EN 1992-4:2018 § i&ure "!4
1500 mm
'22
Ed&e distance )er)endicular to the direction o% loadin& and at the o)osite side
BS EN 1992-4:2018 § i&ure "!4
203 mm
,1
S)acin& o% anchors in a &rou) in in the direction o% o% loadin&
BS EN 1992-4:2018 § i&ure "!4
127 mm
,2
S)acin& o% anchors in a &rou) )er)endicular to the direction o% loadin&
BS EN 1992-4:2018 § i&ure !4
#8 55
p
Num.er o% anchors
5olar moment o% inertia
BS EN 1992-4:2018 § !2!1!4#"$
#80 55
,'!
S)acin& %or ensurin& the transmission o% the characteristic tensile resistance o% a sin&le anchor 7ithout s)acin& and ed&e e%%ects in case o% concrete cone %ailure
BS EN 1992-4:2018 § !2!1!4#"$
90 55
''!
Ed&e distance %or ensurin& the transmission o% the characteristic tensile resistance o% a sin&le anchor 7ithout s)acin& and ed&e e%%ects in case o% concrete cone %ailure
BS EN 1992-4:2018 § !2!1!4#"$
#8000
,'!,p
S)acin& %or ensurin& the transmission o% the characteristic tensile resistance o% a sin&le anchor 7ithout s)acin& and ed&e e%%ects in case o% concrete s)littin&
BS EN 1992-4:2018 § !2!1!4#"$
90 55
''!,p
Ed&e distance %or ensurin& the transmission o% the characteristic tensile resistance o% a sin&le anchor 7ithout s)acin& and ed&e e%%ects in case o% concrete s)littin&
BS EN 1992-4:2018 § !2!1!4#8$
,'!
S)acin& %or ensurin& the transmission o% the characteristic tensile resistance o% a sin&le anchor 7ithout s)acin& and ed&e e%%ects in case o% concrete cone %ailure%or use acc to BS EN 1992-4:2018 § !2!1!4#8$
BS EN 1992-4:2018 § !2!1!4#8$
''!
Ed&e distance %or ensurin& the transmission o% the characteristic tensile resistance o% a sin&le anchor 7ithout s)acin& and ed&e e%%ects in case o% concrete cone %ailure accordin& to BS EN 1992-4:2018 § !2!1!4#8$
BS EN 1992-4:2018 § !2!1!
,'!,p
BS EN 1992-4:2018 § !2!1!
''!,p
BS EN 1992-4:2018 § !2!1!4#8$ 33 /EN;S 1992-4-2:2009 § !2!!2
S)acin& %or ensurin& the transmission o% the characteristic tensile resistance o% a sin&le anchor 7ithout s)acin& and ed&e e%%ects in case o% s)littin& %ailure #%or s)littin&$ S<=>63 ?E+@ @ <@S A55+=A/< @S ?A6@3 #+E56A/@N AS 5E+ /C/+CN Ed&e distance %or ensurin& the transmission o% the characteristic tensile
)"f
E%%ectie de)th %or use in case o% three ed&es or more acc! o BS EN 1992-4:2018 § !2!1!4#8$
)"f,pa
E%%ectie de)th %or use in case o% three ed&es or more acc! o BS EN 1992-4:2018 § !2!1!4#8$ #%or s)littin&$
LEVELLING MORTAR AND FIXITY
P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ S!'ND'"D
S/+B),
DESC"&P!&)N
& !(u&
10 mm BS EN 1992-4:2018 § !2!2!"#1$
&!H)%! ,E.E" '"+
rout thicness 6eer arm chec
BS EN 1992-4:2018 § !2!2!"#"$
1.00
=>
actor accountin& %or the de&ree o% restraint o% the %astener at the side o% the i(ture o% the a))lication in *uestion
BS EN 1992-4:2018 § i&ure !
20 55
"1
3istance .et7een the shear load and the concrete sur%ace
BS EN 1992-4:2018 § i&ure !
0 55
a3
3istance .et7een concrete sur%ace and )oint o% assumed restraint o% a %astener loaded .y a shear %orce 7ith leer arm
BS EN 1992-4:2018 § i&ure !
20 55
a
E%%ectie leer arm o% the shear %orce actin& o n a %astener used in the calculation
DETAILING OF TENSION SUPPLEMENTARY REINFORCEMENT (BS EN 1992-4:2018 ; !2!1!2"
P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ S!'ND'"D
50 mm 9#$k
DESC"&P!&)N
',12
/oncrete coer %or tension rein%orcement at the direction o% the tensile load #considered the same %or 1st and 2nd$
d,1
3iameter o% su))lementary rein%orcement to tae u) tension %or the most loaded %astener #1st rein%orcement$
$,1
Num.er o% .ars %or the most loaded %astener #1st rein%orcement$
d,2
3iameter o% su))lementary rein%orcement to tae u) tension %or the most loaded %astener #2nd rein%orcement$
BS EN 1992-4:2018 § i&ure !2
12 mm
BS EN 1992-4:2018 § i&ure !2
1 p',
BS EN 1992-4:2018 § i&ure !2
12 mm
BS EN 1992-4:2018 § i&ure !2
2 p',
$,2
Num.er o% .ars %or the most loaded %astener #2nd rein%orcement$
BS EN 1992-4:2018 § i&ure !2
64 mm
',1
3istance o% tension rein%orcement %rom %astener in )lan#1st rein%orcement$
BS EN 1992-4:2018 § i&ure !2
64 mm
',2
3istance o% tension rein%orcement %rom %astener in )lan #2nd rein%orcement$
BS EN 1992-4:2018 § i&ure !2
194 55
,1
Anchora&e len&th o% su))lementary rein%orcement in the concrete %ailure cone #1st rein%orcement$
BS EN 1992-4:2018 § i&ure !2
194 55
,2
Anchora&e len&th o% su))lementary rein%orcement in the concrete %ailure cone #2nd rein%orcement$
BS EN 1992-4:2018 § i&ure !2
11 556
A,1
Area o% rein%orcement to .e taen into consideration %or the tension %orce #1st rein%orcement$
BS EN 1992-4:2018 § i&ure !2
22 556
A,2
Area o% rein%orcement to .e taen into consideration %or the tension %orce #2nd rein%orcement$
9#$k
: ;yp"
S/+B),
: ;yp"
SHEAR REINFORCEMENT AND COVERS
P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ S!'ND'"D
S/+B),
DESC"&P!&)N
BS EN 1992-4:2018 § !4!"#1$
13* mm
",
3istance .et7een rein%orcement and shear %orce actin& on a i(ture
BS EN 1992-4:2018 § i&ure !8
600 mm
)
eometric thicness o% concrete mem.er #mi&ht .e lar&er than d since the latter should .e limited as )er cl! !4!"#1$
50 mm
'$(m
0<
=
50 mm
',12,)"a!
BS EN 1992-1-1:2004,A1:2014 § 4!4!1
Nominal coer o% the shear rein%orcement underneath the i(ture An&le .et7een the shear %orce and the rein%orcement /oncrete coer %or shear rein%orcement at the direction o% the load #considered the same %or 1st and 2nd$
d,1,)"a!
3iameter o% su))lementary rein%orcement to tae u) shear %or the most loaded %astener #1st rein%orcement$
$,1,)"a!
Num.er o% .ars %or the most loaded %astener in shear #1st rein%orcement$
d,2,)"a!
3iameter o% su))lementary rein%orcement to tae u) shear %or the most loaded %astener #2nd rein%orcement$
0 p',
$,2,)"a!
Num.er o% .ars %or the most loaded %astener in shear #2nd rein%orcement$
BS EN 1992-4:2018 § i&ure !10
35 mm
',1,)"a!
3istance o% shear rein%orcement %rom %astener in )lan #1st rein%orcement$
BS EN 1992-4:2018 § i&ure !10
35 mm
',2,)"a!
3istance o% shear rein%orcement %rom %astener in )lan #2nd rein%orcement$
BS EN 1992-4:2018 § i&ure !8
20 55
d
BS EN 1992-4:2018 § i&ure !10
12 mm
BS EN 1992-4:2018 § i&ure !10
6 p',
BS EN 1992-4:2018 § i&ure !10
12 mm
BS EN 1992-4:2018 § i&ure !10
9#$k
9#$k
: ;yp"
: ;yp"
/alculation de)th o% the mem.er to .e considered in the calculations!
BS EN 1992-4:2018 § !4!"#1$
442 55
?
BS EN 1992-4:2018 § i&ure !10
22# 55
,1,)"a!
Anchora&e len&th o% su))lementary rein%orcement in the concrete ed&e %ailure #1st rein%orcement$
BS EN 1992-4:2018 § i&ure !10
22# 55
,2,)"a!
Anchora&e len&th o% su))lementary rein%orcement in the concrete ed&e %ailure #1st rein%orcement$
BS EN 1992-4:2018 § !2!2!!"
#9 556
A,1,)"a!
Area o% rein%orcement to .e taen into consideration %or the shear %orce #1st rein%orcement$
BS EN 1992-4:2018 § !2!2!!"
0 556
A,2,)"a!
Area o% rein%orcement to .e taen into consideration %or the shear %orce #2st rein%orcement$
@nternal leer arm o% the concrete me.mer
.E"&F&C'!&)NS - E)+E!"/ GENERAL BS EN 1992-4:2018 § 1!"#2$
20 55
≥
40 mm
/hec o% minimum em.endment de)th
OK
BS EN 1992-4:2018 § 1!"#2$
20 55
≤
400 mm
/hec o% ma(imum em.endment de)th
OK
BS EN 1992-4:2018 § i&ure "!1
120 55
@
135 mm
BS EN 1992-4:2018 § i&ure "!1
19 55
@
54 mm
0 )late dimension
BS EN 1992-4:2018 § !2!2!"#1$.2$
10 55
≤
10 mm
o% the leellin& mortar thicness under the i(ture 7ith 1 /om)arisson the anchor's diameter
472470 N55
@
32*1260 mm
12 55
≤
0 @n case o% %asteners 7elded on the )lateC chec i% the )late thicness should .e included in the e%%ectie de)th .y checin& the minimum
53 /EN;+ 1081:2018 § !"#a$
O; A9CA9B OK
Dinimum )late thicness %or assum)tion o% ri&idity
OK
16 mm
/hec o% the ma(imum diameter o% the su))lementary rein%orcemnt to tae u) tension loads #+ein%orcement 1$
OK
16 mm
/hec o% the ma(imum diameter o% the su))lementary rein%orcemnt to tae u) tension loads #+ein%orcement 2$
OK
REINFORCEMENT - TENSION BS EN 1992-4:2018 § !2!1!2#2$a BS EN 1992-4:2018 § !2!1!2#2$a BS EN 1992-4:2018 § !2!1!2#2$c BS EN 1992-4:2018 § !2!1!2#2$c BS EN 1992-4:2018 § !2!1!2#2$d BS EN 1992-4:2018 § !2!1!2#2$d BS EN 1992-1-1:2004,A1:2014 § 8!"#"$
12 55 4 55 4 55 194 55
≤ ≤ ≤ ≥
1*5 mm
/hec the distance o% the su))lementary rein%orcement to tae u) tension %orces #+ein%orcement 1$
OK S;ACB ≤ 0.75D)"ff"'E"
1*5 mm
/hec the distance o% the su))lementary rein%orcement to tae u) tension %orces #+ein%orcement 2$
OK S;ACB ≤ 0.75D)"ff"'E"
48 mm
/hec the anchora&e l1 o% the su))lementary rein%orcement to tae u) tension %orces #+ein%orcement 1$
OKSF++CB; ACGORAHB OKSF++CB; ACGORAHB
194 55
≥
48 mm
/hec the anchora&e l1 o% the su))lementary rein%orcement to tae u) tension %orces #+ein%orcement 2$
+andre< Dia5eter
≥
48 mm
/hec o% minimum mandrel diameter %or lins o% rein%orcement No!1
ORMA9 MARB9 AMB;BR OK
BS EN 1992-1-1:2004,A1:2014 § 8!"#"$
11 55
≥
48 mm
/hec %easi.ility o% minimum mandrel diameter #i% the distance .et7een the ertical le&s o% the lin are s)aced more or e*ual to the mandrel diameter$ %or rein%orcement No!1
BS EN 1992-1-1:2004,A1:2014 § 8!"#"$
+andre< Dia5eter
≥
48 mm
/hec o% minimum mandrel diameter %or lins o% rein%orcement No!2
ORMA9 MARB9 AMB;BR
BS EN 1992-1-1:2004,A1:2014 § 8!"#"$
11 55
≥
48 mm
/hec %easi.ility o% minimum mandrel diameter #i% the distance .et7een the ertical le&s o% the lin are s)aced more or e*ual to the mandrel diameter$ %or rein%orcement No!2
OK
REINFORCEMENT - SHEAR
BS EN 1992-4:2018 § !2!2!2#"$.
12 55
≤
16 mm
/hec o% the ma(imum diameter o% the su))lementary rein%orcemnt to tae u) shear loads
OK
BS EN 1992-4:2018 § !2!2!2#"$.
12 55
≤
16 mm
/hec o% the ma(imum diameter o% the su))lementary rein%orcemnt to tae u) shear loads
OK
BS EN 1992-4:2018 § !2!1!2#2$c
55
≤
1*5 mm
/hec the distance o% the su))lementary rein%orcement to tae u) shear %orces #+ein%orcement 1$
OK S;ACB ≤ 0.75D)"ff"'E"
BS EN 1992-4:2018 § !2!1!2#2$c
55
≤
1*5 mm
/hec the distance o% the su))lementary rein%orcement to tae u) shear %orces #+ein%orcement 2$
OK S;ACB ≤ 0.75D)"ff"'E"
BS EN 1992-4:2018 § !2!1!2#2$d
22# 55
≥
48 mm
/hec the anchora&e l1 o% the su))lementary rein%orcement to tae u) shear %orces #+ein%orcement 1$
OKSF++CB; ACGORAHB
BS EN 1992-4:2018 § !2!1!2#2$d
22# 55
≥
48 mm
/hec the anchora&e l1 o% the su))lementary rein%orcement to tae u) tension %orces #+ein%orcement 2$
OKSF++CB; ACGORAHB
BS EN 1992-1-1:2004,A1:2014 § 8!"#"$
+andre< Dia5eter
≥
48 mm
/hec o% minimum mandrel diameter %or lins o% rein%orcement No!1
BS EN 1992-1-1:2004,A1:2014 § 8!"#"$
8 55
≥
48 mm
/hec %easi.ility o% minimum mandrel diameter #i% the distance .et7een the horiontal le&s o% the lin are s)aced more or e*ual to the mandrel diameter$ %or rein%orcement No!1
BS EN 1992-1-1:2004,A1:2014 § 8!"#"$
+andre< Dia5eter
≥
48 mm
/hec o% minimum mandrel diameter %or lins o% rein%orcement No!2
OK OK
BS EN 1992-1-1:2004,A1:2014 § 8!"#"$
8 55
≥
48 mm
/hec %easi.ility o% minimum mandrel diameter #i% the distance .et7een the horiontal le&s o% the lin are s)aced more or e*ual to the mandrel diameter$ %or rein%orcement No!2
Not codiied re*uirement
99 55
≥
75 mm
/hec o% distance .et7een the shear rein%orcement .ars
S'FE!/ F'C!)"S - %,S PE"S&S!EN!!"'NS&EN! P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ S!'ND'"D
S/+B),
DESC"&P!&)N 5artial sa%ety %actor %or %orces resultin& %rom restraint to de%ormationC intrinsic or e(trinsic o% the attached mem.er
BS EN 1992-4:2018 § 4!4!1#2$
120
1.20
I#$d
BS EN 1992-1-1:2004,A1:2014 § a.le 2!1N
10
1.50
I'
BS EN 1992-4:2018 § a.le 4!1
100
1.00
I#$,&
5artial %actor tain& into accouint installation sa%ety o% the %astenin& system
BS EN 1992-4:2018 § a.le 4!1
10
1.50
IM'
5artial %actor FDc %or concrete cone %ailureC ed&e %ailureC .lo7-out %ailure and )ry-out %ailure$
BS EN 1992-4:2018 § a.le 4!1
10
1.50
IM,p
5artial %actor %or s)littin& %ailure
BS EN 1992-4:2018 § a.le 4!1
10
1.50
IMp
5artial %actor %or )ull-out and com.ined )ull-out %ailure
BS EN 1992-4:2018 § a.le 4!1
10
1.60
IM,&"$,#($
5artial sa%ety %actor %or steel %ailure in tension eriications
BS EN 1992-4:2018 § a.le 4!1
1
1.33
IM,,)"a!
5artial sa%ety %actor %or steel %ailure in shear eriications #7ith and 7ithout leer arm$
BS EN 1992-1-1:2004,A1:2014 § a.le 2!1N
11
1.15
IM,!"
Steel %ailure o% su))lementary rein%orcement
53 /EN;+ 1081:2018 § !"#a$
110
1.10
IM,-#
5artial sa%ety %actor %or steel i(ture in .endin&
.',%ES F")+ S!'ND'"D
S/+B),
5artial sa%ety %actor %or concrete
S'FE!/ F'C!)"S - %,S 'CC&DEN!', P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
DESC"&P!&)N
ORMA9 MARB9 AMB;BR OK ORMA9 MARB9 AMB;BR
5artial sa%ety %actor %or %orces resultin& %rom restraint to d e%ormationC intrinsic or e(trinsic o% the attached mem.er
BS EN 1992-4:2018 § 4!4!1#2$
120
1.20
I#$d
BS EN 1992-1-1:2004,A1:2014 § a.le 2!1N
120
1.20
I'
BS EN 1992-4:2018 § a.le 4!1
100
1.00
I#$,&
5artial %actor tain& into accouint installation sa%ety o % the %astenin& system
BS EN 1992-4:2018 § a.le 4!1
120
1.20
IM'
5artial %actor FDc %or concrete cone %ailureC ed&e %ailureC .lo7-out %ailure and )ry-out %ailure$
BS EN 1992-4:2018 § a.le 4!1
120
1.20
IM,p
5artial %actor %or s)littin& %ailure
BS EN 1992-4:2018 § a.le 4!1
120
1.20
IMp
5artial %actor %or )ull-out and com.ined )ull-out %ailure
BS EN 1992-4:2018 § a.le 4!1
140
1.40
IM,&"$,#($
5artial sa%ety %actor %or steel %ailure in tension eriications
BS EN 1992-4:2018 § a.le 4!1
1
1.33
IM,,)"a!
5artial sa%ety %actor %or steel %ailure in shear eriications #7ith and 7ithout leer arm$
BS EN 1992-1-1:2004,A1:2014 § a.le 2!1N
100
1.00
IM,!"
Steel %ailure o% su))lementary rein%orcement
53 /EN;+ 1081:2018 § !"#a$
100
1.00
IM,-#
5artial sa%ety %actor %or steel i(ture in .endin&
.',%ES F")+ S!'ND'"D
S/+B),
5artial sa%ety %actor %or concrete
S'FE!/ F'C!)"S - %,S F'!&%E P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
DESC"&P!&)N
BS EN 1992-4:2018 § 4!4!2!"
120
1.20
I#$d
5artial sa%ety %actor %or %orces resultin& %rom restraint to d e%ormationC intrinsic or e(trinsic o% the attached mem.er
BS EN 1992-1-1:2004,A1:2014 § 2!4!2!4#1$
10
1.50
I'fa&
5artial sa%ety %actor %or concrete
BS EN 1992-4:2018 § 4!4!2!"
100
1.00
I#$,&
5artial %actor tain& into accouint installation sa%ety o % the %astenin& system
BS EN 1992-4:2018 § 4!4!2!"
10
1.50
IM'fa&
5artial %actor FDc %or concrete cone %ailureC ed&e %ailureC .lo7-out %ailure and )ry-out %ailure$
BS EN 1992-4:2018 § 4!4!2!"
10
1.50
IM,pfa&
5artial %actor %or s)littin& %ailure
BS EN 1992-4:2018 § 4!4!2!"
10
1.50
IMpfa&
5artial %actor %or )ull-out and com.ined )ull-out %ailure
BS EN 1992-4:2018 § 4!4!2!"
1
1.35
IM,fa&
5artial sa%ety %actor %or steel %ailure in tension eriications
BS EN 1992-1-1:2004,A1:2014 § 2!4!2!4#1$
11
1.15
IM,!"fa&
53 /EN;+ 1081:2018 § !"#a$
110
1.10
IM,-#
.',%ES F")+ S!'ND'"D
S/+B),
Steel %ailure o% su))lementary rein%orcement 5artial sa%ety %actor %or steel i(ture in .endin&
,)'D&N P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
DESC"&P!&)N
BS EN 1992-4:2018 § !2!1
82282
)"d
3esi&n alue o% tensile load actin& on the most stressed %astener
BS EN 1992-4:2018 § !2!1
164563
Bd
Sum o% the desi&n tensile %orce o % the %asteners in tension under the desi&n alue o% the actions GNH
BS EN 1992-4:2018 § !2!1
0 mm
"1
Eccentricity in direction 1 #)araller to the load direction$
BS EN 1992-4:2018 § !2!1
0 mm
"2
Eccentricity in direction 2 #)er)endicular to the load direction$
BS EN 1992-4:2018 § i&ure !4
0 mm
;Bd
BS EN 1992-4:2018 § !2!2!2#1$
72750
)"d"d"
3esi&n shear %orce %rom horiontal %orces %or the most loaded %astener %or use in concrete ed&e %ailure eriication
BS EN 1992-4:2018 § !2!2!2#2$
36375
)"d'pL,&""
3esi&n shear %orce %rom horiontal %orces %or the most loaded %astener %or use in steel %ailure and )ry-out %ailure eriication
BS EN 1992-4:2018 § i&ure !
145500
)"d
otal shear %orce d ue to horiontal %orces %or the anchor &rou)
0 mm
",)"a!
Eccentricity in shear %orce!
164563
CBd
+esultant deis&n com)ression %orce .eneath the i(ture and com)ression resultin& %rom .endin&
20 mm
a4
3istance %rom the ed&e o% the attached mem.er to the resultant com)ressie %orce
147 N
Bd
+esultant desi&n tension %orce o% the tensioned %asteners
0000
;"d
Additional shear %orce due to torsional moment
#27#0 N
)"d
otal desi&n shear %orce %or the most loaded %astener %or use in concrete ed&e %ailure eriication
7# N
)"d
otal desi&n shear %orce %or the most loaded %astener %or use in steel %ailure and )ry-out %ailure eriication
*5628
)"d!"
3esi&n tension %orces in su))lamentary rein%orcement %or the most loaded %astener #deriin& %rom the %orce %or concrete ed&e %ailure$
BS EN 1992-4:2018 § !2!2!4 BS EN 1992-4:2018 § i&ure !2
BS EN 1992-4:2018 § i&ure !2
BS EN 1992-4:2018 § i&ure !8a
3esi&n torsional moment at the i(ture
.E"&F&C'!&)N )F %,!&+'!E ,&+&! S!'!E - %,S PE"S&S!EN!!"'NS&EN! $BS EN 1992-4:2018 ; #2* "ES&S!'NCE !) !ENS&)N ,)'DS $BS EN 1992-4:2018 ; #21* P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ S!'ND'"D
S/+B),
DESC"&P!&)N
Stee< fai
218348
218748 N
Rk,
BS EN 1992-4 § !2!1!"
174# N
174# N
Rk,/ IM,
/haracteristic resistance o% an anchor in case o% steel %ailure 3es&in resistance o% an anchor in case o% steel %ailure
Pu<<-out fai
7.5
#
k2
BS EN 1992-4:2018 § !2!1!
1413717
17417#1# N
Rkp
BS EN 1992-4:2018 § !2!1!
94274#8 N
94274#8 N
Rkp/ IMp
actor tain& into account the craced concrete on the )ull-out resistance /haracteristic resistance in case o% %aillure .y )ull-out 3es&in resistance o% an anchor in case o% )ull-out %ailure
Concrete cone fai
BS EN 1992-4:2018 § !2!1!4#2$
8.*
89
k'!
BS EN 1992-4:2018 § !2!1!4#2$
235*83
2798 N
0Rk'
@nitial alue o% the characteristic resistance in cone %aillure o% an anchor )laced in craced or non-craced concrete
BS EN 1992-4:2018 § !2!1!4#"$
608400 mm
08400 556
A0'
Area o% concrete o% an indiidual anchor 7ith lar&e s)acin& and ed&e distance at the concrete sur%aceC idealiin& the concrete cone as a )yramid 7ith a hei&ht e*ual to he% and a .ase len&th e*ual to scrCN
2
2
&"$,
Num.er o% anchors in tension #i!e! the ones that 7ill .e taen into account %or the calculation o% the total concrete cone area$
ACK
B'C(
BS EN 1992-4:2018 § !2!1!4#"$
468000 mm
48000 556
A'
Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! @t is limited .y oerla))in& concrete cones o% adKoinin& anchors #s L scrCN$ as 7ell as .y ed&es o% the concrete mem.er #c L ccrCN$
BS EN 1992-4:2018 § !2!1!4#"$
625830 mm
280 556
A'
Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! @t is limited .y oerla))in& concrete cones o% adKoinin& anchors #s L scrCN$ as 7ell as .y ed&es o% the concrete mem.er #c L ccrCN$
BS EN 1992-4:2018 § !2!1!4#"$
625830 mm
280 556
A'
Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! @t is limited .y oerla))in& concrete cones o% adKoinin& anchors #s L scrCN$ as 7ell as .y ed&es o% the concrete mem.er #c L ccrCN$
BS EN 1992-4:2018 § !2!1!4#"$
625830 mm
280 556
A'
Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! @t is limited .y oerla))in& concrete cones o% adKoinin& anchors #s L scrCN$ as 7ell as .y ed&es o% the concrete mem.er #c L ccrCN$
BS EN 1992-4:2018 § !2!1!4#4$
0.*3
09
,
actor %or the distri.ution o% the stresses in concrete due to ed&es o% concrete mem.er
5osition o% the anchors 7ith res)ect to direction 1: BA/I J close to the .ac ed&e +=N J close to the %ront ed&e
BS EN 1992-4:2018 § !2!1!4#$
1.00
100
!"
Shell s)allin& %actorC taes account o% the e%%ect o% a rein%orcement
BS EN 1992-4:2018 § !2!1!4#$
1.00
100
"'1
actor %or di%%erent tension loads actin& on the indiidual anchors o% a &rou) #3irection 1$
BS EN 1992-4:2018 § !2!1!4#$
1.00
100
"'2
actor %or di%%erent tension loads actin& on the indiidual anchors o% a &rou) #3irection 2$
BS EN 1992-4:2018 § !2!1!4#$
1.00
100
"'
actor %or di%%erent tension loads actin& on the indiidual anchors o% a &rou) #5rocuct o% the %actors %or directions 1 and 2$
BS EN 1992-4:2018 § !2!1!4#$
1
1
M.
actor that taes into account the e%%ect o% a com)ression %orce .et7een icture and concrete in cases o% .endin& moments 7ith or 7ithout a(ial %orce
BS EN 1992-4:2018 § !2!1!4#1$
225*38
22798 N
Rk'
/haracteristic resistance o% an anchor in case o% concrete cone %ailure
BS EN 1992-4:2018 § !2!1!4#1$
1072 N
1072 N
Rk'/ IM'
3esi&n resistance o% an anchor in case o% concrete cone %ailure
S3
00 55
≥
200 mm
BS EN 1992-4:2018 § !2!1!#1$
12# 55
≥
BS EN 1992-4:2018 § !2!1!#1$
20 55
BS EN 1992-4:2018 § !2!1!#2$. BS EN 1992-4:2018 § !2!1!#2$.
'm#$
Dinimum allo7a.le ed&e distance
200 mm
,m#$
Dinimum allo7a.le s)acin&
≥
200 mm
)m#$
Dinimum thicness o% concrete mem.er
00 55
≥
468 mm
0
/hec i% the minimum ed&e distance is more than the re*uired to aoid checin& concrete s)littin& %ailure
00 55
≥
200 mm
1
/hec i% the mem.er's thicness is more than the re*uired to aoid checin& concrete s)littin& %ailure
0.5
k4
actor acountin& %or the ty)e o% %astener in the calculation o% the s)illtin& %orces
189 556
A,!"
/hec ade*uacy o% steel rein%orcement a&ainst concrete s)littin& re*uirements
OK S;O OK
Due to
BS EN 1992-4:2018 § !2!1!#2$.!2
0
BS EN 1992-4:2018 § !2!1!#2$.!2
9 556
BS EN 1992-4:2018 § !2!1!#2$d!N=E
225*38
22798 N
0Rk,p
@nitial alue o% the characteristic resistance in concrete s)littin& o% an anchor )laced in craced concrete
BS EN 1992-4:2018 § !2!1!#2$c
608400 mm
08400 556
A0'
Area o% concrete o% an indiidual anchor 7ith lar&e s)acin& and ed&e distance at the concrete sur%aceC idealiin& the concrete cone as a )yramid 7ith a hei&ht e*ual to he% and a .ase len&th e*ual to scrCs)
BS EN 1992-4:2018 § !2!1!#2$c
468000 mm
48000 556
A'
Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! @t is limited .y oerla))in& concrete cones o% adKoinin& anchors #s L scrCN$ as 7ell as .y ed&es o% the concrete mem.er #c L ccrCN$
BS EN 1992-4:2018 § !2!1!#2$c
625830 mm
280 556
A'
Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! @t is limited .y oerla))in& concrete cones o% adKoinin& anchors #s L scrCN$ as 7ell as .y ed&es o% the concrete mem.er #c L ccrCN$
BS EN 1992-4:2018 § !2!1!#2$c
625830 mm
280 556
A'
Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! @t is limited .y oerla))in& concrete cones o% adKoinin& anchors #s L scrCN$ as 7ell as .y ed&es o% the concrete mem.er #c L ccrCN$
BS EN 1992-4:2018 § !2!1!#2$c
625830 mm
280 556
A'
Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! @t is limited .y oerla))in& concrete cones o% adKoinin& anchors #s L scrCN$ as 7ell as .y ed&es o% the concrete mem.er #c L ccrCN$
≥
O S9;;H +A9FRB CGBCK RBNFRB CASB ;GA; ;GB RBNFRBMB;S O+ S B 1**24:2018 7.2.1.7P2QQ2Q ARB MB;
BS EN 1992-4:2018 § !2!1!#2$c
0.*3
09
,
actor %or the distri.ution o% the stresses in concrete due to ed&es o% concrete mem.er
BS EN 1992-4:2018 § !2!1!#2$c
1.00
100
!"
Shell s)allin& %actorC taes account o% the e%%ect o% a rein%orcement
BS EN 1992-4:2018 § !2!1!#2$c
1.00
100
"'1
actor %or di%%erent tension loads actin& on the indiidual anchors o% a &rou) #3irection 1$
BS EN 1992-4:2018 § !2!1!#2$c
1.00
100
"'2
actor %or di%%erent tension loads actin& on the indiidual anchors o% a &rou) #3irection 2$
BS EN 1992-4:2018 § !2!1!#2$c
1.00
1000
"'
actor %or di%%erent tension loads actin& on the indiidual anchors o% a &rou) #5rocuct o% the %actors %or directions 1 and 2$
BS EN 1992-4:2018 § !2!1!#2$c
2.00
200
),p
actor to account %or the inluence o% the actual mem.er de)thC hC on the s)littin& resistance %or anchors accordin& to current e()erience
BS EN 1992-4:2018 § !2!1!#2$c
432642
42742 N
Rk,p
/haracteristic resistance in case o% s)littin& %aillure %or use acc to BS EN 1992-4:2018 § !2!1!#2$c
BS EN 1992-4:2018 § !2!1!#2$c
2887428 N
2887428 N
Rk,p/ IM,p
3esi&n resistance o% an anchor in case o% s)littin& %ailure
B
/hec i% the ed&e distance is such that eriication %or .lo7 out %ailure can .e omitted
BS EN 1992-4:2018 § !2!1!8#1$
00 55
130 mm
BS EN 1992-4:2018 § i&ure !8
# 55
f
BS EN 1992-4:2018 § i&ure !8
2 p',
$((u&
BS EN 1992-4:2018 § !2!1!8#2$
8.70
8.7
k5
BS EN 1992-4:2018 § !2!1!8#2$
1133160
171710 N
0Rk'
/haracteristic resistance o% sin&le anchor to .lo7-out %ailure +e%e%ence )roKected area o% a %astener %or .lo7-out eriication
3istance o% %astener %rom the .ottom o% the mem.er Num.er o% tensioned %asteners in a ro7 )arallel to ed&e actor considerin& the e%%ect o% craced concrete to the concrete resistance a&ainst .lo7 out %ailure
BS EN 1992-4:2018 § !2!1!8#"$
1440000 mm
1440000 556
A0'
BS EN 1992-4:2018 § !2!1!8#"$
7*8854 mm
#9884 556
A'
Actual )roKected area o% a %astener %or .lo7-out eriication
BS EN 1992-4:2018 § !2!1!8#4$
1.00
100
,
actor %or the distur.ance o% the distri.tution o% stresses in the concrete due to a corner o % concrete mem.er %or .lo7-out %ailure
BS EN 1992-4:2018 § !2!1!8#$
1.34
14
actor that taes account o% the .earin& areas o% the indiidual %asteners o% a &rou)
BS EN 1992-4:2018 § !2!1!8#$
1.00
100
"'1
actor that taes account o% a &rou) e%%ect 7hen di%%erent loads are actin& on the indiidual %asteners o% a &rou)
BS EN 1992-4:2018 § !2!1!8#$
1.00
100
"'2
actor that taes account o% a &rou) e%%ect 7hen di%%erent loads are actin& on the indiidual %asteners o% a &rou)
BS EN 1992-4:2018 § !2!1!8#$
1.00
100
"'
actor that taes account o% a &rou) e%%ect 7hen di%%erent loads are actin& on the indiidual %asteners o% a &rou)
BS EN 1992-4:2018 § !2!1!8#1$
844*70
84479#0 N
Rk'
/haracteristic resistance to .lo7 out %ailure
BS EN 1992-4:2018 § !2!1!8#1$
71 N
71 N
Rk'/ IM'
3esi&n resistance to .lo7 out %ailure
Stee< faie su33
16*646
1974 N
Rk!"
BS EN 1992-4:2018 § !2!1!9!1
14#718 N
14#718 N
Rk!"/ IM,!"
/haracteristic resistance o% the su))lementary rein%orcement o% one %astener #most loaded$ 3esi&n resistance o% the su))lementary rein%orcement o% one %astener #most loaded$
'nc>orage faie su33e concrete cone $BS EN 1992-4:2018 ; #2192* BS EN 1992-1-1:2004,A1:2014 § 8!4!2#2$
1.00
1
/oe%icient related to the *uality o% the .ond condition and the )osition o% the .ar durin& concretin&
BS EN 1992-1-1:2004,A1:2014 § 8!4!4#1$
0.70
=11
/oe%icient %or the e%%ect o% the %orm o% the .ars assumin& ade*uate coer %or rein%orcement No!1
( Ou& "!#-#'a($ O; $""d"d
/oe%icient %or the e%%ect o% the %orm o% the .ars assumin& ade*uate coer %or rein%orcement No!2
BS EN 1992-1-1:2004,A1:2014 § 8!4!4#1$
0.70
=12
BS EN 1992-1-1:2004,A1:2014 § 8!4!4#1$
150 mm
a
3istance .et7een the anchored .ars
BS EN 1992-1-1:2004,A1:2014 § 8!4!2#2$
3.75 /mm
# N556
f d
3esi&n .ond stress
1427#18 N
1427#18 N
Rda
BS EN 1992-4:2018 § !2!1!9!2
3esi&n resistance o% the su))lementary rein%orcement )roided %or one %astener associated 7ith anchora&e %ailure in the concrete cone
"ES&S!'NCE !) SHE'" ,)'DS $BS EN 1992-4:2018 ; #22* P'"'"'PH
F&N', .',%E
.',%ES F")+ E!'
.',%ES F")+ S!'ND'"D
S/+B),
DESC"&P!&)N
Stee< fai
&!H)%! ,E.E" '"+
6eer arm chec
BS EN 1992-4:2018 § !2!2!"!1#1$
0.50
00
k6
BS EN 1992-4:2018 § !2!2!"!1#1$
100
5.00
)"f /d
/oe%icient tain& into account the ed%%ect o% steel %astener's *ualityon the shear ca)acity /hec o% e%%ectie de)th to diameter ratio Additional reduction %actor %or %asteners 7ith he%;dL and concrete class less than /20;2
BS EN 1992-4:2018 § !2!2!"!1#1$
1.00
100
BS EN 1992-4:2018 § !2!2!"!1#1$
121304
121704 N
0Rk,
BS EN 1992-4:2018 § !2!2!"!1#2$
0.80
080
k7
536317 mm
1# N55
M0!k,
BS EN 1992-4:2018 § !2!2!"!2
212*50 mm
21290 N55
M!k,
/haracteristic .endin& resistance o% the most loaded %astener in tension
BS EN 1992-4:2018 § !2!2!"!2
10*21
107921 N
Rk,.M
/haracteristic resistance o% a sin&le %astener in case o% steel %ailure 7ith leer arm
BS EN 1992-4:2018 § !2!2!"!2
121304
121704 N
Rk,
BS EN 1992-4:2018 § a.le !2
9079#8 N
9079#8 N
Rk,/ IM,
/haracteristic resistance o% a sin&le %astener in case o% steel %ailure 7ithout leer arm actor tain& into accout the e%%ect o% steel ductility on the shear %orce redistri.ution .et7een the %asteners o% a &rou) arac er s c en n& res s ance o an n ua anc or! A))ro(imation is &ien .ased on the old standard .ut the actual alue should come rom the roduct's EA
inal characteristic shear resistance 3es&in resistance o% an anchor in case o% steel %ailure
Concrete Pr?-out fai
2.00
k8
2.00
728321 mm
#28721 556
A'
1.00
100
"',)"a!
BS EN 1992-4:2018 § !2!2!4#2$
3*440*
947409 N
Rk'p
BS EN 1992-4:2018 § a.le !2
22799 N
22799 N
Rk'p/ IM'
Anchora&e in /oncrete /onstructionC ?olume 10 4!1!2!" 3esi&n o% %astenin&s %or use in /oncrete - the /EN;S 1992-4 5roisions § !"!4
actor %or concrete )ry-out %ailure under shear loadin& Actual area o% concrete cone o% the anchora&e at the concrete sur%ace! Since %or )ry-out %ailure all the %asteners are taen into account it may .e di%%erent %rom the one used in concrete cone calculation ac or or use n concre e )ry-ou a ure o accoun or e eccen r c y o% the resultant shear %orce to the centre o% &raity o% the shear-loaded ost asteners Shear resistance to )ry-out 3es&in resistance o% &rou) o% anchors in case o% concrete )ry-out %ailure
Concrete edge fai
19 55
≤
65 mm
BS EN 1992-4:2018 § !2!2!#1$
00 55
≤
2600 mm
BS EN 1992-4:2018 § !2!2!#4$
12# 55
≥
80 mm
/hec o% eriication method a))lica.ility in case o% em.edded )lates
CGBCK O+ ;GB B++BC; O+ A ARRO MBMBR PS B 1**24:2018 7.2.2.5P14QQ
/hec o% eriication method a))lica.ility - s)acin& o% %asteners
O; A9CA9B BR+CA;O A9
BS EN 1992-4:2018 § !2!2!#14$
100 55
≤
450 mm
BS EN 1992-4:2018 § !2!2!#14$
00 55
≤
450 mm
BS EN 1992-4:2018 § !2!2!#14$
300 mm
1000 55
'1
inal ed&e distance to .e considered in the calculations
BS EN 1992-4:2018 § !2!2!#$
1.70
1#0
k*
actor %or concrete ed&e %ailure under shear loadin& #craced concrete$
BS EN 1992-4:2018 § !2!2!#$
240 mm
240 55
f
E%%ectie len&th o% anchor under shear loadin&! or .olts o% uni%orm cross-section oer their len&ths the alue o% he% has to .e used as e%%ectie anchora&e de)thC and %or anchors 7ith seeral sleees and throats o% cross-sectionC %or e(am)leC only the len&th %rom the concrete sur%ace u) to the releant sleee 7ould &oern!
BS EN 1992-4:2018 § !2!2!#$
0.08*
009
=
actor %or concrete ed&e %ailure eriication
BS EN 1992-4:2018 § !2!2!#$
0.058
00
T
actor %or concrete ed&e %ailure eriication
BS EN 1992-4:2018 § !2!2!#$
100464
100744 N
0Rk'
@nitial alue o% the characteristic resistance o% an anchor )laced in craced or non-craced concrete and loaded )er)endicular to the ed&e %or ed&e %ailure
BS EN 1992-4:2018 § !2!2!#$
405000 mm
40000 556
A0'E
Area o% concrete cone o% an indiidual anchor at the lateral concrete sur%ace not a%%ected .y ed&es )arallel to the assumed loadin& directionC mem.er thicness or adKacent anchors %or ed&e %ailure
BS EN 1992-4:2018 § !2!2!#$
462150 mm
4210 556
A'E
Actual area o% concrete cone o% anchora&e at the lateral concrete sur%ace %or ed&e %ailure
BS EN 1992-4:2018 § !2!2!#8$
450 mm
40 55
,'!#&
/ritical distance %or )er%ormin& the chec o% cl! !2!2#8$ in case o% %astenin& com)risin& t7o %asteners
ORMA9 MBMBR
CGBCK OR BHB +A9FRB A RUOF; +A9FRB ;BRAC;O PS B 1**24:2018 7.2.2.5P8QQ BS EN 1992-4:2018 § !2!2!#8$
12# 55
≤ @
450 mm
3istance chec /hec o% the ratio .et7een the concrete ed&e .reaout resistance to the concrete .reaout resistaence o% the second %astener
0.70
BS EN 1992-4:2018 § !2!2!#8$
041
BS EN 1992-4:2018 § !2!2!#9$
1.00
100
,
actor that taes account o% the distur.ance o% the distri.ution o% stresses in the concrete due to %urther ed&es o% the concrete mem.er on the shear resistance
BS EN 1992-4:2018 § !2!2!#10$
1.00
100
)
actor that taes account o% the %act that the shear resistance does not decrease )ro)ortionally to the mem.er thicness
BS EN 1992-4:2018 § !2!2!#11$
1.00
100
"'
actor that taes account o% a &rou) e%%ect 7hen di%%erent shear loads are actin& on the indiidual anchors o% a &rou)
BS EN 1992-4:2018 § i&ure !12
0<
BS EN 1992-4:2018 § !2!2!#12$
1.00
100
=
actor that taes account o% the an&le M? .et7een the load a))liedC ?SdC and the direction )er)endicular to the %ree ed&e o% the concrete mem.er
BS EN 1992-4:2018 § !2!2!#1"$
1.40
140
!"
actor that taes account o% the e%%ect o% the ty)e o% rein%orcement used in craced concrete
BS EN 1992-4:2018 § !2!2!#$
1604*7
10749# N
Rk'
/haracteristic shear resistance to concrete ed&e %ailure
BS EN 1992-4:2018 § a.le !2
107998 N
107998 N
Rk'/ IM'
Stee< faie su33
=E
An&le o% shear %orce
3es&in resistance o% an anchor in case concrete ed&e %ailure
O RBFC;O FB ;O BHB +A9FRB A RUOF; +A9FRB RBNFRB
BS EN 1992-4:2018 § !2!2!!2
0.50
00
k10
BS EN 1992-4:2018 § !2!2!!2
16*646
1974 N
Rk!"
BS EN 1992-4:2018 § !2!2!!2
147518
14#718 N
Rk!"/ IM,!"
E%iciency %actor tain& into account the unaoida.le tolrances in 7ormanshi) %or the su))lementary rein%orcement /haracteristic resistance o% the su))lementary rein%orcement o% one %astener #most loaded$ 3esi&n resistance o% the su))lementary rein%orcement o% one %astener #most loaded$
'nc>orage faie su33e concrete @reaAout @od? $BS EN 1992-4:2018 ; #22* BS EN 1992-4:2018 § !2!2!!"
+#u!" 10/'
+ein%orcement anchora&e eriication necessity chec
BS EN 1992-1-1:2004,A1:2014 § 8!4!2#2$
0.70
1
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BS EN 1992-1-1:2004,A1:2014 § 8!4!4#1$
0.70
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/oe%icient %or the e%%ect o% the %orm o% the .ars assumin& ade*uate coer %or rein%orcement No!1
BS EN 1992-1-1:2004,A1:2014 § 8!4!4#1$
0.70
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/oe%icient %or the e%%ect o% the %orm o% the .ars assumin& ade*uate coer %or rein%orcement No!2
BS EN 1992-1-1:2004,A1:2014 § 8!4!4#1$
100 mm
a
3istance .et7een the anchored .ars
BS EN 1992-1-1:2004,A1:2014 § 8!4!2#2$
2.63 /mm
2 N556
f d
3esi&n .ond stress
27049 N
27049 N
Rda
BS EN 1992-4:2018 § !2!2!!"
es&n res s ance o e su)) emen ary re n orcemen )ro e or one %astener associated 7ith anchora&e %ailure in the concrete ed&e .reaout .od
( p!((f (f &)" a$')(!a" 'apa'#&y #, $"'",,a!y
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/ES rou3 of 'nc>ors "esistance
,oad
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$BS EN 1992-4:2018 ; #21*
136467
82282
60%
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$BS EN 1992-4:2018 ; #21*
*42478
82282
*%
Concrete cone fai
150625
164563
10*%
$BS EN 1992-4:2018 ; #214*
S3
+A9FRB
S3
288428
164563
57%
B
$BS EN 1992-4:2018 ; #218*
563313
164563
2*%
Stee< faie su33
147518
82282
56%
'nc>orage faie su33e concrete conce
142718
82282
58%
$BS EN 1992-4:2018 ; #2191*
$BS EN 1992-4:2018 ; #2192*
"ES&S!'NCE !) SHE'" ,)'DS $BS EN 1992-4:2018 ; !a@
/ES rou3 of 'nc>ors "esistance
,oad
%iti
Stee< fai
*0*78
36375
40%
Concrete edge fai
$BS EN 1992-4:2018 ; #22*
106**8
72750
68%
Concrete Pr?-out fai
262*3*
145500
55%
Stee< faie su33
147518
*5628
65%
'nc>orage faie su33e concrete @reaAout @od?
23304*
*5628
0%
$BS EN 1992-4:2018 ; #22*
$BS EN 1992-4:2018 ; #222*
$BS EN 1992-4:2018 ; #22*
"ES&S!'NCE !) C)+B&NED !ENS&)N 'ND SHE'" $BS EN 1992-4:2018 ; !a@
0.67
BS EN 1992-4:2018 § !2!"!1
0
BS EN 1992-4:2018 § !2!"!1
BS EN 1992-4:2018 § !2!"
0#
k11
Su)erscri)t %or the com.ined shear and tension chec
V
100%
T
Da(imum utilisation %actor %or tension
)(
V
100%
T
Da(imum utilisation %actor %or shear
)(
App!(p!#a&" ')"'k#$ 'au,": CB/;S 1**42 6.4.1.2 ". P7.55Q (! P7.56Q TENSION
SHEAR
COMBINED
0
042
0#8
BS EN 1992-4:2018 E*uation #!4$
P'SS
_+ _ ≤1.2
00
0
12
BS EN 1992-4:2018 E*uation #!$
F'&,
_^1.5+_^1.5≤1
04#
02
099
BS EN 1992-4:2018 E*uation #!$
P'SS
_^(_7 )+ _^( _7 )≤1
0.71
0.75
1.46
BS EN 1992-4:2018 E*uation #!$
+A9
_^2+_^2≤1