hsa stud anchor - vinapema - cÔng ty cỔ phẦn...
TRANSCRIPT
HSA stud anchor
Isssue 2005a 92
Features:
- high loading capacity
- force-controlled expansion
- long thread
- head marking for identification after setting
- firestop assessment
- pre-assembled with nut and washer → time saving
- cold formed
Material:
HSA: - carbon steel, zinc plated to min. 5 µm
HSA-R: - stainless steel, A4 grade; 1.4401
HSA-F: - carbon steel, hot dipped galvanised to min.35 µm (M6-M16) and to min. 45µm (M20)
HSA / HSA-R / HSA-F
A4316
Concrete Small edge distance / spacing
Fire resistance
Hilti Anchor programme
Corrosion resistance
Basic loading data (for a single anchor): HSA All data on this page applies to For detailed design method, see pages 97 – 102. • concrete: as specified in the table • no edge distance and spacing influence • correct setting (See setting operations page 96) • steel failure
non-cracked concrete
Mean ultimate resistance, Ru,m [kN]: concrete ≅ C20/25 Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRu,m 12.5 20.1 20.6 39.7 62.5 100.1 9.2 12.8 18.3 19.8 38.3 44.4 Shear, VRu,m 8.4 15.5 22.4 35.1 63.3 84.2 10.6 16.7 23.4 35.1 62.6 84.2 Characteristic resistance, Rk [kN]: concrete ≅ C20/25 Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRk 6.0 12.0 16.0 25.0 38.9 52.6 5.0 9.0 12.0 17.9 25.8 34.7 Shear, VRk 5.5 9.5 16.0 23.2 39.3 61.3 5.5 9.5 16.0 23.2 39.3 61.3 Following values according to the
Concrete Capacity Method Design resistance, Rd [kN]: concrete, fck,cube = 25 N/mm2
Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRd 3.3 8.0 10.7 16.7 25.9 35.1 2.8 6.0 8.0 11.9 17.2 23.1 Shear, VRd 4.0 6.2 9.9 14.3 26.7 41.7 4.0 6.2 9.9 14.3 26.7 41.7 Recommended load, Lrec [kN]: concrete, fck,cube = 25 N/mm2
Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRec 2.4 5.7 7.6 11.9 18.5 25.1 2.0 4.3 5.7 8.5 12.3 16.5 Shear, VRec 2.9 4.4 7.1 10.2 19.1 29.8 2.9 4.4 7.1 10.2 19.1 29.8
HSA stud anchor
93 Issue 2005a
Basic loading data (for a single anchor): HSA-R All data on this section applies to For detailed design method, see pages 97 - 102. • concrete: as specified in the table • no edge distance and spacing influence • correct setting (See setting operations page 96) • steel failure
non-cracked concrete
Mean ultimate resistance, Ru,m [kN]: concrete ≅ C20/25 Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRu,m 11.2 17.2 20.1 33.6 52.3 69.0 9.2 12.8 18.3 19.8 30.0 43.0 Shear, VRu,m 8.7 20.0 24.0 35.4 62.2 97.0 9.5 14.3 24.6 27.5 62.2 97.0 Characteristic resistance, Rk [kN]: concrete ≅ C20/25 Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRk 6.0 12.0 12.0 25.0 38.7 44.1 7.1 7.5 12.0 21.4 23.0 33.0 Shear, VRk 6.0 11.0 17.0 25.0 51.8 80.9 6.0 11.0 17.0 25.0 51.8 80.9 Following values according to the
Concrete Capacity Method Design resistance, Rd [kN]: concrete, fck,cube = 25 N/mm2
Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRd 3.3 6.7 6.7 11.9 21.5 24.5 1.9 4.2 5.7 11.9 12.8 18.5 Shear, VRd 4.0 7.3 11.3 16.7 31.4 49.0 4.0 7.3 11.3 16.7 31.4 49.0 Recommended load, Lrec [kN]: concrete fck,cube = 25 N/mm2
Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, Nrec 2.4 4.8 4.8 8.5 15.4 17.5 1.4 3.0 4.1 8.5 9.1 13.2 Shear, Vrec 2.9 5.2 8.1 11.9 22.4 35.0 2.8 5.2 8.1 11.9 22.4 35.0
HSA stud anchor
Isssue 2005a 94
Basic loading data (for a single anchor): HSA-F All data on this page applies to For detailed design method, see pages 97 - 102. • concrete: as specified in the table • no edge distance and spacing influence • correct setting (See setting operations page 96) • steel failure
non-cracked concrete
Mean ultimate resistance, Ru,m [kN]: concrete ≅ C20/25 Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRu,m 11.1 18.3 25.3 38.3 45.6 64.4 10.4 14.2 20.8 26.8 39.8 54.1 Shear, VRu,m 8.4 15.5 22.4 35.1 63.3 84.2 10.6 16.7 23.4 35.1 62.6 84.2 Characteristic resistance, Rk [kN]: concrete ≅ C20/25 Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRk 6.0 12.0 16.0 25.0 38.9 52.6 5.0 9.0 12.0 17.9 25.8 34.7 Shear, VRk 5.5 9.5 16.0 23.2 39.3 61.3 5.5 9.5 16.0 23.2 39.3 61.3 Following values according to the
Concrete Capacity Method Design resistance, Rd [kN]: concrete, fck,cube = 25 N/mm2
Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRd 3.3 8.0 10.7 16.7 25.9 35.1 2.8 6.0 8.0 11.9 17.2 23.1 Shear, VRd 4.0 6.2 9.9 14.3 26.7 41.7 4.0 6.2 9.9 14.3 26.7 41.7 Recommended load, Lrec [kN]: concrete, fck,cube = 25 N/mm2
Anchor size M6 M8 M10 M12 M16 M20 M6 M8 M10 M12 M16 M20
Standard anchorage depth Reduced anchorage depth Tensile, NRec 2.4 5.7 7.6 11.9 18.5 25.1 2.0 4.3 5.7 8.5 12.3 16.5 Shear, VRec 2.9 4.4 7.1 10.2 19.1 29.8 2.9 4.4 7.1 10.2 19.1 29.8
HSA stud anchor
95 Issue 2005a
Setting details
HSA standard anchorage depth
HSA reduced anchorage depth
first mark: blue ring second mark: thread end
Anchor size
Setting Details
M6x
50
M6x
65
M6x
85
M6x
100
M8x
57
M8x
75
M8x
92
M8x
115
M8x
137
M10
x68
M10
x90
M10
x108
M10
x120
M10
x140
HSA-R available: OK OK OK OK OK OK OK OK OK OK HSA-F available: OK OK OK OK OK OK OK OK OK OK do [mm] Nominal dia. of drill bit 6 8 10 I [mm] Anchor length 50 65 85 100 57 75 92 115 137 68 90 108 120 140 Head Marking (letter code) A C D E B C E G H C E F G I IG [mm] Thread length 15 30 50 65 20 35 52 75 97 25 42 60 72 92 Tinst [Nm] Torque moment* 5 15 30 SW [mm] Width across nut flats 10 13 17 df [mm] Clearance hole diameter 7 9 12
h1 [mm] min. depth of drill hole - 55 - 65 - 70 hef [mm] effective embed. depth - 40 - 48 - 50 hnom [mm] min. embedment depth - 47 - 55 - 59 tfix [mm] max. fastenable thickness - 10 30 45 - 10 27 50 72 - 20 37 50 70 st
anda
rd
embe
dmen
t
hmin [mm] min. concrete thickness - 100 - 100 - 100
h1 [mm] min. depth of drill hole 45 50 60 hef [mm] effective embed. depth 30 35 42 hnom [mm] min. embedment depth 37 42 51 tfix [mm] max. fastenable thickness 5 20 40 55 5 23 40 63 85 5 25 45 57 77 re
duce
d em
bedm
ent
hmin [mm] min. concrete thickness 100 100 100
Required drill bit TE-CX-6 TE-CX-8 TE-CX-10
hef fix
hmin
h1
d 0 Tinst
Marking
t
d f
Head marking
HSA stud anchor
Isssue 2005a 96
Anchor size Setting Details
M12
x80
M12
x100
M12
x120
M12
x150
M12
x180
M12
x220
M12
x240
M12
x300
M16
x100
M16
x120
M16
x140
M16
x190
M16
x240
M20
x125
M20
x170
HSA-R available: OK OK OK OK OK OK OK OK HSA-F available: OK OK OK OK OK OK OK OK OK do [mm] Nominal dia. of drill bit 12 16 20 I [mm] Anchor length 80 100 120 150 180 220 240 300 100 120 140 190 240 125 170Head Marking (letter code) D E G I L O P S E G I L P G K IG [mm] Thread length 30 45 65 95 125 165 180 180 35 50 70 120 1) 170 45 85 Tinst [Nm] Tightening torque* 50 100 200 SW [mm] Width across nut flats 19 24 30 df [mm] Clearance hole diameter 14 18 22
h1 [mm] min. depth of drill hole - 95 - 115 - 130hef [mm] effective embed. depth - 70 - 84 - 103hnom [mm] min. embedment depth - 80 - 95 - 115tfix [mm] max. fastenable thickness - 5 25 55 85 125 145 205 - 5 25 75 125 - 30 st
anda
rd
embe
dmen
t
hmin [mm] min. concrete thickness - 140 - 170 - 210
h1 [mm] min. depth of drill hole 70 90 105 hef [mm] effective embed. depth 50 64 78 hnom [mm] min. embedment depth 60 75 90 tfix [mm] max. fastenable thickness 5 25 45 75 105 145 165 225 5 25 45 95 145 10 55 re
duce
d em
bedm
ent
hmin [mm] min. concrete thickness 100 130 160
Required drill bit TE-CX-12 TE-C-16 or TE-Y-16 TEC-S 20TE-Y 20
* please note that the torque moment is the same for standard and reduced embedment 1) thread length of HSA-R: 80 mm Installation equipment Rotary hammer (TE1, TE 2, TE5, TE6, TE6A, TE15, TE15-C, TE18-M, TE 35, TE 55, TE 76), drill bit, blow-out pump, torque wrench and hexagon drive socket appropriately sized for correct setting. Setting operations
Drill hole with drill bit.
Blow out dust and fragments.
Install anchor.
Apply tightening torque.
Mechanical properties of the anchor bolt
Anchor size HSA M6 M8 M10 M12 M16 M20 As [mm2] Stressed cross-section in thread 20.1 36.6 58.0 84.3 157.0 245.0 fuk [N/ mm2] Nominal tensile strength in thread 550 520 550 550 500 500 As,i [mm2] Stressed cross-section in taper transition 13.5 25.5 44.2 62.2 114.0 186.3 fuk [N/ mm2] Nominal tensile strength of taper transition 700 650 650 650 580 520 Wel [mm3] Elastic moment of resistance 12.7 31.2 62.3 109 277 541 MRd,s [Nm] Design bending moment1) 7.6 18.7 37.4 71.9 182.8 291.6
HSA stud anchor
97
Anchor size HSA-R M6 M8 M10 M12 M16 M20 As [mm2] Stressed cross-section in thread 20.1 36.6 58.0 84.3 157.0 245.0 fuk [N/ mm2] Nominal tensile strength of thread 800 700 700 700 650 700 As,i [mm2] Stressed cross-section in taper transition 13.5 25.5 44.2 62.2 114.0 186.3 fuk [N/ mm2] Nominal tensile strength of taper transition 800 800 800 800 800 600 Wel [mm3] Elastic moment of resistance 12.7 31.2 62.3 109 277.0 540.0 MRd,s [Nm] Design bending moment 1) 9.1 18.7 37.4 65.4 166.2 324.0
Anchor size HSA-F M6 M8 M10 M12 M16 M20 As [mm2] Stressed cross-section in thread 20.1 36.6 58.0 84.3 157.0 245.0 fuk [N/ mm2] Nominal tensile strength of thread 550 520 550 550 500 500 As,i [mm2] Stressed cross-section in taper transition 13.5 25.5 44.2 62.2 114.0 186.3 fuk [N/ mm2] Nominal tensile strength of taper transition 750 650 650 650 580 520 Wel [mm3] Elastic moment of resistance 12.7 31.2 62.3 109 277 541 MRd,s [Nm] Design bending moment 1) 7.6 18.7 37.4 71.9 182.8 292.1
1) The design bending moment is calculated from MRd,s = 1.2·Wel·fuk/γMs where the partial safety factor γMs varies with anchor types and sizes. Detailed design method - Hilti CC
TENSION The tensile design resistance of a single anchor is the lower of
( he Hilti CC method is a simplified version of ETAG Annex C.)
NRd,p : concrete pull-out resistance
NRd,c : concrete cone resistance
NRd,s : steel resistance
NRd,p : Pull-out resistance BN
osta./red.p,Rd,pRd, fNN ⋅=
N0
Rd,p,sta./red.: Design pull-out resistance • Concrete compressive strength, fck,cube(150) = 25 N/mm2 Anchor size HSA M6 M8 N0
Rd,p,sta. [kN] Standard anchorage depth 3.3 8.0 N0
Rd,p,red. [kN] Reduced anchorage depth 2.8* 6.0* Anchor size HSA-R M6 M8 N0
Rd,p,sta. [kN] Standard anchorage depth 3.3 6.7 N0
Rd,p,red. [kN] Reduced anchorage depth 1.9 4.2* Anchor size HSA-F M6 M8 N0
Rd,p,sta. [kN] Standard anchorage depth 3.3 8.0 N0
Rd,p,red. [kN] Reduced anchorage depth 2.8* 6.0* The tensile design resistance is calculated from the tensile characteristic resistance No
Rk
varies γMp varies with anchor type and size (as per relevant approval). *Use is restricted to anchoring of structural components which are statically indeterminat** Pull-out is not decisive for the design.
T Nrec,p/c/s
M10
10.7 8.0
M10
6.7 5.7
M10
10.7 8.0
,p by NoRd,p= No
e.
c sh
Issue 2005a
M12 M16 M20
16.7 -** -** -** -** -**
M12 M16 M20
11.9 21.5 24.5 -** 12.8 18.5
M12 M16 M20
16.7 -** -** -** -** -**
Rk,p/γMp where the partial safety factor
HSA stud anchor
Isssue 2005a 98
NRd,c : Concrete cone resistance
.red/.sta,RN.red/.sta,ANBNTo
.red/.sta,c,Rdc,Rd ffffNN ⋅⋅⋅⋅=
N0
Rd,c,sta./red.: Design concrete cone resistance • concrete compressive strength, fck,cube(150) = 25 N/mm2 Anchor size HSA M6 M8 M10 M12 M16 M20 N0
Rd,c,sta. [kN] Standard anchorage depth 7.1 11.2 11.9 19.7 25.9 35.1
N0Rd,c,red. [kN] Reduced anchorage depth 4.6* 7.0* 9.1 11.9 17.2 23.1
Anchor size HSA-R M6 M8 M10 M12 M16 M20 N0
Rd,c,sta. [kN] Standard anchorage depth 7.1 9.3 9.9 14.1 25.9 35.1N0
Rd,c,red. [kN] Reduced anchorage depth 3.9 7.0* 9.1 11.9 17.2 23.1
Anchor size HSA-F M6 M8 M10 M12 M16 M20 N0
Rd,c,sta. [kN] Standard anchorage depth 7.1 11.2 11.9 19.7 25.9 35.1
N0Rd,c,red. [kN] Reduced anchorage depth 4.6* 7.0* 9.1 11.9 17.2 23.1
The tensile design resistance is calculated from the tensile characteristic resistance NoRk,c by No
Rd,c= NoRk,c/γMc,N where the partial safety factor
varies γMc,N varies with anchor type and size (as per relevant approval). *Use is restricted to anchoring of structural components which are statically indeterminate. fT : Influence of anchorage depth
5.1
red.ef,
act.T h
hf ⎟
⎟⎠
⎞⎜⎜⎝
⎛= Limits: hef,red. ≤ hact. ≤ hef,sta.
fBN : Influence of concrete strength
Concrete strength designation (ENV 206)
Cylinder compressive strength,
fck,cyl [N/mm²]
Cube compressive strength,
fck,cube [N/mm²]
fB
C20/25 20 25 1 C30/37 30 37 1.17 C40/50 40 50 1.32 C50/60 50 60 1.42
fAN,sta. : Influence of anchor spacing on standard anchorage depth
for HSA and HSA-F 0.4
25
cubec,fBNf ⎟⎟
⎠
⎞⎜⎜⎝
⎛=
Limits: 25N/mm2≤ fck,cube≤60N/mm2
for HSA-R fBN=1
Anchor spacing, HSA, HSA-R, HSA-F s [mm] M6 M8 M10 M12 M16 M20
40 0.67 50 0.71 0.67 55 0.73 0.69 0.68 75 0.81 0.76 0.75 0.67 90 0.88 0.81 0.80 0.71 0.68 105 0.94 0.86 0.85 0.75 0.71 0.67 120 1.00 0.92 0.90 0.79 0.74 0.69 130 0.95 0.93 0.81 0.76 0.71 144 1.00 0.98 0.84 0.79 0.73 150 1.00 0.86 0.80 0.74 180 0.93 0.86 0.79 210 1.00 0.92 0.84 230 0.96 0.87 252 1.00 0.91 280 0.95 300 0.99 309 1.00
sta.,efsta.,AN h6
s0.5f⋅
+=
Limits:
N,crmin sss ≤≤
sta.ef,Ncr, h3s ⋅=
HSA stud anchor
99 Issue 2005a
fAN,red. : Influence of anchor spacing on reduced anchorage depth
Anchor spacing, HSA, HSA-R, HSA-F s [mm] M6 M8 M10 M12 M16 M20
35 0.68 0.67 55 0.78 0.76 0.72 75 0.89 0.86 0.80 90 0.96 0.93 0.86 100 1.00 0.98 0.90 0.83 0.76 0.71 105 1.00 0.92 0.85 0.77 0.72 120 0.98 0.90 0.81 0.76 126 1.00 0.92 0.83 0.77 140 0.97 0.86 0.80 150 1.00 0.89 0.82 180 0.97 0.88 192 1.00 0.91 200 0.93 210 0.95 230 0.99 234 1.00
red.efred.,AN h6
s0.5f⋅
+=
Limits:
N,crmin sss ≤≤
staef,Ncr, h3s ⋅=
fRN,sta.: Influence of edge distance on standard anchorage depth
Edge distance, HSA, HSA-R, HSA-F c [mm] M6 M8 M10 M12 M16 M20
50 0.87 60 1.00 0.87 65 0.92 0.90 72 1.00 0.97 75 1.00 90 0.89 105 1.00 0.87 120 0.96 125 0.99 0.85 144 0.93 150 0.98 154 1.00
.sta,ef
.sta,RN hc52.022.0f ⋅+=
Limits: N,crmin ccc ≤≤ .sta,efN,cr h5.1c ⋅= Note: If more than 3 edges are smaller than ccr,
consult the Hilti technical advisory service.
fRN,red. : Influence of edge distance on reduced anchorage depth fR,N=1.0
Anchor size HSA, HSA-F M6 M8 M10 M12 M16 M20
smin [mm] Min. spacing 40 50 55 75 90 105 Standard effective anchorage depth, hef,sta. cmin [mm] Min. edge distance 50 60 65 90 105 125
smin [mm] Min. spacing 35 35 55 100 100 100 Reduced effective anchorage depth, hef,red. cmin [mm] Min. edge distance 38 45 65 100 100 115
Anchor size HSA-R M6 M8 M10 M12 M16 M20
smin [mm] Min. spacing 40 50 65 75 90 105 Standard effective anchorage depth, hef,sta. cmin [mm] Min. edge distance 50 60 75 90 105 125
smin [mm] Min. spacing 35 35 55 100 100 100 Reduced effective anchorage depth, hef,red. cmin [mm] Min. edge distance 38 45 65 100 100 115
HSA stud anchor
Issue 2005a
NRd,s : Steel design tensile resistance Anchor size M6 M8 M10 M12 M16 M20
NRd,s [kN] HSA 5.6 9.6 17.6 24.8 43.8 71.6
NRd,s [kN] HSA-R 6.9 12.5 21.9 30.6 43.8 62.8
NRd,s [kN] HSA-F 5.6 9.6 17.6 24.8 43.8 71.6
The design tensile resistance is calculated from the characteristic tensile resistance, NRk,s , using NRd,s= NRk,s /γMs, where the partial safety factor varies γMs varies with anchor type and size (as per relevant approval).
NRd : System design tensile resistance
NRd = lower of NRd,p , NRd,c and NRd,s
Combined loading: Only if tensile load and shear load applied (See page 31 and section 4 “Examples”). Detailed design method – Hilti CC
(The Hilti CC method is a simplified version of ETAG Annex C.)
V
c srec,c/sc >1.5c
2
c >1.5c2
h>1.5c
SHEAR The design shear resistance of a single anchor is the lower of
VRd,c : concrete edge resistance VRd,s : steel resistance
VRd,c : Concrete edge design resistance The lowest concrete edge resistance must be calculated. All nthe direction of shear). The direction of shear is accounted for
V,ARV,Bo
.red/.sta,c,Rdc,Rd fffVV ⋅⋅⋅= β V0
Rd,c,sta./red. : Concrete edge design resistance • Concrete compressive strength, fck,cube(150) = 25 N/mm2 • at minimum edge distance minc
Anchor size HSA M6
V0Rd,c,sta. [kN] Standard anchorage depth 2.6
V0Rd,c,red. [kN] Reduced anchorage depth 2.2
Note: If the conditions for h and c2 are not met, consult your Hilti technical advisory service.
100
ear edges must be checked, (not only the edge in by the factor fβ,V.
M8 M10 M12 M16 M20
3.8 4.8 8.8 12.5 18.2
* 2.4* 4.6 9.6 11.0 15.1
HSA stud anchor
101
Anchor size HSA-R M6 M8 M10 M12 M16 M20
V0Rd,c,sta. [kN] Standard anchorage depth 2.6 3.8 5.9 8.8 12.5 18.2
V0Rd,c,red. [kN] Reduced anchorage depth 2.2 2.4* 4.6 9.6 11.0 15.1
Anchor size HSA-F M6 M8 M10 M12 M16 M20
V0Rd,c,sta. [kN] Standard anchorage depth 2.6 3.8 4.8 8.8 12.5 18.2
V0Rd,c,red. [kN] Reduced anchorage depth 2.2* 2.4* 4.6 9.6 11.0 15.1
The shear design resistance is calculated from the shear characteristic resistance VoRk,c by Vo
Rd,c= VoRk,c/γMc,V, where the partial
safety factor γMc,V is equal to 1.5. *Use is restricted to anchoring of structural components which are statically indeterminate. fB: Influence of concrete strength
Concrete strength designation (ENV 206)
Cylinder compressive strength,
fck,cyl [N/mm²]
Cube compressive strength,
fck,cube [N/mm²]
fB
C20/25 20 25 1 C25/30 25 30 1.1 C30/37 30 37 1.22 C35/45 35 45 1.34 C40/50 40 50 1.41 C45/55 45 55 1.48 C50/60 50 60 1.55
25f
f cube,ckB =
Limits: 25 N/mm2 ≤ fck,cube(150) ≤ 60 N/mm2
Concrete cylinder: height 30cm, 15cm
diameter
Concrete cube: side length 15cm
Concrete test specimen geometry
fβ,V : Influence of shear loading direction
Angle, β [°] fβ,V
0 to 55 1 60 1.1 70 1.2 80 1.5
90 to 180 2
Formulae: 1f V, =β
β+β=β sin5.0cos
1f V,
2f V, =β
for 0° ≤ β ≤ 55°
for 55° < β ≤ 90°
for 90° < β ≤ 180°
fAR,V : Influence of edge distance and spacing
Formula for single-anchor fastening influenced only by edge
minminV,AR c
cc
cf =
Formula for two-anchor fastening valid for s < 3c
minminV,AR c
cc6
sc3f +=
General formula for n-anchor fastening (edge plus n-1 spacing) only valid where s1 to sn-1 are all < 3c and c2 > 1.5c.
minmin
1n21V,AR c
cnc3
s...ssc3f ⋅++++
= −
n-1sc2,1
Note: It is ass the free
results tabulated below
Issue 2005a
ccs
ss
2,2
12
3
h >1,5 c
umed that only the row of anchors closest to concrete edge carries the centric shear load.
V ... applied shear force
β
HSA stud anchor
102
c/cminfAR.V 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 Single anchor with
edge influence, 1.00 1.31 1.66 2.02 2.41 2.83 3.26 3.72 4.19 4.69 5.20 5.72 6.27 6.83 7.41 8.00
s/cmin 1.0 0.67 0.84 1.03 1.22 1.43 1.65 1.88 2.12 2.36 2.62 2.89 3.16 3.44 3.73 4.03 4.33 1.5 0.75 0.93 1.12 1.33 1.54 1.77 2.00 2.25 2.50 2.76 3.03 3.31 3.60 3.89 4.19 4.50
2.0 0.83 1.02 1.22 1.43 1.65 1.89 2.13 2.38 2.63 2.90 3.18 3.46 3.75 4.05 4.35 4.672.5 0.92 1.11 1.32 1.54 1.77 2.00 2.25 2.50 2.77 3.04 3.32 3.61 3.90 4.21 4.52 4.833.0 1.00 1.20 1.42 1.64 1.88 2.12 2.37 2.63 2.90 3.18 3.46 3.76 4.06 4.36 4.68 5.003.5 1.30 1.52 1.75 1.99 2.24 2.50 2.76 3.04 3.32 3.61 3.91 4.21 4.52 4.84 5.174.0 1.62 1.86 2.10 2.36 2.62 2.89 3.17 3.46 3.75 4.05 4.36 4.68 5.00 5.334.5 1.96 2.21 2.47 2.74 3.02 3.31 3.60 3.90 4.20 4.52 4.84 5.17 5.505.0 2.33 2.59 2.87 3.15 3.44 3.74 4.04 4.35 4.67 5.00 5.33 5.675.5 2.71 2.99 3.28 3.57 3.88 4.19 4.50 4.82 5.15 5.49 5.836.0 2.83 3.11 3.41 3.71 4.02 4.33 4.65 4.98 5.31 5.65 6.006.5 3.24 3.54 3.84 4.16 4.47 4.80 5.13 5.47 5.82 6.177.0 3.67 3.98 4.29 4.62 4.95 5.29 5.63 5.98 6.337.5 4.11 4.43 4.76 5.10 5.44 5.79 6.14 6.508.0 4.57 4.91 5.25 5.59 5.95 6.30 6.678.5 5.05 5.40 5.75 6.10 6.47 6.839.0 5.20 5.55 5.90 6.26 6.63 7.009.5 5.69 6.05 6.42 6.79 7.1710.0 6.21 6.58 6.95 7.3310.5 6.74 7.12 7.5011.0 7.28 7.6711.5 7.83
12.0 8.00
These results are for a two-. Anchor fastening. For fastening made with more than 2 anchors, use the general formulae for n anchors the page before.
VRd,s : Steel design shear resistance Anchor size M6 M8 M10 M12 M16 M20
VRd,s [KN] HSA 4.0 6.2 9.9 14.3 26.7 41.7
Anchor size M6 M8 M10 M12 M16 M20
VRd,s [KN] HSA-R 4.0 7.3 11.3 16.7 31.4 49.0
Anchor size M6 M8 M10 M12 M16 M20
VRd,s [KN] HSA-F 4.0 6.2 9.9 14.3 26.7 41.7 The design shear resistance is calculated from the characteristic shear resistance, VRk,s , using VRd,s= VRk,s /γMs, where the partial safety factor varies γMs varies with anchor type and size (as per relevant approval). VRd : System design shear resistance
VRd = lower of VRd,c,sta./red. and VRd,s
Combined loading: Only if tensile load and shear load applied (See page 31 and section 4 “Examples”).