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STUD ANCHOR DESIGN |
Combined Tension and Shear |
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Result Summary
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Anchor Rod Embedment, Spacing and Edge Distance
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Warn
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Overall
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ratio
|
=
|
0.71
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OK
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Seismic Design
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Tension
|
=
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OK
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Shear
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=
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OK
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Design Code Reference
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Welded stud design based on
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Code Abbreviation
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ACI 318M-11 Building Code Requirements for Structural Concrete and Commentary Appendix
D
|
ACI 318M-11
|
PIP STE05121 Anchor Bolt Design Guide-2006
|
PIP STE05121
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Code Reference
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Welded Stud Data
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Factored tensile force
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Nu
|
=
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[kN]
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Factored shear force
|
Vu
|
=
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|
[kN]
|
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Concrete strength
|
f'c
|
=
|
|
[MPa]
|
Error: the conc strength shall be 10~70 MPa
|
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Welded stud material
|
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=
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Anchor tensile strength
|
futa
|
=
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65.0 |
[MPa]
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ACI 318M-11
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Anchor is ductile steel element
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D.1
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Welded stud diameter
|
da
|
=
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[in]
|
|
=
|
19.1
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[mm] |
|
Anchor effective cross section area
|
Ase
|
=
|
285
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[mm2]
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Welded stud head bearing area
|
Abrg
|
= |
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[mm2]
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PIP STE05121
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Welded stud edge distance c1
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c1
|
=
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[mm]
|
114
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|
OK
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Page A -1 Table 1
|
Welded stud edge distance c2
|
c2
|
=
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[mm]
|
114
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|
OK
|
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Welded stud edge distance c3
|
c3
|
=
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[mm]
|
114
|
|
OK
|
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Welded stud edge distance c4
|
c4
|
=
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[mm]
|
114
|
|
OK
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Welded stud embedment depth
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hef
|
=
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[mm]
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|
ACI 318M-11
|
ci ≥ 1.5hef for at least two edges to avoid reducing of hef when Nu > 0 |
|
OK
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|
D.5.2.3 |
Welded stud adjusted hef for design |
hef |
= |
|
[mm]
|
229
|
|
OK
|
|
D.5.2.3 |
Concrete thickness |
ha
|
=
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|
[mm]
|
381
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Warn
|
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Supplementary reinforcement |
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For tension |
|
= |
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Condition A
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D.4.3 (c) |
For shear |
Yc,v |
= |
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Condition A
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D.6.2.7 |
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ACI 318M-11
|
Provide built-up grout pad ?
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=
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D.6.1.3
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Concrete cracking |
|
= |
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D.5.2.6, D5.3.6, D.6.2.7 |
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ACI 318M-11
|
Seismic design category SDC >= C
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=
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D.3.3.1
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Welded stud load E <= 0.2U
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Tensile
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=
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Shear
|
=
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D.3.3.4.1 & D.3.3.5.1
|
Welded stud satisfies opion
|
Tensile
|
=
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Shear
|
=
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D.3.3.4.3 & D.3.3.5.3
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Strength reduction factors
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ACI 318M-11
|
Anchor reinforcement
|
fs
|
=
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0.75
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D.5.2.9 & D.6.2.9
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Anchor rod - ductile steel
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ft,s
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=
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0.75
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fv,s
|
=
|
0.65
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|
D.4.3 (a)
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Concrete |
ft,c
|
=
|
0.75 Cdn-A
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fv,c
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=
|
0.75 Cdn-A
|
D.4.3 (c)
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CONCLUSION
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Anchor Rod Embedment, Spacing and Edge Distance
|
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Warn
|
|
Overall
|
ratio
|
=
|
0.71
|
OK
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Tension
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Anchor Rod Tensile Resistance
|
ratio
|
=
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0.46
|
OK
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Concrete Tensile Breakout Resistance |
ratio
|
=
|
0.31
|
OK
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Anchor Pullout Resistance
|
ratio
|
=
|
0.58
|
OK
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Side Blowout Resistance
|
ratio
|
=
|
0.00
|
NA
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Shear
|
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Anchor Rod Shear Resistance
|
ratio
|
=
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0.27
|
OK
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Concrete Shear Breakout Resistance - Perpendicular To Edge |
ratio
|
=
|
0.25
|
OK
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|
Concrete Shear Breakout Resistance - Parallel To Edge |
ratio
|
=
|
0.11
|
OK
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Concrete Pryout Shear Resistance |
ratio
|
= |
0.08
|
OK
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Tension Shear Interaction
|
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Tension Shear Interaction
|
ratio
|
=
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0.71
|
OK
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Seismic Design
|
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ACI 318M-11
|
Tension
|
Applicable
|
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OK
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D.3.3.4
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Seismic SDC>=C and E>0.2U , Option D is selected to satisfy additional seismic requirements as per D.3.3.4.3
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Shear
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Applicable
|
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OK
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D.3.3.5
|
Seismic SDC>=C and E>0.2U , Option C is selected to satisfy additional seismic requirements as per D.3.3.5.3
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Assumptions
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ACI 318M-11
|
1. Concrete is cracked
|
D.5.2.6, D5.3.6, D.6.2.7
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2. Condition A - supplementary reinforcement provided
|
D.4.3 (c)
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3. Load combinations shall be per ACI 318M-11 9.2
|
D.4.3
|
4. Tensile load acts through center of bolt group Yec,N =1.0 |
D.5.2.4 |
5. Shear load acts through center of bolt group Yec,V =1.0 |
D.6.2.5 |
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CACULATION
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Anchor Rod Tensile Resistance
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|
ACI 318M-11
|
|
f t,s Nsa
|
=
|
f t,s Ase futa
|
=
|
95.9
|
[kN]
|
D.5.1.2 (D-2)
|
|
ratio
|
=
|
0.46
|
>
|
Nu
|
OK
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Concrete Tensile Breakout Resistance |
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|
ACI 318M-11
|
|
Nb |
= |
10 l
√fc hef1.5 if hef <280 or hef>635
|
= |
322.5
|
[kN]
|
D.5.2.2 (D-6) |
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|
3.9 l √fc hef(5/3) if 280≤ hef ≤635 |
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|
D.5.2.2 (D-7) |
Projected conc failure area |
1.5 hef |
= |
|
= |
458
|
[mm] |
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ANC |
= |
[min(c1,1.5hef)+min(c3,1.5hef)]x |
= |
7.0E+05
|
[mm2] |
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|
[min(c2,1.5hef)+min(c4,1.5hef)] |
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ANCO |
= |
9 hef2 |
= |
8.4E+05
|
[mm2] |
D.5.2.1 (D-5) |
|
ANC |
= |
min ( ANC, 1x ANCO ) |
= |
7.0E+05
|
[mm2] |
D.5.2.1 |
Min edge distance |
cmin |
= |
min( c1, c2, c3, c4 ) |
= |
380
|
[mm] |
|
Eccentricity effects |
Ψec,N |
= |
1.0 for no eccentric load |
|
|
|
D.5.2.4 |
Edge effects |
Ψed,N |
= |
min[ (0.7+0.3cmin/1.5hef), 1.0 ] |
= |
0.95
|
|
D.5.2.5 |
Concrete cracking |
Ψc,N |
= |
1 for cracked concrete
|
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|
D.5.2.6 |
Concrete splitting |
Ψcp,N |
= |
1.00 for cast-in anchor |
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|
D.5.2.7 |
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|
Concrete breakout resistance |
ftcNcbg |
= |
ftc |
ANC |
Ψec,N Ψed,N Ψc,N Ψcp,N Nb |
ANCO |
|
= |
192.3
|
[kN]
|
D.5.2.1 (D-4) |
|
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|
Seismic design strength reduction |
|
= |
x 0.75 applicable
|
= |
144.2
|
[kN]
|
D.3.3.4.4 |
|
ratio
|
=
|
0.31
|
>
|
Nu
|
OK
|
|
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|
Anchor Pullout Resistance
|
|
|
|
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|
ACI 318M-11
|
Single bolt pullout resistance
|
N p
|
=
|
8 Abrg fc'
|
=
|
145.0
|
[kN]
|
D.5.3.4 (D-14)
|
|
ft,c Npn
|
=
|
f t,c Ψc,p Np
|
=
|
101.5
|
[kN]
|
D.5.3.1 (D-13)
|
|
Ψc,p
|
=
|
1.00 for cracked concrete
|
|
|
|
D.5.3.6
|
|
f t,c
|
=
|
0.70
|
pullout strength is always Condition B
|
D.4.3(c)
|
Seismic design strength reduction
|
|
=
|
x 0.75 applicable
|
=
|
76.1
|
[kN]
|
D.3.3.4.4
|
|
ratio
|
=
|
0.58
|
>
|
Nu
|
OK
|
|
|
|
|
|
|
|
|
|
Side Blowout Resistance
|
|
|
|
|
|
|
|
|
c
|
=
|
min ( c1, c2, c3, c4 ) |
=
|
380
|
[mm]
|
|
Check if side blowout applicable
|
hef
|
=
|
305
|
[mm]
|
|
|
|
|
ACI 318M-11
|
|
|
<
|
2.5c
|
side bowout is NOT applicable
| D.5.4.1
|
Single anchor SB resistance
|
ft,c Nsb
|
=
|
|
=
|
0.0
|
[kN]
|
D.5.4.1 (D-16)
|
Edge reduction factor |
|
= |
( 1+ ca2 / ca1 ) / 4 |
= |
0.50
|
|
D.5.4.1 |
SB resistance after edge reduction |
ftcNsb
|
=
|
ft,c Nsb x [1+ca2 / ca1] / 4
|
=
|
0.0
|
[kN]
|
D.5.4.1
|
Seismic design strength reduction
|
|
=
|
x 0.75 applicable
|
=
|
0.0
|
[kN]
|
D.3.3.4.4
|
|
ratio
|
=
|
0.00
|
|
Nu |
NA
|
|
|
|
|
|
|
|
|
|
Govern Tensile Resistance
|
Nr
|
=
|
min ( f Nsa, f
Ncb, f Npn, f
Nsb )
|
=
|
76.1
|
[kN]
|
|
|
|
|
|
|
|
|
|
Anchor Rod Shear Resistance
|
|
|
|
|
|
|
ACI 318M-11
|
|
f v,sVsa
|
=
|
f v,s Ase futa
|
=
|
83.1
|
[kN]
|
D.6.1.2 (a) (D-28) |
Reduction due to built-up grout pad
|
|
=
|
x 1.0 , not applicable
|
=
|
83.1
|
[kN]
|
D.6.1.3
|
|
ratio
|
=
|
0.27
|
>
|
Vu
|
OK
|
|
|
|
|
|
|
|
|
|
Conc. Shear Breakout Resistance - Perpendicular To Edge |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bolt edge distance |
ca1 |
= |
c1 |
= |
380
|
[mm] |
ACI 318M-11
|
Limiting ca1 when anchors are influenced by 3 or more edges |
= |
No
|
|
D.6.2.4 |
Bolt edge distance - adjusted |
ca1 |
= |
ca1 needs NOT to be adjusted
|
= |
380
|
[mm] |
D.6.2.4 |
|
1.5ca1 |
= |
|
= |
570
|
[mm] |
ACI 318M-11
|
|
Avc |
= |
[min(c2,1.5ca1)+ s2 +min(c4,1.5ca1)]x |
= |
3.6E+05
|
[mm2] |
D.6.2.1 |
|
|
|
min(1.5ca1, ha) |
|
|
|
ACI 318M-11
|
|
Avco |
= |
4.5ca12 |
= |
6.5E+05
|
[mm2] |
D.6.2.1 (D-32) |
|
Avc |
= |
min ( Avc, 1x Avco ) |
= |
3.6E+05
|
[mm2] |
D.6.2.1 |
|
le |
= |
min( 8da , hef ) |
= |
152
|
[mm] |
D.6.2.2 |
|
Vb1 |
= |
|
= |
193.5
|
[kN] |
D.6.2.3 (D-35) |
|
Vb2 |
= |
|
= |
164.0
|
[kN] |
D.6.2.2 (D-34) |
|
Vb |
= |
min( Vb1 , Vb2 ) |
= |
164.0
|
[kN] |
D.6.2.2 |
Eccentricity effects |
Ψec,v |
= |
1.0 shear acts through center of group |
|
|
|
D.6.2.5 |
Edge effects |
Ψed,v |
= |
min[ (0.7+0.3c2/1.5c1), 1.0 ] |
= |
0.90
|
|
D.6.2.6 |
Concrete cracking |
Ψc,v |
= |
concrete is cracked
|
= |
1.20
|
|
D.6.2.7 |
Member thickness |
Ψh,v |
= |
max[ (sqrt(1.5c1 / ha) , 1.0 ] |
= |
1.22
|
|
D.6.2.8 |
|
|
|
|
|
|
|
ACI 318M-11
|
Conc shear breakout resistance |
Vcb |
= |
fv,c |
Avc |
Ψec,v Ψed,v Ψc,v Ψh,v Vb |
Avco |
|
= |
90.4
|
[kN] |
D.6.2.1 (D-31) |
- perpendicular to edge |
|
|
|
|
|
|
|
|
ratio |
= |
0.25
|
>
|
Vu |
OK
|
|
|
|
|
|
|
|
|
|
Conc. Shear Breakout Resistance - Parallel To Edge |
|
|
|
|
|
|
|
|
|
|
|
|
Bolt edge distance |
ca1 |
= |
min(c2 , c4) |
= |
380
|
[mm] |
ACI 318M-11
|
Limiting ca1 when anchors are influenced by 3 or more edges |
= |
No
|
|
D.6.2.4 |
Bolt edge distance - adjusted |
ca1 |
= |
ca1 needs NOT to be adjusted
|
= |
380
|
[mm] |
D.6.2.4 |
|
1.5ca1 |
= |
|
= |
570
|
[mm] |
ACI 318M-11
|
|
Avc |
= |
[min(c1,1.5ca1) + s1+ min(c3,1.5ca1)]x |
= |
3.6E+05
|
[mm2] |
D.6.2.1 |
|
|
|
min(1.5ca1, ha) |
|
|
|
ACI 318M-11
|
|
Avco |
= |
4.5ca12 |
= |
6.5E+05
|
[mm2] |
D.6.2.1 (D-32) |
|
Avc |
= |
min ( Avc, nbd Avco ) |
= |
3.6E+05
|
[mm2] |
D.6.2.1 |
|
le |
= |
min( 8da , hef ) |
= |
152
|
[mm] |
D.6.2.2 |
|
Vb1 |
= |
|
= |
193.5
|
[kN] |
D.6.2.3 (D-35) |
|
Vb2 |
= |
|
= |
164.0
|
[kN] |
D.6.2.2 (D-34) |
|
Vb |
= |
min( Vb1 , Vb2 ) |
= |
164.0
|
[kN] |
D.6.2.2 |
Eccentricity effects |
Ψec,v |
= |
1.0 shear acts through center of group |
|
|
|
D.6.2.5 |
Edge effects |
Ψed,v |
= |
|
= |
1.00 |
|
D.6.2.1 (c) |
Concrete cracking |
Ψc,v |
= |
concrete is cracked
|
= |
1.20
|
|
D.6.2.7 |
Member thickness |
Ψh,v |
= |
max[ (sqrt(1.5ca1 / ha) , 1.0 ] |
= |
1.22
|
|
D.6.2.8 |
|
|
|
|
|
|
|
ACI 318M-11
|
Conc shear breakout resistance |
Vcb-p |
= |
2xfv,c |
Avc |
Ψec,v Ψed,v Ψc,v Ψh,v Vb |
Avco |
|
= |
200.8
|
[kN] |
D.6.2.1 (D-31) |
- parallel to edge |
|
|
|
|
|
|
D.6.2.1 (c) |
|
ratio |
= |
0.11
|
>
|
Vu |
OK
|
|
|
|
|
|
|
|
|
|
Conc. Pryout Shear Resistance
|
|
|
|
|
|
|
ACI 318M-11
|
|
kcp |
= |
2.0
|
|
|
|
D.6.3.1 |
Factored shear pryout resistance |
fv,cVcp |
= |
fv,c kcp Ncb |
= |
359.0
|
[kN] |
D.6.3.1 (D-41) |
|
f v,c
|
= |
0.7 pryout strength is always Condition B |
|
D.4.3 (c) |
|
|
|
|
|
|
|
|
Seismic design strength reduction
|
|
=
|
x 0.75 applicable
|
=
|
269.3
|
[kN]
|
D.3.3.4.4
|
|
ratio
|
=
|
0.08
|
>
|
Vu |
OK
|
|
|
|
|
|
|
|
|
|
Govern Shear Resistance
|
Vr
|
=
|
min ( fVsa , fVcb , fVcb-p , fVcp ) |
=
|
83.1
|
[kN]
|
|
|
|
|
|
|
|
|
|
Tension Shear Interaction
|
|
|
|
|
|
|
ACI 318M-11
|
Check if Nu >0.2f Nn and Vu
>0.2f Vn
|
=
|
Yes
|
|
|
|
D.7.1 & D.7.2
|
|
|
|
Nu / f Nn + Vu / f Vn
|
=
|
0.85
|
|
D.7.3 (D-42)
|
|
ratio
|
=
|
0.71
|
<
|
1.2
|
OK
|
|
|
|
|
|
|
|
|
|
Seismic Design
|
|
|
|
|
|
|
|
Tension
|
|
|
Applicable
|
|
|
OK
|
|
Option D is selected.
|
ACI 318M-11
|
User has to ensure that the tensile load Nu user input above includes
the seismic load E, with E increased
by multiplying overstrength factor Ωo
|
D.3.3.4.3(d)
|
|
|
|
|
|
|
|
|
|
|
Seismic SDC>=C and E>0.2U , Option D is selected to satisfy additional seismic requirements as per D.3.3.4.3
|
|
|
|
|
|
|
|
|
|
|
Shear
|
|
|
Applicable
|
|
|
OK
|
|
Option C is selected.
|
|
|
|
|
|
|
ACI 318M-11
|
User has to ensure that the shear load Vu user input above includes the
seismic load E, with E increased
by multiplying overstrength factor Ωo
|
D.3.3.5.3(c)
|
|
|
|
|
|
|
|
|
Seismic SDC>=C and E>0.2U , Option C is selected to satisfy additional seismic requirements as per D.3.3.5.3
|
|
|
|
|
|
|
|
|
|
|
|
|
|