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STUD ANCHOR DESIGN
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Combined Tension, Shear and Moment |
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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
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=
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0.67
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OK
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| Seismic Design
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Tension
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=
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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-14 Metric Building Code Requirements for Structural Concrete and Commentary |
ACI 318M-14
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| PIP STE05121 Anchor Bolt Design Guide-2006
|
PIP STE05121
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Welded Stud Data
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Code Reference
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| Factored moment |
Mu |
= |
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[kNm] |
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| Factored tension or compression
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Nu
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=
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[kN]
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in compression
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| Factored shear force
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Vu
|
=
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[kN]
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| No of bolt line for resisting moment |
= |
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| No of bolt along outermost bolt line |
= |
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| No of bolt along side edge |
nbd |
= |
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PIP STE05121
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| Outermost bolt line spacing s1
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s1
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=
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[mm]
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76
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OK
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Page A -1 Table 1
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| Outermost bolt line spacing s2
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s2
|
=
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[mm]
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76
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OK
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| Max spacing between anchors in tension |
= |
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[mm] |
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| Column depth |
d |
= |
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[mm] |
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| Concrete strength
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f'c
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=
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[MPa]
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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
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futa
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=
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65.0 |
[MPa]
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ACI 318M-14
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Anchor is ductile steel element
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2.3 & 17.3.3 (a)
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| Welded stud diameter
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da
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=
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[in]
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=
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19.1
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[mm] |
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| Anchor effective cross section area
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Ase
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=
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285
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[mm2]
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| Welded stud head bearing area
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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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=
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[mm]
|
114
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|
OK
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Page A -1 Table 1
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| 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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=
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[mm]
|
114
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OK
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| Welded stud edge distance c4
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c4
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=
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[mm]
|
114
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OK
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| |
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| Welded stud embedment depth
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hef
|
=
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[mm]
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ACI 318M-14
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| ci ≥ 1.5hef for at least two edges to avoid reducing of hef when Nu > 0 |
|
Warn
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17.4.2.3 |
| Welded stud adjusted hef for design |
hef |
= |
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[mm]
|
229
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Warn
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17.4.2.3 |
| Concrete thickness |
ha
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=
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[mm]
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381
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Warn
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| For conc shear breakout check use
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| Number of anchor at bolt line 1 |
n1 |
=
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| Number of anchor at bolt line 2 |
n2 |
= |
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| Total no of welded stud |
n |
= |
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| No of welded stud carrying tension
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nt
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=
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| No of welded stud carrying shear
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ns
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=
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| Supplementary reinforcement |
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ACI 318M-14
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| For tension |
|
= |
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Condition A
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17.3.3 (c) |
| For shear |
Yc,v |
= |
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Condition A
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17.5.2.7 |
| |
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ACI 318M-14
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| Provide built-up grout pad ?
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=
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17.5.1.3
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| Concrete cracking |
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= |
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17.4.2.6, 17.4.3.6, 17.5.2.7 |
| |
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ACI 318M-14
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| Seismic design category SDC >= C
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=
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17.2.3.1
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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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17.2.3.4.1 & 17.2.3.5.1
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| Welded stud satisfies opion
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Tensile
|
=
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Shear
|
=
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17.2.3.4.3 & 17.2.3.5.3
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| Strength reduction factors
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ACI 318M-14
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| Anchor reinforcement
|
fs
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=
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0.75
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17.4.2.9 & 17.5.2.9
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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
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=
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0.65
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17.3.3 (a)
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| Concrete |
ft,c
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=
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0.75 Cdn-A
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fv,c
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=
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0.75 Cdn-A
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17.3.3 (c)
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CONCLUSION
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| Anchor Rod Embedment, Spacing and Edge Distance
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Warn
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Overall
|
ratio
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=
|
0.67
|
OK
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Tension
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| Anchor Rod Tensile Resistance
|
ratio
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=
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0.13
|
OK
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| Concrete Tensile Breakout Resistance |
ratio
|
=
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0.41
|
OK
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| Anchor Pullout Resistance
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ratio
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=
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0.16
|
OK
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| Side Blowout Resistance
|
ratio
|
=
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0.00
|
NA
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Shear
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| Anchor Rod Shear Resistance
|
ratio
|
=
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0.07
|
OK
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| Concrete Shear Breakout Resistance - Perpendicular To Edge |
ratio
|
=
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0.40
|
OK
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| Concrete Shear Breakout Resistance - Parallel To Edge |
ratio
|
=
|
0.24
|
OK
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| Concrete Pryout Shear Resistance |
ratio
|
= |
0.19
|
OK
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Tension Shear Interaction
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| Tension Shear Interaction
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ratio
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=
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0.67
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OK
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Seismic Design
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ACI 318M-14
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Tension
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Applicable
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OK
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17.2.3.4
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Seismic SDC>=C and E>0.2U , Option D is selected to satisfy additional seismic requirements as per 17.2.3.4.3
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Shear
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Applicable
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OK
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17.2.3.5
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Seismic SDC>=C and E>0.2U , Option C is selected to satisfy additional seismic requirements as per 17.2.3.5.3
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Assumptions
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ACI 318M-14
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1. Concrete is cracked
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17.4.2.6, 17.4.3.6, 17.5.2.7
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2. Condition A - supplementary reinforcement provided
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17.3.3 (c)
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| 3. Load combinations shall be per ACI 318M-14 5.3.1
|
17.3.3
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| 4. Shear load acts through center of bolt group Yec,V =1.0 |
17.5.2.5 |
| 5. For anchor group subject to moment, the anchor tensile load is designed using elastic analysis |
17.2.1 |
| and there is no redistribution of the forces between highly stressed and less stressed anchors |
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| 6. For anchor tensile force calc in anchor group subject to moment, assume the compression |
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| resultant is at the outside edge of the compression flange and base plate exhibits rigid-body
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| rotation. This simplified approach yields conservative output |
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CACULATION
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Anchor Tensile Force |
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| Single bolt tensile force |
T1 |
= |
|
[kN] |
No of bolt for T1 nT1 |
= |
2.0
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| Sum of bolt tensile force |
Nu |
= |
S ni Ti |
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|
= |
25.0
|
[kN] |
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| |
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| Tensile bolts outer distance stb |
stb |
= |
|
[mm] |
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| Eccentricity e'N -- distance between resultant of tensile load and centroid of anchors |
|
| loaded in tension |
e'N |
= |
|
[mm] |
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| Eccentricity modification factor |
Ψec,N |
= |
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|
= |
1.00
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| |
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Anchor Rod Tensile Resistance
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ACI 318M-14
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|
f t,s Nsa
|
=
|
f t,s Ase futa
|
=
|
95.9
|
[kN]
|
17.4.1.2 Eq 17.4.1.2
|
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ratio
|
=
|
0.13
|
>
|
T1
|
OK
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Concrete Tensile Breakout Resistance |
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ACI 318M-14
|
| |
Nb |
= |
10 l
√fc hef1.5 if hef <280 or hef>635
|
= |
94.2
|
[kN]
|
17.4.2.2 Eq 17.4.2.2a |
| |
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|
3.9 l √fc hef(5/3) if 280≤ hef ≤635 |
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|
17.4.2.2 Eq 17.4.2.2b |
| Projected conc failure area |
1.5 hef |
= |
|
= |
203
|
[mm] |
|
| |
ANC |
= |
[stb+min(c1,1.5hef)+min(c3,1.5hef)]x |
= |
2.2E+05
|
[mm2] |
|
| |
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|
[s2+min(c2,1.5hef)+min(c4,1.5hef)] |
|
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| |
ANCO |
= |
9 hef2 |
= |
1.6E+05
|
[mm2] |
17.4.2.1 Eq 17.4.2.1c |
| |
ANC |
= |
min ( ANC, nt ANCO ) |
= |
2.2E+05
|
[mm2] |
17.4.2.1 |
| Min edge distance |
cmin |
= |
min( c1, c2, c3, c4 ) |
= |
125
|
[mm] |
|
| Eccentricity effects |
Ψec,N |
= |
|
= |
1.00
|
|
17.4.2.4 |
| Edge effects |
Ψed,N |
= |
min[ (0.7+0.3cmin/1.5hef), 1.0 ] |
= |
0.88
|
|
17.4.2.5 |
| Concrete cracking |
Ψc,N |
= |
1 for cracked concrete
|
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|
17.4.2.6 |
| Concrete splitting |
Ψcp,N |
= |
1.00 for cast-in anchor |
|
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|
17.4.2.7 |
| |
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| Concrete breakout resistance |
ftcNcbg |
= |
|
ftc |
ANC |
Ψec,N Ψed,N Ψc,N Ψcp,N Nb |
| ANCO |
|
= |
81.6
|
[kN]
|
17.4.2.1 Eq 17.4.2.1b
|
| |
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|
| Seismic design strength reduction |
|
= |
x 0.75 applicable
|
= |
61.2
|
[kN]
|
17.2.3.4.4 |
|
|
ratio
|
=
|
0.41
|
>
|
Nu
|
OK
|
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|
Anchor Pullout Resistance
|
|
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|
ACI 318M-14
|
| Single bolt pullout resistance
|
N p
|
=
|
8 Abrg fc'
|
=
|
145.0
|
[kN]
|
17.4.3.4 Eq 17.4.3.4
|
|
|
ft,c Npn
|
=
|
f t,c Ψc,p Np
|
=
|
101.5
|
[kN]
|
17.4.3.1 Eq 17.4.3.1
|
|
|
Ψc,p
|
=
|
1.00 for cracked concrete
|
|
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|
17.4.3.6
|
|
|
f t,c
|
=
|
0.70
|
pullout strength is always Condition B
|
17.3.3(c)
|
| Seismic design strength reduction
|
|
=
|
x 0.75 applicable
|
=
|
76.1
|
[kN]
|
17.2.3.4.4
|
|
|
ratio
|
=
|
0.16
|
>
|
T1
|
OK
|
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|
Side Blowout Resistance
|
|
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| Failure Along Pedestal Width Edge
|
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|
ACI 318M-14
|
| Tensile load carried by anchors close to edge which may cause side-face blowout
|
|
|
|
|
| along pedestal width edge
|
Nbuw
|
= |
nT1 T1 |
=
|
25.0
|
[kN]
|
R17.4.4.2
|
|
|
c
|
=
|
min ( c1 , c3 )
|
=
|
125
|
[mm]
|
|
|
|
s
|
=
|
s2
|
=
|
406
|
[mm]
|
|
| Check if side blowout applicable
|
hef
|
=
|
305
|
[mm]
|
|
|
|
|
|
|
|
|
<
|
2.5c
|
side bowout is NOT applicable
| 17.4.4.1
|
|
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|
|
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|
| Group side blowout resistance
|
ftc Nsbg
|
=
|
|
=
|
0.0
|
[kN]
|
|
|
|
|
|
|
|
|
|
|
|
Govern Tensile Resistance
|
Nr
|
=
|
min(f nt Nsa , fNcbg , fnt Npn , fNsbg) |
=
|
61.2
|
[kN]
|
|
|
|
|
|
|
|
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|
|
Anchor Rod Shear Resistance
|
|
|
|
|
|
|
ACI 318M-14
|
|
|
f v,sVsa
|
=
|
f v,s ns Ase futa
|
=
|
332.3
|
[kN]
|
17.5.1.2 Eq 17.5.1.2a |
| Reduction due to built-up grout pad
|
|
=
|
x 1.0 , not applicable
|
=
|
332.3
|
[kN]
|
17.5.1.3
|
|
|
ratio
|
=
|
0.07
|
>
|
Vu
|
OK
|
|
|
|
|
|
|
|
|
|
|
|
Conc. Shear Breakout Resistance - Perpendicular To Edge |
|
|
|
|
| Only Case 2 needs to be considered when anchors are rigidly connected to the attachment |
Fig. R17.5.2.1b notes |
| This applies to welded stud case so only Mode 2 is considered for shear checking |
in Case 2 |
| |
|
|
|
|
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|
|
| Mode 2 Failure cone at back anchors |
|
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| |
|
|
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|
|
|
|
|
|
| |
|
|
|
|
|
|
|
| Bolt edge distance |
ca1 |
= |
c1 + s1 |
= |
531
|
[mm] |
ACI 318M-14
|
| Limiting ca1 when anchors are influenced by 3 or more edges |
= |
Yes
|
|
17.5.2.4 |
| Bolt edge distance - adjusted |
ca1 |
= |
ca1 needs to be adjusted
|
= |
253
|
[mm] |
17.5.2.4 |
| |
c2 |
= |
|
= |
125
|
[mm] |
|
| |
1.5ca1 |
= |
|
= |
380
|
[mm] |
ACI 318M-14
|
| |
Avc |
= |
[min(c2,1.5ca1)+ s2 + min(c4,1.5ca1)]x |
= |
2.5E+05
|
[mm2] |
17.5.2.1 |
| |
|
|
min(1.5ca1, ha) |
|
|
|
ACI 318M-14
|
| |
Avco |
= |
4.5ca12 |
= |
2.9E+05
|
[mm2] |
17.5.2.1 Eq 17.5.2.1c |
| |
Avc |
= |
min ( Avc, n2 Avco ) |
= |
2.5E+05
|
[mm2] |
17.5.2.1 |
| |
le |
= |
min( 8da , hef ) |
= |
152
|
[mm] |
17.5.2.2 |
| |
Vb1 |
= |
|
= |
105.3
|
[kN] |
17.5.2.3 Eq 17.5.2.3 |
| |
Vb2 |
= |
|
= |
89.3
|
[kN] |
17.5.2.2 Eq 17.5.2.2b |
| |
Vb |
= |
min( Vb1 , Vb2 ) |
= |
89.3
|
[kN] |
17.5.2.2 |
| Eccentricity effects |
Ψec,v |
= |
1.0 shear acts through center of group |
|
|
|
17.5.2.5 |
| Edge effects |
Ψed,v |
= |
min[ (0.7+0.3c2/1.5ca1), 1.0 ] |
= |
0.80
|
|
17.5.2.6 |
| Concrete cracking |
Ψc,v |
= |
concrete is cracked
|
= |
1.20
|
|
17.5.2.7 |
| Member thickness |
Ψh,v |
= |
max[ (sqrt(1.5ca1 / ha) , 1.0 ] |
= |
1.00
|
|
17.5.2.8 |
| |
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|
ACI 318M-14
|
| Conc shear breakout resistance |
Vcbg |
= |
|
fv,c |
Avc |
Ψec,v Ψed,v Ψc,v Ψh,v Vb |
| Avco |
|
= |
55.4
|
[kN] |
17.5.2.1 Eq 17.5.2.1b |
| |
ratio |
= |
0.40
|
>
|
Vu |
OK
|
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| |
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|
| Conc. Shear Breakout Resistance - Parallel To Edge |
|
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| |
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| |
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ACI 318M-14
|
| Only Case 2 needs to be considered when anchors are rigidly connected to the attachment |
Fig. R17.5.2.1b notes |
| This applies to welded stud case so only Mode 2 is considered for shear checking |
in Case 2 |
| |
|
| Mode 2 Shear taken evenly by back welded studs, strength check against 0.5 x Vu |
|
| |
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|
| Bolt edge distance |
ca1 |
= |
min(c2 , c4) |
= |
125
|
[mm] |
ACI 318M-14
|
| Limiting ca1 when anchors are influenced by 3 or more edges |
= |
No
|
|
17.5.2.4 |
| Bolt edge distance - adjusted |
ca1 |
= |
ca1 needs NOT to be adjusted
|
= |
125
|
[mm] |
17.5.2.4 |
| |
1.5ca1 |
= |
|
= |
188
|
[mm] |
ACI 318M-14
|
| |
Avc |
= |
[min(s1+c1,1.5ca1) +min(c3,1.5ca1)]x |
= |
5.9E+04
|
[mm2] |
17.5.2.1 |
| |
|
|
min(1.5ca1, ha) |
|
|
|
ACI 318M-14
|
| |
Avco |
= |
4.5ca12 |
= |
7.0E+04
|
[mm2] |
17.5.2.1 Eq 17.5.2.1c |
| |
Avc |
= |
min ( Avc, nbd Avco ) |
= |
5.9E+04
|
[mm2] |
17.5.2.1 |
| |
le |
= |
min( 8da , hef ) |
= |
152
|
[mm] |
17.5.2.2 |
| |
Vb1 |
= |
|
= |
36.5
|
[kN] |
17.5.2.3 Eq 17.5.2.3 |
| |
Vb2 |
= |
|
= |
30.9
|
[kN] |
17.5.2.2 Eq 17.5.2.2b |
| |
Vb |
= |
min( Vb1 , Vb2 ) |
= |
30.9
|
[kN] |
17.5.2.2 |
| Eccentricity effects |
Ψec,v |
= |
1.0 shear acts through center of group |
|
|
|
17.5.2.5 |
| Edge effects |
Ψed,v |
= |
|
= |
1.00 |
|
17.5.2.1 (c) |
| Concrete cracking |
Ψc,v |
= |
concrete is cracked
|
= |
1.20
|
|
17.5.2.7 |
| Member thickness |
Ψh,v |
= |
max[ (sqrt(1.5ca1 / ha) , 1.0 ] |
= |
1.00
|
|
17.5.2.8 |
| |
|
|
|
|
|
|
ACI 318M-14
|
| Conc shear breakout resistance |
Vcbg-p |
= |
| 2xfv,c |
Avc |
Ψec,v Ψed,v Ψc,v Ψh,v Vb |
| Avco |
|
= |
92.8
|
[kN] |
17.5.2.1 Eq 17.5.2.1b |
| |
|
|
x 2 side |
|
|
|
17.5.2.1 (c) |
| |
ratio |
= |
0.24
|
>
|
Vu |
OK
|
|
| |
|
|
|
|
|
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|
|
Conc. Pryout Shear Resistance
|
|
|
|
|
|
|
ACI 318M-14
|
| |
kcp |
= |
2.0
|
|
|
|
17.5.3.1 |
| Factored shear pryout resistance |
fv,cVcpg |
= |
fv,c kcp Ncbg |
= |
152.3
|
[kN] |
17.5.3.1 Eq 17.5.3.1b |
|
|
f v,c
|
= |
0.7 pryout strength is always Condition B |
|
17.3.3 (c) |
| |
|
|
|
|
|
|
|
| Seismic design strength reduction
|
|
=
|
x 0.75 applicable
|
=
|
114.2
|
[kN]
|
17.2.3.4.4
|
|
|
ratio
|
=
|
0.19
|
>
|
Vu |
OK
|
|
|
|
|
|
|
|
|
|
|
|
Govern Shear Resistance
|
Vr
|
=
|
min ( fVsa , fVcbg , fVcbg-p , fVcpg ) |
=
|
55.4
|
[kN]
|
|
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|
|
Tension Shear Interaction
|
|
|
|
|
|
|
ACI 318M-14
|
| Check if Nu >0.2f Nn and Vu
>0.2f Vn
|
=
|
Yes
|
|
|
|
17.6.1 & 17.6.2
|
|
|
|
|
Nu / f Nn + Vu / f Vn
|
=
|
0.81
|
|
17.6.3 Eq 17.6.3
|
|
|
ratio
|
=
|
0.67
|
<
|
1.2
|
OK
|
|
|
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|
|
|
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|
Seismic Design
|
|
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|
|
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|
|
Tension
|
|
|
Applicable
|
|
|
OK
|
|
| Option D is selected.
|
ACI 318M-14
|
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
|
17.2.3.4.3(d)
|
|
|
|
|
|
|
|
|
|
|
|
|
Seismic SDC>=C and E>0.2U , Option D is selected to satisfy additional seismic requirements as per 17.2.3.4.3
|
|
|
|
|
|
|
|
|
|
|
|
|
Shear
|
|
|
Applicable
|
|
|
OK
|
|
| Option C is selected.
|
|
|
|
|
|
|
ACI 318M-14
|
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
|
17.2.3.5.3(c)
|
|
|
|
|
|
|
|
|
|
|
Seismic SDC>=C and E>0.2U , Option C is selected to satisfy additional seismic requirements as per 17.2.3.5.3
|
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|