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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
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=
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0.82
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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-11 Building Code Requirements for Structural Concrete and Commentary Appendix
D
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ACI 318M-11
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PIP STE05121 Anchor Bolt Design Guide-2006
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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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=
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[kN]
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Factored shear force
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Vu
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=
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[kN]
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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-11
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Anchor is ductile steel element
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D.1
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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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= |
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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]
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114
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OK
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Page A -1 Table 1
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Welded stud edge distance c2
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c2
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=
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[mm]
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114
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OK
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Welded stud edge distance c3
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c3
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=
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[mm]
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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]
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114
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OK
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Welded stud embedment depth
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hef
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=
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[mm]
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ACI 318M-11
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ci ≥ 1.5hef for at least two edges to avoid reducing of hef when Nu > 0 |
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OK
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D.5.2.3 |
Welded stud adjusted hef for design |
hef |
= |
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[mm]
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229
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OK
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D.5.2.3 |
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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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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=
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[mm]
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76
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OK
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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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For conc side-face blowout check use
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No of welded stud along width edge
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nbw
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=
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No of welded stud along depth edge
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nbd
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=
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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-11
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For tension |
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= |
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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
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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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= |
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D.5.2.6, D5.3.6, D.6.2.7 |
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ACI 318M-11
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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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=
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D.3.3.4.1 & D.3.3.5.1
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Welded stud satisfies opion
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Tensile
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=
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Shear
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=
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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
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Anchor reinforcement
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fs
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=
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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
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=
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0.65
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D.4.3 (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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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
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Overall
|
ratio
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=
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0.82
|
OK
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Tension
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Anchor Rod Tensile Resistance
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ratio
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=
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0.17
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OK
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Concrete Tensile Breakout Resistance |
ratio
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=
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0.35
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OK
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Anchor Pullout Resistance
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ratio
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=
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0.22
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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
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ratio
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=
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0.20
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OK
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Concrete Shear Breakout Resistance - Perpendicular To Edge |
ratio
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=
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0.63
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OK
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Concrete Shear Breakout Resistance - Parallel To Edge |
ratio
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=
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0.15
|
OK
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Concrete Pryout Shear Resistance |
ratio
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= |
0.19
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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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0.82
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OK
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Seismic Design
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ACI 318M-11
|
Tension
|
Applicable
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OK
|
D.3.3.4
|
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
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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
|
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
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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
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=
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f t,s nt Ase futa
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=
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383.4
|
[kN]
|
D.5.1.2 (D-2)
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ratio
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=
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0.17
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>
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Nu
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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 |
= |
[s1+min(c1,1.5hef)+min(c3,1.5hef)]x |
= |
9.3E+05
|
[mm2] |
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[s2+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, nt ANCO ) |
= |
9.3E+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 |
|
= |
254.0
|
[kN]
|
D.5.2.1 (D-4) |
|
|
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|
Seismic design strength reduction |
|
= |
x 0.75 applicable
|
= |
190.5
|
[kN]
|
D.3.3.4.4 |
|
ratio
|
=
|
0.35
|
>
|
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 nt Ψc,p Np
|
=
|
406.1
|
[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
|
=
|
304.6
|
[kN]
|
D.3.3.4.4
|
|
ratio
|
=
|
0.22
|
>
|
Nu
|
OK
|
|
|
|
|
|
|
|
|
|
Side Blowout Resistance
|
|
|
|
|
|
|
|
Failure Along Pedestal Width Edge
|
|
|
|
|
|
|
ACI 318M-11
|
Tensile load carried by anchors close to edge which may cause side-face blowout
|
|
|
|
|
along pedestal width edge
|
Nbuw
|
=
|
Nu x nbw / nt
|
=
|
33.4
|
[kN]
|
RD.5.4.2
|
|
c
|
=
|
min ( c1 , c3 )
|
=
|
380
|
[mm]
|
|
|
s
|
=
|
s2
|
=
|
125
|
[mm]
|
|
Check if side blowout applicable
|
hef
|
=
|
305
|
[mm]
|
|
|
|
|
|
|
|
<
|
2.5c
|
side bowout is NOT applicable
| D.5.4.1
|
|
|
|
|
|
|
|
|
Failure Along Pedestal Depth Edge
|
|
|
|
|
|
|
ACI 318M-11
|
Tensile load carried by anchors close to edge which may cause side-face blowout
|
|
|
|
|
along pedestal depth edge
|
Nbud
|
=
|
Nu x nbd / nt
|
=
|
33.4
|
[kN]
|
RD.5.4.2
|
|
c
|
=
|
min ( c2, c4 )
|
=
|
380
|
[mm]
|
|
|
s
|
=
|
s1
|
=
|
125
|
[mm]
|
|
Check if side blowout applicable
|
hef
|
=
|
305
|
[mm]
|
|
|
|
|
|
|
|
<
|
2.5c
|
side bowout is NOT applicable
| D.5.4.1
|
|
|
|
|
|
|
|
|
Group side blowout resistance
|
ftc Nsbg
|
=
|
|
=
|
0.0
|
[kN]
|
|
|
|
|
|
|
|
|
|
Govern Tensile Resistance
|
Nr
|
=
|
min ( f Nsa, f
Ncbg, f Npn, f
Nsbg )
|
=
|
190.5
|
[kN]
|
|
|
|
|
|
|
|
|
|
Anchor Rod Shear Resistance
|
|
|
|
|
|
|
ACI 318M-11
|
|
f v,sVsa
|
=
|
f v,s ns Ase futa
|
=
|
332.3
|
[kN]
|
D.6.1.2 (a) (D-28) |
Reduction due to built-up grout pad
|
|
=
|
x 1.0 , not applicable
|
=
|
332.3
|
[kN]
|
D.6.1.3
|
|
ratio
|
=
|
0.20
|
>
|
Vu
|
OK
|
|
|
|
|
|
|
|
|
|
Conc. Shear Breakout Resistance - Perpendicular To Edge |
|
|
|
ACI 318M-11
|
Only Case 2 needs to be considered when anchors are rigidly connected to the attachment |
Fig. RD.6.2.1(b) notes |
This applies to welded stud case so only Mode 2 is considered for shear checking |
in Case 2 |
|
|
|
|
|
|
|
|
Mode 2 Failure cone at back anchors |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bolt edge distance |
ca1 |
= |
c1 + s1 |
= |
505
|
[mm] |
ACI 318M-11
|
Limiting ca1 when anchors are influenced by 3 or more edges |
= |
Yes
|
|
D.6.2.4 |
Bolt edge distance - adjusted |
ca1 |
= |
ca1 needs to be adjusted
|
= |
423
|
[mm] |
D.6.2.4 |
|
c2 |
= |
|
= |
380
|
[mm] |
|
|
1.5ca1 |
= |
|
= |
635
|
[mm] |
ACI 318M-11
|
|
Avc |
= |
[min(c2,1.5ca1)+ s2 + min(c4,1.5ca1)]x |
= |
4.3E+05
|
[mm2] |
D.6.2.1 |
|
|
|
min(1.5ca1, ha) |
|
|
|
ACI 318M-11
|
|
Avco |
= |
4.5ca12 |
= |
8.1E+05
|
[mm2] |
D.6.2.1 (D-32) |
|
Avc |
= |
min ( Avc, n2 Avco ) |
= |
4.3E+05
|
[mm2] |
D.6.2.1 |
|
le |
= |
min( 8da , hef ) |
= |
152
|
[mm] |
D.6.2.2 |
|
Vb1 |
= |
|
= |
227.5
|
[kN] |
D.6.2.3 (D-35) |
|
Vb2 |
= |
|
= |
192.8
|
[kN] |
D.6.2.2 (D-34) |
|
Vb |
= |
min( Vb1 , Vb2 ) |
= |
192.8
|
[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+0.3c2/1.5ca1), 1.0 ] |
= |
0.88
|
|
D.6.2.6 |
Concrete cracking |
Ψc,v |
= |
concrete is cracked
|
= |
1.20
|
|
D.6.2.7 |
Member thickness |
Ψh,v |
= |
max[ (sqrt(1.5ca1 / ha) , 1.0 ] |
= |
1.29
|
|
D.6.2.8 |
|
|
|
|
|
|
|
ACI 318M-11
|
Conc shear breakout resistance |
Vcbg |
= |
fv,c |
Avc |
Ψec,v Ψed,v Ψc,v Ψh,v Vb |
Avco |
|
= |
106.0
|
[kN] |
D.6.2.1 (D-31) |
|
ratio |
= |
0.63
|
>
|
Vu |
OK
|
|
|
|
|
|
|
|
|
|
Conc. Shear Breakout Resistance - Parallel To Edge |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ACI 318M-11
|
Only Case 2 needs to be considered when anchors are rigidly connected to the attachment |
Fig. RD.6.2.1(b) 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 |
|
|
|
|
|
|
|
|
|
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(s1+c1,1.5ca1) +min(c3,1.5ca1)]x |
= |
4.1E+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 ) |
= |
4.1E+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 |
Vcbg-p |
= |
2xfv,c |
Avc |
Ψec,v Ψed,v Ψc,v Ψh,v Vb |
Avco |
|
= |
454.5
|
[kN] |
D.6.2.1 (D-31) |
|
|
|
x 2 side |
|
|
|
D.6.2.1 (c) |
|
ratio |
= |
0.15
|
>
|
Vu |
OK
|
|
|
|
|
|
|
|
|
|
Conc. Pryout Shear Resistance
|
|
|
|
|
|
|
ACI 318M-11
|
|
kcp |
= |
2.0
|
|
|
|
D.6.3.1 |
Factored shear pryout resistance |
fv,cVcpg |
= |
fv,c kcp Ncbg |
= |
474.2
|
[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
|
=
|
355.6
|
[kN]
|
D.3.3.4.4
|
|
ratio
|
=
|
0.19
|
>
|
Vu |
OK
|
|
|
|
|
|
|
|
|
|
Govern Shear Resistance
|
Vr
|
=
|
min ( fVsa , fVcbg , fVcbg-p , fVcpg ) |
=
|
106.0
|
[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
|
=
|
0.98
|
|
D.7.3 (D-42)
|
|
ratio
|
=
|
0.82
|
<
|
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
|
|
|
|
|
|
|
|
|
|
|
|
|
|