|
|
|
|
|
|
|
|
|
|
|
ANCHOR BOLT DESIGN |
Combined Tension and Shear
|
|
|
Result Summary
|
|
|
|
|
|
|
|
|
|
Anchor Rod Embedment, Spacing and Edge Distance
|
|
|
|
OK
|
|
Min Rquired Anchor Reinft. Development Length
|
ratio
|
=
|
0.86
|
OK
|
|
Overall
|
|
|
|
|
ratio
|
=
|
0.76
|
OK
|
|
Seismic Design
|
|
|
|
|
Tension
|
=
|
|
OK
|
|
|
|
|
|
|
Shear
|
=
|
|
OK
|
|
|
Design Code Reference
|
|
|
|
|
|
|
|
|
|
Anchor bolt design based on
|
|
|
|
|
|
|
|
|
Code Abbreviation
|
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
|
AISC Design Guide 1: Base Plate and Anchor Rod Design 2nd Ed
|
AISC Design Guide 1
|
|
|
|
|
|
|
|
|
|
Code Reference
|
Anchor Bolt Data
|
|
|
|
|
|
|
|
|
|
|
Factored tensile force
|
Nu
|
=
|
|
[kN]
|
|
|
|
Factored shear force
|
Vu
|
=
|
|
[kN]
|
|
|
|
Concrete strength
|
f'c
|
=
|
|
[MPa]
|
Error: the conc strength shall be 10~70 MPa
|
|
|
Anchor bolt material
|
|
=
|
|
|
|
|
|
|
Anchor tensile strength
|
futa
|
=
|
400
|
[MPa]
|
|
|
|
|
ACI 318M-11
|
|
|
|
Anchor is ductile steel element
|
|
|
|
D.1
|
Anchor bolt diameter
|
da
|
=
|
|
[in]
|
|
=
|
25.4
|
[mm] |
|
Anchor bolt has sleeve
|
|
=
|
|
|
|
|
|
|
PIP STE05121
|
|
|
|
|
|
|
|
|
|
|
Anchor bolt embedment depth
|
hef
|
=
|
|
[mm]
|
305
|
|
OK
|
|
Page A -1 Table 1
|
Pedestal height
|
ha
|
=
|
|
[mm]
|
431
|
|
OK
|
|
|
Pedestal width
|
bc
|
=
|
|
[mm]
|
|
|
|
|
|
Pedestal depth
|
dc
|
=
|
|
[mm]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
PIP STE05121
|
Anchor bolt edge distance c1
|
c1
|
=
|
|
[mm]
|
114
|
|
OK
|
|
Page A -1 Table 1
|
Anchor bolt edge distance c2
|
c2
|
=
|
|
[mm]
|
114
|
|
OK
|
|
|
Anchor bolt edge distance c3
|
c3
|
=
|
|
[mm]
|
114
|
|
OK
|
|
|
Anchor bolt edge distance c4
|
c4
|
=
|
|
[mm]
|
114
|
|
OK
|
|
|
|
|
|
|
|
|
|
|
|
|
Outermost bolt line spacing s1
|
s1
|
=
|
|
[mm]
|
102
|
|
OK
|
|
Page A -1 Table 1
|
Outermost bolt line spacing s2
|
s2
|
=
|
|
[mm]
|
102
|
|
OK
|
|
|
|
|
|
|
|
|
|
|
|
ACI 318M-11
|
To be considered effective for resisting anchor tension, vertical reinforcing bars
shall be located
|
RD.5.2.9
|
within 0.5hef from the outmost anchor's centerline
|
|
Avg ver. bar center to anchor rod center distance
|
dar
|
=
|
|
[mm]
|
|
Rebar specification |
|
=
|
|
|
|
|
|
No of ver. rebar that are effective for resisting anchor tension
|
nv
|
=
|
|
|
|
Ver. rebar size No.
|
|
=
|
25.4
|
[mm] |
single rebar area As
|
=
|
509.0
|
[mm2]
|
|
Ver. rebar top anchorage option
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ACI 318M-11
|
To be considered effective for resisting anchor shear, hor. reinft shall be located
|
RD.6.2.9
|
within min( 0.5c1, 0.3c2 ) from the outmost anchor's centerline
|
min (0.5c1, 0.3c2)
|
=
|
38
|
[mm]
|
|
|
|
|
|
|
|
No of tie leg that are effective to resist anchor shear
|
nleg
|
=
|
|
|
|
No of tie layer that are effective to resist anchor shear
|
nlay
|
=
|
|
|
|
Hor. tie rebar size No.
|
|
=
|
12.7
|
[mm] |
single rebar area As
|
=
|
129.0
|
[mm2]
|
|
For anchor reinft shear breakout strength calc
|
|
|
|
|
|
|
|
|
|
|
|
|
Rebar yield strength - ver. rebar
|
fy-v
|
=
|
|
[MPa]
|
|
|
|
|
Rebar yield strength - hor. rebar
|
fy-h
|
=
|
|
[MPa]
|
|
|
|
|
No of anchor bolt carrying tension
|
nt
|
=
|
|
|
|
|
|
|
No of anchor bolt carrying shear
|
ns
|
=
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
For side-face blowout check use
|
|
|
|
|
|
|
|
|
No of anchor bolt along width edge
|
nbw
|
=
|
|
|
|
|
|
|
No of anchor bolt along depth edge
|
nbd
|
=
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Anchor bolt head type
|
|
|
|
|
|
Anchor effective cross section area
|
Ase
|
=
|
391
|
[mm2]
|
|
|
|
|
Anchor bolt head bearing area
|
Abrg
|
=
|
|
[mm2]
|
|
|
|
|
|
|
Anchor bolt 1/8" (3mm) corrosion allowance
|
=
|
|
|
|
|
|
|
ACI 318M-11
|
Provide built-up grout pad ?
|
|
=
|
|
|
|
|
|
|
D.6.1.3
|
|
|
|
|
|
|
|
|
|
|
Seismic design category SDC >= C
|
|
=
|
|
|
|
|
|
|
D.3.3.1
|
Anchor bolt load E <= 0.2U
|
Tensile
|
=
|
|
|
Shear
|
=
|
|
|
D.3.3.4.1 & D.3.3.5.1
|
Anchor bolt satisfies opion
|
Tensile
|
=
|
|
Shear
|
=
|
|
D.3.3.4.3 & D.3.3.5.3
|
|
|
|
|
|
|
|
|
|
|
Strength reduction factors
|
|
|
|
|
|
|
|
|
ACI 318M-11
|
Anchor reinforcement
|
fs
|
=
|
0.75
|
|
|
|
|
|
D.5.2.9 & D.6.2.9
|
Anchor rod - ductile steel
|
ft,s
|
=
|
0.75
|
|
fv,s
|
=
|
0.65
|
|
D.4.3 (a)
|
Concrete - condition A
|
ft,c
|
=
|
0.75
|
|
fv,c
|
=
|
0.75
|
|
D.4.3 (c)
|
|
CONCLUSION
|
|
|
|
|
|
|
|
|
|
Anchor Rod Embedment, Spacing and Edge Distance
|
|
|
|
OK
|
ACI 318M-11
|
Min Rquired Anchor Reinft. Development Length
|
ratio
|
=
|
0.86
|
OK
|
12.5.1
|
Overall
|
ratio
|
=
|
0.76
|
OK
|
|
Tension
|
|
|
|
|
|
Anchor Rod Tensile Resistance
|
ratio
|
=
|
0.19
|
OK
|
|
Anchor Reinft Tensile Breakout Resistance
|
ratio
|
=
|
0.18
|
OK
|
|
Anchor Pullout Resistance
|
ratio
|
=
|
0.15
|
OK
|
|
Side Blowout Resistance
|
ratio
|
=
|
0.22
|
OK
|
|
Shear
|
|
|
|
|
|
Anchor Rod Shear Resistance
|
ratio
|
=
|
0.57
|
OK
|
|
Anchor Reinft Shear Breakout Resistance
|
|
|
|
|
|
Strut Bearing Strength
|
ratio
|
=
|
0.46
|
OK
|
|
Tie Reinforcement
|
ratio
|
=
|
0.69
|
OK
|
|
Conc. Pryout Not Govern When hef >= 12da
|
|
|
|
OK
|
|
Tension Shear Interaction
|
|
|
|
|
|
Tension Shear Interaction
|
ratio
|
=
|
0.76
|
OK
|
|
|
|
|
|
|
|
Seismic Design
|
|
|
|
|
ACI 318M-11
|
Tension
|
Applicable
|
|
|
|
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
|
|
|
|
|
|
|
|
|
|
|
|
|
Shear
|
Applicable
|
|
|
|
OK
|
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
|
|
|
|
Assumptions
|
ACI 318M-11
|
1. Concrete is cracked
|
D.5.2.6, D5.3.6, D.6.2.7
|
2. Condition A - supplementary reinforcement is provided
|
D.4.3 (c)
|
3. Load combinations shall be per ACI 318M-11 9.2
|
D.4.3
|
4. Anchor reinft strength is used to replace concrete tension / shear breakout strength
as per
|
D.5.2.9 & D.6.2.9
|
ACI 318M-11 Appendix D clause D.5.2.9 and D.6.2.9
|
|
5. For tie reinft, only the top most 2 or 3 layers of ties (50mm from TOC and
2x75mm after)
are effective
|
|
6. Strut-and-Tie model is used to anlyze the shear transfer and to design the required
tie reinft
|
|
7. Anchor reinft used in structures with SDC>=C shall meet requirements specified
in D.3.3.7
|
D.3.3.7
|
8. Anchor bolt washer shall be tack welded to base plate for all anchor bolts to transfer shear
|
AISC Design Guide 1
|
|
Section 3.5.3
|
|
CACULATION
|
|
|
|
|
|
|
|
|
|
Anchor Rod Tensile Resistance
|
|
|
|
|
|
|
|
|
ACI 318M-11
|
|
f t,s Nsa
|
=
|
f t,s nt Ase futa
|
=
|
469.1
|
[kN]
|
D.5.1.2 (D-2)
|
|
ratio
|
=
|
0.19
|
>
|
Nu
|
OK
|
|
|
|
|
|
|
|
|
|
Anchor Reinft Tensile Breakout Resistance
|
|
|
|
ACI 318M-11
|
Min required full yield tension ldh
|
ldh
|
=
|
180 degree hook case
|
=
|
|
[mm]
|
12.5.2, 12.5.3(a)
|
Actual development lenngth
|
la
|
=
|
hef - c (50mm) - dar x tan35
|
=
|
|
[mm]
|
|
|
|
|
|
>
|
203
|
OK
|
12.5.1
|
|
|
|
|
|
|
|
|
ACI 318M-11
|
Anchor reinft breakout resistance
|
fs Nn
|
=
|
fs x fy-v x nv x As
x (la / ld , if la < ld)
|
=
|
503.1
|
[kN]
|
D.3.3.4.5, D.5.2.9, 12.2.5
|
|
ratio
|
=
|
0.18
|
>
|
Nu
|
OK
|
|
|
|
|
|
|
|
|
|
Anchor Pullout Resistance
|
|
|
|
|
|
|
ACI 318M-11
|
Single bolt pullout resistance
|
N p
|
=
|
8 Abrg fc'
|
=
|
277.3
|
[kN]
|
D.5.3.4 (D-14)
|
|
ft,c Npn
|
=
|
f t,c nt Ψc,p Np
|
=
|
776.6
|
[kN]
|
D.5.3.1 (D-13)
|
|
Ψc,p
|
=
|
1 for cracked conc
|
|
|
|
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
|
=
|
582.4
|
[kN]
|
D.3.3.4.4
|
|
ratio
|
=
|
0.15
|
>
|
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
|
=
|
44.5
|
[kN]
|
RD.5.4.2
|
|
c
|
=
|
min ( c1 , c3 )
|
=
|
125
|
[mm]
|
|
|
s
|
=
|
s2
|
=
|
150
|
[mm]
|
|
Check if side blowout applicable
|
hef
|
=
|
355
|
[mm]
|
|
|
|
|
|
|
|
>
|
2.5c
|
side bowout is 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
|
=
|
44.5
|
[kN]
|
RD.5.4.2
|
|
c
|
=
|
min ( c2, c4 )
|
=
|
125
|
[mm]
|
|
|
s
|
=
|
s1
|
=
|
150
|
[mm]
|
|
Check if side blowout applicable
|
hef
|
=
|
355
|
[mm]
|
|
|
|
|
|
|
|
>
|
2.5c
|
side bowout is applicable
| D.5.4.1
|
|
|
|
|
|
|
|
|
Group side blowout resistance
|
ftc Nsbg
|
=
|
|
=
|
408.5
|
[kN]
|
|
|
|
|
|
|
|
|
|
Govern Tensile Resistance
|
Nr
|
=
|
min ( f Nsa, f
Nn, f Npn, f
Nsbg )
|
=
|
408.5
|
[kN]
|
|
|
|
|
|
|
|
|
|
Anchor Rod Shear Resistance
|
|
|
|
|
|
|
ACI 318M-11
|
|
f v,sVsa
|
=
|
f v,s ns 0.6 Ase futa
|
=
|
243.9
|
[kN]
|
D.6.1.2 (b) (D-29)
|
Reduction due to built-up grout pad
|
|
=
|
x 0.8 , applicable
|
=
|
195.1
|
[kN]
|
D.6.1.3
|
|
ratio
|
=
|
0.57
|
>
|
Vu
|
OK
|
|
|
|
|
|
|
|
|
|
Anchor Reinft Shear Breakout Resistance
|
|
|
|
ACI 318M-11
|
Strut-and-Tie model is used to anlyze the shear transfer and to design the required
tie reinft
|
|
STM strength reduction factor
|
fst
|
=
|
0.75
|
|
|
|
9.3.2.6
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Strut-and-Tie model geometry
|
dv
|
=
|
55
|
[mm]
|
dh
|
=
|
55
|
[mm]
|
|
|
θ
|
=
|
45
|
|
dt
|
=
|
78
|
[mm]
|
|
Strut compression force
|
Cs
|
=
|
0.5 Vu / sinθ
|
=
|
78.6
|
[kN]
|
|
|
|
|
|
|
|
|
|
Strut Bearing Strength
|
|
|
|
|
|
|
ACI 318M-11
|
Strut compressive strength
|
fce
|
=
|
0.85 f'c
|
=
|
30.4
|
[MPa]
|
A.3.2 (A-3)
|
|
|
|
|
|
|
|
|
* Bearing of anchor bolt
|
|
|
|
|
|
|
|
Anchor bearing length
|
le
|
=
|
min( 8da , hef )
|
=
|
203
|
[mm]
|
D.6.2.2
|
Anchor bearing area
|
Abrg
|
=
|
le x da
|
=
|
5161
|
[mm2]
|
|
Anchor bearing resistance
|
Cr
|
=
|
ns x fst x fce x Abrg
|
=
|
471.2
|
[kN]
|
|
|
|
|
|
>
|
Vu
|
OK
|
|
* Bearing of ver reinft bar
|
|
|
|
|
|
|
|
Ver bar bearing area
|
Abrg
|
=
|
(le +1.5 x dt - da/2 -db/2) x db
|
=
|
7480
|
[mm2]
|
|
Ver bar bearing resistance
|
Cr
|
=
|
fst x fce x Abrg
|
=
|
170.7
|
[kN]
|
|
|
ratio
|
=
|
0.46
|
>
|
Cs
|
OK
|
|
|
|
|
|
|
|
|
|
Tie Reinforcement
|
|
|
|
|
|
|
|
* For tie reinft, only the top most 2 or 3 layers of ties (50mm from TOC and
2x75mm after) are effective
|
* For enclosed tie, at hook location the tie cannot develop full yield strength
fy . Use the pullout resistance in
|
tension of a single hooked bolt as per ACI 318M-11 Eq. (D-15)
as the max force can be developed at hook Th
|
* Assume 100% of hor. tie bars can develop full yield strength
|
|
Total number of hor tie bar
|
n
|
=
|
nleg (leg) x nlay (layer)
|
=
|
4
|
|
|
|
|
|
|
|
|
|
ACI 318M-11
|
Pull out resistance at hook
|
Th
|
=
|
ft,c 0.9 fc' eh
da
|
=
|
17.5
|
[kN]
|
D.5.3.5 (D-15)
|
|
eh
|
=
|
4.5 db
|
=
|
57
|
[mm]
|
|
|
|
|
|
|
|
|
|
Single tie bar tension resistance
|
Tr
|
=
|
fs x fy-h x As
|
=
|
40.1
|
[kN]
|
|
|
|
|
|
|
|
|
|
Total tie bar tension resistance
|
fsVn
|
=
|
1.0 x n x Tr
|
=
|
160.2
|
[kN]
|
D.3.3.5.4 & D.6.2.9
|
|
ratio
|
=
|
0.69
|
>
|
Vu
|
OK
|
|
|
|
|
|
|
|
|
|
Conc. Pryout Shear Resistance
|
|
|
|
|
|
|
|
The pryout failure is only critical for short and stiff anchors. It is reasonable
to assume that for general
|
cast-in place headed anchors with hef > = 12da , the pryout
failure will not govern
|
|
|
|
|
|
|
|
|
|
12da
|
=
|
305
|
[mm]
|
hef
|
=
|
355
|
[mm]
|
|
|
|
|
|
>
|
12da
|
OK
|
|
|
|
|
|
|
|
|
|
Govern Shear Resistance
|
Vr
|
=
|
min ( fv,sVsa , fsVn )
|
=
|
160.2
|
[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
|
=
|
0.91
|
|
D.7.3 (D-42)
|
|
ratio
|
=
|
0.76
|
<
|
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
|
|
|
|
|
|
|
|
|
|
|
|
|
|