2.0 SHEAR
2.4 Stand-off Failure Mode
Variables A se , V
Variables ACI 318-19 Chapter 17 Provision Comments for PROFIS Engineering
A se , V
17.7.1.1 Nominal steel strength of anchors in shear as governed by the steel , V sa
, shall be evaluated based on the properties of the anchor material and the physical dimensions of the anchors . If concrete breakout is a potential failure mode , the required steel shear strength shall be consistent with the assumed breakout surface .
17.7.1.2 Nominal strength of an anchor in shear , V sa , shall not exceed ( a ) through ( c ):
( a ) For cast-in headed stud anchor
V sa
= A se , V ƒ uta
( 17.7.1.2a ) where A se , V is the effective cross-sectional area of an anchor in shear , in . 2 , and ƒ uta used for calculations shall not exceed either 1.9ƒ ya or 125,000 psi .
( b ) For cast-in headed bolt and hooked bolt anchors and for post-installed anchors where sleeves do not extend through the shear plane
V sa
= 0.6A se , V ƒuta ( 17.7.1.2b ) where A se , V is the effective cross-sectional area of an anchor in shear , in . 2 , and the value of ƒ uta shall not exceed either 1.9ƒ ya or 125,000 psi . ( c ) For post-installed anchors where sleeves extend through the shear plane , V sa shall be based on the 5 percent fractile of results of tests performed and evaluated in accordance with ACI 355.2 . Alternatively , Eq . ( 17.7.1.2b ) shall be permitted to be used .
PROFIS Engineering cast-in anchor portfolio values for A se , v and ƒuta
.
MATERIAL SPECIFICATION
AES D1.1
ASTM F 1554
ASTM F 1554
ASTM F 1554
GRADE OR TYPE
DIAMETER ( d 0
) ( in )
TENSILE STRENGTH ( ƒ uta
) ( ksi )
YIELD STRENGTH
( ƒ ya ) ( ksi )
GROSS AREA ( in 2 )
EFFECTIVE AREA ( A se
)
( in 2 )
B |
0.500 |
65 |
51 |
0.196 |
|
B |
0.625 |
65 |
51 |
0.307 |
|
B |
0.750 |
65 |
51 |
0.442 |
|
B |
0.875 |
65 |
51 |
0.601 |
|
36 |
0.500 |
58 |
36 |
0.196 |
0.142 |
36 |
0.625 |
58 |
36 |
0.307 |
0.226 |
36 |
0.750 |
58 |
36 |
0.442 |
0.334 |
36 |
0.875 |
58 |
36 |
0.601 |
0.462 |
36 |
1.000 |
58 |
36 |
0.785 |
0.606 |
36 |
1.125 |
58 |
36 |
0.994 |
0.763 |
36 |
1.250 |
58 |
36 |
1.227 |
0.969 |
36 |
1.375 |
58 |
36 |
1.485 |
1.160 |
36 |
1.500 |
58 |
36 |
1.767 |
1.410 |
36 |
1.750 |
58 |
36 |
2.405 |
1.900 |
36 |
2.000 |
58 |
36 |
3.142 |
2.500 |
55 |
0.500 |
75 |
55 |
0.196 |
0.142 |
55 |
0.625 |
75 |
55 |
0.307 |
0.226 |
55 |
0.750 |
75 |
55 |
0.442 |
0.334 |
55 |
0.875 |
75 |
55 |
0.601 |
0.462 |
55 |
1.000 |
75 |
55 |
0.785 |
0.606 |
55 |
1.125 |
75 |
55 |
0.994 |
0.763 |
55 |
1.250 |
75 |
55 |
1.227 |
0.969 |
55 |
1.375 |
75 |
55 |
1.485 |
1.160 |
55 |
1.500 |
75 |
55 |
1.767 |
1.410 |
55 |
1.750 |
75 |
55 |
2.405 |
1.900 |
55 |
2.000 |
75 |
55 |
3.142 |
2.500 |
105 |
0.500 |
125 |
105 |
0.196 |
0.142 |
105 |
0.625 |
125 |
105 |
0.307 |
0.226 |
105 |
0.750 |
125 |
105 |
0.442 |
0.334 |
105 |
0.875 |
125 |
105 |
0.601 |
0.462 |
105 |
1.000 |
125 |
105 |
0.785 |
0.606 |
105 |
1.125 |
125 |
105 |
0.994 |
0.763 |
105 |
1.250 |
125 |
105 |
1.227 |
0.969 |
105 |
1.375 |
125 |
105 |
1.485 |
1.160 |
105 |
1.500 |
125 |
105 |
1.767 |
1.410 |
105 |
1.750 |
125 |
105 |
2.405 |
1.900 |
105 |
2.000 |
125 |
105 |
3.142 |
2.500 |
ACI 318-19 Section 17.7.1.2 defines the parameter A se , V as “ the effective crosssectional area of an anchor in shear .” As e , V corresponds to the “ tensile stress area ” of an anchor element , which is calculated using the minor diameter of the element :
A se , V
= π ( d minor
) 2
The PROFIS Engineering cast-in-place anchor portfolio includes the following anchors :
• AWS D1.1 Type B headed studs ( 1 / 2 ” — 7 / 8 ” nominal diameter )
• ASTM F1554 hex head bolt , Gr . 36 , Gr . 55 , Gr . 105 ( 1 / 2 ” — 1-1 / 2 ” nominal diameter )
• ASTM F1554 heavy hex head bolt , Gr . 36 , Gr . 55 , Gr . 105 ( 1 / 2 ” — 2 ” nominal diameter )
• ASTM F1554 square head bolt , Gr . 36 , Gr . 55 , Gr . 105 ( 1 / 2 ” — 1-1 / 2 ” nominal diameter )
• ASTM F1554 heavy square head bolt , Gr . 36 , Gr . 55 , Gr . 105 ( 1 / 2 ” — 1-1 / 2 ” nominal diameter )
The table to the left shows A se , V and ƒ uta values for the PROFIS Engineering castin-place anchor portfolio . PROFIS Engineering uses these values to calculate V sa per Section 17.7.1.2 .
Post-installed anchor ICC-ES evaluation reports ( ESR ’ s ) include pre-calculated values for the nominal static shear steel strength of an anchor element ( V sa
), and nominal seismic shear steel strength of an anchor element ( V sa , eq ). A se , V and ƒ uta values may also be given in the ESR ; however , PROFIS Engineering uses the precalculated V sa and V sa , eq values instead of calculating nominal steel strength in shear per Section 17.7.1.2 .
Reference the Calculations and Results section of the PROFIS Engineering report for more information on :
V sa
: nominal ( static ) steel strength in shear .
V sa , eq
: nominal ( seismic ) steel strength in shear .
Reference the Variables section of the PROFIS Engineering report for more information on :
ƒ uta
: ultimate tensile stress of an anchor element .
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290 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-19 Provisions