2.0 SHEAR
2.3 Steel Failure Mode
Variables т k , c
Variables ACI 318-19 Chapter 17 Provision Comments for PROFIS Engineering
т k , c
17.6.5 . 2.1 Basic bond strength of a single adhesive anchor in tension in cracked concrete , N ba , shall be calculated by Eq . ( 17.6.5.2.1 )
N ba
= λ a т cr πd a h ef
( 17.6.5.2.1 )
17.6.5.2.2 Characteristic bond stress , т cr
, shall be taken as the 5 percent fractile of results of tests performed and evaluated in accordance with ACI 355.4 .
17.6.5 . 2.3 If analysis indicates cracking at service load levels , adhesive anchors shall be qualified for use in cracked concrete in accordance with ACI 355.4 .
17.6.5.2.5 It shall be permitted to use the minimum characteristic bond stress values in Table
17.6.5.2.5 provided ( a ) through ( e ) are satisfied : ( a ) Anchors shall meet the requirements of ACI 355.4 ( b ) Anchors shall be installed in holes drilled with a rotary impact drill or rock drill ( c ) Concrete compressive strength at time of anchor installation shall be at least 2500 psi ( d ) Concrete age at time of anchor installation shall be at least 21 days ( e ) Concrete temperature at time of anchor installation shall be at least 500 ° F
Table 17.6.5.2.5 Minimum characteristic bond stresses [ 1 ] [ 2 ]
Installation and service environment
Moisture content of concrete at time of anchor installation
Peak in-service temperature of concrete ° F т cr psi т uncr psi
Outdoor Dry to fully saturated 175 200 650 Indoor Dry 110 300 1000
( 1 ] If anchor design includes sustained tension , multiply values of т cr and Four by 0.4 . ( 2 ) If anchor design includes earthquake-induced forces for structures assigned to SDC C , D , E , or F , multiply values of т cr
, by
0.8 and т uncr by 0.4 .
Example of a bond strength table in an ICC-ES evaluation report ( ESR ) showing characteristic bond stress values ( т k , cr and т k , uncr ).
ICC-ES ESR-3187 Table 14
DESIGN INFORMATION Symbol Units
Nominal Rod Diameter ( in ). 3 / 8 1 / 2 5 / 8 3 / 4 7 / 8 1 1-1 / 4
Minimum Embedment |
h ef , min
|
in
( mm )
|
2-3 / 8
( 60 )
|
2-3 / 4
( 70 )
|
3-1 / 8
( 79 )
|
3-1 / 2
( 89 )
|
3-1 / 2
( 89 )
|
4
( 102 )
|
5
( 127 )
|
Maximum Embedment |
h ef , max
|
in
( mm )
|
7-1 / 2
( 191 )
|
10
( 254 )
|
12-1 / 2
( 318 )
|
15
( 381 )
|
17-1 / 5
( 445 )
|
20
( 508 )
|
25
( 635 )
|
Temperature Range A 2
Temperature Range B 2
Temperature Range C 2
Characteristic bond strength in cracked concrete |
т k , cr
|
psi
( Mpa )
|
1045
( 7.2 )
|
1135
( 7.8 )
|
1170
( 8.1 )
|
1260
( 8.7 )
|
1290
( 8.9 )
|
1325
( 9.1 )
|
1380
( 9.5 )
|
Characteristic bond strength in uncracked concrete |
т k , uncr
|
psi |
2220 |
2220 |
2220 |
2220 |
2220 |
2220 |
2220 |
|
|
( Mpa ) |
( 15.3 ) |
( 15.3 ) |
( 15.3 ) |
( 15.3 ) |
( 15.3 ) |
( 15.3 ) |
( 15.3 ) |
Characteristic bond strength in cracked concrete |
т k , cr
|
psi
( Mpa )
|
1045
( 7.20 )
|
1135
( 7.80 )
|
1170
( 8.00 )
|
1260
( 8.67 )
|
1290
( 9.00 )
|
1325
( 9.00 )
|
1380
( 9.50 )
|
Characteristic bond strength in uncracked concrete |
т k , uncr
|
psi
( Mpa )
|
2220
( 15.3 )
|
2220
( 15.3 )
|
2220
( 15.3 )
|
2220
( 15.3 )
|
2220
( 15.3 )
|
2220
( 15.3 )
|
2220
( 15.3 )
|
Characteristic bond strength in cracked concrete |
т k , cr
|
psi
( Mpa )
|
855
( 5.9 )
|
930
( 6.4 )
|
960
( 6.6 )
|
1035
( 7.1 )
|
1055
( 7.3 )
|
1085
( 7.5 )
|
1130
( 7.8 )
|
Characteristic bond strength in uncracked concrete |
т k , uncr
|
psi
( Mpa )
|
1820
( 12.6 )
|
1820
( 12.6 )
|
1820
( 12.6 )
|
1820
( 12.6 )
|
1820
( 12.6 )
|
1820
( 12.6 )
|
1820
( 12.6 )
|
1 Bond strength values correspond to concrete compressive strength ƒ ́c = 2500 psi . For concrete compressive strength , ƒ ́c between 2500 psi and 8000 psi , the tabulated characteristic bond strength may be increased by a factor of ( ƒ ́c / 2500 ) 0 . 1 .
2 Temperature range A : Maximum short term temperature = 130 ° F , Maximum long term temperature = 110 ° F Temperature range B : Maximum short term temperature = 176 ° F , Maximum long term temperature = 110 ° F . Temperature range C . Maximum short term temperature = 248 ° F , Maximum long term temperature = 162 ° F Short term elevated concrete temperatures are those that occur over brief intervals , e . g . as a result of diurnal cycling . Long term concrete temperatures are roughly constant over significant periods of time .
The parameter “ т cr
” corresponds to the characteristic bond stress in cracked concrete . If cracked concrete conditions are assumed , т cr is used to calculate the parameter “ N ba
”, which is defined in ACI 318-19 Equation ( 17.6.5.2.1 ).
ACI 318 anchoring-to-concrete provisions default to a design assumption that cracked concrete conditions exist . N ba can be calculated for either cracked or uncracked concrete conditions . PROFIS Engineering calculates N ba using the characteristic bond stress values given in the ICC-ES evaluation report ( ESR ) for the adhesive anchor system . The ESR designates the ACI 318 parameter “ т cr
” as
“ т k , cr ” and the PROFIS Engineering report designates “ т cr
” as “ т k , c
”.
Testing per the ICC-ES acceptance criteria AC308 and the ACI test standard ACI 355.4 is used to derive characteristic bond stress values for adhesive anchor systems . Values derived from this testing are provided in an ESR . Values designated “ т k , cr
” in the ESR correspond to the characteristic bond stress in cracked concrete . The values designated “ т cr
” in ACI 318-19 Table 17.6.5.2.5 are intended to be used as guide values in the absence of product-specific data . When cracked concrete conditions are assumed , PROFIS Engineering uses the
т k , cr values given in the ESR for adhesive anchor bond strength calculations . Although noted in the ESR as a “ strength ”, т k , cr is stress parameter having units of psi .
т k , cr
-values in the ESR are relevant to testing in concrete having a compressive strength of 2500 psi . These values can be increased for compressive strengths 2500 psi < ƒ ́c < 8000 psi using the factor noted in the bond strength table footnotes . PROFIS Engineering increases the т k , cr
-values by this factor when concrete compressive strengths > 2500 psi are being modeled .
т k , cr
-values in the ESR are also dependent on the “ temperature range ” corresponding to “ long term ” and “ short term ” concrete temperatures . The ESR defines “ long term ” concrete temperatures as being “ roughly constant ” over time . “ Short term ” concrete temperatures are elevated temperatures “ that occur over brief intervals ”. Both types of temperature are relevant to the concrete temperature during the service life of the anchor , not the concrete temperature at the time anchors are installed . Long term and short term temperature ranges are defined in footnotes for the bond strength tables of an adhesive anchor ESR .
т k , cr
-values corresponding to a particular temperature range are given in the bond strength table .
Reference the Variables section of the PROFIS Engineering report for more information on :
т k , c , uncr
: characteristic bond stress in uncracked concrete
Reference the Calculations section of the PROFIS Engineering report for more information on :
N ba
: basic bond strength for a single adhesive anchor
257 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-19 Provisions