Concrete Anchor in Tension and Shear Near an Edge
ACI 31802
















INPUT
DATA & DESIGN SUMMARY











CONCRETE
STRENGTH


f_{c}'

=


ksi








SPECIFIED
STRENGTH OF FASTENER

f_{ut}

=


ksi








???????? (The strength of most fastenings is
likely to be controlled by the embedment strength rather






???????? than the steel strength, so it is
usually economical to use ASTM A307 Grade A fastener.)






FACTORED
DESIGN TENSION LOAD

N_{u}

=


k








FACTORED
DESIGN SHEAR LOAD

V_{u}

=


k








EFFECTIVE
EMBEDMENT DEPTH

h_{ef}

=


in








FASTENER
DIAMETER


d

=


in




FASTENER
HEAD TYPE













?? ( 1=Square, 2=Heavy Square, 3=Hex, 4=Heavy
Hex, 5=Hardened Washers )








DIST.
BETWEEN THE FASTENER AND EDGEE

c

=


in



















ANALYSIS














EFFECTIVE
AREA OF FASTENER

A_{se}

=


in^{2}








BEARING
AREA OF HEAD


A_{b}

=


in^{2}, ( or determined from manufactures's catalogs.)



CHECK
FASTENER TENSILE STRENGTH :





























=


k


N_{u}






















where :

f

=





































































=


k


N_{u}









where :

f

=














???????????? y_{3} term is 1.0 for
location where concrete cracking is likely to occur.







CHECK PULLOUT
STRENGTH :




























=


k


N_{u}






















where :

f

=














???????????? y_{4} term is 1.0 for
location where concrete cracking is likely to occur.







CHECK
SIDEFACE BLOWOUT STRENGTH : (Since c > 0.4hef , this type of failure mode
is applicable.)
























=


k


N_{u}






















where :

f

=













DETERMINE DESIGN
TENSILE STRENGTH :






























=


K























CHECK
FASTENER SHEAR STRENGTH :






























=


k


V_{u}






















where :

f

=


















































=


k


V_{u}


















where :

f

=














???????????? y_{7} term is 1.0 for
location where concrete cracking is likely to occur.








???????????? A_{V}/A_{Vo} and y_{6} terms are 1.0 for single shear fastener not influenced by more
than one free edge.






???????????? l term is load bearing length of the anchor for shear, not to
exceed 8d.






























































































=


k


N_{u}









where :

f

=

0.75













???????????? y_{3} term is 1.0 for
location where concrete cracking is likely to occur.








k_{cp}

=


for h_{ef} > 2.5 in.










DETERMINE DESIGN
TENSILE STRENGTH :






























=


K























CHECK TENSION AND
SHEAR INTERACTION :











Since

N_{u}


0.2 f N_{n}

and












V_{u}


0.2 f V_{n}































































































Summary of Dimensional
Properties of Fasteners











Effective












Fastener

Gross

Area of

Bearing Area of Heads,
Nuts, and Washers







Diameter

Area of

Threaded

( A_{b} )?? ( in^{2} )







( in )

Fastener

Fastener

Square

Heavy

Hex

Heavy

Hardened









( in^{2 })

( in^{2 })

Square

Hex

Washers












































































???????? Techincal Reference:











?????????????????? 1. Ronald Cook,
"Strength Design











?????????? of Anchorage to
Concrete," PCA,











?????????? 1999.




























































































???????? Notes:















??????????????????
For seismic Design Category C, D, E or F, the design strength of
anchors shall be taken as 0.75 fN_{n} & 0.75fV_{n}.



??????????????????
(ACI31802 D3.3.3, IBC 1913.3.3)


