Concrete Anchor Group Tension and Shear Fasteners
Near Two Edges Based on 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 )








FASTENER
CENTERTOCENTER SPACING

s

=


in








DIST. BETWEEN THE
FASTENER AND EDGE

c1

=


in








DIST. BETWEEN THE
FASTENER AND EDGE

c2

=


in



















ANALYSIS









NUMBER OF
FASTENERS

n

=










EFFECTIVE AREA OF
FASTENER

A_{se}

=


in^{2}








BEARING AREA OF
HEAD

A_{b}

=


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



























=


k


N_{u}






















where :

f

=

































































=


k


N_{u}









where :

f

=














y_{1} term is 1.0 for no
eccentricity in the connection.










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 :




c_{min}

>

0.4h_{ef}













Since the fasteners are located far from a free
edge of concrete, c>0.4h_{ef} ,this type of failure mode is not applicable.


DETERMINE DESIGN
TENSILE STRENGTH :























=


K























CHECK FASTENERs
SHEAR STRENGTH :

























=


k


V_{u}






















where :

f

=













CHECK CONCRETE
BREAKOUT STRENGTH FOR SHEAR LOAD :





















































=


k


V_{u}









where :

f

=














y_{5} term is 1.0 for no eccentricity in the connection.








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








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







CHECK PRYOUT
STRENGTH FOR SHEAR LOAD :




















































=


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























REQUIRED EDGE
DISTANCES AND SPACINGS TO PRECLUDE SPLITTING FAILURE :




Since headed castinplace fasteners are not like
to be highly torqued, the minimun cover requirements of ACI 318 Sec. 7.7
apply.



Cover_{Provd}

>

Cover_{Reqd}


[Satisfactory]









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.




























































































Note:










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)
