Group of Tension and Shear Fasteners Near Two
Edges Based on ACI 31802









INPUT
DATA & DESIGN SUMMARY




CONCRETE
STRENGTH



f_{c}'

=










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.)




CHECK
THE FASTENERS TENSILE STRENGTH :

























=


k


N_{u}



















where :

f

=













CHECK
CONCRETE BREAKOUT STRENGTH :


























































=


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.




































=


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

=










































































=


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.





































































=


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























































































































































































































