ovy r= xowxdnu r ucuo a=o@= | ycwtn qf= y=ow tr...

11

Upload: others

Post on 28-Feb-2021

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

�1393

Q=y@�'h

}QWu=Qt

a|UOvyt

�| :viC

W=OO=}�

'135�1

25"X

'1/2|

xQ=tW'

30�2

|xQwO

Res

earc

hN

ote

FRP R= xOWxDN=U R=UCUO |a=O@= |=yCwt=N QF= |y=oW}=tR; |UQQ@=@ xU}=kt QO

|}xNQJ |Q=PoQ=@ QF= CLD 'KrUt uD@ Cq=YD= QO |Rri |=yCwt=N�Q=}O=DU=� �Q=OD@ QW s_�OtLt

�|QDmO |wHWv=O� Ovwr=O OtL=u=vtU x=oWv=O 'u=Qta |UOvyt |xOmWv=O

�Q=}O=DU=� |rqH sF}tu=et=O x=oWv=O '|UOvyt w |vi |xOmWv=O

Q@ |oOQwN C=QF= Vy=m |=yVwQ u} QDOt;Q=m R= |m} FRP |Qt}rB h=}r= R= xO=iDU=w =yv; u}}=B Q]k Cra x@ |Rri |=yCwt=N Q@ |oOQwN Q}F-=D xm |}=Hv; R= "CU=yxR=Ul} 'Q=DWwv u}= QO 'CU= |rw] |=yOQor}t R= V}@ K]U x@ =yv; |m}ORv u}vJty

x@ FRP h=}r= R= xOWxDN=U |=yCwt=N |v} Ro}=H QF= |wQ Q@ |y=oW}=tR; VywSBxU 'Qw_vt u}= x@ "CU= xDiQo CQwY |}xNQJ |Q=PoQ=@ CLD |Rri |=yCwt=N |=H

`HQt p=YD= u=wvax@ p=YD= l} 'xOWxDN=U p=YD= 3 R= "OW V}=tR; xDN=U |vD@ p=YD=w |Rri '=yxvwtv |x}rm |rw] |=yOQor}t "Ow@ |Rri Cwt=N w |rw] OQor}t |=Q=O

|xvwtv xU "OvOw@ pLt QO xOWxDN=U FRP TvH R= xOv=t|k=@ |xvwtv wO |=yCwt=Nxm OW x_Lqt xOt;CUOx@ G}=Dv j@=]t "OvDiQo Q=Qk |}xNQJ |Q=PoQ=@ CLD p=YD=

"OvOw@ |Rri |=yCwt=N =@ xU}=kt QO |@U=vt OQmrta |=Q=O FRP |=yCwt=N

[email protected]@gmail.commei [email protected] "|Q}PBpmW 'p=YD= |xtWJ 'FRP Cwt=N '|vD@ p=YD= %|O}rm u=oS=w

xtOkt "1"CU= V}=Ri= x@ wQ [4w3]'=yu=tDN=U w [2w1]'=ypB QO xO=iDU= Qw_vt x@ Cwt=N wQO QF-wt pt=a [8�5]"OW x�=Q= Qw_vt u}ty x@ |L=Q] |xt=vu}}; u}OvJ u}vJty[8�6]"CU= xOvQwN |=y\}Lt QO FRP h=}r= ?wN OQmrta '=yVywSB u}= s=Hv=Ctw=kt 'O=} R uRw x@ |WWm Ctw=kt C@Uv Q}_v |Y=wN |=Q=O FRP h=}r=|WywSB QO "CU= Oqwi x@ C@Uv |oOQwN Q@=Q@ QO O=} R Ctw=kt '?U=vt |oDUN|=yOYQO R= xO=iDU= Q}F-=D |wQ Q@ |y=oW}=tR; |xar=]t l} '2009 p=U QOu; QO w CiQo CQwY |vD@ |=yQ}D Q=DiQ |wQ Q@ GFRP |=yOQor}t hrDNt|}xt=vu}}; G}=Dv =@ |tm |=]N |=Q=O OwHwt |}xt=v u}}; C=QQkt xm OW XNWtpmWQ}}eD |=v@t Q@ |Qw�D pOt l} �2001� sy |Qo}O VywSB QO [9]"OvDUy

[10]"OW x�=Q= FRP OQor}t |=Q=O |=yQ}D |=Q@ |WQ@=@ xOW|R=Uy@ |HQ=N uwDU x@ Q}D p=YD= |}xRQr Q=DiQ R}v 2009 p=U QOw p=YD= |WQ@ Ctw=kt CFRP |=yxkQw xm OvO=O u=Wv G}=Dv w OW |UQQ@ FRP

=yCwt=N R= xO=iDU= QF= '2011 p=U QO u}vJty [11]"OvyO|tV}=Ri= =Q |Q}PBpmWj@=]t w OW |UQQ@ |vD@ Cq=YD= |}xRQr Q=DiQ QO FRP |rw] |=yOQor}t wCwt=N w |rw] OQor}t |=Q=O Cq=YD= xm OW XNWt xOWs=Hv= |=y|UQQ@

[12]"OvQ=O R}v =Q �3 R= QDq=@ |=yCi} QO ptLD C}r@=k FRP

|=yxR=U QO |Q}PBpmW EL@ x@ |}xQ=W= ACI-440-1R |xt=vu}}; \@=w[

u}= l =N "OvQ=O Q=Qk |@ wvH j]=vt QO 'u=Q}= QwWm |R=o w |Div |=yxR=U QDW}@l} "OwW|t C=U}U-=D u}= uO}OxtOY Ea=@ w CU= xOvQwN COW x@ j]=vtu=tR QO xJv=vJ 'CU= KrUt |Oqwi |=yOQor}t x@ xm |rwtat |xtQ;uD@ |xR=U|DtUk 'OQ}o Q=Qk =ywQrm w =yO}U= '=yltv Q}_v xOvQwN pt=wa CQw=Ht QO |vqw]nvR uD@ pN=O QO xm |Oqwi 'xwqa x@ "O=O Oy=wN CUO R= =Q OwN Ctw=kt R=uD@ |xDUwB uDN} Q w uOWOQN Ea=@ w OQw;|t Q=Wi OwN h=Q]= uD@ Q@ 'OvR|t|oOQwN C=QF= '=yCwt=N x@ C@Uv |rw] |=yOQor}t QDW}@ Q]k p}rO x@ "OwW|txO=iDU= |Rri |rw] |=yOQor}t R= u=wD|t =Pr w CU=yCwt=N R= QDtm =yv; QOpt=wa p@=kt QO GQ=N \}Lt x@ QDW}@ |m}ORv w QDtm Q]k p}rO x@ =yCwt=N "OQmQ}_v |oOQwN Q@=Q@ QO sw=kt |=yCwt=N R= xO=iDU= w OvDUy QDQ}PB?}U; 'xOvQwN|Qw=:vi p}rO x@ xDN=UV}B |=yCwt=N O}rwD "CU= ?U=vt FRP |=yCwt=NlJwm |=yxSwQB |=Q@ =yv; |q=@ Ct}k u}vJty w uOw@vTQDUO QO w O}rwD X=NQ@xwqa xm 'FRP Cwt=N QF-wt CN=U VwQ l} |x�=Q= "OQ=Ov |O=YDk= x}HwDQ_v x@ |QwQ[ 'OW=@ xOQ=w |=ywQ}v Q@=Q@ QO |@ wN OQmrta |=Q=O uOw@xv} Ry sm|rw] OQor}t p=mW= QO FRP h=}r= R= xOWxDN=U |=yOQor}t R= xO=iDU= "OUQ|t

pw�Ut xOvU} wv �"1391 11 30 VQ}PB '1391 8 1 x}LqY= '1390 12 1 Ci=} QO %M} Q=D

Page 2: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""R=UC

UO|a

=O@=|=y

Cwt=NQ

F=|y=o

W}=tR;|

UQQ@

"xar=]t OQwt ?=k `]=kt O=a@= w OQor}t OYQO "1 pwOH�0s �s �t d h b `]kt{ { 0 022 550 600 600 A-A

{ { 0 0197 450 500 500 B-B

{ { 0 0124 450 500 500 C-C

0 009 0 012 { 350 400 600 D-D

0 0051 0 0068 { 350 400 500 E-E

0 004 0 0055 { 350 400 500 F-F

=yxvwtv C=YNWt "2"2uwDU `]kt `=iDQ= "OW xDN=U 1%2 T=}kt QO u=Um} O=a@= =@ xar=]t OQwt p=YD= xUQO 250mm ZQa =@ 200mm Q}D `]kt `=iDQ= w 250mm ZQa =@ 250mm

�JSD� `HQt |xvwtv u=wva x@ p=YD= l} 'xOWxDN=U p=YD= xU R= "OW xDiQo Q_vQy QO "OW xDN=U |Q}PBpmW \@=w[ C}=aQ =@ |Rri Cwt=N w |rw] OQor}t =@l} 'Qo}O p=YD= |xvwtv wO R= "OW xO=iDU= |Oqwi |rw] |=yOQor}t R= xvwtv xUw '|Q}PBpmW \@=w[ C}=aQ =@ �JFD |xvwtv� FRP |=yCwt=N |=Q=O xvwtv\@=w[ C}=aQ sOa =@ |rw �JFU |xvwtv� FRP Cwt=N |=Q=O Qo}O |xvwtv|=Q=O xOWxDN=U p=YD= xU Qy uwDU '2 pmW j@=]t "OvOW xDN=U |Q}PBpmW205GPa |v=UWm pwOt 1231mm2 CL=Ut =@ |rw] OQor}t u=wvax@ 8�14xO=iDU= Q}D u}}=B u}vJty w q=@ QO '339mm2 CL=Ut x@ 3�12 R= "OvDUy|xrY=i x@ Q}PBpmW |x}L=v QO JFD w JSD |=yxvwtv QO Q}D |=yCwt=N "OW"OvOW ?Yv 100mm |xrY=i x@ Q}PBpmW |x}L=v R= GQ=N QO w 50mm

uwDU QO "OW ?=NDv= 100mm Q}D |=yCwt=N |x}rm pY=wi JFU |xvwtv QOQO w 50mm =yCwt=N pY=wi Q}PBpmW |x}L=v QO JFD w JSD |=yxvwtvQO s=Hv=QU "OW Qw_vt 150mm =yCwt=N pY=wi Q}PBpmW |x}L=v R= GQ=NQO "OW xDiQo Q_v QO 150mm uwDU |=yCwt=N pY=wi |x}rm JFU |xvwtvQO 'OW xO=iDU= Cwt=N wO R= p=YD= |xtWJ |x}L=v QO JFD w JSD |=yxvwtv"OW x}@aD p=YD= |xtWJ |x}L=v QO Cwt=Nl}\ki JFU |xvwtv QO xm |DQwY'|y=ox}mD uD@ uOWxOQwN R= |Q}owrH w x=ox}mD |wQ Q@ xvwtv uO=OQ=Qk Qw_vt x@x@ "OW xO=O Q=Qk =yx=ox}mD u}}=B w q=@ QO 5mm Ct=N[ x@ |Oqwi |xLiY 4`} RwD w uD@ uOWOQN R= |Q}owrH w uwDU |=yDv= x@ |QwLt |wQ}v p=ta= Qw_vtwO QO 10mm Ct=N[ x@ |Oqwi |xLiY OOa 2 R= |QwLt |wQ}v CN=wvm}p=ta= CyH h=Y |L]U O=H}= Qw_vt x@ 'u}vJty "OW xO=iDU= uwDU |=yDv=xO=iDU= Q=@ p=ta= pLt QO 8mm Ct=N[ x@ |Oqwi |xLiY OOa 2 R= Q=@

"OW

Kr=Yt C=}YwYN "3"228|Q=WiCtw=kt "OW xO=iDU= IIA}D OvrDQB u=t}U R= =yxvwtvuD@CN=U Qw_vt x@Oa)@ |xv}W}@ "CU= xOw@ 30MPa =yxvwtv uD@ OQ=Ov=DU= |}xv=wDU= |xvwtv |xRwQR= xvwtv 3 Qy |=Q@ xOWxO=iDU= |=yOQor}t "Ow@ 10mm uD@ QO xOWxO=iDU= |=yxv=O408MPa s}rUDCtw=kt|=Q=O =yuwDU|rw]|=yOQor}t "OvOW?=NDv= Q=OG; wvQO xOWxO=iDU= |rw] |=yOQor}t u}vJty "OvDUy 470MPa |}=yv Ctw=kt w"OvDUy 542MPa |}=yv Ctw=kt w 354MPa s}rUD Ctw=kt |=Q=O R}v =yQ}D

|Rri |rw] OQor}t R= xO=iDU= CqmWt R= |m} [5]"OQ=Ov =Q FRP Cwt=N |=Q=Ow FRP |=yxm@W uOw@vTQDUO QO w q=@ Ct}k |}xm@W |=yCwt=N x=Qty x@|=yCwt=N R= xO=iDU= "CU= lJwm |=yxSwQB QO |O=YDk= |xiQY sOa u}vJty|DL=Q |=Q=O '=yxv=NQ=m `=wv= x@ C@Uv uOw@ QDu=RQ= Q@xwqa Q=DWwv u}= QO xOWx�=Q=|r}]DUt w |FrFt R= sa= |rw] |=yOQor}t Vv}J wv Qy =@ j=@]v= w =QH= w ?Yvw FRP |=yCwt=N R= xO=iDU= =@ |vD@ p=YD= wO Q=DWwv u}= QO "CU= |}xQ}=O wwO u}= QO FRP |=yCwt=N pY=wi "OW V}=tR; w xDN=U |Rri |rw] OQor}t|x}L=v QO =yCwt=N pY=wi p=YD= l} QO "CU= Cw=iDt sy =@ p=YD= |xvwtvQ}D |xS} w |x}L=v QO =yCwt=N pY=wi Qo}O p=YD= QO w 50mm uwDU w Q}D |xS} w|vLvt u}vJty w u=mtQ}}eD- Qovr |=yQ=Owtv 'xt=O= QO "CU= 100mm uwDU w|SQv= ?PH |vLvt u}vJty w FRP |=yCwt=N VvQm- Qovr w =vLv= - Qovr

"CU= xOW sUQ Cq=YD=

|y=oW}=tR; |xt=vQ@ "2p=YD= |L=Q] Qw_vt x@ xvwtv ?=k ?=NDv= "1"2

u=wva x@ QDt 3 C=k@] `=iDQ= w |QDt 5 |xv=yO 4 =@ xk@] 8 |WtN ?=k l}Qw_vt x@ xOWZQi xOvR w xOQt Q=@ "OW ?=NDv= Cq=YD= |L=Q] |=Q@ `HQt ?=kCtw=kt "OW xDiQo Q_v QO 1750kg/m w 2750kg/m ?}DQD x@ ?=k |L=Q]xOW xDiQo Q_v QO 20GPa w 30MPa ?}DQD x@ uD@ |v=UWm pwOt w |Q=Wi"CU= xOW xDiQo Q_v QO 400MPa s}rUD Ctw=kt |rw] |=yOQor}t |=Q@ "CU=uRw "OW x@U=Lt 0 3g �PGA� u}tR ?=DW |xv}W}@ ZQi =@ |L=Q] |x}=B VQ@2800 OQ=Ov=DU= =@ j@=]t xOvR Q=@ �20 xwqa x@ xOQt Q=@ wtHt 'xrRrR QO QF-wtuD@ |xt=vu}}; |=v@t Q@ w 6 Q=DiQ ?} Q[ =@ ?=k u}= [13]"CU= xOW xDiQo Q_v QOOQor}t OYQO ?}DQD x@ �0s w �s '�t '1 pmW QO "CU= xOW |L=Q] [14]'=m} Qt;'`]kt `=iDQ= h u}vJty w OvDUy Q}D |Q=Wi w '|WWm OQor}t OYQO 'uwDU |rw]`]=kt OQor}t OYQO '1 pwOH QO "OvDUy `]kt QF-wt `=iDQ= d w '`]kt ZQa bu=wvax@ sHvB |xk@] QO `k=w |Q=vm p=YD= "CU= xOW xO=O u=Wv u; O=a@= w ?=k

"OW ?=NDv= =v@t p=YD=

"Cq=YD= |L=Q] CyH `HQt ?=k "1 pmW

126

Page 3: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""wOvwr

=OOtL=

'Q=OD@QW

s_=mOtL

t

"p=YD= C=}�RH "2 pmW

FRP R= xOW xDN=U R=U CUO |a=O@= |=yCwt=N "3 pmW

"p=YD= QO xDiQQ=m x@ |=yOQor}t C=YNWt "2 pwOH|xQ=tW C}akwt Ctw=kt Ctw=ktOQor}t �MPa� s}rUD �MPa� |}=yv14 uwDU |rw] OQor}t 408 4712 Q}D |rw] OQor}t 354 5426 �`HQt |xvwtv� Cwt=N 260 290

|}=yv Ctw=kt w 260MPa s}rUD Ctw=kt |=Q=O xDiQQ=m x@ |Rri |=yCwt=N|Rri |=yOQor}t w =yCwt=N |Dtw=kt C=YNWt '2 pwOH QO "OvDUy 290MPa

"CU= xOW xO=O u=Wv �s}kDUt VWm V}=tR;�

Cwt=NCN=UCyH xOWxOQ@ Q=mx@ u} RQ w FRP C=}YwYN "4"2"Ov=xOW xDN=U u@ Qm wv FRP h=}r= R= xO=iDU= =@ |a=O@= R=UCUO |=yCwt=Nu}= "CU= xOW x�=Q= 3 pwOH QO xOvR=U CmQW \UwD h=}r= |m}v=mt C=YNWtxHwD =@ 'R=}v OQwt `]kt K]U |x@U=Lt R= Oa@ xm 'CU= xLiY CQwYx@ h=}r=|=yQ=wv TBU "OvOW xO} Q@ |rY= |xa]k R= h=}r= u}= 0 11mm Ct=N[ x@|wQ Q@ xOWXNWt |=ypLt QO w '`=@W= |UmwB= u} RQ R= xO=iDU= =@ xOWxO} Q@|}xvwox@ '|rY= |xLiY R= xOWxO} Q@ |=yQ=wv pw] "OvOW ?Yv |rw] OQor}t"OW=@ xDW=O |v=WwBsy OwN u} Q} R |x}q =@ pt=m QwO l} Q=wv Qy xm OW ?=NDv=|UmwB= ?UJ =D 'OvDiQo Q=Qk j=D= |=tO QO RwQ 5 COt x@ ?Yv R= TB =yCwt=N

"�3 pmW� OUQ@ Ctw=kt x@

"xOWxOQ@ Q=m x@ CFRP |v@ Qm h=}r= C=LiY C=}YwYN "3 pwOH|Q=HD s=v h=}r= wv |WWm Ctw=kt |v=UWm pwOt |}=yv VvQm x}q Qy Ct=N[pwYLt (MPa) (GPa) ��� (mm) h=}r= R=

YC-N200 q=@ Ctw=kt u@ Qm 3550 235 1 5 0 11

127

Page 4: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""R=UC

UO|a

=O@=|=y

Cwt=NQ

F=|y=o

W}=tR;|

UQQ@

"(Test Set-up) V}=tR; |=Q@ =yxvwtv s}_vD C=}�RH "4 pmW

xOWxO=O u=Wv |=ypLt QO 4 pmW j@=]t �LVDT� |}=yGvUu=mtQ}}eD 'p=YD="OW xO=iDU= Q}D |q=@ u=mtQ}}eD |Q}oxR=Ov= Qw_vt x@ LVDT OOa wO R= "OW ?YvC=aq]= C@F x=oDUO x@ '=yv; C=aq]= C@F Qw_vt x@ |Q}oxR=Ov= |=yQ=R@= |xty

"OvOW pYDtx@ 'Ov=xOW xO=O Q=Qk xvwtv |q=@ QO |ki= CQwYx@ xm '200kN lH wO R=|QwLt Q=@ p=ta= Qw_vt x@ "OW xO=iDU= Q}D |=yDv= x@ |}xNQJ Q=@ p=ta= Qw_vtuwDU Qo}O |=yDv= w OW xO=O Q=Qk uwDU |=yDv= QO 500kN lH l} 'uwDU x@uwDU x@ xOWp=ta= 350kN C@=F |QwLt |wQ}v "OW pYDt |rYit x=ox}mD x@5 |x]@=Q j} Q] R= xm Ow@ uwDU |Q=Wi C}iQ_ |xv}W}@ �20 'V}=tR; pw] QO

%CU= xOW x@U=LtPn = 0 85f 0c (Ag �As) +Asfy (5)

"CU= 1250mm uwDU Q@ =D Q}D |=yDv= x@ |ki= |wQ}v p=ta= pLt |xrY=i=@ �0 5 Ci} QO =@ xNQJ 3 =@ u=mtQ}}eD pQDvm CQwYx@ Q}D x@ |r=ta= |ki= |wQ}v'xt=O= QO "OvOW u=}=tv |WtN u=UWm |=ylQD =D OW R=e; 6 25mm u=mtQ}}eDQO xNQJ 3 pt=W |Q=PoQ=@ |Oa@ pL=Qt "OW p=ta= Q}D x@ �1 Ci} QO =@ xNQJ 3Q@=Q@ |@Uv Ci} QO '6 pmW j@=]t "Ow@ 5 pmW j@=]t |W}=Ri= |Q=PoQ=@ |xQwO Qy

"|r=ta= |Q=PoQ=@ |xJN} Q=D "5 pmW

FRP |=yCwt=N |L=Q] "30 75 |WQ@ Ctw=kt p}rkD ?} Q[ R= [5]'ACI-440-1R |xt=vu}}; \@=w[ j@]u}= j@=]t u}vJty "OwW|t xO=iDU= (Vn) |tU= sw=kt |wQ}v Vy=m Qw_vt x@|WQ@ |wQ}v Vn x]@=Q u}= QO xm OW=@ Q=QkQ@ 'Vn � Vu |x]@=Q O}=@ 'xt=vu}};"CU= [14]'ACI-318-05 |xt=vu}}; j@] xOQ=w |WQ@ |wQ}v Vu w |tU= sw=ktCtw=kt R=|W=v |Rri Cwt=N w |Rri|rw] OQor}t |=Q=O `]ktl}|WQ@Ctw=ktQO "CU= |Rri |=yCwt=N \UwD xOWu}t-=D |WQ@ Ctw=kt xwqax@ uD@ |WQ@Ctw=kt syU 'OW=@ FRP Cwt=N w |Rri |rw] OQor}t |=Q=O `]kt xm |DQwYQO |Rri |=yCwt=N syU u} Ro}=H FRP |=yCwt=N \UwD xOWu}t-=D |WQ@

"OwW|t `]kt |WQ@ Ctw=ktu=wD|t FRP |=yCwt=N\UwD xOWu}t-=D|WQ@Ctw=kt |x@U=Lt Qw_vt x@

%OQm xO=iDU= ACI-440-1R |xt=vu}}; j@=]t 1 |x]@=Q R=Vf = Afvffvd

s(1)

K]U Afv 'FRP |=yCwt=N \UwD xOWptLD |WQ@ |wQ}v Vf 'x]@=Q u}= QO xmQF-wt jta w =yCwt=N u}@ |xrY=i ?}DQD x@ d w s 'FRP |=yCwt=N `]ktO=yvW}B j@] xm 'CU= FRP |=yCwt=N QO QF-wt VvD R}v ffv "OvDUy `]kt

%OwW|t x@U=Lt 2 |x]@=Q CQwYx@ ACI-440-1R |xt=vu}};ffv = 0 004Ef (2)

ACI-440-1R |xt=vu}}; "CU= FRP |=yCwt=N|v=UWm pwOtEf 'u; QO xmu=R}t x@ '`]kt QO xO=iDU= OQwt |WQ@ Cwt=N |xv}tm Q=Okt xm Ovm|t x}YwD

%OW=@ 3 |x]@=QAfv;min = 0 35 bws

ffv(3)

=@ '`HQt |xvwtv QO xDiQQ=m x@ |Rri OQor}t pO=at FRP Cwt=N |L=Q] Qw_vt x@|=yCwt=N |=Q@ R=}vOQwt `]kt K]U 'xt=vu}}; \UwD xOWx�=Q= \@=wQ R= xO=iDU=x@U=Lt FRP |=yCwt=N |=Q@ �0 4 VvQm ZQi =@ 4 |x]@=Q j@=]t FRP

%�4 pwOH� OvOWAf = AsFy

0 004Ef (4)

pO=at `]kt K]U Af w |Rri Cwt=N j=U l} `]kt K]U As 'x]@=Q u}= QO xmu=Wv Cq=YD= |wQ Q@ xOW?Yv |=yCwt=N '?3 pmW QO "CU= FRP Cwt=N

"CU= xOW xO=O

V}=tR; |=Q@ =yxvwtv s}_vD "4Qw_vt x@ "CU= xOW xO=O u=Wv 4 pmW QO V}=tR; s=Hv= |=Q@ =yxvwtv C=}�RHuwDU w Q}D u=QwO w p=YD= |xtWJ VvQm u}vJty w |Q}tN pY=it pw] u}}aD

"FRP Cwt=N pO=at CL=Ut "4 pwOHj=U l} `]kt K]U Cwt=N s}rUD VvD h=}r= |v=UWm pwOt

(mm2) Cwt=N (MPa) |Rri (GPa) FRP

|Rri FRP 260 23528 3 7 8

128

Page 5: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""wOvwr

=OOtL=

'Q=OD@QW

s_=mOtL

t XNWt =yQ=Owtv R= xm |Qw]u=ty "OvDUy Q}PBpmW |Q=DiQ w ?wN |SQv= lqyDU="CU= Qo}O |xvwtv wO x@ C@Uv |QDQ}PBpmW Q=DiQ |=Q=O JFD |xvwtv 'CU=14 9kN.m Qovr QO JSD |xvwtv QO Q}D |rw] |=yOQor}t |oOWs}rUD u}rw=u=mtQ}}eD w 15 2kN.m Qovr QO JFD |xvwtv QO '11 37mm u=mtQ}}eD w12 44mm u=mtQ}}eD w 18 93kN.m Qovr QO JFU |xvwtv QO w 9 89mm

Q=JO Qo}O |xvwtv wO x@ C@Uv |QDtm u=mtQ}}eD QO JFD |xvwtv "CU= xO=O MQu}rw= u; QO xm |v=mtQ}}eD xm |Qw] x@ 'CU= xOW |rw] |=yOQor}t |oOWs}rUD|oOWs}rUD u=mtQ}}eD x@ C@Uv 'CU= xO=O MQ JFD |xvwtv QO |oOWs}rUDu=R}t "OyO|t u=Wv Vy=m �20 w �13 ?}DQD x@ JFU w JSD |=yxvwtvuOW|Q=H u=mtQ}}eD x@ |}=yv u=mtQ}}eD C@Uv T=U= Q@ xm xvwtv |Q}PBpmW'7 5 ?}DQD x@ JFU w JFD 'JSD |=yxvwtv QO 'OwW|t h} QaD (�u=�y)

|}=yv u=mtQ}}eD 'Cq=YD= |Q}PBpmW ?} Q[ |x@U=Lt QO "CU= 6 8 w 8 6'Cq=YD= QO x}rw= |=ylQD |xOy=Wt Qw_vt x@ "CU= xOW xDiQo Q_v QO 85mm

u}= QO Cq=YD= |x}rm "OW R=e; �0 5 Ci} QO R= Cq=YD= x@ |r=ta= |Q=PoQ=@Ci} QO QO JSD |xvwtv QO "OvOW Q}D ZQa |x}L=v QO |}=ylQD Q=JO u=mtQ}}eDQ=Oxr=@vO ?Qwt |=ylQD p}mWD w p=YD= |xtWJ |x}L=v QO =ylQD u}DUNv �1"OW x_Lqt |QO?Q[ pmW x@ p=YD= |xtWJ |x}L=v QO pt=m |Q]k CQwYx@Ci} QO QO p=YD= |xtWJ |x}L=v QO =ylQD u}DUNv 'JFU w JFD |xvwtv |=Q@'p=YD= |xtWJ QO |Q]k VvQm C=Q}}eD |vLvt '9 pmW QO "OW x_Lqt �1|Q}oxR=Ov= p=YD= |xtWJ QO xOWx}@aD |QO?Q[ |=yLVDT |xr}Uw x@ xm

"CU= xOW xO=O u=Wv 'Ov=xOWLVDT pw] Q}}eD CQwYx@ 9pmW QO xOWxO=O u=WvG}=Dv xmCU= QmP x@ sRq'JSD Cq=YD= |=Q@ "CU= LVDT |=yDv= wO u}@ |xrY=i Q@ VN@ x_Lr Qy QO|=yLVDT |xr}Uw x@ xOWC@F |Q=Wi VvQm |xv}W}@ ?}DQD x@ JFU w JFD

CUOx@ OYQO 2 w 1 8 '1 |Q=PoQ=@ |=yDv= QO p=YD= |xtWJ |x}L=v |Q]kp=YD= |xtWJ |x}L=v |Q]k |=yLVDT |WWm VvQm |xv}W}@ u}vJty "Ot;|xt=O= =@ "OW x@U=Lt OYQO 1 76 w 1 78 '1 65 ?}DQD x@ |Q=PoQ=@ |=yDv= QO'OYQO 7 =D 2 |=yCi} QO QO "Ci=} xt=O= =ylQD ZQa VQDUo OvwQ '|Q=PoQ=@|=ylQD '=yDv= QO "Ci=} V}=Ri= R}v |r@k |=ylQD ZQa w OW QDW}@ =ylQD O=OaD=ylQD VQDUo u}vJty "O=O MQ uwDU x@ u; p=YD= |m}ORv QO w Q}D QO ?Qwt |WQ@|=yDv= =D OvwQ u}= xm 'Ci=} xt=O= p=YD= |xtWJ |x}L=v QO =yu; jta V}=Ri= w

"O}UQ u=}=B x@ V}=tR; �7 Ci} QO x@ uO}UQ =@ 'xt=O= QO "OW Q=QmD |Q=PoQ=@

"|r=ta= Ci} QO "6 pmWQ@ =D Q=@ p=ta= pLt |xrY=i Q@ VN@ Q}D |=yDv= x@ xOQ=w |}=H@=H CtUk GQ=N =@u}vJty w =yCwt=N |wQ Q@ C=aq]= C@F Qw_vt x@ |vD@ Cq=YD= QO "CU= uwDU|}=yGvUVvQm �7 pmW j@=]t� xvwtv 3 Qy QO 'uwDU w Q}D |rw] |=yOQor}t

"OW ?Yv

V}=tR; G}=Dv w C=Oy=Wt "5Cq=YD= |}xNQJ Q=DiQ "1"5

u}= "CU= xOW xO=O u=Wv p=YD= |xvwtv 3 Ci} QO- Qovr |vLvt '8 pmW QOw JSD |xvwtv wO "CU= �7 Ci} QO =D Cq=YD= Q=O}=B Q=DiQ Qou=}@ |vLvtp}rO x@ |Q}tN pY=it 'xvwtv 3 Qy QO "OvDUy |y@=Wt ,=@} QkD Q=DiQ |=Q=O JFD

uOw@ QD|wk p}rO x@ w Ov=xOW p}mWD Q}D QO |wk uwDU� h}a[ Q}D |xO}= C}=aQOwHw x@ p=YD= |xtWJ |x}L=v QO |QDtm |Q}tN |=yVvQm 'Q}D x@ C@Uv uwDUp=ta= pw] QO "CU= xO=O MQ Q}D |x}L=v QO Cq=YD= |x}rm s=Oyv= "CU= xOt;=yxvwtv w OQwN|tv sWJ x@ xvwtv 3 Qy QO Ctw=kt Vy=m '=yu=mtQ}}eD |x}rmw JFD 'JSD |=yxvwtv "Ov=xOQm |QBU Ctw=kt Ci= uwO@ =Q q=@ |=yu=mtQ}}eD'26 6kN.m|}=yv Qovr?}DQD x@ Q}D |=yDv= QO 85mm|}=yv u=mtQ}}eD QO JFU

C}iQ_ u} QDW}@ |=Q=O JFD |xvwtv "OvOQm ptLD =Q 27 9kN.m w 31 3kN.m

"Ow@ JFU |xvwtv R= V}@ �12 w JSD |xvwtv R= QDW}@ �18 u=R}t x@ |Q@ Q=@|=Q=O '|r=wDt |=ypm}U u}@ |xrY=i uOw@O=} R p}rO x@ =yxvwtv '8 pmW j@=]t

"=yCwt=N w =yOQor}t |wQ Q@ =yGvUVvQm ?Yv pLt "7 pmW

129

Page 6: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""R=UC

UO|a

=O@=|=y

Cwt=NQ

F=|y=o

W}=tR;|

UQQ@

"p=YD= |xtWJ |x}L=v QO |Q]k |=yLVDT |WWm w |Q=Wi VvQm "9 pmW

VvQm w �0 083 |xv}W}@ Q=Okt x@ JSD |xvwtv QO |Rri Cwt=N VvQm 'Q=Owtv0� 088 |xv}W}@ Q=Okt x@?}DQD x@ JFU w JFD |=yxvwtv QO FRP |=yCwt=NQO Cwt=N VvQm |vLvt '12 pmW QO "O}UQ |Q=PoQ=@ |=yDv= QO �0 061 w|xv}W}@ "CU= xOW xO=O u=Wv p=YD= x@ xOQ=w Qovr ?UL Q@ p=YD= |xtWJ0 24 '0 19 ?}DQD x@ |Q=PoQ=@ |=yDv= QO JFU w JFD 'JSD |=yxvwtv VvQmuwDU Cwt=N u}rw= VvQm� Qovr |vLvt '13 pmW QO "CU= OYQO 0 6 w|=yxvwtv QO =yCwt=N VvQm |xv}W}@ 'pmW u}= j@=]t "CU= xOW xO=O u=Wv0 074 w 0 051 '0 068 ?}DQD x@ |Q=PoQ=@ u=}=B QO JFU w JFD 'JSD

"Cq=YD= Ci} QO- Qovr |vLvt "8 pmW

xOW xO=O u=Wv =yV}=tR; u=}=B QO Cq=YD= |oOQwNlQD |xwLv '10 pmW QO|x}rm QO |oDN}Uo pmW 'OwW|t x_Lqt pmW u}= QO xm |Qw]u=ty "CU=|x}L=v QO xHQO 45 |=ylQD wkw =@ xm CU= |WQ@ CQwYx@ p=YD= |=yxvwtv

"CU= xO=O MQ uwDU x@ Q}D p=YD= |}=OD@=

p=YD= |=yCwt=N VvQm "2"5Q@ R= 50mm |xrY=i QO xm Q}D Cwt=N u}rw= VvQm |vLvt '11 pmW QOu}= j@=]t "CU= xOW xO=O u=Wv xOQ=w Qovr ?UL Q@ 'OQ=O Q=Qk p=YD= uwDU

130

Page 7: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""wOvwr

=OOtL=

'Q=OD@QW

s_=mOtL

t

"Cq=YD= QO Q}D Cwt=N u}rw= VvQm "11 pmW

QO `k=w Cwt=N uwDU w Q}D Cwt=N u}rw= |=Q@ =yxvwtv |xv}W}@ VvQm "5 pwOH"p=YD= |xtWJ

Cwt=N VvQm |xv}W}@ Cwt=N VvQm |xv}W}@ Cwt=N |xv}W}@ xvwtv��� uwDU pw= ��� p=YD= |xtWJ ��� Q}D pw=0 068 0 19 0 082 JSD

0 051 0 24 0 088 JFD

0 074 0 6 0 061 JFU

"|Q=PoQ=@ |=yDv= QO Cq=YD= |xvwtv "10 pmW

u}rw= |=Q@ xvwtv Qy Q@ OQ=w VvQm |xv}W}@ Q}O=kt '5 pwOH QO "CU= OYQOxOW xO=O u=Wv p=YD= |xtWJ QO `k=w Cwt=N u}vJty w uwDU w Q}D Cwt=N

"CU=

=vLv= Qovr "3"5`]kt u; |]NQ}e |WtN |=y|oS} w 'xtQ;uD@ `]kt l} |=Q@ =vLv=- Qovr |vLvt`]kt l} |=Q@ xm OyO|t u=Wv |vLvt u}= `k=w QO "Ovm|t u=}@ j}kO Qw]x@ =Q|QwLt |wQ}v l} |=R= x@ '|rw] |=yOQor}t u}at `} RwD =@ x=Qty |vD@ XNWt

131

Page 8: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""R=UC

UO|a

=O@=|=y

Cwt=NQ

F=|y=o

W}=tR;|

UQQ@

"uwDU Cwt=N u}rw= VvQm- Qovr |vLvt "13 pmW

Ci} QO� Qovr |vLvt VwB "4"5|vLvt |=Q=O =yxvwtv "OwW|t x_Lqt Ci} QO- Qovr VwB |vLvt '15 pmW QOCi} QO =D JSD |xvwtv 'hr=15 pmW j@=]t "OvDUy xv=oOvJ |W}=Ri= MQv =@ VwBVwB |vLvt �7 Ci} QO =D �2 Ci} QO R= "CU= |]N V}=Ri= |=Q=O ,=@} QkD �2QO |v=OvJ V}=Ri= �6 =D �2 Ci} QO R= xvwtv u}= "CU= xOW |oDUmW Q=JOCi} QO =D �3 Ci} QO R= |vLvt '|ivt |xN=W QO "OyO|tv u=Wv Qovr Q=OktQw]u=ty "OQ=O Ctw=kt V}=Ri= �7 Ci} QO QO |rw &OyO|t u=Wv Vy=m �6|=Q=O �2 Ci} QO =D R}v JFD |xvwtv 'CU= xOW xO=O u=Wv ?15 pmW QO xm

"p=YD= |xtWJ |x}L=v Cwt=N VvQm "12 pmW

Oy=wN |Qovr xJ |=Q=O OwN |x}rw= C}a[w x@ C@Uv <=vLv= Qy QO `]kt 'X=NQ]k w =yOQor}t pLt '`]kt |UOvy pmW O}=@ =vLv=� Qovr |vLvt u}}aD |=Q@ "Ow@CyH w `]kt x@ |r=ta= |QwLt |wQ}v 'uD@ w Oqwi VvQm-VvD |=y|vLvt '=yv;50mm QO `k=w p=YD= Q}D `]kt =vLv=� Qovr |vLvt '14 pmW QO "OW=@ swrat QovrJFD 'JSD |=yxvwtv |=Q@ `]kt u=QwO |xv}W}@ "CU= xOW xO=O u=Wv uwDU Q@|=Q=O JFD |xvwtv "CU= u=}O=Q 0 057 w 0 058 '0 05 Q@=Q@ ?}DQD x@ JFU w|=Q@ =vLv= |x} w=R |xv}W}@ "CU= Qo}O |xvwtv wO x@ C@Uv |QDnQR@ `]kt |=vLv=QDW}@ OYQO 2 w 16 ?}DQD x@ JFU w JSD |=yxvwtv x@ C@Uv 'JFD |xvwtv

"CU=

132

Page 9: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""wOvwr

=OOtL=

'Q=OD@QW

s_=mOtL

t

"Cq=YD= Ci} QO Qovr VwB |vLvt "15 pmW

|xv}W}@ |=Q=O JFU |xvwtv "CU= `HQt |xvwtv R= V}@ �12 3 u=R}t x@ w C@Ft"CU= `HQt |xvwtv R= V}@ �6 u=R}t x@ xm 'CU= |ivt Qovr Q=Okt

|SQv= ?PH "5"5T}UQDR}y |=yxkrL CL=Ut wtHt R= Ov=wD|t p=YD= Qy |SQv= ?PH |vLvt'16 pmW QO "O}; CUO x@ 'CU}v Q=@ |xv}W}@ �85 R= QDtm Q=@ xm |}=yCi} QO QOCi} QO =D xvwtv 3 Qy "CU= xOW xO=O u=Wv p=YD= 3 xr}Uw x@ xOW?PH |SQv=Ci} QO u}= QO xm |Qw] x@ 'OvDUy |v}}=B |SQv= ?PH Q=Okt |=Q=O ,=@} QkD �1 5

"Cq=YD= Q}D <=vLv=� Qovr |vLvt "14 pmW

"CU= |QDtm |W}=Ri= MQv |=Q=O �7 =D �2 Ci} QO R= w CU= |]N V}=Ri= MQv"CU= xOW Q=@ Ci= Q=JO |ivt |xN=W QO xvwtv u}= |Q=PoQ=@ |xQwO |=yDv= QO"CU= xOW xO=O u=Wv G15 pmW QO R}v JFU |xvwtv Ci} QO� Qovr VwB |vLvt|=Q=O �1 5 Ci} QO =D xvwtv u}= 'OwW|t x_Lqt pmW u}= QO xm |Qw]u=tyxvwtv u}= QO "CU= |QDOvm ?}W |=Q=O OYQO 7 =D �1 5 Ci} QO R= w OvD |@}W

"CU= xOWv x_Lqt |D}iQ_ Vy=m xvwoI}y |Q=PoQ=@ |=yDv= =DxOW xO=O u=Wv xvwtv Qy |=Q@ |ivt w C@Ft Qovr |xv}W}@ Q=Okt 6 pwOH QOQovr Q=Okt |xv}W}@ |=Q=O JFD |xvwtv 'OwW|t x_Lqt xm |Qw]u=ty "CU=

133

Page 10: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""R=UC

UO|a

=O@=|=y

Cwt=NQ

F=|y=o

W}=tR;|

UQQ@

|Q}oxH}Dv "6Vy=m |Q=PoQ=@ |xQwO pw] QO xm OW x_Lqt xOWs=Hv= |=yV}=tR; j@=]t "1|xQwO p=YD= 3 Qy ,=@} QkD wCU= xOWv xOy=Wt p=YD= |xvwtv 3 Qy QO|Dtw=ktxOWxDN=U FRP |=yCwt=N "Ov=xOQm |QBU Ctw=kt Ci= uwO@ =Q |Q=PoQ=@CLD |Rri |=yCwt=N =@ xU}=kt QO|@U=vt OQmrta |=Q=O R=UCUO CQwYx@Q}PBpmW FRP Cwt=N |=Q=O |xvwtv xm |Qw]x@ "OvDUy |}xNQJ |=yQ=@u=R}t x@ |D}iQ_ |xi=[= |=Q=O Q}PBpmW |Rri Cwt=N |=Q=O |xvwtv x@ C@Uv|xi=[= |=Q=O Q}PBpmWQ}e FRP Cwt=N |=Q=O |xvwtv x@ C@Uv w �18

"Ow@ �12 u=R}t x@ |D}iQ_|xvwtv |=Q@ (�u=�y) |Q}PBpmW?} Q[ 'xDiQoCQwY |=yV}=tR; |x}=B Q@ "2|=Q=O |xvwtv Q@=Q@ 1 26 w 1 15 ?}DQD x@ Q}PBpmW FRP Cwt=N |=Q=O

"CU= Q}PBpmWQ}e FRP Cwt=N |=Q=O |xvwtv w |Rri Cwt=NxO}UQ R}v �0 6 Q=Okt =D FRP |=yCwt=N QOVvQm xm O=O u=WvV}=tR;G}=Dv "3|=yCwt=N QO q=@ VvQm "CU= |}xt=vu}}; R=Ht Q}O=kt Q@=Q@ 1 5 xm 'CU=|=yCwt=N x@ C@Uv =yCwt=N u}= C} Rt |xOvyOu=Wv 'FRP R=UCUO

"CU= FRP hQ=aDtCwt=N |=Q=O |xvwtv xm O=O u=Wv Q}D `]kt u=QwO |wQ Q@ xOWs=Hv= |=y|UQQ@ "4xm 'CU= 0 058Rad `]kt u=QwO |x} w=R |xv}W}@ |=Q=O Q}PBpmW FRP

Cwt=N |=Q=O |xvwtv x@ C@Uv w �16 |Rri Cwt=N |=Q=O |xvwtv x@ C@Uv"OyO|t u=Wv V}=Ri= �2 Q}PBpmWQ}e FRP

|=Q=O Q}PBpmW FRP Cwt=N |=Q=O |xvwtv xm O=O u=Wv xOWs=Hv= C=ar=]t "5|xv}W}@ xm |wLv x@ 'CU= Qo}O |xvwtv wO x@C@Uv |QDq=@ |SQv= ?PHC}r@=k|xvwtv Q@=Q@ 1 1 xm &CU= 3610kN.mm 'xvwtv u}= |=Q@ |SQv= ?PH Q=OktQ}PBpmWQ}e FRP Cwt=N |=Q=O |xvwtv Q@=Q@ 1 18 w |Rri Cwt=N |=Q=O

"CU=

"=yxvwtv QO |ivt w C@Ft Qovr |xv}W}@ "6 pwOH(JSD) `HQt |xvwtv x@ C@Uv C=Q}}eD M�max M+

max xvwtvM�max ��� M+

max ��� (kN) (kN)

{ { 26 25 27 83 JSD

�9 52 +12 3 23 75 31 25 JFD

+6 �0 61 27 84 27 66 JFU

"hrDNt |=ypm}U QO xOW?PH |SQv= Q=Okt "16 pmW

'187kN.mm ?}DQD x@ JFU w JFD 'JSD |=yxvwtv |=Q@ |SQv= ?PH Q}O=kt|SQv= Q=Okt u}@ hqDN= �2 Ci} QO R= "CU= 48kN.mm w 194kN.mm

|=yxvwtv "O@=}|t V}=Ri= G} QOD x@ Qo}O |xvwtv wO =@ JFD |xvwtv QO xOW?PHQ}O=kt u}@ hqDN= |xv}W}@ xm |Qw]x@ 'OvDUy |tm hqDN= |=Q=O JFU w JSD

Q=Okt u} QDW}@ |=Q=O JFD |xvwtv "CU= 191kN.mm xvwtv wO |SQv= ?PH|=Q@ |SQv= ?PH Q=Okt |xv}W}@ xm |Qw]x@ 'CU= xvwtv 3 u}@ QO |SQv= ?PH1 18 w Q@=Q@ 1 1 ?}DQD x@ xm 'CU= 3610kN.mm '�7 Ci} QO QO xvwtv u}="CU= JFU w JSD |=yxvwtv |=Q@ �7 Ci} QO QO xOW?PH |SQv= |xv}W}@ Q@=Q@

�References� `@=vt1. Jalali, M., Sharbatdar, M.K., ChenJ.F., Jandaghi Alaee,

F., \Shear strengthening of RC beams using innova-tive manually made NSM FRP bars", Construction andbuilding materials, 36(11), pp.990-1000 (2012).

2. Sharbatdar, M.K. \Concrete columns and beams ein-forced with FRP bars and grids under monotonic andreversed cyclic loading", Ph.D. Thesis, University of Ot-tawa, Ottawa, Canada (2003).

3. Sharbatdar, M.K. and Saatcioglu, M. \Behavior of FRPreinforced concrete under simulated seismic loading",13th World Conference on Earthquake Engineering, Van-couver, B.C., Canada (2004).

4. Sharbatdar, M.K. and Saatcioglu, M. \Flexural behav-ior of FRP reinforced concrete beams under reversedcyclic loading", Fourth International Conference on Ad-vanced Composite Materials in Bridges and Structures,ACMBS-IV, Calgary, Canada (2004).

5. ACI Committee 440, Guide for the Design and Construc-tion of Concrete Reinforced with FRP Bars, ACI440.1R-03, American Concrete Institute, USA, 41 p. (2003).

6. Canadian Standards Association, S806-02, Design andConstruction of Building Components with Fiber-Reinforced Polymers, CSA, Rexdale Ontario (May 2002).

7. Japanese Society of Civil Engineers (JSCE), Recom-mendation for Design and Construction of ConcreteStructures Using Continuous Fiber Reinforcing Materi-als, Concrete Engineering Series 23, Tokyo (1997).

134

Page 11: Ovy R= xOWxDNU R UCUO a=O@= | yCwtN QF= y=oW tR ...sjce.journals.sharif.edu/article_776_f09004972ea806b8...Q =y ' h} Q u= Qt a | U Ovy t |:v i C W=OO = '1 / |xQ =t |xQwO FRP Note R=

"""wOvwr

=OOtL=

'Q=OD@QW

s_=mOtL

t

8. Nanni, A. \North America design guidelines for concretereinforcement and strengthening using FRP: Principles,applications, and unresolved issues", FRP Composites inCivil Engineering, 1, Conference proceeding, Hong Kong(2001).

9. Barris, C., Torris, L.., Turon, A. and Baena, M. \An ex-perimental study of the exural behavior of GFRP RCbeams and comparison with prediction models", Com-posite Structures, 91(3), pp. 286-295 (2009).

10. Ferreira, A., Camanho, P.P., Marques, A.T., Fernandes,A.A. \Modeling concrete beams reinforced with FRP re-bars", Composite Structures, 53, pp. 107-116 (2001).

11. Al-Salloum, Y.A., Alsayed, S.H., Almusallam, T.H. andSiddiqui, N.A. \Seismic behavior of FRP-upgraded ex-

terior RC beam-column joints", Concrete Repair, Re-habilitation and Retro�tting, Taylor & Francis Group,London, ISBN 978-0-415-46850-3 (2009).

12. Sharbatdar, M.K., Saatcioglu, M. and Benmokrane, B.\Seismic exural behavior of concrete connections re-inforced with CFRP bars and", Composite Structures,93(10), pp. 2439-2449 (2011).

13. Iranian Code of Practice for Seismic Resistant Design ofBuildings, Standard No. 2800, 3rd edition, Building andHousing Research Center (2004).

14. ACI Committee 318, |it Building Code Requirementsfor Structural Concrete (ACI 318-05) and Commentary(ACI 318R-05), Farmington Hills (MI): American Con-crete Institute (2005).

135