Luận văn thạc sĩ Kỹ thuật xây dựng: Phân tích ứng xử nứt do uốn của dầm bê tông cốt phi kim (GFRP)

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,max s r - NKRҧQJFiFKOӟQQKҩWJLӳDYӃWQӭW

H sm - biӃQGҥQJWUXQJEuQK FӫDFӕWWKpS

H cm - ELӃQGҥQJWUXQJEuQKFӫDErW{QJJLӳDFiFYӃWQӭW

(a) ;iFÿ͓QKKL XV͙EL͇Q G̩QJ JLͷDWKpSYjErW{QJ

7URQJF{QJWKӭF İsm - İcmÿѭӧF tính QKѭVDX

0,6 ct eff s t e p eff s eff s sm cm s s f t k

7URQJÿy ı s - ӭQJVXҩWNpRFӫDFӕWWKpSNKLWLӃWGLӋQEӏQӭWWUѭӡQJKӧSErW{QJ8/7WKu WKD\ıs EҵQJǻıp - ÿӝWKD\ÿәLӭQJVXҩWWURQJFiS8/7ÿѭӧFWtQKWӯPӕFELӃQ GҥQJ FӫD Er W{QJ EҵQJ NK{QJ WҥL WUөF WUӑQJ WkP FӫD FiS (JLDL ÿR̩Q decompression) e E E s / cm

A c,eff - GLӋQWtFKKLӋXTXҧFӫDErW{QJWURQJYQJNpRWtQKWѭѫQJWӵ&(%-FIB

A p - GLӋQWtFKFӫDWKpSFăQJWUѭӟFKD\VDXWURQJ$c,eff, mm 2 ȟ 1 - KӋVӕÿLӅXFKӍQKFѭӡQJÿӝEiPGtQKNӇÿӃQYLӋFNKiFQKDXFӫDÿѭӡQJNtQK thép: 1 s p

QӃXFKӍFyFiS8/7WKuȟ ȟ 1 ȟ - KӋ Vӕ NӇ ÿӃQ FѭӡQJ ÿӝ EiP GtQK FӫD WKpS ӭQJ OӵF WUѭӟF [iF ÿӏQK WKHR

%ҧQJ4 s - ÿѭӡQJNtQKFӕW WKpSOӟQQKҩWFӫDWKpSFKӏXOӵF p - ÿѭӡQJNtQKKRһFÿѭӡQJNtQKWѭѫQJÿѭѫQJWKpSӭQJOӵFWUѭӟF k t - KӋVӕNӇÿӃQҧQKKѭӣQJFӫD\ӃXWӕGjLKҥQKD\QJҳQKҥQFӫDWҧL WUӑQJWҧLQJҳQKҥQk t 0,6WҧLGjLKҥQk t 0,4)

&ӕWWUѫQYjWKpSVӧL Không iSGөQJ 0,3 0,15

(b) ;iFÿ͓QKNKR̫QJFiFKQͱWOͣQQK̭Ws r,max b1) 1ӃXNKRҧQJFiFKJLӳDKDLFӕW WKpSFKӏXOӵFWURQJYQJNpR 5 c 2 Đ ã d ăâ áạ r,max 3 1 2 4 / p,eff s k c k k k U (2.7) b1ӃXNKRҧQJFiFJLӳDKDLFӕWWKpSFKӏXOӵFWURQJYQJNpR 5 c 2 Đ ã

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(k 1 = 0.8 YӟLFӕWFyÿӝEiPGtQKFDR k 1 = 1.6 YӟLFӕWWKpSWUѫQ k 2 - KӋVӕNӇÿӃQVӵSKkQEӕFӫDELӃQGҥQJ

( k 2 = 0.5 YӟLFҩXNLӋQXӕQ k 2 = 1.0 YӟLFҩXNLӋQFKӏXNpRKRjQWRjQ

Trong tUѭӡQJKӧSNpROӋFKWkPKRһFSKkQEӕELӃQGҥQJFөFEӝk2 İ1İ2İ1 )

H1, H 2 - ELӃQGҥQJNpROӟQQKҩWYjQKӓQKҩW WҥLELrQFӫDWLӃW GLӋQ[HP[pWGӵD

WUrQWLӃWGLӋQQӭt k 3, k 4 - KӋVӕOҩ\OҫQOѭӧWOjYj

Hình 2.8: %ӅUӝQJYӃWQӭWw WURQJWLӃWGLӋQFҩXNLӋQ 2.3.3 Tiêu FKXҭQ+RD.Ǥ$&, 318, 1995)

ACI 318 (1995) JLӟL WKLӋX F{QJ WKӭF WtQK EӅ UӝQJ YӃW QӭW FKR GҫP %7&7 WUX\ӅQ WKӕQJ GӵDWUrQP{KuQKWKӵFQJKLӋPFӫDGergely ± Lutz (1973) QKѭVDX

WURQJÿy: w - EӅUӝQJYӃWQӭWOӟQQKҩWLQ d c - FKLӅXGj\EҧRYӋWӯWKӟFKӏXNpRQJRjLFQJ ÿӃQWkPFӕWWKpSJҫQQKҩWLQ ȕ - WӍVӕJLӳDNKRҧQJFiFKWӯPһWWUXQJKzDÿӃQPһWFKӏXNpRYjNKRҧQJ cách

WӯPһWWUXQJKzDÿӃQWUӑQJWkPOӟSWKpS, in f s - ӭQJVXҩWWURQJWKpSNVL

A - GLӋQtích YQJErW{QJFKӏXNpRFKLDFKRVӕFӕW thép trong vùng FKӏXNpR in 2

A- 7UөFWUXQJKzD B- 0һWErW{QJFKӏXNpR C- KRҧQJFiFKQӭWWKHR D- KRҧQJFiFKQӭWWKHR

$&,5ÿӅ[XҩWF{QJWKӭFWtQKEӅUӝQJYӃWQӭWFKRFҩXNLӋQFKӏXXӕQEr

W{QJFӕW)53GӵDWUrQF{QJWKӭFFӫD$&,[pWWKrPKӋVӕNӇÿӃQVӵNKiF

ELӋWYӅÿӝEiPGtQKJLӳDFӕW)53YӟLErW{QJVRYӟLFӕWWKpSWUX\ӅQWKӕQJ&{QJ

WKӭFWtQKWRiQEӅUӝQJYӃWQӭWFyGҥQJQKѭVDX

WURQJÿy: w - EӅUӝQJYӃWQӭWOӟQQKҩWPm d c - FKLӅXGj\EҧRYӋWӯWKӟ FKӏXNpRQJRjLFQJÿӃQWkPFӕW)53 JҫQQKҩW mm k b - KӋVӕNӇÿӃQPӭFÿӝEiPGtQKJLӳDFӕW)53YjErW{QJÿӕLYӟLFӕW)53

FyEiPGtQKNpPKѫQWKpSNb >ÿӕLYӟLFӕW)53FyEiPGtQKWӕWKѫQWKpS kb QӃXNK{QJFyJLiWUӏWKӵFQJKLӋPQrQOҩ\EҵQJ

E - WӍ Vӕ JLӳD NKRҧQJ FiFK Wӯ PһW WUXQJ KzD ÿӃQ PһW FKӏX NpR Yj NKRҧQJ FiFKWӯPһWWUXQJKzDÿӃQWUӑQJWkPOӟSFӕW)53 f f - ӭQJVXҩWWURQJFӕW)5303D

A - GLӋQWtFKKLӋXTXҧFӫDYQJErW{QJ[XQJTXDQKFӕW)53, mm 2

6RYӟLKѭӟQJGүQWtQKWRiQEӅUӝQJYӃWQӭWFӫD$&,5KѭӟQJGүQFӫD

ACI 440.1R (2006FyVӵNKiFELӋWOӟQ+ѭӟQJGүQWtQKWRiQEӅUӝQJYӃWQӭWFӫD

ACI 440.1R (2006) NK{QJGӵDYjRP{KuQKSKkQWtFKWKӵFQJKLӋPFӫD Gergely ±

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E Ek d ă á Đ ã â ạ (2.12) WURQJÿy: w - EӅUӝQJYӃWQӭWOӟQQKҩWPP

18 d c - FKLӅXGj\OӟSErW{QJEҧRYӋWtQKWӯWKӟFKӏXNpRQJRjLFQJÿӃQWkPFӕW )53JҫQQKҩWPP s - NKRҧQJFiFKJLӳDFiFFӕW)53PP k b - KӋVӕNӇÿӃQPӭFÿӝEiPGtQKJLӳDFӕW)53YjErW{QJFӕW)53FyEiP GtQK NpP KѫQ WKpSk b ! FӕW )53 Fy EiP GtQK WӕW KѫQ WKpSk b QӃX NK{QJFyVӕOLӋXWKӵFQJKLӋP k b =1,4)

E - WӍVӕJLӳDNKRҧQJFiFKWӯPһWWUXQJKzDÿӃQPһWFKӏXNpRYjNKRҧQJFiFK

WӯPһWWUXQJKzDÿӃQWUӑQJWkPOӟSFӕW)53 f f - ӭQJVXҩWWURQJFӕW)5303D

2.4.3 &{QJWKӭFWtQKFӫD Faza và GangaRao (1993)

Faza và GangaRao (1993) ÿm ÿӅ [XҩWF{QJ WKӭF WtQKEӅ UӝQJYӃWQӭWGӵD YjR P{ KuQK YұW Oê WKHR ÿy EӅ UӝQJ YӃW QӭW FӫD FҩX NLӋQ FKӏX XӕQ Er W{QJ FӕW )53 SKө WKXӝFYjRELӃQGҥQJOӟQQKҩWFӫDFӕW)53YjFKLӅXGjLÿRҥQWUѭӧWFӫDFӕW)53WURQJ ErW{QJF{QJWKӭFFyGҥQJQKѭVDX

W - EӅUӝQJYӃWQӭWOӟQQKҩWLnch f t ' 7,5 f c '

' f c - FѭӡQJÿӝFKӏXQpQFӫDErW{QJWҥLQJj\SVL

D - ÿѭӡQJNtQKFӫDFӕW FRP, inch

P m - ӭQJVXҩWEiPGtQKOӟQQKҩWSVL f fs - ӭQJVXҩWOӟQQKҩWWURQJFӕW)53WҥLFҩSWҧLWUӑQJVӱGөQJNVL

E f - mô-ÿXQÿjQKӗLFӫDFӕW)53NVL

A - GLӋQWtFKKLӋXTXҧFӫDYQJErW{QJ[XQJTXDQKFӕW)53, in 2

7ѭѫQJWӵQKѭF{QJWKӭFFӫD$&,503)F{QJWKӭFWtQKWRiQEӅUӝQJNKH QӭWFӫD,6,6FǊQJGӵDYjRF{QJWKӭFFӫD*HUJHO\± Lutz (1973), tuy nhiên FyWKrPSKҫQÿLӅXYuVӵNKiFELӋWEiPGtQKJLӳDFӕW)53YjErW{QJVRYӟLFӕWWKpS YjErW{QJ&{QJWKӭFFyGҥQJVDX

WURQJÿy: w - EӅUӝQJYӃWQӭWOӟQQKҩWPP d c - FKLӅXGj\OӟSErW{QJEҧRYӋWtQKWӯWKӟFKӏXNpRQJRjLFQJÿӃQWkPFӕW

A - GLӋQWtFKKLӋXTXҧYQJErW{QJFKӏXNpRPP 2 k b - KӋVӕNӇÿӃQPӭFÿӝEiPGtQKJLӳDFӕW)53YjErW{QJFӕW)53FyEiP

GtQK NpP KѫQ WKpSk b ! FӕW )53 Fy EiP GtQK WӕW KѫQ WKpSk b QӃX NK{QJFyVӕOLӋXWKӵFQJKLӋPk b = 1,2)

E - WӍVӕJLӳDNKRҧQJFiFKWӯPһWWUXQJKzDÿӃQPһWFKӏXNpRYjNKRҧQJFiFK

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U (2.17) tURQJÿy w k - EӅUӝQJYӃWQӭWOӟQQKҩWPP

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E ÿӕLYӟLWҧLWUӑQJQJҳQKҥQE 2 0,5 ÿӕLYӟLWҧLWUӑQJGjLKҥQKRһFWҧLWUӑQJ OһS d b - ÿѭӡQJNtQKFӕW FRP, mm; ȡ r - KӋVӕKjPOѭӧQJҧQKKѭӣQJPP f c,eff r

A c,eff - GLӋQWtFKKLӋXTXҧFӫDErW{QJWURQJYQJNpRWtQKWѭѫQJWӵ&(%-FIB

MC 90), mm 2 k 1 - KӋVӕNӇÿӃQÿһFWtQKEiPGtQKFӫDFӕW)53k 1 = 1,6; k 2 - KӋVӕNӇÿӃQVӵSKkQEӕFӫDELӃQGҥQJ

( k 2 = 0.5 YӟLFҩXNLӋQXӕQ k 2 = 1.0 YӟLFҩXNLӋQFKӏXNpRKRjQWRjQ

DӵDWUrQQӅQWҧQJF{QJWKӭFFӫD*HUJHO\± Lutz (1973), Toutanji và Saafi ÿmKLӋX FKӍQKOҥLF{QJWKӭFWtQKWRiQEӅUӝQJYӃWQӭWFKRFӕW)53EҵQJFiFK[pWWKrPҧQK KѭӣQJFӫDKjPOѭӧQJFӫDFӕW)53F{QJWKӭFWtQKWRiQEӅUӝQJYӃWQӭWQKѭVDX

WURQJÿy: w - EӅUӝQJYӃWQӭWOӟQQKҩWPP d c - FKLӅXGj\OӟSErW{QJEҧRYӋWtQKWӯWKӟFKӏXNpRQJRjLFQJÿӃQWkPFӕW )53JҫQQKҩWPP h 1 - NKRҧQJFiFKWӯWkPFӕW)53WURQJYQJFKӏXNpRWӟLWUөFWUXQJKzDPP

21 h 2 - NKRҧQJFiFKWӯELrQQJRjLFQJYQJFKӏXNpRWӟLWUөFWUXQJKòa, mm

U f - KjPOѭӧQJFӫDFӕW)53 f f - ӭQJVXҩWWURQJFӕW)5303D

A - GLӋQWtFKKLӋXTXҧvùng bê tông FKӏXNpR, mm 2

2.4.7 &{QJWKӭFWtQKFӫD6DOLEYj$EGHO-Sayed (2004)

Salib và Abdel-6D\HGGӵDWUrQF{QJWKӭFWKӵFQJKLӋPFӫD*HUJHOy ± Lutz (1973) QKѭQJFy[pWWKrPҧQKKѭӣQJFӫDFѭӡQJÿӝEiPGtQKFӕW)53YjӭQJVXҩW EiPGtQKFӫDFӕW)53ÿӃQEӅUӝQJYӃWQӭWF{QJWKӭFFӫDSalib và Abdel-6D\HGÿӅ [XҩWQKѭVDX

E u E Đ ã u ăăâ ááạ (2.19) Thay E s 29000ksi YjRF{QJWKӭF

, u b s và u b f , - FѭӡQJÿӝEiPGtQKFӫDWKpSYjFѭӡQJÿӝEiPGtQKFӫDFӕW)53

WURQJÿy: w - EӅUӝQJYӃWQӭWOӟQQKҩWPP d c - FKLӅXGj\OӟSErW{QJEҧRYӋtính WӯWKӟFKӏXNpRQJRjLFQJÿӃQWkPFӕW )53JҫQQKҩWPP

' f c - FѭӡQJÿӝFKӏX QpQFӫDErW{QJWҥLngày, MPa f f - ӭQJVXҩWOӟQQKҩWFӫDFӕW)5303a

A - GLӋQWtFKKLӋXTXҧFӫDYQJErW{QJ[XQJTXDQKFӕW)53, mm 2

Tiêu chuҭQ+RD.Ǥ$&,

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24 x LӇPFKӭQJOҥLFác F{QJWKӭFWíQKEӅUӝQJYӃWQӭWGҫPErW{QJFӕW)53ÿm FyQKұQ[pWYjÿiQKJLiPӭFÿӝFKtQK[iFFӫDWӯQJF{QJWKӭFGӵDWUrQNӃW TXҧWKӵFQJKLӋPWӯQJKLrQFӭXQj\YjFӫDFiFWiFJLҧNKiF x ĈӅ[XҩWKӋVӕEiPGtQKWKӵFQJKLӋPSKөFYөFKRWtQKWRiQEӅUӝQJNKHQӭW FӫDGҫPErW{QJFӕW*)53FyEӅPһWSKXQFiWGӵDWUrQNӃWTXҧWKӵFQJKLӋP FӫDQJKLrQFӭXQj\YjFӫDFiFWiFJLҧNKác; x LӇPFKӭQJOҥLFiFF{QJWKӭFWtQKEӅUӝQJNKHQӭWGR$&,5ÿӅ[XҩW Fy [pW ÿӃQ KӋ Vӕ EiP GtQK ÿm ÿѭӧF ÿӅ [XҩW GӵD WUrQ NӃW TXҧ WKӵFQJKLӋP

Bê t{QJVӱGөQJWURQJWKtQJKLӋPJӗPFiFWKjQKSKҫQVDX ;LPăQJ+ROFLP3&, ciWWӵQKLrQ, ÿi×2, YjSKөJLDAT2000 9ӟLÿӝEӅQWKLӃWNӃOj%FKLWLӃWFҩS SKӕLÿѭӧFWUuQKEj\WURQJ%ҧQJ4.1

%ҧQJ1: &KLWLӃWFҩSSKӕLErW{QJ

&ѭӡQJÿӝFKӏXQpQYjFKӏXNpRFӫDErW{QJÿѭӧF[iFÿӏQKGӵDYjRWKtQJKLӋPPүX KuQK OăQJ WUө Fy NtFK WKѭӟF ợ PP Ĉӝ VөW FӫD Er W{QJ ÿѭӧF WKLӃW NӃ YjR NKRҧQJP

/ҩ\PүXKuQKOăQJWUөYӟLPүXGQJÿӇ[iFÿӏQKFѭӡQJÿӝFKӏXQpQ f c ' và 3 PүX GQJ ÿӇ WKt QJKLӋP [iF ÿӏQK FѭӡQJ ÿӝ FKӏX NpR FKҿ ÿ{L f ct sp , ӃW TXҧ WKt QJKLӋPÿѭӧFWәQJKӧSYjR%ҧQJ

%ҧQJ2: ӃWTXҧWKtQJKLӋPQpQYjNpRPүXErW{QJ

&ѭӡQJÿӝ 0үX 0үX 0үX *LiWUӏ trung bình

&ѭӡQJÿӝFKӏXQpQ f c ' (MPa) 20,9 23,8 26 23,57

Cát vàng 617 (kg) ĈiOӟQ[ 1176 (kg)

Hình 4.1: 7KtQJKLӋP [iFÿӏQKFѭӡQJÿӝErW{QJ: (a) nén GӑFWUөFb) NpRFKҿ

Hình 4.2: 0үXFӕW*)53GQJFKRWKtQJKLӋPQpQGӑFWUөF

Hình 4.3: 0үXWKtQJKLӋPGQJFKRWKtQJKLӋPNpRGӑFWUөFFӕW GFRP (b) &ӕWVӧLWKӫ\WLQKGFRP) ĈӇ[iFÿӏQKFѭӡQJÿӝFKӏXNpRYjELӃQGҥQJFӫDFӕW*)53WDWLӃQKjQKWKtQJKLӋPNpRGӑFWUөFPүXWKӱFӕW*)53WKHRWLrXFKXҭQASTM D-3916-94D (1996) Giá

WUӏ Vӱ GөQJ WtQK WRiQ JLi WUӏ WUXQJ EuQK FӫD PүX WKӱ Qj\ &iF EѭӟF WKt QJKLӋP ÿѭӧFWәQJKӧSWURQJEҧQJVDX

%ҧQJ3: &iFEѭӟFWLӃQKjQKWKtQJKLӋP

- WKDQKVӧL WKӫ\WLQK*)53 ÿѭӡQJNtQKPP dài 700 mm

- ӕQJ QK{P UӛQJ Gҫ\ PP ÿѭӡQJ NtQK mm, dài 250 mm

- ĈһWWKDQK*)53YjRWkPӕQJQK{PYjÿ~QJYӟL FKLӅX GjL NKRҧQJ FiFK QHR OҫQ ÿѭӡQJ NtQK thanh);

- &KR NHR (SR[\ 6LNDGXU YjR ÿҫ\ ӕQJ QK{P YjJLӳWKDQK*)53FKRÿӃQNKLNHRFӭQJOҥL

- %ҧRTXҧQFiFWKDQK*)53ÿmÿѭӧFJҳQӕQJNLP ORҥL WURQJ ÿLӅX NLӋQ QKLӋW ÿӝ SKzQJ WKt QJKLӋP trong vòng JLӡ

- ĈһW PүX WKt QJKLӋP YjR Pi\ NpR YӟL FKLӅX GjL QJjPPӛLÿҫXOjPP

- 7LӃQ KjQK WăQJ WҧL FKR ÿӃQ NKL WKDQK *)53 Eӏ SKiKRҥL

- %LӇX ÿӗ TXDQ KӋ JLӳD OӵF Yj ELӃQ GҥQJ ÿm ÿѭӧF Pi\WtQKYӁYjOѭXOҥL

Thanh GFRP ÿѭӧF VҧQ [XҩW EӣL &{QJ W\ 3XOWUDOO ӣ &DQDGD 9ӟL FiF WK{QJ Vӕ NӻWKXұWÿѭӧFWyPWҳWWURQJ%ҧQJ:

%ҧQJ4: 7K{QJVӕNӻWKXұWFӕW*)53ÿѭӧF FXQJFҩSWӯ QKjVҧQ[XҩW ĈѭӡQJNtQKFӕWGFRP (mm) 16

HàPOѭӧQJNHRNӃWGtQK9LQ\OHVWHU 35

&ѭӡQJÿӝFKӏXNpR f fu * (MPa) 751

%LӃQGҥQJFӵFKҥQH * fu (Å) 1,56

Hình 4.4: tFKWKѭӟFPүXYjFKLӅXGjLQHRWKHRWLrXFKXҭQASTM D-3916-94D

.ӃWTXҧWKtQJKLӋPÿѭӧFWUuQKEj\WҥL%ҧQJ.4:

%ҧQJ5: ӃWTXҧWKtQJKLӋPFѭӡQJÿӝFKӏXNpRWKDQK*)53

&ѭӡQJÿӝFKӏXNpR f fu (MPa) 810,0 850,0 835,3 851,0 865,8 842,4

Hình 4.5: 7KtQJKLӋPNpRGӑFWUөFWKDQK*)53 YjNLӇXSKiKRҥLFӫDQy (c) &ӕWWKpSGӑFFKӏXOӵF YjFӕWÿDL

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%ҧQJ6: ӃWTXҧWKtQJKLӋPNpRPүXFӕWWKpS

&KѭѫQJ WUuQK WKӵF QJKLӋP ÿѭӧF WLӃQ KjQK WUrQ GҫP JӗP 8 GҫP Er W{QJ FӕWGFRP và 4 GҫP%7&7ÿӕLFKӭQJ CáFGҫPVӱGөQJErW{QJFyFҩSÿӝEӅQYjkích

WKѭӟFKuQKKӑFQKѭQKDXu250u3000 mmYjÿѭӧFFKLDOjPQKyP$%&Yj ' 0ӛL QKyP JӗP GҫP Er W{QJ FӕW )53 Yj GҫP %7&7 ÿӕL FKӭQJ YӟL KjP OѭӧQJFӕWGӑFFKӏXNpRQKѭQKDX&iFGҫPQKyP$%&Yj'FyKjPOѭӧQJFӕW GӑFOҫQOѭӧWOjYj7KpSÿDLÿѭӡQJNtQKPPtrong FiFGҫPÿѭӧF EӕWUtJLӕQJQKDXYӟLEѭӟFFӕWÿDLV = 200 mm ӣYQJJLӳDGҫPYjV

PP WURQJ YQJ JҫQ JӕL TKpS FҩX WҥR WURQJ PLӅQ QpQ ÿѭӧF Eӕ WUt WKDQK ÿѭӡQJNtQK2 mm (Hình 4.6)

Hình 4.7: 0һWFҳWQJDQJFӫDGҫPWKӱ

4.1.3 6ѫÿӗWKӱWҧLYjEӕWUtWKLӃWEӏÿRÿҥF

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%LӃQGҥQJNpRFӫDFӕW*)53FӕWWKpSYjELӃQGҥQJQpQErW{QJÿѭӧFÿREҵQJFҧP ELӃQÿLӋQWUӣVWUDLQJDXJH± 6*&iFFҧPELӃQÿLӋQWUӣÿRELӃQGҥQJFӕW*)53Yj FӕWWKpSÿѭӧFGiQWUrQEӅPһWFӫDFK~QJWUѭӟFNKLÿ~FGҫP%LӃQGҥQJQpQFӫDEr W{QJÿѭӧFÿRGӑFWKHRFKLӅXFDRFӫDGҫPQKҵPWKHRG}LYj[iFÿӏQKVӵGӏFKFKX\ӇQ FӫDWUөFWUXQJKzD6ӕOѭӧQJYjYӏWUtGiQFiFFҧPELӃQÿLӋQWUӣFKRFӕWGӑFFӕW

*)53YjFӕWWKpSYjFKRErW{QJÿѭӧFWKӇKLӋQWURQJHình 4.8, 4.9 và 4.10 Các FҧPELӃQÿLӋQWUӣ6*YjFiFFKX\ӇQYӏNӃ/9'7ÿѭӧFQӕLWUӵFWLӃSYӟLKӋWKӕQJ WKX QKұQ Yj [ӱ Oê Vӕ OLӋX %Ӆ UӝQJ YӃW QӭW ÿѭӧF ÿR EҵQJ NtQK KLӇQ YL TXDQJ KӑF PLFURVFRSHYjEӅUӝQJYӃWQӭWWUXQJEuQKÿѭӧFÿREҵQJWKѭӟFÿRÿӝJLmQGjLNӻ WKXұWVӕGLJLWDGHIRUPHWHUGӵDYjRNKRҧQJFiFKFiFFKӕWÿӗQJÿmÿѭӧFEӕWUt

Hình 4.8: 6ѫÿӗWKӱWҧLYjEӕWUtFiFGөQJFөWKtQJKLӋP

Hình 4.9: 6ѫÿӗEӕWUtFiFVWUDLQJDXJH6*ÿRELӃQGҥQJNpRFӕWGӑFFKӏXOӵFFӫD

Hình 4.10: 6ѫÿӗEӕWUtFiFVWUDLQJDXJH6*ÿRELӃQGҥQJQpQErW{QJFӫDGҫPWKt

7UuQKWӵÿ~FPүXGҫPWKtQJKLӋPÿѭӧFWLӃQKjQKWKHRFiFEѭӟFVDX

%˱ͣF *LDF{QJOҳSGӵQJFӕWSKDFӕWWKpSYjFӕW*)53

%˱ͣF 7LӃQ KjQK GiQ FiF FҧP ELӃQ WUӣ 6* OrQ WUrQ EӅ PһW FӕW GӑF FKӏX OӵF

*)53YjFӕWWKpSWҥLYӏWUtJLӳDGҫP(Hình 4.9)FKXҭQEӏFiFGөQJFөQKѭ Pi\WUӝQErW{QJPi\ÿҫPGL[HUDYұQFKX\ӇQErW{QJYjNKX{QKuQK OăQJWUөợPPGQJÿӇOҩ\PүXWKtQJKLӋPQpQErW{QJ

%˱ͣF 7LӃQKjQKÿәErW{QJPүXGҫPWKtQJKLӋPYjOҩ\PүXOăQJWUөợ mm

%˱ͣF %mRGѭӥQJGҫPYjPүXKuQKOăQJWUө

&iFEѭӟFÿ~FPүXWKtQJKLӋPÿѭӧFWKӇKLӋQWӯHình 4.11 ÿӃQ 4.16

Hình 4.11: *LDF{QJOҳSGӵQJFӕW*)53YjFӕWWKpS

Hình 4.12: *LDF{QJOҳSGӵQJFӕWSKDFӕWWKpS

Hình 4.15: Công WiFGiQVWUDLQJDXJHYjREӅPһWGҫPWKtQJKLӋP

Hình 4.16: &{QJWiFFKXҭQEӏÿәErW{QJGҫPWKtQJKLӋP 4.1.5 4X\WUuQKWKtQJKLӋP

'ҫPWKtQJKLӋPÿѭӧFJLDWҧLEҵQJNtFKWKӫ\OӵF/DU]HS7VҧQ[XҩWWҥL7k\%DQ1KDWKHRWӯQJFҩSWҧLPӝWFKRÿӃQNKLEӏSKiKRҥLKRjQWRjQ*LiWUӏPӛL FҩSWҧLSKөWKXӝFYjRWUҥQJWKiLOjPYLӋFFӫDGҫPGiá WUӏPӛLFҩSWҧLVӁÿѭӧFWăQJOrQ5 N16DXPӛLFҩSWҧLVӁJLӳWҧLWURQJWKӡLJLDQNKRҧQJ3 phút QKҵPWҥRVӵәQÿӏQKFKRNӃWTXҧÿӇWLӃQKjQKÿREӅchX\ӇQYӏELӃQGҥQJFӫDErW{QJFӕWthép KRһFFӕWGFRP) YjEӅ UӝQJNKHQӭWÿӗQJWKӡL JKLQKұQTXiWUuQKKuQKWKjQKYjSKiWWULӇQFӫDYӃWQӭW 7RjQEӝJLiWUӏÿRELӃQGҥQJErW{QJFӕWGӑFFӕW*)53YjFӕWWKpSFKX\ӇQ Yӏ FӫD GҫP ÿѭӧF WKX OҥL Yj [ӱ Oê WK{QJ TXD ÿӝ ÿҫX ÿR Nӻ WKXұW Vӕ 'DWD/RJJHU7'6NӃWQӕLYӟLPi\YLWtQK

Hình 4.17: %ӝWKXYj[ӱOêGӳOLӋXData Logger TDS303)

%ӅUӝQJYӃWQӭWÿѭӧFÿREҵQJNtQKO~STXDQKӑF0LFURVFRSHYjWKѭӟFÿRÿӝJLmQ dài Borletti ± 'HIRUPHWHUGRéVҧQ[XҩWWK{QJTXDFiFFKӕWÿӗQJÿѭӧFJҳQWUrQEӅ PһWFӫDGҫP

Hình 4.19: &{QJWiFÿREӅUӝQJYӃWQӭWEҵQJWKѭӟF%RUOHWWL± 'HIRUPHWHUYjEҵQJ kính lúp Microscope

&ҩSSKӕLYjYұWOLӋXErW{QJVӱGөQJWURQJWKtQJKLӋPWѭѫQJWӵQKѭWKtQJKLӋPGҫP ӣWUrQMөF

6ӱGөQJFӕWVӧLWKӫ\WLQK*)53FyEӅPһWSKXQFiWYjFӕWWKpSFyÿѭӡQJNtQK mm và 16 mm Hình 4.20 và Hình 4.21 &iFFӕW*)53YjFӕWKpSVӱGөQJWURQJWKt QJKLӋP ÿӅXFKXQJQKjVҧQ[XҩWYjFyFiFWK{QJVӕNӻWKXұWJLӕQJYӟLWKtQJKLӋP GҫP MөF

Hình 4.20: &ӕW*)53GQJFKRWKtQJKLӋPNpR± WUѭӧW

Hình 4.21: &ӕWWKpSGQJFKRWKtQJKLӋPNpR-WUѭӧW 4.2.2 0үXWKtQJKLӋPNpR

&KѭѫQJWUuQKWKtQJKLӋPNpR bond-slip FӕW*)53Yj WKpSÿѭӧFWLӃQ KjQK WUrQ 11 PүX JӗP5 PүXWKӱFӕW*)53 và 6 PүXWKӱFӕWWKpSFyÿѭӡQJNtQKPPYj

PP.tFKWKѭӟFPүXErW{QJÿӕLYӟLWKDQKÿѭӡQJNtQKOjợợPPYjÿӕL YӟLWKDQKÿѭӡQJNtQKPPOjợợPP

&KѭѫQJWUuQKWKtQJKLӋPÿѭӧFWKӵFKLӋQGӵDWUrQKѭӟQJGүQ$&I 440.3R4 (2004)

%r W{QJ KuQK NKӕL YX{QJ ÿѭӧF WҥR UD ÿӇ NpR WKDQK *)53 Yj WKpS NKӓL Er W{QJ

&KLӅXGjLÿRҥQ*)53YjWKpSÿѭӧFQHRWURQJErW{QJYӟLFKLӅXGjLL d = 5d b (Hình

4.22ӔQJ39&ÿѭӧFÿһWӣWUrQÿRҥQQHRQKҵPJLҧPWKLӇXFiFVӵFӕNK{QJPRQJ

PXӕQ OjPҧQKKѭӣQJÿӃQÿӝEiPGtQKFӫDWKDQKYjErW{QJ

&iFPүXWKӱÿѭӧFWKtQJKLӋPWUrQPi\kéo INSTRON9jFiFWKLӃWEӏÿRFKX\ӇQYӏ ÿѭӧF JҳQ WUrQ ÿҫX P~W FӫD WKDQK ÿӇ ÿR FKX\ӇQ Eӏ JLӳD Er W{QJ Yj WKDQK +uQK

&KX\ӇQYӏÿѭӧFWKXOҥLYj[ӱOêWK{QJTXDÿӝÿҫXÿRNӻWKXұWVӕ'DWD/RJJHU 7'6NӃW QӕLYӟLPi\YLWtQK7ӕFÿӝJLDWҧLOjPPSK~W

7UuQKWӵÿ~FPүXWKtQJKLӋPÿѭӧFWLӃQKjQKWKHRFiFEѭӟFVDX

%˱ͣF *LDF{QJOҳSGӵQJFӕWpha (Hình 4.24)

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%˱ͣF 7LӃQ KjQK ÿӏQK Yӏ Fӕ ÿӏQK WKDQK *)53 WKpS YjR WkP FӫD FӕW SKD JLӳ

%ҧQJ7: KêKLӋXFiFPүXWKӱvà ktFKWKѭӟFPүXErW{QJ

STT êKLӋXPүXWKӱ /RҥL thanh ĈѭӡQJ kính d b

tFKWKѭӟF PүXEr tông (mm)

&KLӅXGjL ÿRҥQQHR (mm)

Hình 4.22: &KLWLӃWvà NtFKWKѭӟFPүX Hình 4.23: %ӕWUtWKLӃWEӏÿRFKX\ӇQYӏ

Hình 4.24: *LDF{QJFӕWSKDYjFӕÿӏQKWKDQKWKpSYjWKDQK*)53

Hình 4.25: &{QJWiFÿәErW{QJGҫPWKtQJKLӋP

.ӃWTXҧWKtQJKLӋPFӫDPүXGҫPÿѭӧFWәQJKӧS trong %ҧQJ8

4.3.1 +uQKWKiLYӃWQӭWYjNLӇXSKiKRҥLFӫDFiFPүXGҫPWKtQJKLӋP

+uQKWKiLYӃWQӭWYjNLӇXSKiKRҥLFӫDPүXGҫPWKtQJKLӋPÿѭӧFWKӇKLӋQWURQJ các +uQK 4.27 ÿӃQ+uQK 4.30 4XD TXDQ ViW WKҩ\ UҵQJ KҫX KӃW FiF PүX GҫP WKtQJKLӋPFӕW*)53FyYӃWQӭWXӕQÿҫXWLrQ[XҩWKLӋQWҥLFҩSWҧLvào 7-12% JLiWUӏFҩSWҧi SKi KRҥLFӫD Qy ĈӕLYӟLFiF PүXGҫP%7&7ÿӕLFKӭQJ YӃW XӕQQӭWÿҫX WLrQ[XҩWKLӋQWҥLFҩSWҧLEҵQJ8-15% JLiWUӏFҩSWҧLSKiKRҥLFӫDQy 9ӏWUtYӃWQӭWÿҫXWLrQFӫD 12 PүXGҫPWKÕғQJKLr ҕPÿӅX[XkғWKLӋQWURQJYQJFKӏXXӕQFӫDGҫP QҵPJLӳD KDL ÿLӇP ÿһW OӵF Yj KuQK GҥQJ FӫD YӃW QӭW YX{QJ JyF YӟL FӕW GӑF FKӏX OӵF

(+uQK4.27 ÿӃQ +uQK4.30)7LӃSWөFWăQJWҧLEӅUӝQJYӃWQӭWÿҫXWLrQSKiWWULӇQ ÿӗQJ WKӡL [XҩW KLӋQ WKrP QKLӅX YӃW QӭW khác WURQJ YQJ FKӏX XӕQ ÿRҥQ JLӳD KDL ÿLӇPÿһWOӵFYjlan sang nhӏSGҫPFҳW ÿRҥQWӯÿLӇPÿһWOӵFÿӃQJӕL WӵD) Quan sát FiFYӃWQӭWFӫDGҫPWKҩ\UҵQJVӕOѭӧQJYjEӅUӝQJYӃWQӭWFӫDGҫP*)53ÿӅXOӟQ KѫQVRYӟLGҫPFӕWWKpS.LӇXSKiKRҥLFKӫÿҥRFӫDWҩWFҧFiFPүXGҫPWKtQJKLӋP OjXӕQNӃWKӧSYӟLErW{QJEӏQpQYӥWҥLYQJQpQӣJLӳDQKӏSGҫP7UrQFiFGҫP

*)53[XҩWKLӋQFyYӃWQӭWWKHRGҥQJEyFWiFKÿӭWTXmQJFKҥ\VRQJVRQJGӑFWKHRFӕW*)53WURQJYQJXӕQWҥLFҩSWҧLWӯÿӃQJLiWUӏFӫDFҩSWҧLSKiKRҥL ĈLӅX Qj\ FKR WKҩ\Fy VӵWUѭӧWFӫD FӕW*)53WURQJ Er W{QJ1JX\rQ QKkQ FӫD VӵWUѭӧWFyWKӇJLҧLWKtFKOjGRVӵEiPGtQKFӫDFӕW*)53YӟLErW{QJNK{QJÿѭӧFWӕW

%ҧQJ8: ӃWTXҧWKtQJKLӋPFӫDPүXGҫP

(Å H cr,conc Å H cr,bar Å GFRP-A1-1,34 1,34 10 104 0,02 0,82 0,9 5,1 0,43 GFRP-A2-1,34 1,34 10 95 0,02 1,2 1,1 3,27 0,71 SA-1,34 1,34 15 100 0,02 0,3 1,3 3,87 0,57 GFRP-B1-2,01 2,01 10 105 0,02 0,72 0,9 5,04 0,2 GFRP-B2-2,01 2,01 10 105 0,02 0,7 0,9 3,55 0,28 SB-2,01 2,01 15 138 0,02 0,32 1,2 3,63 0,4 GFRP-C1-2,68 2,68 10 130 0,01 0,7 0,6 3,93 0,16 GFRP-C2-2,68 2,68 10 145 0,02 0,8 0,7 4,99 0,36 SC-2,68 2,68 15 150 0,02 0,4 1,0 3,57 0,31 GFRP-D1-3,35 3,35 10 140 0,02 0,8 0,7 3,27 0,16 GFRP-D2-3,35 3,35 10 150 0,02 0,64 0,9 3,92 0,16 SD-3,35 3,35 15 180 0,02 0,3 1,0 2,79 0,39

U - KjPO˱ͫQJF͙WG͕FFK͓XO͹F, %;

P cr - W̫LWU͕QJ Jk\QͱW, kN;

P u - W̫LWU͕QJSKiKR̩L, kN; w cr - E͉U͡QJY͇Wÿ̯XWLrQ[X̭WKL Q, mm; w u - E͉U͡QJY͇WQͱWF͹FK̩Q mm;

G cr - ÿ͡Y}QJFͯDG̯PW̩LWKͥLÿL͋P[X̭WKL QY͇WQͱWÿ̯XWLrQPP

H cr,conc - EL͇QG̩QJErW{QJW̩LWKͥLÿL͋P[X̭WKL QY͇WQͱWÿ̯XWLrQÅ;

H cr,bar - EL͇QG̩QJF͙W*)53KD\F͙WWKpSW̩LWKͥLÿL͋P[X̭WKL QY͇WQͱWÿ̯X tiên, Å

Hình 4.27: LrѴXSKDғKRD ҕLYDҒKÕҒQKWKDғLYrғWQѭғWFXѴDGkҒPQKyP$(ȡ 1,34 %)

Hình 4.28: LrѴXSKDғKRD ҕLYDҒKÕҒQKWKDғLYrғWQѭғWFXѴDGkҒPQKRғP%(ȡ 2,01 %)

Hình 4.29: LrѴXSKDғKRD ҕLYDҒKÕҒQKWKDғLYrғWQѭғWFXѴDGkҒPQKRғP&(ȡ 2,68 %)

Hình 4.30: LrѴXSKDғKRD ҕLYDҒKÕҒQKWKDғLYrғWQѭғWFXѴDGkҒPQKRғP'(ȡ 3,34 %)

+jPOѭӧQJFӫDFӕWGӑFFKӏXNpRҧQKKѭӣQJÿiQJNӇÿӃQKuQKWKiLFӫDYӃWQӭWYj NLӇXSKiKRҥLFӫDFiFPүXGҫPWKtQJKLӋPĈӕLYӟL PүXGҫPErW{QJFӕW*)53 GҫP QKyP $ ȡ NLӇX SKi KRҥL FӫD GҫP Oj XӕQ WKXҫQ W~\ (Hình 4.27),

QKѭQJNKLWăQJKjPOѭӧQJOrQȡ ± GҫPQKyP%), ȡ

44 ± QKyP&Yjȡ ± nhóm D) NLӇXSKiKRҥLFXѴDGkҒPÿmFyVӵ[HQ OүQ JLӳDSKiKRҥLXӕQYjSKiKRҥLFҳW(Hình 4.28 ÿӃQ 4.30)

THÍ N*+,ӊ0.e275ѬӦ7&Ӕ77+e39ơ&Ӕ7*)53%21'-SLIP TEST)

Ĉӄ ;8Ҩ7 +ӊ 6Ӕ %ẩ0 'ậ1+ 9ơ +,ӊ8 &+ӌ1+ &é1* 7+Ӭ& &Ӫ$ $&,5&+275ѬӠ1*+Ӧ3&Ӕ7*)53&ẽ%ӄ0Һ73+81&ẩ7

ĈӅ[XҩWKӋVӕEiPGtQKWKӵFQJKLӋPk b FKRFӕW*)53FyEӅPһWSKXQ cát

5.3.1 ĈӅ[XҩW KӋVӕEiPGtQK WKӵFQJKLӋP k b FKRFӕW*)53FyEӅPһWSKXQ cát

+ӋVӕEiPGtQKk b chRWKҩ\VӵNKiFELӋWYӅNKҧQăQJEiPGtQKJLӳDFӕW*)53YjEr W{QJVRYӟLFӕWWKpSYjErW{QJ+ӋVӕQj\ÿѭӧFÿӅ[XҩWGӵDWUrQWKtQJKLӋPNpR- WUѭӧW%RQG-VOLSWHVWÿmÿѭӧFWKӵFKLӋQӣ&KѭѫQJ, 0өF

KӃWTXҧWKtQJKLӋP FKRWKҩ\FѭӡQJÿӝEiPGtQKWUXQJEuQKFӫDFӫDPүXWKtQJKLӋP FӕWWKpSOӟQKѫQ2 OҫQFѭӡQJÿӝEiPGtQKWUXQJEuQKFӫD PүX WKtQJKLӋP FӕW

*)531KҵPNӇÿӃQҧQKKѭӣQJFӫD \ӃXWӕWKLF{QJWKӵFWӃӣKLӋQWUѭӡQJKӋVӕ Qj\ÿѭӧFQKkQWKrPYӟLKӋVӕWKLF{QJKLӋQWUѭӡQJk ht = 1.1 (EC 0, 1990) 9ӟLNӃW TXҧQj\KӋVӕEiPGtQKFKRWUѭӡQJKӧSFӕWEӅPһWSKXQFiWÿӅ[XҩWOjk b = 1.1

&{QJWKӭFWtQKWRiQEӅUӝQJYӃWQӭWWKHRWLrXFKXҭQ$&,5ÿӕLYӟLFӕW

WURQJÿy: w - EӅUӝQJYӃWQӭWOӟQQKҩWPP d c - FKLӅXGj\OӟSErW{QJEҧRYӋtính WӯWKӟFKӏXNpRQJRjLFQJÿӃQWkPFӕW FRP JҫQ QKҩWPP s - NKRҧQJFiFK JLӳDFiF FӕW FRP, mm k b - KӋVӕNӇÿӃQPӭFÿӝEiPGtQKJLӳDFӕW*)53EӅPһWSKXQFiWYjErW{QJ k b =1,1

E - WӍVӕJLӳDNKRҧQJFiFKWӯPһWWUXQJKzDÿӃQPһWFKӏXNpRYjNKRҧQJFiFK WӯPһWWUXQJKzDÿӃQWUӑQJWkPOӟSFӕWGFRP f f - ӭQJVXҩWWURQJFӕWGFRP, MPa

5.3.2 LӇPFKӭQJOҥLF{QJWKӭFWtQKEӅUӝQJYӃW QӭWFӫD$&,5Fy [pWÿӃQKӋVӕEiPGtQKÿmÿѭӧFÿӅ[XҩWGӵDWUrQNӃWTXҧWKӵFQJKLӋP

.ӃWTXҧNLӇPFKӭQJ F{QJWKӭFYӟLKӋVӕEiPGtQKKLӋXFKӍQKÿѭӧFWәQJKӧSWURQJ

%ҧQJ4 và 5.5&iFGҫPWKӵFQJKLӋPGQJWURQJNLӇPFKӭQJFyFӕWGӑFFKӏXNpR

YӟLEӅPһWSKXQFiWJӗP GҫPFӫDWiFJLҧGҫPFӫD:DQJYj%HUODELYj

%ҧQJ4: 7ӹVӕEӅUӝQJYӃWQӭWWKHROêWKX\ӃWvà WKӵFQJKLӋPӣWUҥQJWKiLJLӟLKҥQVӱ

Tên bài báo tKLӋXGҫP /RҥL thanh và

(mm) w serv,pred /w serv,exp Ĉ Ӆ[ XҩWKӋ Vӕ k b = 1,1 A C I 440 1 R (2006 ) ISI S (200 7) C N R D T 2 03 (2006 ) T outa nji và Saafi ( 2000) ) A bd el -Sayed (2004)

GFRP-A1-1,34 GFRP - phun cát 0,40 1,93 2,45 2,35 3,10 1,53 1,50 GFRP-A2-1,34 GFRP - phun cát 0,40 1,93 2,45 2,35 3,10 1,53 1,50 GFRP-B1-2,01 GFRP - phun cát 0,20 2,65 3,35 2,80 3,10 1,50 1,80 GFRP-B2-2,01 GFRP - phun cát 0,22 2,41 3,05 2,55 2,82 1,36 1,64 GFRP-C1-2,68 GFRP - phun cát 0,18 1,78 2,28 1,33 1,56 0,61 0,83 GFRP-C2-2,68 GFRP - phun cát 0,14 2,29 2,93 1,71 2,00 0,79 1,07 GFRP-D1-3,35 GFRP - phun cát 0,10 2,60 3,30 1,80 2,10 0,80 1,20

G2N0 GFRP - phun cát 0,22 5,05 6,41 6,59 0,36 9,77 4,23 G4N0 GFRP - phun cát 0,07 4,71 6,00 6,14 4,86 4,57 3,86 C2N0 GFRP - phun cát 0,20 2,10 2,70 2,75 3,80 4,10 1,75

P8G-1 GFRP - phun cát 0,25 1,23 1,57 2,72 2,28 1,12 1,76 P8G-2 GFRP - phun cát 0,32 0,93 1,18 2,03 1,69 0,84 1,31 P4G-1 GFRP - phun cát 0,31 2,42 3,08 2,87 2,74 1,48 1,84 P4G-2 GFRP - phun cát 0,48 1,90 2,41 2,25 2,23 1,17 1,46

*LiWUӏWUXQJEuQK0HDQ 2,42 3,08 2,87 2,55 2,23 1,84 +ӋVӕELӃQWKLrQ&29 0,48 0,47 0,54 0,42 1,11 0,53

%ҧQJ5: 7ӹVӕEӅUӝQJYӃWQӭWWKHROêWKX\ӃWvà WKӵFQJKLӋPӣWUҥQJWKiLJLӟLKҥQ

EӅPһWWKDQK w u,exp (mm) w u,pred /w serv,exp Ĉ Ӆ[XҩW KӋ Vӕ k b = 1,1 A C I 440.1R (2006 ) ISIS (2 007) C N R D T 203 (2006 ) T outanj i và Saafi ( 200 0) ) A bd el -S ay ed (2004 )

GFRP-A1-1,34 GFRP - phun cát 0,82 2,50 3,17 3,05 4,10 2,00 1,96 GFRP-A2-1,34 GFRP - phun cát 1,20 1,81 2,31 2,21 2,98 1,45 1,43 GFRP-B1-2,01 GFRP - phun cát 0,90 2,14 2,72 2,29 2,59 1,22 1,48 GFRP-B2-2,01 GFRP - phun cát 0,70 2,26 2,87 2,41 2,73 1,29 1,56 GFRP-C1-2,68 GFRP - phun cát 0,64 1,83 2,33 1,36 1,67 0,66 0,88 GFRP-C2-2,68 GFRP - phun cát 0,80 1,46 1,86 1,09 1,34 0,53 0,70 GFRP-D1-3,35 GFRP - phun cát 0,80 1,09 1,39 0,75 0,88 0,33 0,48

G2N0 GFRP - phun cát 0,96 2,30 2,94 3,01 6,11 4,49 1,94 G4N0 GFRP - phun cát 0,43 1,91 2,42 2,47 3,44 1,86 1,60 C2N0 GFRP - phun cát 1,40 1,05 1,34 1,38 3,49 2,05 0,89

P8G-1 GFRP - phun cát 0,96 1,17 1,49 2,58 2,35 1,06 1,67 P8G-2 GFRP - phun cát 0,97 1,20 1,53 2,64 2,41 1,09 1,70 P4G-1 GFRP - phun cát 0,86 3,02 3,84 3,59 3,72 1,84 2,31 P4G-2 GFRP - phun cát 1,06 2,31 2,94 2,75 2,85 1,41 1,77

*LiWUӏWUXQJEuQK0HDQ 1,86 2,37 2,26 2,90 1,52 1,46 +ӋVӕELӃQWKLrQ&29 0,32 0,32 0,36 0,44 0,66 0,36

Hình 5.10: LӇPFKӭQJF{QJWKӭF ÿӅ[XҩW WtQKWRiQEӅUӝQJYӃWQӭW ӣWUҥQJWKiL

Hình 5.11: LӇPFKӭQJF{QJWKӭF ÿӅ[XҩW WtQKWRiQEӅUӝQJYӃWQӭW ӣWUҥQJWKiL

.ӃWTXҧVRViQKFKӍUDUҵQJF{QJWKӭFÿӅ[XҩWYӟLKӋVӕk b KӋVӕ GӵDYjRWKt QJKLӋPNpR± WUѭӧWFKRNӃWTXҧViWWӕWKѫQFiF F{QJWKӭFFӫD$&,5 ISIS (2007), CNR DT 203 (2006)ĈLӅXQj\WKӇKLӋQTXDJLiWUӏWUXQJEuQK0HDQ

Yj KӋ VӕELӃQWKLrQ&29 WѭѫQJӭQJFӫD WӹVӕ w s v pred er , / w s v er ,exp WKXÿѭӧFWӯF{QJ WKӭF ÿӅ[XҩWOj và 0,49 %ҧQJ)

Hình 5.12, 5.13 và 5.14 WKӇKLӋQTXDQKӋOӵc ± EӅUӝQJYӃWQӭWÿѭӧFWtQKWKHRF{QJ

WKӭFFӫD$&,5,6,6, CNR DT 203 (2006), Salib và Abdel- Sayed (2004), Toutanji và Saafi (2000) và F{QJWKӭFKLӋXFKӍQKYӟL KӋVӕ bám dính k b ӃWTXҧGӵÿRiQFiFF{QJWKӭFÿѭӧFVRViQKYӟLNӃW TXҧWKӵFQJKLӋPFӫD

7 PүX GҫP WKt QJKLӋP FӫD FKtQK WiF JLҧ Yj 7 PүX GҫP FӫD Wang and Belarbi (2004) và LeHYjFӝQJVӵ7ҩWFҧFiFGҫPÿӅXVӱGөQJFӕW*)53YӟLEӅPһW ÿѭӧFSKXQFiW.ӃWTXҧFKRWKҩ\UҵQJ JLiWUӏEӅUӝQJYӃWQӭWWKHRF{QJWKӭFKLӋu FKӍQKFKRNӃWTXҧWӕW

Hình 5.12: 4XDQKӋOӵF± EӅUӝQJYӃWQӭWWKӵFQJKLӋPYjOêWKX\ӃWFӫD7 PүXGҫP

%7FӕW*)53FyEӅPһWSKXQFiWWӯWKtQJKLӋPFӫDFKtQKWiFJLҧ

Hình 5.13: 4XDQKӋOӵF± EӅUӝQJYӃWQӭWWKӵFQJKLӋPYjOêWKX\ӃWFӫD3 PүXGҫP

%ӅUӝQJYӃWQӭW w (mm) Hình 5.14: 4XDQKӋOӵF± EӅUӝQJYӃWQӭWWKӵFQJKLӋPYjOêWKX\ӃWFӫD mүXGҫP%7

'ӵDWUrQNӃWTXҧNKҧRViWWKӵFQJKLӋPFӫDGҫP%7&7YjFӕW)53YjNӃWTXҧWӯ SKkQWtFKOêWKX\ӃWPӝWVӕNӃWOXұQGӵNLӃQFyWKӇU~WUDQKѭVDX x %rҒU{ ҕQJYrғWQѭғWFXѴDGkҒPErW{QJF{ғW*)53OѫғQKѫQWUXQJEuQKWӯ ÿӃQ5 OkҒQVR YӟLErҒU{ ҕQJYrғWQѭғWGkҒP%7&7 7ӕFÿӝSKiWWULӇQQӭWFӫDGҫPErW{QJFӕW

**)53QKDQKKѫQVRYӟLGҫP%7&7 7ăQJKDҒPOѭѫҕQJF{ғWGR ҕFOjPJLҧPÿDғQJ NrѴErҒU{ ҕQJYrғWQѭғWFXѴDGkҒPErW{QJF{ғW*)53YDҒF{ғWWKHғS WX\QKLrQҧQKKѭӣQJ cӫDKjPOѭӧQJF{WGӑFÿӃQEӅUӝQJYӃWQӭWFӫDGҫPFӕW*)53UӓQpWYjPҥQKPӁ KѫQ

- WURQJJLDLÿRD ҕQVѭѴGX ҕQJ , ErҒU{ ҕQJYrғWQѭғWGkҒPErW{QJF{ғW*)53JLDѴPWӯ 48% ÿӃQ 74% YjGҫP%7&7JLҧP[ҩS[Ӎ 25% NKLWăQJKDҒPOѭѫҕQJWӯ ÿӃQ 150%

- WURQJJLDLÿRҥQSKiKRҥL, ErҒU{ ҕQJYrғWQѭғWGkҒPErW{QJF{ғW*)53JLDѴPWӯ 34% ÿӃQ49% YjGҫP%7&7JLҧPÿӃQ 18% NKLWăQJKDҒPOѭѫҕQJWӯ50% ÿӃQ x KRҧQJFiFKQӭWOӟQQKҩWFӫDGҫPErW{QJFӕW*)53OӟQKѫQGҫP%7&7 NKRҧQJ 1,3 ÿӃQ1,88 OkҒQ +jPOѭѫ ҕQJF{ғWGR ҕFFRғDѴQKKѭѫѴQJNK{QJOѫғQÿrғQNKRDѴQJFDғFK QѭғWOѫғQQKkғWFXѴDGkҒPF{ғW*)53QKѭQJFRғDѴQKKѭѫѴQJÿDғQJNrѴÿ{ғLYѫғLGkҒP%7&7 7ăQJKDҒPOѭѫҕQJWӯ 50% ÿӃQ 150%, NKRҧQJFiFKQӭWOӟQQKҩWGҫPFӫD*)53 WăQJQKҽWӯ3% ÿӃQ8%, tURQJNKLGkҒP%7&7WăQJ[ҩS[Ӎ30% ÿӃQ40%; x +jPOѭӧQJFӕW*)53YjFӕWWKpS ҧQKKѭӣQJ QKӓ WѫғLNKDѴQăQJNKDғQJQѭғWFXѴD GkҒPWURQJWKtQJKLӋPQj\; x 'kҒPErW{QJF{ғW*)53FRғFKX\rѴQYL ҕOѫғQKѫQÿDғQJNrѴVRYѫғLGkҒP%7&7 +jP Oѭѫ ҕQJF{ғWGR ҕF FyҧQKKѭӣQJOӟQÿӃQFKX\ӇQYӏWURQJGҫPErW{QJFӕW*)53Yj F{ғWWKHғS .KLWăQJKDҒPOѭѫҕQJF{ғWGR ҕF , FKX\rѴQYL ҕWURQJGkҒPErW{QJF{ғW*)53YDҒ

%7&7ÿrҒXJLDѴPQKѭQJFKX\rѴQYL ҕWURQJGkҒPErW{QJF{ғW*)53JLDѴPQKDQKKѫQ :

- WURQJJLDLÿRD ҕQVѭѴGX ҕQJ, FKX\rѴQYL ҕFXѴDGkҒPErW{QJF{ғW*)53JLDѴPWӯ 29%, ÿӃQ52%, YjGҫP%7&7JLҧPWӯÿӃQ

- WURQJJLDLÿRD ҕQSKDғKRD ҕL , FKX\ӇQYӏGkҒPErW{QJF{ғW*)53JLDѴPWӯ 29,6%, ÿӃQ 52,7% YjGҫP%7&7JLҧPWӯÿӃQ x &ѭӡQJÿӝEiPGtQKWUXQJEuQKFӫDFӕW*)53FyEӅPһWSKXQFiWGQJWURQJWKt QJKӏrPQj\QKӓKѫQVRYӟLFӫDFӕWWKpS[ҩS[Ӎ02 OҫQ x 7URQJ FiF F{QJ WKӭF ÿm Fy F{QJ WKӭF FӫD Toutanji và Saafi (2000), Salib và Abdel-Sayed (2004) FKR NӃW TXҧ ViW YӟL WKӵF QJKLӋP QKҩW, YӟL JLi WUӏ 0HDQ 1,54 và COV = 0 F{QJ WKӭF FӫD 6DOLE Yj Abdel-6D\HG Yj JLi WUӏ 0HDQ Yj&29 F{QJWKӭFFӫD7RXWDQMLYj6DDIL7X\QKLrQKDLF{QJWKӭF Qj\Fy[XKѭӟQJFKRNӃWTXҧNK{QJDQWRjQWURQJWUѭӡQJKӧSGҫPFyKjPOѭӧQJ FӕWGӑFOӟQKѫQ &{QJWKӭFFӫDSalib và Abdel-Sayed (2004) FzQFKRNӃWTXҧ NK{QJDQWRjQNKLGҫPFyKjPOѭӧQJFӕWGӑFEpKѫQ&{QJWKӭFFӫD$&, 440.1R (2006), CNR DT Yj,6,6FKRNӃWTXҧWKLrQYӅDQWRjQ x &{QJWKӭFKLӋXFKӍQKWӯ$&,5YӟLKӋVӕEiPGtQKWKӵFQJKLӋPk b

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[1] CEB-FIB 2007 Design and use of fibre reinforced polymer reinforcement (FRP) in reinforced concrete structures Technical report on the prepared by a working party of the Task Group 9.3, 173p

[2] Comitte Euro international du Beton 1998 CEB ± FIP Model Code 1990 Thomas Telford, 462p

[3] Brussels 2004 EC2 - Eurocode 2: Design of Concrete Structures Part 1-1: General Rules and Rules for Buildings, European Committee for Standardization, 225p

[4] ACI Committee 318 2008 Building code requirements for structural concrete and commentary, reported by ACI 318-08, 471p

[5] ACI Committee 440 2003 Guide for the design and construction of concrete reinforced with FRP bars ACI 440.1R-03, 42p

[6] ACI Committee 440 2006 Guide for the design and construction of concrete reinforced with FRP Bars Farmington Hills, Mich, ACI 440.1R-06, 44p [7] ACI Committee 440 2004 Guide test methods for fiber-reinforced polymers (FRPs) for reinforcing or strengthening concrete structures ACI 440.3R-04, 35p

[8] Adorján Borosnyói 2002 Serviceability of CFRP prestressed concrete beams Ph.D Thesis, Budapest University of Technology and Economics Faculty of Civil Engineering, 1-285p

[9] Canadian Standards Association (CSA), (2002) Design and construction of building components with fibre polymers Concrete Design Handbook, Canadian Standard S806 ± 02, Toronto, 177p

[10] ISIS Canadian Research Network (ISIS), (2007) Reinforcing Concete Structures with Fibre Reinforced Polymers, ISIS Canadian Corporation, Canada, 151p

[11] M Baena, Li Torres, A Turon, C.Barris 2009 Experiment study of bond

89 behaviour between concrete ang FRP bars using a pull-out test Composite Structures (ELSEVIER), 286 ±295p

[12] George Morcous 2012 Bond Strength of GFRP Bars by Pullout Testing University of Nebraska-Lincoln, Omaha, Nebraska, 14p

[13] C.Barris, Li Torres, A Turon, M Baena, A Catalan 2009 An experiment study of the flexural behaviour of GFRP RC beams and comparison with prediction models Composite Structures, 784 ±797p

[14] Sameh R.Salib and George Abdel-Sayed 2004 Prediction of Crack Width for Fiber-Reinforced Polymer-Reinforced Concrete Beams ACI Structural Journal, 101 (4), 532 ± 536p

[15] CNR DT203-06 2006 Guide for the Design and Construction of Concrete Reinforced with FRP Bars Italian National Research Council, Rome, Italy, 35p

[16] Houssam Toutanji and Yong Deng 2003 Deflection and crack-width prediction of concrete beams reinforced with glass FRP rods ELSEVIER Construction and Building Materials, 17, 69-74p

[17] Ehab EI-Salakawy, Chakib Kassem and Brahim Benmokrane.2002.Flexural behaviour of oncrete beams reinforced with Carbon FRP Composite bars Concrete Design Handbook, Canadian Standard, 7p

[18] M Pecce, G Manfredi and E Cosenza 2000 Experimental response and code models of GFRP RC Beams in bending Journal of Composites for Construction ASCE, 4 (4), 182 ± 190p

[19] Houssam A Toutanji and Mohamed Saafi 2000 Flexural behaviour of concrete beams reinforced with Glass Fiber - Reinforced Polymer (GFRP) bars ACI Structural Journal, 100 (6), 712 ± 719

[20] H Wang and A Belarbi 2004 Flexural behaviour of Fiber-Reinforced-Concrete Beams Reinforced with FRP Rebars FRPRCS SP-230-51, 895-914p

[21] Radhouane Masmoudi, Michèle Thériault and Brahim Benmokrane 1998 Flexural Behaviour of Concrete Beams Reinforced with Deformed Fiber Reinforced Plastic Reinforcing Rods ACI Structural Journal, 95 (60), 665 ± 675p

[22] 9}/r1JӑFĈLӅQҦQKKѭӣQJFӫDP{-PHQTXiQWtQKWLӃWGLӋQTXLÿәL ÿӃQ ÿӝ Y}QJ FӫD GҫP Er W{QJ FӕW )53 /XұQ YăQ WKҥF Vƭ 7UѭӡQJ ĈҥL KӑFBách NKRD73+ӗ&Kt0LQK

8.1 .ӃWTXҧWKtQJKLӋPNpRGӑFWUөFFӫDWKpS:

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*LiWUӏÿӗQJKӗÿR FKX\ӇQYӏYӏWUt

*LiWUӏÿӗQJKӗÿRELӃQGҥQJEr

*LiWUӏÿӗQJKӗÿR ELӃQGҥQJ*)53Yӏ trí

Ghi chú: - 9͇WQͱWÿ̯XWLrQ[X̭WKL QͧF̭SW̫L P = 10 kN

- %͉U͡QJY͇WQͱWZÿ˱ͫFÿRE̹QJNtQKKL͋PYL

- +L QW˱ͫng splitting [̫\ UDW̩LF̭S W̫L3 = 35 kN

%ҧQJ2: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJ YjEӅUӝQJYӃWQӭWGҫP*)53-A2-KjPOѭӧQJ

*LiWUӏÿӗQJKӗÿRELӃQGҥQJ

%ҧQJ3: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫP6-A-KjPOѭӧQJ

%ҧQJ4: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫP*)53-B1-KjPOѭӧQJ

*LiWUӏÿӗQJKӗÿR FKX\ӇQYӏYӏWUt *LiWUӏÿӗQJKӗÿRELӃQGҥQJ

ErW{QJYӏWUt *LiWUӏÿӗQJKӗÿR

%ҧQJ5: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫP*)53-B2-KjPOѭӧQJ

*LiWUӏÿӗQJKӗÿR ELӃQGҥQJ

Ghi chú: - 9͇WQͱWÿ̯XWLrQ [X̭WKL QͧF̭SW̫L P = 10 kN

%ҧQJ6: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫP6-B-KjPOѭӧQJ

%ҧQJ7: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫPGFRP-C1-KjPOѭӧQJ

*LiWUӏÿӗQJKӗÿR ELӃQ GҥQJ*)53Yӏ trí

%ҧQJ8: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫPGFRP-C2-KjPOѭӧQJ

%ҧQJ9: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫP6-C-KjPOѭӧQJ

%ҧQJ10: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫP*)53-D1-KjPOѭӧQJ

%ҧQJ11: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫP*)53-D2-KjPOѭӧQJ

%ҧQJ12: KӃWTXҧÿRÿҥFFKX\ӇQYӏELӃQGҥQJYjEӅUӝQJYӃWQӭWGҫP6-D-KjPOѭӧQJ

*LiWUӏÿӗQJKӗÿR FKX\ӇQYӏ YӏWUt *LiWUӏÿӗQJKӗÿRELӃQGҥQJ

%ҧQJ13: TK{QJVӕNӻWKXұWWKDQK*)53GRQKjVҧQ[XҩWFXQJFҩS

%ҧQJ14: ӃWTXҧWKtQJKLӋPFӫDPүXGFRP16-1 và mүX*)5316-2

&ѭӡQJ ÿӝ bám dính (Mpa)

KRҧQJ cách WUѭӧW (mm)

&ѭӡQJ ÿӝEiP dính (Mpa)

%ҧQJ15: ӃWTXҧWKtQJKLӋPFӫDPүXGFRP16-2 và mүX6-1

%ҧQJ16: ӃWTXҧWKtQJKLӋPFӫDPүXS16-2

%ҧQJ17: ӃWTXҧWKtQJKLӋPFӫDPүXS16-3 và mүXGFRP12-1

%ҧQJ18: ӃWTXҧWKtQJKLӋPFӫDPүXGFRP12-2

%ҧQJ19: ӃWTXҧWKtQJKLӋPFӫDPүXGFRP12-3

%ҧQJ20: ӃWTXҧWKtQJKLӋPFӫDPүXS12-1 và mүX6-2

%ҧQJ21: ӃWTXҧWKtQJKLӋPFӫDPүXS12-3

ĈһFWUѭQJKuQKKӑFYұWOLӋXFiFGҫPNLӇPFKӭQJ

%ҧQJ22: ĈһFWUѭQJKuQKKӑFYұWOLӋXFiFGҫPNLӇPFKӭQJ

& % DU UL VY jF ӝQJ Vӵ

Ma sm oud i, Thé ri aul t a nd B enm ok ran e (1998 )

CB2B-2 GFRP %ӅPһWFyJkQ 200 300 3,00 14,9 348,56 37.000 34.253 52 253 0,690 CB3B-1 GFRP %ӅPһWFyJkQ 200 300 3,00 14,9 522,83 37.000 34.253 52 253 1,030 CB3B-2 GFRP %ӅPһWFyJkQ 200 300 3,00 14,9 522,83 37.000 34.253 52 253 1,030 CB4B-1 GFRP %ӅPһWFyJkQ 200 300 3,00 14,9 697,11 37.000 31.864 45 235 1,480 CB4B-2 GFRP %ӅPһWFyJkQ 200 300 3,00 14,9 697,11 37.000 31.864 45 235 1,480 CB6B-1 GFRP %ӅPһWFyJkQ 200 300 3,00 14,9 1046 37.000 31.864 45 230 2,270 CB6B-2 GFRP %ӅPһWFyJkQ 200 300 3,00 14,9 1046 37.000 31.864 45 230 2,270

Wa ng and Be lar bi ( 200 4) P4C-1 %ӅPһWWUѫQ 178 229 1,83 12,7 253 124.000 32.909 48 191 0,740

Tiêu đề	Phân tích ứng xử nứt do uốn của dầm bê tông cốt phi kim (GFRP)
Tác giả	Phạm Hồng Sơn
Người hướng dẫn	TS. Nguyễn Minh Long
Trường học	Trường Đại học Bách Khoa
Chuyên ngành	Kỹ thuật xây dựng
Thể loại	Luận văn thạc sĩ
Năm xuất bản	2013
Thành phố	Tp. Hồ Chí Minh

Định dạng
Số trang	139
Dung lượng	3,23 MB

Luận văn thạc sĩ Kỹ thuật xây dựng: Phân tích ứng xử nứt do uốn của dầm bê tông cốt phi kim (GFRP)

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