Location: 229 T y S n - Hμ Néi Code: Eurocode 4 Member: Beams Category: Podium

Transcription

1 Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium I - DESIGN DT 1. teril: 1.1 Conrete Compoite bem Conrete grde: 400 (TCVN C5/30 (Euroode 4) Chrteriti ompreion trength: k = 5 P loer bound o Chrteriti tenile trength: tk,0.05 = 1.8 P odulu o Eltiit: E m = ####### P Denit: ρ= 4 kn/m 3 1. Rebr Chrteriti eild trength k = 490 P odulu o Eltiit: E = ####### P Slb reinorement: 1 00 = mm /m over to entroid = 30 mm 1.3 Proiled heeting Chrteriti eild trength p = 80 P odulu o Eltiit: E = ####### P Thikne: t = 0.9 mm 1.4 Steel Steel grde or bem: S355 = 355 P Sher tud: u = 450 P d= 19 mm h= 95 mm ping = 150 mm number o tud in one rib N r = 1 Prtil Set tor: or Conrete: = 1.5 or Reinorement: = 1.15 or proiled Sheeting: p = 1.1 or teel: = 1 or her tud: v = 1.5 or permnent tion G = 1.35 or vrible tion: Q = 1.5. Geometr: b e h d p guễn inh Tuấn Pge 1

2 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium L Cl 1 ) Steel heet proile: Spn length or heet C 51/0.9 L =.8 m Cl 1 h = 59 mm h p = 51 mm B b o b 1 b b Cliition o bem Eetive re per 1m idth: P = 1593 mm ro etion d p = mm poitive moment b) Steel bem: Number o pn 3 Spn length (m): L 1 L L Cl 1 Setion: IPE400 r h b t t (ll dimenion in mm) Cl 1 = 747 mm pl. = 65.3 knm Cliition o bem I = 0478 m 4 ro etion negtive moment 3. Loding: hp - Weight o onrete lb = h hp x1m bo B kn/m - Sel-eight: kn/m Conrete lb.199 Steel dek (pprox.) 0.1 Rebr (pprox.) 0.04 Steel bem (pprox.) kn/m - Contrution tge: Contrution lod 1.6 kn/m - Compoite tge: Ceiling nd ervie 0.5 kn/m - Impoed: kn/m Oupn 7.5 Prtition kn/m L Ultimte Limit Stte loding: - Contrution tge: tored lod Deign Deign Sel-eight 3.47 moment - d her ore Contrution lod.40 + d (KNm) KNm V d (kn) guễn inh Tuấn Pge

3 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium 5.87 kn/m PSSED PSSED - Compoite tge: tored lod Deign Deign Sel-eight 3.47 moment her ore Ceiling nd ervie d (KNm) - d V d (kn) Impoed 1.75 KNm kn/m PSSED PSSED II - ULTITE LIIT STTE DESIGN 4. Eetive idth o onrete lnge-b e : b e = *min(l o /8,L /) here: L o = 5.88 m - equivlent pn or poitive moment (gging moment) = 4. m - equivlent pn or negtive moment (hogging moment) b + e = 1.47 m or poitive moment b - e = 1.05 m or negtive moment 5. Reitne o bem ro etion 5.1 Sgging moment reitne Ce 1: P.N. in onrete z / b e x 0.85 k / h = kn z= mm Bending reitne: h / h h / knm Ce : P.N. in teel lnge pl. p z 0.85 k / xb e h 19 kn z b / h h 11.3 mm Bending reitne: h / h / h z h / knm Ce 3: P.N. in teel eb p pl. p p z t / 1.9 mm guễn inh Tuấn Pge 3

4 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium t / Bending reitne: h / h / h z / knm pl. pl. p beue: < 144 = - < b t / 1616 (kn) Bending reitne or gging hll ollo Ce knm pl. 5. Hogging moment reitne Ce 1: P.N. in teel lnge k / 53.0 kn z b / 19.0 mm h = h +h p - = 80 mm Bending reitne: h / h z / h knm pl. Ce : P.N. in teel eb z t / 45.7 mm Bending reitne: h / h / 4t / knm pl. pl. beue: > 400 = - > b t / 1616 (kn) Bending reitne or hogging hll ollo Ce knm pl. 5.3 Sher reitne ) Deign plti her reitne V pl. V pl. RD / 3 here: ν i the her re o truturl teel member t rt b t 3558 mm thereore: V pl. = 79.0 kn b) Sher bukling reitne o teel eb hll be veriied ollo: guễn inh Tuấn Pge 4

5 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium - or n untiened nd uned eb d/t 69ε PSSED - or n untiened nd ened eb d/t 14ε PSSED here: d i the depth o the eb d= 33.4 mm 35/ Bending nd vertil her V d < 0.5V pl. The olloing intertion riterion hould be tiied: V d d. pl V pl. -. i the deign plti bending reitne o ro etion oniting o the lnge onl, ith eetive etion ued in the lultion o Ce 1: P.N. in teel lnge = kn z = 4.4 mm -. = knm thereore - = knm > d PSSED 5.5 Lterl-torionl bukling The lenderne hll be determined ollo: LT 5.0 t 1 h 4b t EC here: h i the ditne beteen lnge, h = 387. mm End ixitie nd loding ψ C ith ψ= C 4 = 19 oment digrm hene: 1/ Criteri to be heked herein: 4 - LT TRUE 3 - Sher tud ping 0.0b d h / t TRUE - ximum height h <h mx = 400 mm TRUE 4 h t 3 t b LT guễn inh Tuấn Pge 5

6 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium - Bending tine o olid or ompoite lb i uh tht: 3 E I 0.35 E t / h m here: 0.35E t 3 /h =.E+08 I i the men o moment o inerti per unit idth o lb bove the teel bem, negleting onrete in tenion nd inluding trnormed re o reinorement nd n proiled heeting. 6. Sher Connetor (1) () 6.1 One tud her reitne: P min P ; P kn r r 1 h p hp b 0.7 / 1/ o h N P 4 ( 1) d r0.8 u / kn P ( ) r 0.9 d E / k m kn ith α = 1 6. Deign longitudinl her to be reited b her onnetor 6..1 ull her onnetion 1) Totl deign longitudinl her V l1 to be reited b her onnetor ped beteen the point o mximum gging moment nd imple end upport: V l1 = ith eetive re in gging moment here: 653 kn = mm e = 831 mm 0.85 k e k or: 1583 kn hene: V l1 = = 1583 kn ) Totl deign longitudinl her V l to be reited b her onnetor ped beteen the point o mximum gging moment nd n intermedite upport or retrined end upport: k p p Vl p here: i deined bove = 1583 kn i the eetive re o longitudinl lb reinorement t upport = 594 mm p i the eetive re o proiled teel heeting t upport p = 1673 mm guễn inh Tuấn Pge 6

7 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium hene: V l = 6 kn 6.. Prtil her onnetion ith dutile onnetor 1) Totl deign longitudinl her V l1 to be reited b her onnetor ped beteen the point o mximum gging moment nd imple end upport: V l1 = d pl. here: = -534 kn pl. pl. pl. nd pl. re the deign plti reitne to gging bending o the truturl teel lone, nd o the ompoite etion ith ull her onnetion, repetivel. hene: V l1 = = -534 kn ) Totl deign longitudinl her V l to be reited b her onnetor ped beteen the point o mximum gging moment nd n intermedite upport or retrined end upport: V l k p p p 144 kn 6.3 Determine the degree o her onnetion 1) In egment -B: L B = m - Number o her onnetor required or ull onnetion: N = V l1 / P = 33 - Number o her onnetor provided: N = N r *L B / = 1 N - Degree o her onnetion: 0.64 Prtil onnetion. ) In egment B-C: L BC = 5.9 m - Number o her onnetor required or ull onnetion: N = V l / P = 47 - Number o her onnetor provided: N = N r *L BC / = 35 N N - Degree o her onnetion: 0.74 Prtil onnetion. N 3) Chek minimum degree o her onnetion: L 5m (N/N ) min = L 5m (N/N ) min = L (N/N ) min = 0.50 PSSED L > 5m (N/N ) min = Chek number o her onnetor - In egment -B: N min = -11 < N= 1 PSSED - In egment B-C: N min = 3 < N= 35 PSSED guễn inh Tuấn Pge 7

8 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium 6.5 Chek ping o her onnetor inimum ping: 5d longitudinll PSSED ximum ping: 6xSlb depth or 800mm PSSED 7. Deign reitne to longitudinl her Potentil her plne through the lb lie on either ide o the her onnetor. The proviion o trnvere reinorement (perpendiulr to the bem) i required. The deign reitne o n ure o potentil her ilure in the lnge hould be determined rom: or / 3 hihever i mller here: i the bi her trength to be tken 0.5 tk 0.05/γ = 0.3 P η or norml-eight onrete v.5 v 0. v k / e k pd / pd i the men ro-etionl re per unit length o bem o the onrete her ure under onidertion, v = 84.5x1000 = ####### mm /m e i the um o the ro-etionl re o trnvere reinorement (umed to be perpendiulr to the bem) per unit length o bem roing the her ure under onidertion (igure 6.1-Euroode 4) inluding n reinorement provided or bending o the lb ν pd e = mm /m i the ontribution o the teel heeting, obtined ollo: or proiled heet ontinuou ro the top lnge o the teel bem: p p pd = kn/m or proiled heet diontinuou ro the top lnge o the teel bem: here: pd p N r 4d. t p / p p p p = kn/m N r i the number o tud in group N r = 1 d = 19 mm t i the thikne o teel heet t = 0.9 mm i the longitudinl ping enter-to-enter o the tud = 150 mm guễn inh Tuấn Pge 8

9 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium hene, ν hll be tken ollo: or proiled heet ontinuou ro the top lnge o the teel bem: ν = kn/m or proiled heet diontinuou ro the top lnge o the teel bem: ν = kn/m Compred to her ore per unit length indued b her onnetor ν : 1 N r P. 1m kn/m < ν PSSED Trnvere reinorement provided ere dequte. III - SERVICEBILITY LIIT STTE DESIGN 1. Deletion 1.1 Non-ompoite tge deletion 4 5 pl 384E I = mm here: Deign lod p =.57x.8 = 7.0 kn/m (Sel-eight o lb nd bem) 1. Compoite tge deletion UDL= 8.5 kn/m (Impoed) Deign lod p = 8.5x.8 = 3.8 kn/m Seond moment o re o the ompoite etion bed on elti propertie (unrked inerti), I, i obtined ollo: 3 h hp h be h I I = 4.8E+08 mm nr 1n E r ; n = odulr rtio = be xh E m 4 5 pl Deletion ith ull her onnetion: mm 384E I With pril her onnetion exit, tke the eet o lip into ount ollo: N N 1.14, hene δ = mm I I = 35.9 mm Chek deletion due to impoed lod δ < L/300 = 8.0 mm PSSED 1.3 Totl deletion Contrution tge mm Impoed lod mm Ceiling nd ervie = 0.5 x / 8.5 = 1.04 mm 9.58 mm hek ith limit o L/50 = 33.6 mm PSSED guễn inh Tuấn Pge 9

10 Compoite bem Projet: ipe Toer Lotion: 9 T S n - Hμ Néi Code: Euroode 4 ember: Bem Ctegor: Podium. Crk ontrol Crk-idth limit: 0.5 mm.1 inimum reinorement Where: te i the eetive tenile trength o the onrete t the time hen rk m irt be expeted to our, te =.6 P σ t i the mximum tre permitted in the reinorement immeditel ter rking (Tble 5.1 σ t = 450 P k=0.8 k z o kk te t / t i the oeiient tht tke ount o el-equilibrting tree nd the tre ditribution in the lb prior to rking: 1 k 1 h / z o i the vertil ditne beteen the entroid o the unrked un reinored onrete lnge nd the unrked unreinored ompoite etion z o = mm t i the eetive re o the onrete lnge ithin the tenile zone t = 0.06 m hene minimum reinorement P mm /m PSSED Chek longitudinl rebr o 0.%: PSSED 1.0%. Control o rking due to diret loding, ithout lultion o rk idth 0.9. Vibrtion - Loding: Slb+bem =.57 kn/m Celing nd ervie = 0.5 kn/m 10% Impoed lod = 0.85 kn/m 3.9 kn/m Totl eight o loor, p v = kn/m - Intntneou deletion ued b re-pplition o the el-eight o the loor nd the bem to the ompoite bem 4 5 pv L 384E 1.1xI 6.48 mm 18 - Nturl requen 7.07 Hz > 4 Hz PSSED guễn inh Tuấn Pge 10