PLATE GIRDER. Lec 7. Lec 7 1. INTRODUCTION. Lecture 7... Page 1

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1 Le eel Desig o Ye D.s Od Dood PLT GRDR 1. NTRODUCTON Mis Uiesi gieeig College Ciil Deme Le Welded le gides, i e e mos ommo fom of le gides, e il- sl seel memes osiss of flge les elded o e le i fille elds. Te e sed o so lods oe log ss (60 f. o 00 f.) d o so sl lods e oo lge o e soed e olled seel ses so i e CM. Ple gides e el sed i ildig ses, e ommol sed i idge ses. Te e sed s sfe gides i ildig ses o so olms oe lge olm-fee es. Ple gides m lso e sed i e eofiig of exisig ildig ses ee olm-fee es e eeded d exisig olms e o e off o emoed elo ei floo leel. Ple gides e lso sed s e so gides i e idsil ses i log ss. ll e sdd o-olled ses i e Ml, e es e om. ome e oom flges, oe e slede flges. Wi ses il fom les, oee, o flges d es e om, oom, o slede. Tese il- ses sll e sed e e edig momes e lge sdd o-olled ses esis, sll ese of lge s. Tese gides e iil e dee, eslig i oom o slede es. le gide oss seio e seel foms. Te sl ofigio is sigle e i o eql flges, i ll s oeed eldig. Te ox seio, i s o es s ell s o flges, is osioll seio se d e sed e lge ed legs e eess. Hid gides, i i e seel i e flges is of ige seg i e e o es, e someimes sed. Lee... Pge 1

2 Le eel Desig o Ye D.s Od Dood Mis Uiesi gieeig College Ciil Deme Te em le gide o loge exiss i e mos ee C seifiio. sed, is em s ee eled e em il- seios, d e desig eqiemes fo flexe d se fo ese seios e fod i eios 5 d G of e C seifiio, eseiel. iffeed le gides m o m o e desiged fo esio-field io o esis e se. siffeed le gide i esio-field io s lie P ss, i e e le esisig digol esio; e eil siffees e i omessio d lso dd sili o e e le. Tesio-field io is is ss-lie eio, d desigig fo i is eoomil o iese e seg of e gide ese e sili dded e siffees llos e e le o e ie d lige old oeise e eess. We esio-field io is sed, oee, e siffees ms e e desiged o e lge mome of iei. Le Tesio-field io is o emied i e desig of ed els. We desigig o lzig olled seios, e oell de of e meme (mesed eee e oside fes of e flges) is sed o esis e se foe. o le gides, ol e gide e (mesed eee e iside fes of e flges) is sed o esis se. Lee... Pge

3 Le eel Desig o Ye D.s Od Dood. TND ND UNTND PLT GRDR Mis Uiesi gieeig College Ciil Deme Le loio of ig se i gide e, sll e e so d o e e el xis, e iil les ill e ilied i ese o e logidil xis of e meme, d e iil sesses ill e digol esio d digol omessio. Te digol esio oses o il olem, e digol omessio se e e o le. Tis olem e ddessed i oe of ee s: (1) Te de-o-iess io of e e e mde smll eog e olem is elimied, () e siffees e sed o fom els i iesed se seg, o () e siffees e sed o fom els esis e digol omessio og esio-field io. Ple gides m e siffeed (i sese siffees) o siffeed. f siffeed e is ile of esisig e lied se, oiel sed siffees e sed o deelo esio-field io. Coss-seiol eqiemes fo ese siffees, lled iemedie siffees, e miiml ese ei im ose is o oide siffess e esis diel lied lods. ddiiol siffees m e eqied ois of oeed lods fo e ose of oeig e e fom e die omessie lod. Tese memes e lled eig siffees, d e ms e ooioed o esis e lied lods. Te lso simleosl see s iemedie siffees. Lee... Pge

4 Le eel Desig o Ye D.s Od Dood.C RQURMNT OR PROPORTON O PLT GRDR Mis Uiesi gieeig College Ciil Deme Le.1- We Pooios Wee gide e is oom o slede deeds o /, e id-o-iess io of e e, ee is e de of e e fom iside fe of flge o iside fe of flge d is e e iess. Noom e lede e Dol mmei -ed seio igl mmei -ed seio M 0.54 M = ie e dise fom e elsi el xis (e eoidl xis) o e iside fe of e omessio flge. ( / defies e of e e is i omessio fo elsi edig. = fo gides i eql flges). = ie e dise fom e lsi el xis o e iside fe of e omessio flge. ( / defies e of e e i omessio fo e lsi mome. = fo gides i eql flges). M = lsi mome = Z x M = ield mome = x To ee e lig (o ee eil lig of e omessio flge io e e), e siffees e dded fo sili. C 1. imoses e limi o e e sledeess. Te limiig le of / is fio of e se io, /, of e gide els, i is e io of iemedie siffee sig o e de. Lee... Pge 4

5 Le eel Desig o Ye D.s Od Dood Mis Uiesi gieeig College Ciil Deme Le Ts -sed memes ms lso sisf e folloig limis, ee is e le dise eee sese siffees, d is e eig of e e eee flges. Wio sese We iffees (Usiffeed Gide) Wi sese We iffees 60 d = e of e e = * f mx 1 f = e of e omessio flge = f * f mx lge Pooios igl smmeil -sed memes ms sisf : = is e mome of iei o e -xis, d = is e mome of iei o e -xis efeed o e omessio flge. Lee... Pge 5

6 Le eel Desig o Ye D.s Od Dood 4. LXURL TRNGTH Mis Uiesi gieeig College Ciil Deme Le We le gide seio s oom o slede e, e omil mome i, M, ill e less e lsi mome i, M, of e seio ese of seel limi ses e ied efoe e seio e is fll lsi mome i. Tee e fo ossile limi ses m o i il- seios i edig d M,ill e e smlles seg oied fo e folloig fo limi ses.: Tesio flge ieldig. Comessio flge ieldig, Comessio flge lol lig, d Lel osiol lig, o ll ses Tesio lge Yieldig, TY o, e desig mome i is gie s x M x x Tis limi se does o l o il- seios e e seio modls of e il- seio i ese o e esio fe, x, is gee o eql o e seio modls i ese o e omessio fe, x (i.e., e ). x x 4.. Comessio lge Yieldig, CY M R g x R g ee f x x f 10 Lee... Pge 6

7 Le eel Desig o Ye D.s Od Dood 4.. Lel Tosiol Blig, LTB Mis Uiesi gieeig College Ciil Deme Le Lel osiol lig is fio of e lel ed leg, L, of e omessio flge of e le gide. M R g x L 1.1 L 0. f Ued Leg, L L L lel osiol lig limi se does o l L L L C 0. L L L L L L C L C = Bedig mome oeffiie. is oseie o ssme C = Comessio lge Lol Blig, LB M R g x f e seio s om flges, e limi se of omessio flge lol lig does l. f f L 4 /,( ) L 0. fo smmei gides i slede o oom es. Lee... Pge

8 Le eel Desig o Ye D.s Od Dood lge Comess Limi Mis Uiesi gieeig College Ciil Deme Le Com lge Noom lge 0. lede lge 0.9 f f xmle 1: Deemie e desig flexl seg of e folloig elded -sed M le gide. Te flges e 15*1.5 i, e e is 50*0.5 i, d e meme is ifoml loded d siml soed. Use 6 seel d ssme e gide s oios ig fo is omessio flge. olio Deemie e flge omess f *1.5 f Com lge Deemie e flge omess Ts slede e LTB ie L =0, LTB does o l 4- CY M R R g R g f f g x 50* OK 15* * OK M x 0.5*50 1, x 15*1.5 1 x *15* *0.98*6*10.4 / 1 50 is.f M is e loes le of TY,CY, LTB, LB 1- TY ie meme is smmei o x-xis x x TY does o l - LB ie flge is om, LB does o l Lee... Pge 8

9 Le eel Desig o Ye D.s Od Dood xmle : Deemie e desig flexl seg of e folloig elded -sed M le gide. Te flges e 4*1.0 i, e e is 45*5/16 i, d e meme is ifoml loded d siml soed 100 f s. Use 6 seel d e ed leg of omessio flge is 0 f. M 0.15* 45 x 1, x x 5* Mis Uiesi gieeig College Ciil Deme 1*4*(.5 0.5) 0.9*1.0*6*118 / is.f Le olio Deemie e flge omess f *1 6 f 4 / 4 45 / LTB L 0 f f 1 1 L * * i 1. f L No om 0.* *6 flge L 0. * i 58. f 0. *6 Deemie e flge omess M } 5.0 Ts No-om e is e loes le of TY,CY, LTB, LB 1- TY ie meme is smmei o x-xis x x TY does o l - CY M R g x R g R g f f 45* OK 4* * R 1.0 g L L C L L L 0. L L * OK M R M g x 0.9*1.0*5.* f - LB M R g x No om flge * M 0.9*1.0*4.* f Ts LB gies smlle le (ool) Ts M 04.4.f (LB) Lee... Pge 9

10 Le eel Desig o Ye D.s Od Dood 5.HR TRNGTH Mis Uiesi gieeig College Ciil Deme Le De o e eliel i es sed i le gides, e desig fo se is moe omlied fo olled seios. f, ee e o oes ille fo desigig fo se i le gides. Oe meod os ol fo e lig seg of e e, ile e seod meod os fo e os-lig seg of e e els eee siffees s esl of digol esio field io. Teefoe, less digol esio field io is o e elied o, i is eommeded sffiie e iess e sed o oid e eed fo siffees. Te se seg of le gide is fio of e de-o-iess io of e e d e sig of iemedie siffees m e ese. Te se i s o omoes: e seg efoe lig d e os-lig seg. Te os-lig seg elies o esio-field io, i is mde ossile e esee of iemedie siffees. f siffees e o ese o e sed oo f, esio-field io ill o e ossile, d e se i ill osis ol of e seg efoe lig. Wee le gide ill e siffeed o siffeed ms e deided i e el desig sges. Usig siffees edes e ol seel eig ieses fiio oss. f e e eig-o-iess io / > 60, sese siffees e eqied. C G.1 liss ll of e odiios de i esio field o e sed: - ed els - We OR - We. 5 f d- o 6 f f f 60 / f = e of e esio flge f = id of e esio flge Lee... Pge 10

11 Le eel Desig o Ye D.s Od Dood Mis Uiesi gieeig College Ciil Deme Wee e se seg is sed o e se ieldig o e se lig deeds o e e id-o-iess io Le 1 f 1.10, Te e seg is sed o se ieldig, d V 0.6 C f 1.10, Te e seg ill e sed o se lig o se lig ls esio-field io. f esio-field eio exiss, V OR V C C 1 C / C 1 / 0.9 = e of e e = d * d = oell de of e em C = io of iil e sess o se ield sess / io Usiffeed e i 60 iffeed e i OR 60 / / 60 iffeed e i OR / 5 Lee... Pge 11

12 Le eel Desig o Ye D.s Od Dood Mis Uiesi gieeig College Ciil Deme Le / io C 1.10 C / / 6.DGN O NTRMDT TNR WTHOUT TNON-LD CTON Tsese siffees e o eqied if oe of e folloig odiios is sisfied:.46 V V o 5 o ll oe odiios, sese siffees e eqied d e sig,, d iess, s, of e siffee ms e seleed o sisf e folloig odiios: s mi j s.5 / s j, 0.5 s 1 s = Tiess of sese siffee, d s = Wid of sese siffee eedil o e logidil xis of e gide. s = Mome of iei fo i of siffees (i.e., siffees o o sides of e e) o oizol xis e eelie of e e. Lee... Pge 1

13 Le eel Desig o Ye D.s Od Dood Mis Uiesi gieeig College Ciil Deme 6.DGN O NTRMDT TNR WTH TNON-LD CTON Le Tsese siffees i esio-field io ms mee e eedig eqiemes fo siffees io esio-field io, d e ms mee e folloig eqiemes: s 0.56 s,s ee s1 ( s s1 V ) V V V (/) s = id-o-iess io of e siffee, 1 1,s = ield sess of e siffee V = is e lge of e eqied se segs i e dje e els, V 1 = e smlle of e ille se segs ( lled i o esio field io. V ) i e dje els, V = e smlle of e ille se segs ( V ) i e dje els, lled i esio field io. s1 = eqied mome of iei s lled fo e o-esio-field se. s = mome of iei eqied o deelo e lig ls os-lig se seg. s 4 1. s s mx, 1 s = ield sess of e gide e Lee... Pge 1

14 Le eel Desig o Ye D.s Od Dood.DGN O BRNG TNR Mis Uiesi gieeig College Ciil Deme Le Beig siffees e eqied e e e s isffiie seg fo of e limi ses of e ieldig, e ilig, o sides e lig. log e e e ooioed o diel esis lied oeed lods, eig siffees e sll oided. f siffees e sed o esis e fll oeed lod, e limi ses of e ieldig, e ilig, d sides e lig do o eed o e eed. Te omil eig seg of siffee is gie i C J s R 1.8, 0.5 C J10.8 eqies fll-de siffees e sed i is d lzed s xill loded olms sje o e folloig gidelies: 1- Te oss seio of e xill loded meme osiss of e siffee les d leg of e e. Tis leg e o gee 1 imes e e iess fo ed siffee o 5 imes e e iess fo ieio siffee. - Te effeie leg sold e e s 0.5 imes e l leg is, KL = 0.5. Lee... Pge 14

15 Le eel Desig o Ye D.s Od Dood - Te omil xil seg is KL - f 5 P g, 0. 9 Mis Uiesi gieeig College Ciil Deme KL - f 5 e sl eqiemes fo omessio memes i C l. Le s,s Te sig of siffees old e oied fom Tle -16 d -1 Lee... Pge 15

16 Le eel Desig o Ye D.s Od Dood xmle : le gide of 6 seel so i fige, s ee seleed fo 65 f simle s o so e lods D =1.1 /f (o ildig e em eig) d L = /f. Beig siffees e oided e eds of gide. - id sig of iemedie siffees if eeded - Desig iemedie siffees -Desig eig siffees Mis Uiesi gieeig College Ciil Deme o e ed els, esio-field io is o emied, d e se seg ms e omed fom e qio: V *0.6*6*1.59* V Ts iemedie siffees e eqied -ele siffees fo ed el (Tesio filed io m o e sed) V V Le e C Tle -16 fo (esio filed io o ilded) i / =19 d V / 4.9 d ed / *8 8i -ele sig of siffees fo seod el olio Comig gide eig * 1.15* 0 / 8*8 5.5i elf eig / f * seel 58l / f 0.58 / f R 1. D 1.6 L L 4.8* *490 l / f 1.* ) 1.6* id sig of iemedie siffees if eeded -id d -id C */ / f i i esio field io is emied. se seod el is 8 i fom so. 8 V * V.8 V 1.9 Ts moe iemedie siffees e eqied -ele siffees fo seod el (Tesio filed io is ilded) V V si 1.59 e C Tle -16 fo (esio filed io is ilded) i / =19 d V /.9 d ed / * i * C 1.51 / 1.511* 9000 * * 6 Lee... Pge 16

17 Le eel Desig o Ye D.s Od Dood Mis Uiesi gieeig College Ciil Deme Le - Desig iemedie siffees Te fis iemedie siffees is led 8 i fom e ed j / OK Te oss seio of e xill loded meme osiss of e siffee les d leg of e e of 1 * =1*5/8=4.5" mi, 8 4 j8* * i s mi 8 ssme iess of i of iemedie siffees s =0.5 i s s s 1 0.5* s s 1.16 Use PL *0.5 i le iemedie siffees -Desig eig siffees Desig e eig siffee s olm s e ossed seio. 5 *( *9 ) 4.5* 1.94i *5 / 8 4 i (egleig e e 1 oiio) i KL *8 61.5i 0 / s mx KL Use s = 9 i s s s ,s 9 s mi s e Tle 4- of CM i KL/ = 1. d =6 si d ed 1.1 si P P * 1.1* is 416. is R Ce eig seg is OK Use s =5/8 = 0.65 i Ts o le eig siffees 5/8*9 i R 1.8 *(9 0.5)*5 / R R 0.5*1.8*6* is is R OK Use PL 9*5/8 i de of 81.5 ( de of 81.5 sed ised of 8 i fo fiig oses) Lee... Pge 1