148 CIVIL ENGINEERING

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1 STRUTUR NYSS fluee es fo Bems d Tusses fluee le sows te vto of effet (eto, se d momet ems, foe tuss) used movg ut lod oss te stutue. fluee le s used to deteme te posto of movele set of lods tt uses te mmum vlue of te effet. Movg oetted od Sets P R P P e e / Te solute mmum momet podued em set of "" movg lods ous we te esultt "R" of te lod set d djet lod e equl dste fom te etele of te em. geel, two possle lod set postos must e osdeed, oe fo e djet lod. Bem Stffess d Momet ove M M E k B stffess M E M B M / k B M B M / ove ( ) ge legt used etel effet ( fo ese meme legt): E F l fo foe F used etel lod α ( T) fo tempetue ge meme (α oeffet of teml epso) meme msft, meme legt d oss-setol e E meme elst modulus Fme Defleto Ut od Metod Te dsplemet of pot o fme used etel lods s foud pplg ut lod t tt pot tt oespods to te desed dsplemet: memes mm! # d E D wee: dsplemet t pot of pplto of ut lod ( deto of ut lod) m momet equto meme "" used te ut lod M momet equto meme "" used lods ppled to fme legt of meme "" momet of et of meme "" f ete te el lods o te ut lod use o momet meme, tt meme e omtted fom te summto. Meme Fed-Ed Momets (Mgtudes) w Tuss Defleto Ut od Metod Te dsplemet of tuss jot used etel effets (tuss lods, meme tempetue ge, meme msft) s foud pplg ut lod t te pot tt oespods to te desed dsplemet. wee: jot f D jot memes! f ^D jot dsplemet t pot of pplto of ut lod ( deto of ut lod ) foe meme "" used ut lod ( teso) FEM B B FEM B FEM B w P P B FEM B P 7 V ENGNEERNG

2 STBTY, DETERMNNY, ND SSFTON OF STRUTURES m ume of memes ume of depedet eto ompoets j ume of jots ume of odto equtos sed o kow tel momets o foes, su s tel momet of zeo t ge Ple Tuss Stt lss lssfto m < j Ustle m j Stle d sttll detemte m > j Stle d sttll detemte Ple Fme Stt lss lssfto m < j Ustle m j Stle d sttll detemte m > j Stle d sttll detemte Stlt lso eques ppopte gemet of memes d eto ompoets. od omtos usg Stegt Desg (RFD, USD) Noml lods used followg omtos: D ded lods E etquke lods lve lods (floo) lve lods (oof) R lod S sow lod W wd lod od ftos λ: λ D (ded lod), λ (lve lod), et. Bs omtos /S/R lgest of, S, R o.w lge of,.w.d.d.. ( /S/R).D.( /S/R) ( o.w).d.w.( /S/R).D.E.S.9D.W.9D.E STRUTUR DESGN ve od Reduto Te effet o uldg meme of oml oup lve lods m ofte e edued sed o te loded floo e suppoted te meme. tpl model used fo omputg edued lve lod (s foud SE 7 d m uldg odes) s:. edued oml e o $. oml K T wee: oml T K T K oml lve lod gve SE 7 o uldg ode te umultve floo tut e suppoted te meme e of fluee suppoted te meme to of e of fluee to te tut e suppoted te meme: K (tpl olums) K (tpl ems d gdes) V ENGNEERNG

3 d t f X Y X Tle -: WSpes Dmesos d Popetes t w f e Dept We Flge s X-X s Y-Y Spe d t w f t f..... WX WX WX WX WX WX..... WX WX WX WX..... WX WX WX WX WX WX WX..... WX WX WX WX WX WX WX WX WX WX WX WX WX WX WX WX WX WX WX WX W W W W..... W dpted fom Steel ostuto Mul, t ed., S,. S Z V ENGNEERNG

4 Fgue e & etod e Momet of et (Rdus of Gto) Podut of et STTS / / / / / / / ( )/ / / / ( ) ( ) ( ) s ( os )/ ( s )/ / / / / / / / / [ ( )] [ ( )] [ ( )] J ( ) p ( ) ( ) 7 ( ) ( ) ( ) ( ) ( ) [ s( os ) ] ( s ) [ s( os) ] ( sos) ( ) ( ) ( ) s s ( os ) ( s) ( os) ( os) House, Geoge W., d Dold E. Hudso, ppled Mes Dms, D. V Nostd omp,., Peto, NJ, 99. Tle epted pemsso of G.W. House & D.E. Hudso. ( ) [ ( ) ] ( ) 7 ( s os) 7

5 STTS J p ( ) J p / /() s ( s os )/ ( s os )/ os s os s os s s s os s os s os s os s os s os s os s os s House, Geoge W., d Dold E. Hudso, ppled Mes Dms, D. V Nostd omp,., Peto, NJ, 99. Tle epted pemsso of G.W. House & D.E. Hudso. Fgue e & etod e Momet of et (Rdus of Gto) Podut of et

6 7 STTS / / / / / / /7 7 / House, Geoge W., d Dold E. Hudso, ppled Mes Dms, D. V Nostd omp,., Peto, NJ, 99. Tle epted pemsso of G.W. House & D.E. Hudso. (/ ) (/ / ) / Fgue e & etod e Momet of et (Rdus of Gto) Podut of et

STATICS. CENTROIDS OF MASSES, AREAS, LENGTHS, AND VOLUMES The following formulas are for discrete masses, areas, lengths, and volumes: r c

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