ࡱ>  wRoot Entry0 FXB!R-F@WordDocumentc v @@c P NO{ObjectPool0 SummaryInformation(,--D.E.  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~<In\Progib-brio-final.doc T. Kisicek C:\WINDOWS\Progib-brio-final.doc T. Kisicek C:\WINDOWS\Progib-brio-final.doc@HP LaserJet 6P/6MP - EnhancedLPT1:HPBXLAHP LaserJet 6P/6MP - EnhancedHP LaserJet 6P/6MP - EnhancedD ).X)HP LaserJet 6P/6MP - EnhancedD ).X)**** D]9KuvD]9@ py%#2#E#F#G#g#h#%%%'&r&s&&&&&B)])))))**11222222201E1y!1E0!1E1E1E1E1w10w0&11w0'0(1e(1Dw1(1(1(0(0*)1+1+11,0@,0T,1,1Ew0O-0Xw0<40e50f50q50r50s50t5JTimes New Roman Symbol &ArialTimes New Roman CE"1h1r%s% s%G-(W9JmHSTATIKI PRORAUN I DIMENZIONIRANJE KONTINUIRANE GREDE PREKO DVA RASPONAUnknown T. KisicekܥhW ,eu5{1*vvww;x;x;x=~xh=~=~=~M~^~:=~lJ~woqqqI<<2XmP;x P;x;x~olumjer presjeka te vlanost okolia odredi se prema podacima iz EC2 trajni koeficijent puzanja  EMBED Equation.2 . - efektivni modul elastinosti betona:  EMBED Equation.2  - omjer modula elastinosti elika i efektivnog modula elastinosti betona:  EMBED Equation.2  2.3 U proceduri statika raunaju se momenti savijanja. Odreuju se i koeficijenti k koji su za zadani statiki sustav prema Beton-Kalender 1994. (3(, prikazani u Tablici 1. Tablica 1: Koeficijenti k za pojednostavljeni proraun progiba R e d Tip optereenja Dijagram momenata savijanja Koeficijent k 123 1     0.125 2     EMBED Equation.2  3    0.0625 4     EMBED Equation.2  5    5/48 6     EMBED Equation.2  0.102  7    EMBED Equation.2  8     EMBED Equation.2  9     EMBED Equation.2   EMBED Equation.2  2.4 Slijede procedure presjek1 i presjek2. Ovisno o vrsti presjeka raunaju se geometrijske karakteristike za naponsko stanje I (presjek bez pukotine) i za naponsko stanje II (presjek sa pukotinom). Indeks I ili II uz svaki simbol oznaava karakteristike presjeka vezanih za naponsko stanje I ili II. 2.4.1 Proraun geometrijskih karakteristika pravokutnog poprenog presjeka (procedura presjek1): Pravokutni presjek primjenjuje se za plou gdje se irina uzima b = 100cm.  EMBED Word.Picture.6  Slika 1. Pravokutni popreni presjek - poloaj teita za betonski presjek bez armature:  EMBED Equation.2  ;  EMBED Equation.2  - poloaj teita presjeka za naponsko stanje I:  EMBED Equation.2  ;  EMBED Equation.2  - poloaj teita za naponsko stanje II:  EMBED Equation.2  ;  EMBED Equation.2  - keficijenti kxI i kxII dobiveni su prema Beton-Kalender 1994., (3(:  EMBED Equation.2   EMBED Equation.2  - moment tromosti betonskog presjeka bez armature:  EMBED Equation.2  - moment tromosti presjeka za naponsko stanje I (prije pojave pukotina):  EMBED Equation.2  - moment tromosti za naponsko stanje II:  EMBED Equation.2  - statiki moment povrine armature za naponsko stanje I:  EMBED Equation.2  - statiki moment povrine armature za naponsko stanje II: EMBED Equation.2  2.4.2 Proraun geometrijskih karakteristika nosaa T-presjeka (procedura presjek2):  EMBED Word.Picture.6  Slika 2. Popreni presjek nosaa T-presjeka - poloaj teita za betonski presjek bez armature:  EMBED Equation.2  ;  EMBED Equation.2  - poloaj teita za naponsko stanje I:  EMBED Equation.2  ;  EMBED Equation.2  - koeficijent kxI moe se izraunati prema Beton-Kalender 1994, (3(:  EMBED Equation.2  - koeficijenti AI i BI se proraunavaju na isti nain kao i kod prorauna geometrijskih karakteristika pravokutnog presjeka. - moment tromosti betonskog presjeka bez armature:  EMBED Equation.2  - moment tromosti za naponsko stanje I:  EMBED Equation.2  Kod raunanja momenta tromosti T-presjeka za naponsko stanje II nije svejedno da li se teite presjeka nalazi u ploi ili u rebru poprenog presjeka. Prvo se pretpostavi da se teite nalazi u ploi T-presjeka ( EMBED Equation.2 ) i izrauna se udaljenost teita od gornjeg ruba T-presjeka ( EMBED Equation.2 ; kao za pravokutni presjek irine beff i visine h - Beton-Kalender 1994., (3( ) i ako je tako proraunati yIIg < hf tada se moment tromosti za naponsko stanje II rauna prema izrazu:  EMBED Equation.2  Ako je yIIg > hf teite se nalazi u rebru T-presjeka. Poloaj teita za naponsko stanje II moe se u tom sluaju izraunati prema izrazima:  EMBED Equation.2  ;  EMBED Equation.2  - koeficijent kxII moe se izraunati prema Beton-Kalender 1994, (3( uz pretpostavku da je presjek raspuknut od vlanog ruba na duljini yIId.  EMBED Equation.2  - koeficijenti AII i BII se proraunavaju na isti nain kao i kod prorauna geometrijskih karakteristika pravokutnog presjeka. - moment tromosti za naponsko stanje II se rauna prema izrazu:  EMBED Equation.2  - statiki moment povrine armature za naponsko stanje I:  EMBED Equation.2  - statiki moment povrine armature za naponsko stanje II:  EMBED Equation.2  2.5 Proraun progiba za sredinu raspona izvrava se procedurom progib. Progib se proraunava pomou izraza: EMBED Equation.2 . Koeficijent k je dan u tablici 1, L je raspon ploe ili grede,  EMBED Equation.2  je ukupna zakrivljenost u presjeku u sredini raspona od: a) zakrivljenosti zbog optereenja i puzanja  EMBED Equation.2  i b) zakrivljenost zbog skupljanja  EMBED Equation.2 . Krak unutarnjih sila, z, rauna se prema jednoj od prihvaenih metoda. Ako se radi o nosau pravokutnog presjeka i nosau T-presjeka kada je yIIg ( hf, krak unutarnjih sila rauna se prema izrazu:  EMBED Equation.2 , a ako se radi o nosau T-presjeka kada je  EMBED Equation.2 , krak unutarnjih sila rauna se prema pojednostavljenom izrazu:  EMBED Equation.2  zanemarujui relativno mali dio betonskog presjeka T-nosaa ispod ploe (pretpostavlja se da tlanu silu u betonu preuzima samo ploa). Paralelno s ovim vrijednostima provedene je analiza ovisnosti progiba o veliini kraka unutarnjih sila. Varirana je veliina od z=0.80d do z=0.95d za jednu realnu konstrukciju. Razlika progiba iznosila je 16% (tj. 8%) to je u granicama prihvatljivosti. Zakljuak je da se veliina kraka, z, moe proraunati uzimajui u obzir samo geometriju presjeka, a zanemarujui utjecaj optereenja, jer se pri tome ne radi velika pogreka. Naprezanje u armaturi rauna se prema izrazu:  EMBED Equation.2 , gdje je  EMBED Equation.2 . Za proraun progiba parcijalni koeficijenti za stalno i uporabno optereenje uzimaju se sa:  EMBED Equation.2 . Srednja zakrivljenost od optereenja i puzanja  EMBED Equation.2  sastoji se od zakrivljenosti u naponskom stanju I  EMBED Equation.2  i naponskom stanju II  EMBED Equation.2  koje su pomnoene s koeficijentom raspodjele zakrivljenosti (:  EMBED Equation.2  - zakrivljenost za naponsko stanje I rauna se prema izrazu:  EMBED Equation.2  - relativna deformacija armature rauna se prema izrazu:  EMBED Equation.2  - zakrivljenost za naponsko stanje II rauna se prema izrazu:  EMBED Equation.2  - moment nastanka prve pukotine u betonu rauna se prema izrazu:  EMBED Equation.2  - naprezanje u armaturi kod nastanka prve pukotine rauna se kao:  EMBED Equation.2  - ako je MSd < Mcr kada presjek ostaje u naponskom stanju I, koeficijent raspodjele zakrivljenosti  EMBED Equation.2 , a ako je MSd > Mcr koeficijent raspodjele zakrivljenosti se rauna prema izrazu:  EMBED Equation.2 , gdje su  EMBED Equation.2 - koeficijent kojim se uzima u obzir prionljivost armature i betona. Eurocode 2 (5( preporua:  EMBED Equation.2   EMBED Equation.2   EMBED Equation.2 - koeficijent kojim se obuhvaa utjecaj trajanja ili uestalosti optereenja. Eurocode 2 (5( preporua:  EMBED Equation.2 za dugotrajno optereenje ili promjenljivo s estim djelovanjem;  EMBED Equation.2 za kratkotrajno optereenje Srednja zakrivljenost od skupljanja  EMBED Equation.2  sastoji se od zakrivljenosti u naponskom stanju I  EMBED Equation.2  i naponskom stanju II  EMBED Equation.2  koje su pomnoene s koeficijentom raspodjele zakrivljenosti (:  EMBED Equation.2  - zakrivljenost od skupljanja za naponsko stanje I rauna se prema izrazu:  EMBED Equation.2 ,  EMBED Equation.2  je relativna deformacija od skupljanja u beskonanosti (rauna se za vrijeme starosti betona od 70 g.) prema podacima iz EC2. - zakrivljenost od skupljanja za naponsko stanje II rauna se prema izrazu:  EMBED Equation.2  - ukupna zakrivljenost rauna se prema izrazu:  EMBED Equation.2  Ukupni progib AB nosaa  EMBED Equation.2  usporeuje se s dozvoljenim progibima koji prema EC2 iznose L/250. Ako se na nosa nadozidava pregradni zid dodatni progib smije biti jo L/500. 3. Zakljuak Kompjutorski program, kao i ovaj lanak, mogu posluiti inenjerima u praksi kao jednostavno pomagalo za proraun progiba AB nosaa jednostavnih statikih sustava jer se njime znatno ubrzava proraun progiba, koji je opsean zbog raunanja geometrijskih karakteristika poprenog presjeka u naponskom stanju I i II. 4. Zahvala Ovaj rad napravljen je u okviru znanstvenog projekta br. 082001, Granina stanja uporabljivosti armiranobetonskih konstrukcija koji podupire Ministarstvo znanosti i tehnologije Republike Hrvatske. Autori se zahvaljuju Ministarstvu na potpori. 5. Literatura 1. Tomii, I.: Betonske konstrukcije, DHGK, Zagreb 1996., str. 32, 55, 476-498 2. Tomii, I.: Prirunik za proraun AB konstrukcija, DHGK, Zagreb 1993., str. 139-144 3. Beton-kalender 1994., Teil I, str. 798-805 4. CEB Design manual on CRACKING AND DEFORMATIONS, Ecole polytechnique federale de Lausanne, 1985., str. 1.1-1.9, 3.1-3.16 5. Eurocode 2 - Design of Concrete Structures; Part 1: General Rules and Rules for Buildings, Revised final draft, Brussel, October 1990.  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B!""" $/7 88+7 $-7"8"8 -7  $-788-7%6z@7%6z7%~6z6%R6z6%&6z6%5zb6%5z56%5 6%55%7zl7%07z7%\7z7%7z7%7z8%7zJ8%8zv8%:8z8%f8z8%8z8 $/7T6Q6+7 $-7 5 5"-7" $-755-7 $;9c;9 687%!%!k % !k % !} % !k % ! %  %!!!%! !% !?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~՜.+,0HPhpx   Kisha d.o.o.r W ISTATIKI PRORAUN I DIMENZIONIRANJE KONTINUIRANE GREDE PREKO DVA RASPONAOh+'0(< P\    ISTATIKI PRORAUN I DIMENZIONIRANJE KONTINUIRANE GREDE PREKO DVA RASPONAXD:iUnknownF Normal.dot T. Kisicek5Microsoft Word for Windows 95 @2 @g @V_@"%F-(\hJ\mJ\iJ f tot =kL 2 1r totܥhW eu5V1*vv{ww5x5x5x7~xh7~7~7~G~^~:7~GJ~qnpppI<<1XmO5x O5x5x~_95535266935gF @_950626294OaF@@_950626501[F@@_956558365UF̔̔;x;xoR-FOx2xTw2wT;x;xo Zorislav Sori, Tomislav Kiiek, Igor Gukov, Nina Bjelajac Program za proraun progiba AB nosaa Saetak: Program za proraun progiba sastoji se od sedam potprograma (ulaz, materijal, presjek1, presjek2, statika, progib, ispis). Proraun se provodi prema europskim normama br. 1992. (EC2) za naponska stanja I i II. Uzima se u obzir optereenje, dimenzije nosaa te puzanje i skupljanje betona. Programom su predviene dvije vrste poprenih presjeka (pravokutni i T- presjek) te devet kombinacija statikih sustava i optereenja (slobodno oslonjena greda i polje kontinuiranog nosaa, u kombinaciji s raznim tipovima kontinuiranog i koncentriranog optereenja). Kljune rijei: armirani beton, ploe, grede, presjeci, progib, kompjutorski program Co5x5xnB!Ix2{xTw2wT5x5xn Zorislav Sori, Tomislav Kiiek, Igor Gukov, Nina Bjelajac Program za proraun progiba AB nosaa Saetak: Program za proraun progiba sastoji se od sedam potprograma (ulaz, materijal, presjek1, presjek2, statika, progib, ispis). Proraun s  #$')*+,-./012478;=>?@ABCDEFGHJOQRSTUVX[\_abcdefghijklnqruwxyz{|}~e provodi prema europskim normama br. 1992. (EC2) za naponska stanja I i II. Uzima se u obzir optereenje, dimenzije nosaa te puzanje i skupljanje betona. Programom su predviene dvije vrste poprenih presjeka (pravokutni i T- presjek) te devet kombinacija statikih sustava i optereenja (slobodno oslonjena greda i polje kontinuiranog nosaa, u kombinaciji s raznim tipovima kontinuiranog i koncentriranog optereenja). Kljune rijei: armirani beton, ploe, grede, presjeci, progib, kompjutorski program Computer Program for Computing Deflection of RC Girders Summary: Program for computing deflections consists of seven subroutines (input, material, cross-section1, cross-section2, design, deflection, print). Calculation according to Euronorm 1992. (EC2) takes into account stress-state I and stress-state II. Dead and live load, creep and shrinkage are taken into account as well. Two kinds of cross sections are predicted (rectangular and T-beam). Nine types of static systems and loads are taken into account (free supported beam and one span of continuous girder, together with different types of distributed and concentrated loads). Key words: reinforced concrete, plates, beams, cross-sections, deflection, software 1. Uvod Pri proraunu elemenata armiranobetonskih konstrukcija potrebno je provjeravati granina stanja uporabljivosti od kojih je vrlo vano granino stanje progiba. S obzirom da se u u skorijoj budunosti u Hrvatskoj planira koritenje hrvatskih propisa baziranih na europskoj normi za armiranobetonske konstrukcije (EC2) napravljen je ovaj kompjutorski program da bi se olakao proraun progiba. Program slijedi u potpunosti proceduru prorauna progiba prema EC 2 i sastoji se od sedam potprograma (procedura): ulaz, materijal, presjek1, presjek2, statika, progib, ispis. Glavna maska programa u kojoj se obavlja unos podataka i ispis rezultata napravljena je programom Delfi 2.0 i radi u Windows okruenju, a glavni program (koji proraunava progib) napravljen je u Turbo Pascalu 7.0. Maska programa se sastoji od tri osnovna dijela: 1.) prozor za unos gometrijskih karakteristika poprenog presjeka, 2.) prozor za odabir statikog sustava, unos optereenja, odabir materijala i unos koeficijenta puzanja i relativne deformacije od skupljanja, i 3.) naredba koja pokree glavni program za proraun progiba. 2. Glavni program za proraun progiba U daljnjem dijelu teksta opisan je postupak prorauna progiba AB nosaa prema EC2, sa svim koritenim formulama u programu i njihovim objanjenjima. 2.1 Izvravanje programa zapoinje procedurom ulaz, itanjem svih potrebnih podataka: vrsta poprenog presjeka i njegove dimenzije, vrsta statikog sustava i veliine optereenja, te osnovnih karakteristika materijala iz datoteke koju kreira ulazni program. 2.2 U proceduri materijal se iz vrstoe betonskih valjaka raunaju: - vlana vrstoa betona:  EMBED Equation.2  (u N/mm2) - modul elastinosti betona:  EMBED Equation.2  (u N/mm2) Za zadanu starost betona u trenutku nanoenja optereenja i za izraunati pkKVEKx $KkKLK7KV $KL9L12LK7 $9L1LL2L $LLLL $L$M ML $$MsMoM M $sMMMoM $MNNM $N^N]NN $^NNN]N $NNNN $NIOKON $IOOOKO $OOOO $O4P8PO $4PPP8P $PPPP $PQ1&QP $Q1mQLuQ7&Q $mQLQkQVuQ7 $Qk RRxQV $ RYRcRRx $YRRRcR $RRSR $RDS4PS"S $DS4SfSTPS" $SfSSST $S0T=TS $0T~TT=T $~TTOT>T $TOU*UT> $UjUyU*U $jUU UyU $U VlV\U $VlVVfVV\ $VVVVfV $VVcWUV $VcBWSWWU $BWW W SW $W Wx Wj W $Wx .X ?X Wj $.X }XA X3 ?X $}XA X X X3 $X Y ,Y X $Y iY {Yz ,Y $C rY rYu Cu $NN N N--  (nosive u jednom smjeru)sastavljena reka, poto stvarna vrijednost pr +,89HIJKqy{56?A}- S STghijst`atuvwżuDW]8ceKuDW]8]cvKuDv8ceKuDv8]cvKuD\8ceKuD\8]cvKchuD\8ceKuD\8]cvK uDcUUccuDPccUc9YZklop~赬范~xvc uD`cuDTuD78ceKuD78]cvK uDcuDs uDkcuD`uD78ceKuD78]cvK uDc uDxXcuDJ uDBcuD5VcJ]cJ[cc uDw8eKuDw8]cvKuD-  !4567=>ABDEXYZ[bcfghi|}~ƽxuDB8]cvKuDn8ceKuDn8]cvK uD5cuD#uDB8ceKuDB8]cvKuD uDuDB8ceKuDB8]cvKuDuDHuDR8ceKuDR8]cvK uDc uDccuD+~    $%&'YZmnopst﷮亂~uuD{8ceKuD{8]cvKuD{8ceKuD{8]cvKuD {8ceKuD {8]cvKuDu{8ceKuDu{8]cvKuDv{8ceKuDv{8]cvKVc uDiW8KuDiW8]cvKuDxdUcc uDcuDB8ceK.)*+,./BCDEJK^_`a  9:MNOP廲娟啌yuD~8ceKuD~8]cvKuD}8ceKuD}8]cvKuDQ8ceKuDQ8]cvKuDaQ8ceKuDaQ8]cvKuDQ8ceKuDQ8]cvKJ]cJ[cchc uDcuD{8ceKuD{8]cvK,mputer Program for Computing Deflection of RC Girders Summary: Program for computing deflections consists of seven subroutines (input, material, cross-section1, cross-section2, design, deflection, print). 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Key words: reinforced concrete, plates, beams, cross-sections, deflection, software 1. Uvod Pri proraunu elemenata armiranobetonskih konstrukcija potrebno je provjeravati granina stanja uporabljivosti od kojih je vrlo vano granino stanje progiba. S obzirom da se u u skorijoj budunosti u Hrvatskoj planira koritenje hrvatskih propisa baziranih na europskoj normi za armiranobetonske konstrukcije (EC2) napravljen je ovaj kompjutorski program da bi se olakao proraun progiba. Program slijedi u potpunosti proceduru prorauna progiba prema EC 2 i sastoji se od sedam potprograma (procedura): ulaz, materijal, presjek1, presjek2, statika, progib, ispis. Glavna maska programa u kojoj se obavlja unos podataka i ispis rezultata napravljena je programom Delfi 2.0 i radi u Windows okruenju, a glavni program (koji proraunava progib) napravljen je u Turbo Pascalu 7.0. Maska programa se sastoji od tri osnovna dijela: 1.) prozor za unos gometrijskih karakteristika poprenog presjeka, 2.) prozor za odabir statikog sustava, unos optereenja, odabir materijala i unos koeficijenta puzanja i relativne deformacije od skupljanja, i 3.) naredba koja pokree glavni program za proraun progiba. 2. Glavni program za proraun progiba U daljnjem dijelu teksta opisan je postupak prorauna progiba AB nosaa prema EC2, sa svim koritenim formulama u programu i njihovim objanjenjima. 2.1 Izvravanje prog:%::%::%:A:7%:7:#%:#:%::%::%E::%::%::%::%::%::%::z%:z:p%:p:p%::%::%::%::%::%::%::z%:z:p%:A1:7%':A1:-%N:AE:-%X:AE:7%1:z:p%1:':p%E:N:p%E:zX:p%:( 4YY   tRR??LL&&&&?)gRO?LL/&& &R|R?_?L&L9&&&|R_o?L9LB&&&!R?LLLL&&&&&|R_o?9LBL&&!&R|R?_?&L9L&&&?)gRO?L/L& &&RR??L&L&&&?)Rg?OL&L/& &RR|??_L&&L9&&|R_?oL9&LB&&!R?LL&LL&&&&|R_?o9L&BL&!&RR|??_&L&9L&&?)Rg?OL&/L &&RR??L&&L&&?)gRO?L/&L &&R|R?_?&L9&L&&|R_o?9LB&L&!&R?LLL&L&&&&|R_?oL9L&B&&!RR|??_L&L&9&&?)Rg?OLL&/& &TTTvvv45 "-- $",N ,4 " $,N '737,4 $"g -7g -7R "R %,P ,] %z, z,] %, ,] %+1 +] %A+} A+] %* *] %p* p*] %*_ *] %) )] %6) 6)] %(A (] %e(] e( %'] ' %'] '"%+'] +'n%&] &%Z&] Z&%%] %P%%] %% %] %%$] $1%O$] O$}%#] #%~#] ~#%#] #_%L-~ L-] %- -] %. .] %.` .] %. .] %V/ V/] %/B /] %(0 (0] %0 0] %0$ 0] %a1] a1o %1] 1 %22] 22%2] 2Q%3] 3%l3] l3%3] 33%=4] =4~%4] 4%5] 5%w5] w5`%5] 5%H6] Ole !PIC TWLMETA CompObjVXfObjInfoYEquation Native xOle 5PIC Z]3LMETA (CompObj\^&fObjInfo_%Equation Native "Ole KPIC `cILMETA <@CompObjbd:fObjInfoe9Equation Native 6Ole YPIC fiWLMETA PCompObjhjNfObjInfokMEquation Native L<Ole oPIC lomLMETA `8CompObjnp^fObjInfoq]Equation Native ZOle PIC ruLMETA vCompObjtvtfObjInfowsEquation Native pOle PIC x{LMETA CompObjz|fObjInfo}Equation Native POle PIC ~LMETA CompObjfObjInfoEquation Native POle PIC LMETA CompObjfObjInfoEquation Native POle PIC LMETA lCompObjfObjInfoEquation Native HOle PIC LMETA lCompObjfObjInfoEquation Native HOle PIC LMETA hCompObjfObjInfoEquation Native 4Ole PIC LMETA CompObjfObjInfoEquation Native Ole PIC LMETA CompObjfObjInfoEquation Native Ole PIC LMETA hCompObjfObjInfoEquation Native 4Ole 3PIC 1LMETA $,CompObj"fObjInfo!Equation Native Ole @PIC >LMETA 8|CompObj6fObjInfo5Equation Native 40Ole UPIC SLMETA FCompObjDfObjInfoCEquation Native ApOle jPIC hLMETA \CompObjZfObjInfoYEquation Native VOle PIC }LMETA pCompObjnfObjInfomEquation Native kOle PIC LMETA CompObjfObjInfoEquation Native `Ole PIC LMETA CompObjfObjInfoEquation Native Ole PIC LMETA CompObjfObjInfoEquation Native Ole PIC LMETA CompObjfObjInfoEquation Native LOle PIC LMETA CompObjfObjInfoEquation Native HOle PIC LMETA CompObjfObjInfoEquation Native HOle PIC LMETA TCompObjfObjInfoEquation Native TOle PIC LMETA  CompObjfObjInfoEquation Native Ole *PIC (LMETA CompObjfObjInfoEquation Native pOle <PIC :LMETA 0LCompObj.fObjInfo-Equation Native +HOle LPIC  JLMETA BCompObj  @fObjInfo ?Equation Native =POle ^PIC \LMETA R`CompObjPfObjInfoOEquation Native MPOle mPIC kLMETA dCompObjbfObjInfoaEquation Native _HOle {PIC yLMETA rCompObjpfObjInfooEquation Native n@Ole PIC  #LMETA CompObj"$fObjInfo%~Equation Native |HOle PIC &)LMETA CompObj(*fObjInfo+Equation Native xOle PIC ,/LMETA CompObj.0fObjInfo1Equation Native Ole PIC 25LMETA CompObj46fObjInfo7Equation Native Ole PIC 8;LMETA $CompObj:<fObjInfo=Equation Native ,Ole 4PIC >A2LMETA  D CompObj@C fObjInfoEquation Native BHrama zapoinje procedurom ulaz, itanjem svih potrebnih podataka: vrsta poprenog presjeka i njegove dimenzije, vrsta statikog sustava i veliine optereenja, te osnovnih karakteristika materijala iz datoteke koju kreira ulazni program. 2.2 U proceduri materijal se iz vrstoe betonskih valjaka raunaju: - vlana vrstoa betona:  EMBED Equation.2  (u N/mm2) - modul elastinosti betona:  EMBED Equation.2  (u N/mm2) Za zadanu starost betona u trenutku nanoenja optereenja i za izraunati pOle IPIC DGGLMETA ;CompObjFH9fObjInfoI8Equation Native 5Ole ZPIC JMXLMETA O CompObjLNMfObjInfoOLEquation Native J\Ole ~PIC PS|LMETA dCompObjRTbfObjInfoUaEquation Native [HOle PIC VYLMETA  CompObjXZfObjInfo[Equation Native \Ole PIC \_LMETA CompObj^`fObjInfoaEquation Native POle PIC beLMETA  CompObjdffObjInfogEquation Native 8Ole PIC hkLMETA CompObjjlfObjInfomEquation Native lOle +PIC nq)LMETA < CompObjpsfObjInfoEquation Native r(Ole ?PIC tw=LMETA 1CompObjvx/fObjInfoy.Equation Native ,|Ole PPIC z}NLMETA ECompObj|~CfObjInfoBEquation Native @TOle aPIC _LMETA V$CompObjTfObjInfoSEquation Native QTOle PIC LMETA j<CompObjhfObjInfogEquation Native b,      !"#$%&'()*+,-./0123456789:;|=>?@ABCDEFGHJ[KLMNOPQRSTUVWXYZ\l]^_`abcdefghijkm}nopqrstuvwxyz{|~------------ . . ........ /!/4/5/6/7/P/Q/d/e/f/g//00D1P1H2I2W2<4=444ȿ嵬奢{yyyss uDPUuD9ceKuD9]cvKuDh8UceKuDh8]cvKUc uDUcuDg8ceKuDg8]cvKuD]8ceKuD]8]cvKuDg8ceKuDg8]cvKc uDcuD8ceKuD8]cvK-PIC LMETA CompObjfObjInfoEquation Native Ole PIC LMETA CompObjfObjInfoEquation Native Ole PIC LMETA CompObjfObjInfoEquation Native 8Ole  PIC LMETA hCompObjfObjInfoEquation Native DOle PIC LMETA |CompObj fObjInfo Equation Native  `Ole IPIC GLMETA 'CompObj%fObjInfoEquation Native Ole wPIC uLMETA UCompObjSfObjInfoJEquation Native KOle PIC LMETA } CompObj{fObjInfozEquation Native x\Ole PIC LMETA  CompObjfObjInfoEquation Native \Ole PIC LMETA CompObjfObjInfoEquation Native TOle PIC LMETA CompObjfObjInfoEquation Native TOle PIC LMETA CompObjfObjInfoEquation Native POle PIC LMETA xCompObjfObjInfoEquation Native DPIC LMETA @*CompObjhObjInfoWordDocumentdgSummaryInformation(DocumentSummaryInformation8Ole PIC LMETA  CompObjfObjInfoEquation Native Ole  PIC LMETA CompObj fObjInfo Equation Native Ole 9PIC 7LMETA 'CompObj%fObjInfo$Equation Native !Ole RPIC PLMETA @CompObj>fObjInfo=Equation Native :Ole dPIC bLMETA XtCompObjVfObjInfoUEquation Native SPOle xPIC  vLMETA jCompObj hfObjInfo gEquation Native e\Ole PIC  LMETA ~CompObj|fObjInfo{Equation Native y|Ole PIC LMETA CompObjfObjInfoEquation Native hOle PIC LMETA CompObjfObjInfoEquation Native Ole PIC !LMETA @CompObj "fObjInfo#Equation Native TOle PIC $'LMETA 4CompObj&(fObjInfo)Equation Native pOle PIC *-LMETA CompObj,.fObjInfo/Equation Native l FMicrosoft Equation 2.0 DS Equation Equation.29q^  x .1  &@^ & MathType "-7Times New Roman CE- 2 @fi 2 3k 2 L 2 ri@Times New Roman CE- 2 Ptot5`5 2 G"tot5`5Symbol- 2 = 2 P 2 P@Times New Roman CE- 2 pF2`Times New Roman CE- 2 21 & "System-L^ OD}phJdmJTiJ 1r tot =1r m +1r csm FMicrosoft Equation 2.0 DS Equation Equation.29q;  P .1  `& _ & MathType "-@ATimes New Roman CE- 2 11 2 11 2 11 2 `ri 2 ari 2 "ri@Times New Roman CE- 2 Gtot5`5 2 Gm 2 GcsmTJSymbol- 2 >= 2 + & "System-L; <DVӌjJnJjJ 1r csII =e cs a e S II I II FMicrosoft Equation 2.0 DS Equation Equation.29q) "  .1   & c & MathType "-@' Times New Roman CE- 2 S1 2 `rk 2 MAS 2 Ik@Times New Roman CE- 2 fcsIIUJ@@ 2 NcsUJ 2 )eU 2  II@@ 2 fII@@Symbol- 2 = 2 MP 2 MP@Symbol- 2 Symbol- 2 Me 2 MBa & "System-L) "TXV jJnJjJ e cs FMicrosoft Equation 2.0 DS Equation Equation.29q  .1  `&  & MathTypePSymbol- 2 @9e@Times New Roman CE- 2 csUJ@Symbol- 2  & "System-L|,G҄jJnJjJ 1r csI =e cs a e S I I I FMicrosoft Equation 2.0 DS Equation Equation.29q "  .1   & h & MathType "-@i Times New Roman CE- 2 R1 2 `rk 2 HMS 2 Ik@Times New Roman CE- 2 gcsIUJ@ 2 .csUJ 2 !eU 2  I@ 2 gI@Symbol- 2 U= 2 HP 2 HP@Symbol- 2 Symbol- 2 He 2 H6a & "System-L "+X+ҀjJnJjJ 1r m =(1-z)1r I +z1r II  FMicrosoft Equation 2.0 DS Equation Equation.29q   .1   & ] & MathType "-@?  Times New Roman CE- 2 31 2 W1 2 31 2 3 1 2 `rk 2 rk 2 _ rk@Times New Roman CE- 2 Fm 2 FBI@ 2 F II@@Symbol- 2 = 2 - 2 :P 2  + 2  PTimes New Roman CE- 2 (k 2 )kSymbol- 2 z 2 z & "System-L lD+4hjJnJjJ ()1r csII ) FMicrosoft Equation 2.0 DS Equation Equation.29qh  .1  & & MathTypeP "-P{Times New Roman CE- 2 @6(k 2 @S)k 2 @1 2 @rk@Times New Roman CE- 2 csIIUJ@@ & "System-Lh,+4hjJnJjJ ()1r csI ) FMicrosoft Equation 2.0 DS Equation Equation.29q"  .1  & & MathTypeP "-P{Times New Roman CE- 2 @6(k 2 @)k 2 @1 2 @rk@Times New Roman CE- 2 csIUJ@ & "System-L"X,+4hjJnJjJ ()1r csm ) FMicrosoft Equation 2.0 DS Equation Equation.29q  .1   & & MathTypeP "-P{Times New Roman CE- 2 @6(k 2 @b)k 2 @1 2 @rk@Times New Roman CE- 2 csmUJ & "System-L,},hJdmJDiJ b 2 =1.0   FMicrosoft Equation 2.0 DS Equation Equation.29q 2 .1   & & MathTypePSymbol- 2 @-b@Times New Roman CE- 2 2`Times New Roman CE- 2 @1 2 @0Symbol- 2 @=Times New Roman CE- 2 @R.P 2 @8 PP & "System-L4,},hJlmJLiJ b 2 =0.5   FMicrosoft Equation 2.0 DS Equation Equation.29q 2 .1  @& & MathTypePSymbol- 2 @-b@Times New Roman CE- 2 2`Times New Roman CE- 2 @0 2 @5Symbol- 2 @=Times New Roman CE- 2 @t.P 2 @F PP & "System-LH,}hJXmJXiJ b 2 FMicrosoft Equation 2.0 DS Equation Equation.29q  .1  &` & MathTypePSymbol- 2 @-b@Times New Roman CE- 2 2` & "System-L,}dhJ`mJPiJ b 1 =0.5  za glatku armaturu FMicrosoft Equation 2.0 DS Equation Equation.29q T .1  `&  & MathTypePSymbol- 2 @-b@Times New Roman CE- 2 1`Times New Roman CE- 2 @0 2 @5Symbol- 2 @=Times New Roman CE- 2 @V.P2 @( za glatkPPPYY2 @ u armaturuPiYi & "System-L,}hiJdmJdiJ b 1 =1.0  za rebrastu armaturu      #%&'()*+,-./0279:;<=?BEGHIJKLMNOPQRTWX[]^_`abcdefgiloqrstuvwxyz{|~ FMicrosoft Equation 2.0 DS Equation Equation.29q ^ .1  @& & MathTypePSymbol- 2 @-b@Times New Roman CE- 2 1`Times New Roman CE- 2 @1 2 @u0Symbol- 2 @=Times New Roman CE- 2 @4.P2 @ za rebraPPPii2 @ stu armatu|YPiY 2 @ rui & "System-L ,}hJXmJXiJ b 1 FMicrosoft Equation 2.0 DS Equation Equation.29q  .1  &@ & MathTypePSymbol- 2 @-b@Times New Roman CE- 2 1` & "System-L,}ӀiJdmJdiJ z=1-b 1 b 2 s sr s s () 2 FMicrosoft Equation 2.0 DS Equation Equation.29q   .1  ` &`  & MathType "-L`L1 Symbol- 2 -z 2 b 2 b 2 ws 2 s 2 = 2 - 2 -P 2 :P 2 y 2 y 2 y 2 9 y 2 9 y 2 9 yTimes New Roman CE- 2 1@Times New Roman CE- 2 w1` 2 r2` 2 2` 2 Y srJ? 2  sJ & "System-L D}hJdmJTiJ z=0 FMicrosoft Equation 2.0 DS Equation Equation.29qN  .1  & & MathTypePSymbol- 2 @-z 2 @(=Times New Roman CE- 2 @20 & "System-LN,T\jJnJjJ s sr =M cr /(A s1 z) FMicrosoft Equation 2.0 DS Equation Equation.29q   .1   &@  & MathTypePSymbol- 2 @7s@Times New Roman CE- 2 srJ@ 2 crU@ 2 sJTimes New Roman CE- 2 @GM 2 @A 2 @6 zSymbol- 2 @3= 2 @PTimes New Roman CE- 2 @/Y 2 @<(k 2 @ )k@Times New Roman CE- 2 1` & "System-L ,GhpjJnJjJ M cr =f ct,m I 0 y 0d FMicrosoft Equation 2.0 DS Equation Equation.29qE h .1   & & MathType "-Times New Roman CE- 2 @@M 2 Jfi 2 JIk 2 7y@Times New Roman CE- 2 |crU@ 2 UctU5 2 ,m 2  d`Symbol- 2 @= 2 JP@Times New Roman CE- 2 ,0 2 &0` 2 0` & "System-LEldhjJnJjJ 1r II =e s1 d-y IIg FMicrosoft Equation 2.0 DS Equation Equation.29qE  .1  @& & MathType "-@ Times New Roman CE- 2 R1@Times New Roman CE- 2 71`Times New Roman CE- 2 `rk 2  d 2 y@Times New Roman CE- 2 gII@@ 2 sJ 2 gIIg@@`Symbol- 2 = 2 - 2 HHe & "System-LEllDhJ\mJ\iJ e s1 =s s /E s FMicrosoft Equation 2.0 DS Equation Equation.29qq a .1  & & MathTypePSymbol- 2 @9e 2 @ s@Times New Roman CE- 2 sJ 2 sJ 2 5sJTimes New Roman CE- 2 @SE@Times New Roman CE- 2 (1`Symbol- 2 @=Times New Roman CE- 2 @/Y & "System-GLq8,t|jJnJjJ 1r I =M Sd E c,eff I I FMicrosoft Equation 2.0 DS Equation Equation.29qDE t .1  &@ & MathType "-@\5Times New Roman CE- 2 P1 2 `rk 2 @M 2 E 2 Ik@Times New Roman CE- 2 hI@ 2 Sdj` 2 hcU 2 hceffU?? 2 hI@Symbol- 2 = 2 P@Times New Roman CE- 2 h-,0 & "System-LDEl+ҀjJnJjJ 1r m =(1-z)1r I +z1r II  FMicrosoft Equation 2.0 DS Equation Equation.29q   .1   & ] & MathType "-@?  Times New Roman CE- 2 31 2 W1 2 31 2 3 1 2 `rk 2 rk 2 _ rk@Times New Roman CE- 2 Fm 2 FBI@ 2 F II@@Symbol- 2 = 2 - 2 :P 2  + 2  PTimes New Roman CE- 2 (k 2 )kSymbol- 2 z 2 z & "System-L lD+0hjJnJjJ ()1r II ) FMicrosoft Equation 2.0 DS Equation Equation.29q  .1  `&  & MathTypeP "-P{Times New Roman CE- 2 @6(k 2 @)k 2 @1 2 @rk@Times New Roman CE- 2 II@@ & "System-L,+,hjJnJjJ ()1r I ) FMicrosoft Equation 2.0 DS Equation Equation.29qq  .1   & & MathTypeP "-P{Times New Roman CE- 2 @6(k 2 @t)k 2 @1 2 @rk@Times New Roman CE- 2 I@ & "System-Lq,+,`jJnJjJ ()1r m ) FMicrosoft Equation 2.0 DS Equation Equation.29q  .1  &@ & MathTypeP "-P{Times New Roman CE- 2 @9(k 2 @)k 2 @1 2 @rk@Times New Roman CE- 2 m & "System-L0,+8tjJnJjJ g g =g q =1.0 FMicrosoft Equation 2.0 DS Equation Equation.29q4 % .1  & & MathType`Symbol- 2 @?g 2 @g@Times New Roman CE- 2 g` 2 q`Symbol- 2 @= 2 @z=Times New Roman CE- 2 @f1 2 @$0 2 @.P & "System-     !"#$%&'),/123456789;>ACDEFGHIKNQSTUVWXYZ[]`cefghijlqstuvwxz}L4`@+hljJnJjJ M Sd =g g M g +g q M q FMicrosoft Equation 2.0 DS Equation Equation.29q 4 ; .1   &`  & MathType`Times New Roman CE- 2 @@M 2 @M 2 @ M@Times New Roman CE- 2 rSdj` 2 g` 2 g` 2 k q` 2  q`Symbol-META CompObj46fObjInfo7Equation Native ` 2 @= 2 @7P 2 @+ 2 @' P 2 @g 2 @g & "System-L 4@lThJXmJ8iJ s s =M Sd /(A s1 z) FMicrosoft Equation 2.0 DS Equation Equation.29qp   .1  ` &  & MathTypePSymbol- 2 @7s@Times New Roman CE- 2 sJ 2 -Sdk` 2 sJTimes New Roman CE- 2 @M 2 @A 2 @ zSymbol- 2 @= 2 @PTimes New Roman CE- 2 @v/Y 2 @(i 2 @ )i@Times New Roman CE- 2 1` & "System-Lp |,},hJdmJDiJ z=d-h f /2 FMicrosoft Equation 2.0 DS Equation Equation.29q " .1  @& & MathTypePTimes New Roman CE- 2 @@z 2 @2d 2 @"h@Times New Roman CE- 2 f?Symbol- 2 @(= 2 @#-Times New Roman CE- 2 @/Y 2 @R2 & "System-L,V4pjJnJjJ y IIg >h f FMicrosoft Equation 2.0 DS Equation Equation.29q4  .1  &` & MathType`Times New Roman CE- 2 @@y 2 @Sh@Times New Roman CE- 2 IIg@@` 2 f?Symbol- 2 @M> & "System-L4@+4ljJnJjJ z=d-y IIg /3 FMicrosoft Equation 2.0 DS Equation Equation.29q!4 % .1  `&  & MathType`Times New Roman CE- 2 @@z 2 @d 2 @y@Times New Roman CE- 2 IIg@@`Symbol- 2 @= 2 @-Times New Roman CE- 2 @/Y 2 @3 & "System-JL!4@V,hjJnJjJ )1r csm FMicrosoft Equation 2.0 DS Equation Equation.29qq  .1   & & MathTypeP "-PTimes New Roman CE- 2 @"1 2 @)rk@Times New Roman CE- 2 csmUJ & "System-GLq,V$hjJnJjJ )1r m FMicrosoft Equation 2.0 DS Equation Equation.29q  .1  &` & MathTypeP "-PTimes New Roman CE- 2 @"1 2 @)rk@Times New Roman CE- 2 m & "System-L,V,hjJnJjJ )1r tot FMicrosoft Equation 2.0 DS Equation Equation.29q+  .1  & & MathTypeP "-PTimes New Roman CE- 2 @"1 2 @)rk@Times New Roman CE- 2 tot5`5 & "System-L+,\hJ\mJ\iJ f tot =kL 2 1r tot FMicrosoft Equation 2.0 DS Equation Equation.29q^  x .1  &@^ & MathType "-7Times New Roman CE- 2 @fi 2 3k 2 L 2 ri@Times New Roman CE- 2 Ptot5`5 2 G"tot5`5Symbol- 2 = 2 P 2 P@Times New Roman CE- 2 pF2`Times New Roman CE- 2 21 & "System-L^ OD+Ҝ\jJnJjJ S II =A s1 (d-y IIg )-A s2 (y IIg -d 2 ) FMicrosoft Equation 2.0 DS Equation Equation.29q4  .1  & & MathType`Times New Roman CE- 2 @,S 2 @A 2 @#d 2 @y 2 @d A 2 @ y 2 @d@Times New Roman CE- 2 II@@ 2 sJ 2 IIg@@` 2 j sJ 2 } IIg@@`Symbol- 2 @= 2 @ - 2 @w - 2 @-@Times New Roman CE- 2 31` 2  2` 2 s2`Times New Roman CE- 2 @(k 2 @)k 2 @H (k 2 @)k & "System-L4 @+Ґ\jJnJjJ S I =A s1 (d-y Ig )-A s2 (y Ig -d 2 ) FMicrosoft Equation 2.0 DS Equation Equation.29q4  .1  & & MathType`Times New Roman CE- 2 @,S 2 @A 2 @d 2 @y 2 @ A 2 @E y 2 @d@Times New Roman CE- 2 I@ 2 sJ 2 {Ig@` 2  sJ 2  Ig@`Symbol- 2 @= 2 @- 2 @- 2 @-@Times New Roman CE- 2 1` 2 9 2` 2 2`Times New Roman CE- 2 @p(k 2 @J)k 2 @ (k 2 @B)k & "System-L4 @jJnJtjJ I II =b eff h f3 12+h f b eff y IIg -h f 2() 2 +b w 3(y IIg -h f ) 3 ++a e A s1 (d-y IIg ) 2 +(a e -1)A s2 (y IIg -d 2 ) 22  FMicrosoft Equation 2.0 DS Equation Equation.29q   .1   &` & MathType` "-\GTimes New Roman CE- 2 b6Ik 2 b 2 hh 2 bh 2 b b 2 b\ y 2 |h 2 gb 2 b(y 2 b(h 2 XA 2 Xid 2 X[ y 2 XA 2 X y 2 Xd@Times New Roman CE- 2 II@@ 2 effU?? 2  f? 2 f? 2  effU?? 2  IIg@@` 2 4f? 2 w 2 IIg@@` 2 f? 2 WeU 2 sJ 2  IIg@@` 2 eU 2 sJ 2 IIg@@`Symbol- 2 b= 2 P 2 b+ 2 bj P 2 b\- 2  z 2 ; z 2  z 2 z 2 ;z 2 z 2 bF+ 2 b*P 2 b(- 2 b+ 2 X+ 2 XP 2 XuP 2 X[- 2 Xf + 2 Xr- 2 X~P 2 X P 2 X -@Times New Roman CE- 2 3` 2 x2` 2 3` 2 1` 2  2` 2 P2` 2 2` 2 2`Times New Roman CE- 2 W12 2 W2 2 W3 2 XT1 2 b(k 2 b_)k 2 X(k 2 X )k 2 X] (k 2 X)k 2 X(k 2 XF)kSymbol- 2 Xta 2 X a & "System-L    !"#$%&'()*+,-./01367:<=>?@ABCDEFHKNPQRSTUVWY\]^_`cefghijklmnopqrstuvwxyz{},jJnJtjJ r II =A s1 /(b w d);k xII =-C II + C II  2 +D II C II =h f d()b eff b w -1()+B II ;D II =h f d() 2 b eff b w -1()+2A II FMicrosoft Equation 2.0 DS Equation Equation.29q$M  .1  @!&!` & MathType "-s  "-{- HpHpH@02 Symbol- 2 0r@Times New Roman CE- 2 II@@ 2 sJ 2 w 2  xII`@@ 2 II@@ 2 iII@@ 2 II@@ 2 B II@@ 2 lf? 2 leffU?? 2 87w 2 B II@@ 2 BII@@ 2 lrf? 2 lteffU?? 2 8w 2 Bk II@@Times New Roman CE- 2 A 2 b 2 " d 2  k 2 C 2 C 2 D 2 6C 2 h 2 1d 2 Pb 2 yb 2  B 2 D 2 h 2 d 2 b 2 b 2 cASymbol- 2 = 2 P 2 = 2 - 2 + 2 + 2 %= 2 4(z 2 (z 2 (z 2 4Hz 2 Hz 2 Hz 2 P 2  - 2 z 2 z 2 z 2  z 2  z 2  z 2  + 2 = 2 4z 2 z 2 z 2 4z 2 z 2 z 2 ~P 2 - 2 z 2 z 2 z 2 Hz 2 Hz 2 Hz 2 %+ 2 P@Times New Roman CE- 2 1` 2 2` 2 ^2`Times New Roman CE- 2 \ 1 2 1 2 2 2 /Y 2 (k 2  )k 2 e ;Y 2 i;Y & "System-L$M$+lhjJnJjJ y IId =h-y IIg =(1-k xII )h FMicrosoft Equation 2.0 DS Equation Equation.29q4 s .1  @& & MathType`Times New Roman CE- 2 @@y 2 @dh 2 @:y 2 @e k 2 @V h@Times New Roman CE- 2 IId@@` 2 IIg@@` 2 + xII`@@Symbol- 2 @Z= 2 @C- 2 @N= 2 @n - 2 @ PTimes New Roman CE- 2 @N(k 2 @: )k 2 @1 & "System-L4@+@tjJnJjJ y IIg =k xII h FMicrosoft Equation 2.0 DS Equation Equation.29qq4  .1  & & MathType`Times New Roman CE- 2 @@y 2 @^k 2 @h@Times New Roman CE- 2 IIg@@` 2 $xII`@@Symbol- 2 @T= 2 @YP & "System-Lq48@G,jJnJ0jJ I II =b eff y IIg3 3+a e A s1 (d-y IIg ) 2 +(a e -1)A s2 (y IIg -d 2 ) 2 FMicrosoft Equation 2.0 DS Equation Equation.29q#  .1   &` ` & MathType "-  LTimes New Roman CE- 2 `6Ik 2 `b 2 `ry 2 ` A 2 ` d 2 `iy 2 `A 2 `y 2 `d@Times New Roman CE- 2 II@@ 2 effU?? 2 *IIg@@` 2 q eU 2  sJ 2 !IIg@@` 2 eU 2 sJ 2 IIg@@`Symbol- 2 `= 2 `P 2 `+ 2 `! 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Kisicek&D:\My Documents\lanci\Progib-brio.doc T. Kisicek&D:\My Documents\lanci\Progib-brio.doc T. Kisicek&D:\My Documents\lanci\Progib-brio.doc T. Kisicek&D:\My Documents\lanci\Progib-brio.doc T. Kisicek&D:\My Documents\lanci\Progib-brio.doc T. Kisicek C:\WINDOWS\Progib-brio-final.doc T. Kisicek C:\WINDOWS\Progib-brio-final.doc T. Kisicek C:\WINDOWS\Progib-brio-final.doc T. Kisicek,D:\My Documents\lanci\Progib-brio-final.doc@HP LaserJet 6P/6MP - EnhancedLPT1:HPBXLAHP LaserJet 6P/6MP - EnhancedHP LaserJet 6P/6MP - EnhancedD ).X)HP LaserJet 6P/6MP - EnhancedD ).X)NNNN D]9KuvD]9@ pfghy%#2#E#F#G#g#h#%%%'&r&s&&&&&B)])))))**11222222201{w1|w0h1E1y!1E0!1E1E1E1E1w10w0&11w0'0(1e(1Dw1(1(1(0(0*)1+1+11,0@,0T,1,1Ew0O-0}w0<40e50f50q50r50s50t5JTimes New Roman Symbol &ArialTimes New Roman CE"1h1r%%f s%I-(W9JmHSTATIKI PRORAUN I DIMENZIONIRANJE KONTINUIRANE GREDE PREKO DVA RASPONAUnknown T. 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