Povrsinski Nosaci

UNIVERZITET U NOVOM SADU GRAĐEVINSKI FAKULTET U SUBOTICI

POVRŠINSKI NOSAČI GRAFIČKI RAD

STUDENT: GATARIĆ MILOŠ

- 1 -

ZADATAK:

Za zadati nosač sa slike 1. nacrtati dijagram traženih vrednosti (npr. Mx, My, σx, σy itd.) u preseku koji je određen rastojanjem od početka nosača i definisan je oznakom y [m], usled delovanja zadatog opterećenja od vozila (četiri koncentrisane sile na mestu kontakta vozila sa nosačem), vrednosti P [kN], slika 2.

Slika 1.

Slika 2.

- 2 -

Položaj koncentrisanih sila na nosaču je konstantan i vidi se na slici 3.:

Slika 3.

Statički sistem nosača je prosta greda ukupnog raspona L = 50.0m. NAPOMENE:

- U radu se jasno mora prikazati odabrani raspored čvornih linija, sa adekvatnim rasporedom koordinata,

- Minimalan dozvoljeni broj čvornih linija je 30. - Promenu jedinica treba prikazati i obrazložiti - Dijagram se obavezno crta u razmeri i karakteristične vrednosti se

moraju naznačiti. (početak dijagrama, kraj dijagrama, mesto lomova čvorne linije, čvorne linije između kojih se nalazi promena znaka na dijagramu) Obavezno naznačiti jedinice u kojima je proračun rađen I u kojim jedinicama su dobijene vrednosti, isto naznačiti pored dijagrama.

Predmetni profesor

________________

- 3 -

Skica zadatkog površinskog nosača za koji je potrebno izračunati momenat Mz na udaljenju my 0.20= od početka nosača:

5000

Poprečni presek zadatog površinskog nosača:

150

50 125 50 125 50

400 150

80

20

100

20

60

700

Na sledećoj skici je prikazana diskretizacija poprečnog presek na srednjoj liniji i čvorne linije, kojima su ograničene konačne trake. Na konačnim trakama će se nanositi opterećenje za koje je potrebno izračunati momenat Mz.

1 6

8

15

18 28

25 322 3 4 5 31302927

10 12 14 20 22 24 26

7 9 11 13 17 19 21 23

1' 2' 3' 4' 5' 6' 8' 10' 12' 14' 17' 19' 21' 23' 25' 28' 30' 31' 32' 33'

27'

29'26'24'22'20'

16'

15'13'11'9'

7'

16

18'

Koordinate čvornih linija se čitaju sa skice na kojoj je prikazana diskretizacija poprečnog preseka, koordinatni sistem je postavljen u čvornoj liniji broj 1. Koordinate svake čvorne linije su potrebne za unos podataka za program MKTE1.EXE i date su tabelarno:

Koordinate čvornih linija Čvorna linija

X Z

1 0.0 0.0 2 35.0 0.0 3 70.0 0.0 4 105.0 0.0 5 140.0 0.0 6 175.0 0.0 7 210.0 0.0

- 4 -

8 175.0 80.0 9 245.0 0.0 10 210.0 80.0 11 280.0 0.0 12 245.0 80.0 13 315.0 0.0 14 280.0 80.0 15 350.0 0.0 16 315.0 80.0 17 385.0 0.0 18 350.0 80.0 19 420.0 0.0 20 385.0 80.0 21 455.0 0.0 22 420.0 80.0 23 490.0 0.0 24 455.0 80.0 25 525.0 0.0 26 490.0 80.0 27 560.0 0.0 28 525.0 80.0 29 595.0 0.0 30 630.0 0.0 31 665.0 0.0 32 700.0 0.0

Teretno vozilo je postavljeno prema slici br.1. Opterećenje od teretnog vozila data je na sledećoj šemi:

y=20m

PP

P P

2350 300 350

175

175

350

5000

Raspored sila na mestima točkova u odnosu na čvorne linije:

- 5 -

P P

1 6

8

15

18 28

25 322 3 4 5 31302927

10 12 14 20 22 24 26

7 9 11 13 17 19 21 23

1' 2' 3' 4' 5' 6' 8' 10' 12' 14' 17' 19' 21' 23' 25' 28' 30' 31' 32' 33'

27'

29'26'24'22'20'

16'

15'13'11'9'

7'

16

18'

Vrednosti sile: P=5kN Nakon definisanja opterećenja i geometrije nosača, potrebno je izračunati pomeranja. Formiran je fajl sa ulaznim podacima koji se koristi u programu MKTE1.EXE kako bi se izračunala pomeranja, momenti i naponi za zadati površinski nosač. Fajl sa ulaznim podacima, pored koordinata čvornih linija, položaja konačnih traka i zadatog opterećenja, sadrži jos i modul elastičnosti, Poissonov koeficijent I modul klizanja: E = 3000kN/cm² ν = 0.2 G = 1250kN/cm² Ulazni podaci sa proračunom ukupnih pomeranja i momenata površinskog nosača na udaljenju my 0.20= od početka nosača su: 10 33 32 2 1 4 16 1 4 5000.0000 2000.0000 0.0000 0.0000 35.0000 0.0000 70.0000 0.0000 105.0000 0.0000 140.0000 0.0000 175.0000 0.0000 210.0000 0.0000 175.0000 80.0000 245.0000 0.0000 210.0000 80.0000 280.0000 0.0000 245.0000 80.0000 315.0000 0.0000 280.0000 80.0000 350.0000 0.0000

- 6 -

315.0000 80.0000 385.0000 0.0000 350.0000 80.0000 420.0000 0.0000 385.0000 80.0000 455.0000 0.0000 420.0000 80.0000 490.0000 0.0000 455.0000 80.0000 525.0000 0.0000 490.0000 80.0000 560.0000 0.0000 525.0000 80.0000 595.0000 0.0000 630.0000 0.0000 665.0000 0.0000 700.0000 0.0000

1 1 2 20.00000 0.00000 2 2 3 20.00000 0.00000 3 3 4 20.00000 0.00000 4 4 5 20.00000 0.00000 5 5 6 20.00000 0.00000 6 6 7 20.00000 0.00000 7 6 8 50.00000 0.00000 8 7 9 20.00000 0.00000 9 8 10 50.00000 0.00000 10 9 11 20.00000 0.00000 11 10 12 20.00000 0.00000 12 11 13 20.00000 0.00000 13 12 14 20.00000 0.00000 14 13 15 20.00000 0.00000 15 14 16 20.00000 0.00000 16 15 18 50.00000 0.00000 17 15 17 50.00000 0.00000 18 16 18 20.00000 0.00000 19 17 19 20.00000 0.00000 20 18 20 20.00000 0.00000 21 19 21 20.00000 0.00000 22 20 22 20.00000 0.00000 23 21 23 20.00000 0.00000 24 22 24 20.00000 0.00000 25 23 25 20.00000 0.00000 26 24 26 20.00000 0.00000 27 25 28 50.00000 0.00000

- 7 -

28 25 27 20.00000 0.00000 29 26 28 50.00000 0.00000 30 27 29 20.00000 0.00000 31 29 31 20.00000 0.00000 32 30 31 50.00000 0.00000 33 31 32 20.00000 0.00000

1 1 1 1 1 1.0000 1.0000 1.0000 1.0000 32 1 1 1 1 1.0000 1.0000 1.0000 1.0000

6 2350.0000 3 5.00000 6 2650.0000 3 5.00000 16 2350.0000 3 5.00000 16 2650.0000 3 5.00000

3000.00000 3000.00000 0.20000 0.20000 1250.00000 1 POMERANJE ROTACIJA .36673190E-02 .10714720E-01 .49093500E+00 -.18808210E-04 .37143070E-02 .10639760E-01 .49030070E+00 -.17453360E-04 .37610980E-02 .10576110E-01 .48971270E+00 -.16147820E-04 .38078500E-02 .10523710E-01 .48917000E+00 -.14883180E-04 .38547210E-02 .10482490E-01 .48866990E+00 -.13703870E-04 .39018660E-02 .10452390E-01 .48820970E+00 -.12614990E-04 .39486510E-02 .10332190E-01 .48778330E+00 -.11707510E-04 .49108410E-02 -.13987230E-01 .48819120E+00 -.12611810E-04 .39946840E-02 .10222950E-01 .48739300E+00 -.10563380E-04 .48493370E-02 -.14066890E-01 .48777350E+00 -.11258150E-04 .40400790E-02 .10124570E-01 .48704650E+00 -.92076450E-05 .47883160E-02 -.14132280E-01 .48739660E+00 -.10275240E-04 .40850310E-02 .10036940E-01 .48675100E+00 -.76489310E-05 .47272670E-02 -.14212740E-01 .48705460E+00 -.92669570E-05 .41296890E-02 .99599610E-02 .48651320E+00 -.59134420E-05 .46659730E-02 -.14308360E-01 .48674830E+00 -.82416550E-05 .41741520E-02 .98518860E-02 .48632840E+00 -.46329510E-05

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.46042280E-02 -.14419270E-01 .48649150E+00 -.60531320E-05 .42192190E-02 .97376890E-02 .48617460E+00 -.40414470E-05 .45405240E-02 -.14484870E-01 .48629050E+00 -.53595980E-05 .42636930E-02 .96337850E-02 .48605160E+00 -.29020350E-05 .44767460E-02 -.14565900E-01 .48612170E+00 -.42220790E-05 .43076860E-02 .95400690E-02 .48597800E+00 -.12170930E-05 .44126730E-02 -.14662440E-01 .48600060E+00 -.26255550E-05 .43513400E-02 .94564450E-02 .48597220E+00 .96651120E-06 .43480890E-02 -.14774580E-01 .48594260E+00 -.63303900E-06 .43939380E-02 .92974000E-02 .48607300E+00 .47003750E-05 .42828160E-02 -.14887820E-01 .48594490E+00 .76447960E-06 .44353460E-02 .91482070E-02 .48629530E+00 .79094730E-05 .44757080E-02 .90087280E-02 .48662070E+00 .10589730E-04 .45151510E-02 .89005770E-02 .48701560E+00 .11965830E-04 .45540890E-02 .87957320E-02 .48745830E+00 .13335020E-04 2 POMERANJE ROTACIJA -.15607150E-18 -.84895190E-10 .19112460E-15 -.46155260E-19 -.90538980E-19 -.85154470E-10 .18954520E-15 -.44123940E-19 -.24060300E-19 -.85776060E-10 .18803400E-15 -.42261140E-19 .44254210E-19 -.86761910E-10 .18658500E-15 -.40569580E-19 .11530140E-18 -.88115060E-10 .18519210E-15 -.39056720E-19 .18998850E-18 -.89839670E-10 .18384900E-15 -.37720310E-19 .26357780E-18 -.87786620E-10 .18251570E-15 -.38267140E-19 .31988090E-17 .11748940E-09 .18381750E-15 -.37563370E-19 .33306400E-18 -.86104420E-10 .18118430E-15 -.37609380E-19 .31096410E-17 .11783310E-09 .18253790E-15 -.35576190E-19

- 9 -

.39934740E-18 -.84787700E-10 .17989700E-15 -.35753690E-19 .30265810E-17 .11722640E-09 .18129860E-15 -.35335200E-19 .46331910E-18 -.83832190E-10 .17869550E-15 -.32703550E-19 .29466850E-17 .11712540E-09 .18005810E-15 -.35648500E-19 .52585620E-18 -.83234650E-10 .17762180E-15 -.28451860E-19 .28687240E-17 .11753180E-09 .17879660E-15 -.36533600E-19 .59337640E-18 -.82055420E-10 .17664900E-15 -.27106830E-19 .27914660E-17 .11844840E-09 .17759810E-15 -.29070150E-19 .66273180E-18 -.80160600E-10 .17561750E-15 -.31171210E-19 .27024810E-17 .11777660E-09 .17650260E-15 -.32897350E-19 .72858780E-18 -.78602720E-10 .17451470E-15 -.31165910E-19 .26165830E-17 .11760900E-09 .17533960E-15 -.32932130E-19 .79179550E-18 -.77376510E-10 .17348320E-15 -.27104480E-19 .25325330E-17 .11794640E-09 .17424150E-15 -.29185270E-19 .85316470E-18 -.76477770E-10 .17266490E-15 -.18979750E-19 .24490880E-17 .11879140E-09 .17334090E-15 -.21648200E-19 .91841150E-18 -.74062690E-10 .17203080E-15 -.17221680E-19 .23601760E-17 .12022560E-09 .17262620E-15 -.19164240E-19 .97915440E-18 -.71958510E-10 .17146150E-15 -.15279570E-19 .10361500E-17 -.70158140E-10 .17096330E-15 -.13160020E-19 .10901030E-17 -.69333690E-10 .17053590E-15 -.11269420E-19 .11432630E-17 -.68612080E-10 .17017470E-15 -.93772600E-20 3 POMERANJE ROTACIJA -.62286260E-04 -.25945400E-03 .53109810E-02 -.23728690E-05 -.58810010E-04 -.26481250E-03 .52301320E-02 -.22502750E-05 -.55173830E-04 -.27270520E-03 .51532320E-02 -.21473240E-05

- 10 -

-.51269750E-04 -.28319690E-03 .50795700E-02 -.20656220E-05 -.46986450E-04 -.29637000E-03 .50083700E-02 -.20069970E-05 -.42208310E-04 -.31232460E-03 .49387830E-02 -.19737100E-05 -.37520800E-04 -.30056340E-03 .48657170E-02 -.21756760E-05 .11444150E-03 .40209000E-03 .49365340E-02 -.19500150E-05 -.33308200E-04 -.29163740E-03 .47882730E-02 -.22243910E-05 .10930860E-03 .40037440E-03 .48703950E-02 -.18322590E-05 -.29451650E-04 -.28549060E-03 .47117680E-02 -.21223930E-05 .10498550E-03 .39203600E-03 .48046820E-02 -.19341290E-05 -.25835520E-04 -.28208550E-03 .46414460E-02 -.18711140E-05 .10109890E-03 .38756420E-03 .47341880E-02 -.21061630E-05 -.22345310E-04 -.28140330E-03 .45825300E-02 -.14705920E-05 .97489120E-04 .38694570E-03 .46563890E-02 -.23521140E-05 -.18185600E-04 -.27612380E-03 .45316960E-02 -.14305910E-05 .93997010E-04 .39019330E-03 .45818090E-02 -.15461200E-05 -.13776510E-04 -.26565560E-03 .44695770E-02 -.20375490E-05 .89100800E-04 .38119550E-03 .45162860E-02 -.21220750E-05 -.97570060E-05 -.25766570E-03 .43947430E-02 -.21580000E-05 .84642890E-04 .37588960E-03 .44385490E-02 -.22449050E-05 -.60228060E-05 -.25210020E-03 .43241540E-02 -.17951950E-05 .80469860E-04 .37425350E-03 .43643940E-02 -.19175540E-05 -.24721830E-05 -.24892190E-03 .42747280E-02 -.94809500E-06 .76429050E-04 .37629000E-03 .43095790E-02 -.11393320E-05 .15935010E-05 -.23528620E-03 .42426490E-02 -.87936920E-06 .71783060E-04 .38269640E-03 .42727040E-02 -.96440320E-06 .51652850E-05 -.22383690E-03 .42135590E-02 -.77752170E-06

- 11 -

.83344440E-05 -.21449340E-03 .41885970E-02 -.64364950E-06 .11184700E-04 -.21185810E-03 .41679250E-02 -.53824210E-06 .13981460E-04 -.20992840E-03 .41509250E-02 -.43364560E-06 4 POMERANJE ROTACIJA -.13626270E-17 .17168260E-10 .57475290E-16 -.35470530E-19 -.13080500E-17 .18001940E-10 .56275370E-16 -.33185330E-19 -.12484140E-17 .19141750E-10 .55145830E-16 -.31460290E-19 -.11806270E-17 .20604810E-10 .54065790E-16 -.30368160E-19 -.11013990E-17 .22412100E-10 .53011740E-16 -.29989410E-19 -.10071910E-17 .24588680E-10 .51957130E-16 -.30416180E-19 -.91516460E-18 .23183970E-10 .50753870E-16 -.37578380E-19 .13886060E-17 -.31177780E-10 .51906660E-16 -.29687890E-19 -.83716160E-18 .22164820E-10 .49379050E-16 -.40247980E-19 .12981390E-17 -.30685150E-10 .50906970E-16 -.27516600E-19 -.76942930E-18 .21520660E-10 .47987410E-16 -.38554730E-19 .12322720E-17 -.29402330E-10 .49882020E-16 -.31450590E-19 -.70832450E-18 .21245380E-10 .46730420E-16 -.32558670E-19 .11796380E-17 -.28645260E-10 .48676710E-16 -.37850040E-19 -.65025970E-18 .21337290E-10 .45758640E-16 -.22249160E-19 .11352540E-17 -.28407400E-10 .47201670E-16 -.46898260E-19 -.57174750E-18 .20786490E-10 .44976700E-16 -.22325200E-19 .10941880E-17 -.28688500E-10 .45760580E-16 -.24497630E-19 -.48646140E-18 .19575990E-10 .43834300E-16 -.40648470E-19 .10124200E-17 -.27299110E-10 .44562160E-16 -.41836350E-19 -.41239420E-18 .18685090E-10 .42291330E-16 -.45254280E-19 .94443830E-18 -.26382850E-10 .42980690E-16 -.46428240E-19

- 12 -

-.34640230E-18 .18103790E-10 .40824780E-16 -.36288110E-19 .88570370E-18 -.25930650E-10 .41459070E-16 -.38424380E-19 -.28545010E-18 .17825770E-10 .39910200E-16 -.13684680E-19 .83176300E-18 -.25939030E-10 .40438460E-16 -.17773960E-19 -.20906530E-18 .16331620E-10 .39433540E-16 -.13373700E-19 .76143190E-18 -.26511860E-10 .39879400E-16 -.14075790E-19 -.14590350E-18 .15101610E-10 .38986350E-16 -.12009160E-19 -.93399970E-19 .14120870E-10 .38604680E-16 -.96361020E-20 -.49245450E-19 .13924030E-10 .38298160E-16 -.78933780E-20 -.62063750E-20 .13809460E-10 .38052170E-16 -.61746690E-20 5 POMERANJE ROTACIJA -.28472910E-04 .41575730E-04 .81536430E-03 -.58906480E-06 -.27504690E-04 .45273600E-04 .79565470E-03 -.53951010E-06 -.26385750E-04 .50173830E-04 .77742360E-03 -.50496570E-06 -.25027420E-04 .56392930E-04 .76010370E-03 -.48788480E-06 -.23331400E-04 .64072020E-04 .74303530E-03 -.49109340E-06 -.21187520E-04 .73379250E-04 .72545290E-03 -.51782510E-06 -.19113170E-04 .67511090E-04 .70319200E-03 -.73262090E-06 .19093580E-04 -.91741950E-04 .72416630E-03 -.49403280E-06 -.17461290E-04 .63385000E-04 .67563980E-03 -.82128840E-06 .17249050E-04 -.88837110E-04 .70776900E-03 -.44526250E-06 -.16110910E-04 .60935600E-04 .64711350E-03 -.78885850E-06 .16150170E-04 -.82965180E-04 .69054520E-03 -.55423370E-06 -.14946000E-04 .60128860E-04 .62180790E-03 -.63734190E-06 .15438910E-04 -.79463590E-04 .66786740E-03 -.75802980E-06 -.13852570E-04 .60961570E-04 .60389950E-03 -.36574060E-06

- 13 -

.14957140E-04 -.78277110E-04 .63628700E-03 -.10644380E-05 -.12151730E-04 .58771290E-04 .59075380E-03 -.38232120E-06 .14550040E-04 -.79394910E-04 .60428110E-03 -.43369880E-06 -.10284310E-04 .53898450E-04 .56714820E-03 -.90258040E-06 .12968020E-04 -.73009840E-04 .57953810E-03 -.92111800E-06 -.87437170E-05 .50380500E-04 .53198160E-03 -.10446660E-05 .11804660E-04 -.68615180E-04 .54386980E-03 -.10596690E-05 -.74350010E-05 .48156870E-04 .49836320E-03 -.81431370E-06 .10925370E-04 -.66135660E-04 .50936130E-03 -.85508620E-06 -.62675710E-05 .47190950E-04 .47936070E-03 -.20812820E-06 .10200730E-04 -.65532320E-04 .48804620E-03 -.30458930E-06 -.46539970E-05 .41673690E-04 .47177540E-03 -.22021440E-06 .90316450E-05 -.67239980E-04 .47884860E-03 -.21822720E-06 -.33933050E-05 .37184190E-04 .46429080E-03 -.20269480E-06 -.24142940E-05 .33638660E-04 .45791400E-03 -.15710900E-06 -.16545490E-05 .33000430E-04 .45298980E-03 -.12460860E-06 -.92234410E-06 .32666860E-04 .44919010E-03 -.92759760E-07 6 POMERANJE ROTACIJA -.91117300E-20 -.33883200E-12 .18483940E-18 -.14576650E-21 -.88759100E-20 -.39605240E-12 .18003140E-18 -.12982440E-21 -.85795000E-20 -.46841230E-12 .17568640E-18 -.11948520E-21 -.81894260E-20 -.55843940E-12 .17158840E-18 -.11592800E-21 -.76667320E-20 -.66913510E-12 .16747630E-18 -.12053300E-21 -.69653490E-20 -.80405150E-12 .16303720E-18 -.13490900E-21 -.61549290E-20 -.70884960E-12 .15526160E-18 -.29448620E-21 .35290170E-20 .99358210E-12 .16244260E-18 -.13803660E-21

- 14 -

-.55436330E-20 -.63878350E-12 .14343270E-18 -.36742280E-21 .29207120E-20 .93670640E-12 .15764150E-18 -.13609550E-21 -.50812100E-20 -.59223590E-12 .13050670E-18 -.35757000E-21 .25523250E-20 .83407530E-12 .14995010E-18 -.29200650E-21 -.47209140E-20 -.56821520E-12 .11935770E-18 -.26577250E-21 .23633780E-20 .76568310E-12 .13796460E-18 -.38239140E-21 -.44180140E-20 -.56633460E-12 .11288220E-18 -.89905010E-22 .22895040E-20 .72976240E-12 .12389480E-18 -.41165700E-21 -.39195010E-20 -.54164210E-12 .10960940E-18 -.96202990E-22 .22696250E-20 .72544470E-12 .11300500E-18 -.10998660E-21 -.33485480E-20 -.48110920E-12 .10314230E-18 -.25387090E-21 .18287480E-20 .63803380E-12 .10623040E-18 -.25898990E-21 -.28994750E-20 -.43740620E-12 .93171950E-19 -.29711300E-21 .15422970E-20 .57555630E-12 .96116750E-19 -.30149300E-21 -.25383060E-20 -.40949390E-12 .83650380E-19 -.22828420E-21 .13626950E-20 .53636500E-12 .86339330E-19 -.23986100E-21 -.22332620E-20 -.39675060E-12 .78517060E-19 -.45749340E-22 .12456250E-20 .51944950E-12 .80555760E-19 -.72735030E-22 -.17986550E-20 -.33915680E-12 .76767270E-19 -.52538620E-22 .10034180E-20 .53158230E-12 .78418010E-19 -.48593850E-22 -.14744040E-20 -.29326080E-12 .74953740E-19 -.49511780E-22 -.12372580E-20 -.25787590E-12 .73409380E-19 -.37220950E-22 -.10673550E-20 -.25466660E-12 .72241580E-19 -.29627350E-22 -.90377770E-21 -.25480130E-12 .71335310E-19 -.22245330E-22 7 POMERANJE ROTACIJA -.12852440E-04 -.97227630E-05 .23742330E-03 -.17519080E-06

- 15 -

-.12509600E-04 -.11971870E-04 .23180710E-03 -.14717510E-06 -.12048670E-04 -.14843560E-04 .22700530E-03 -.12908670E-06 -.11401360E-04 -.18474160E-04 .22262220E-03 -.12376180E-06 -.10483750E-04 -.23027660E-04 .21815410E-03 -.13455770E-06 -.91926100E-05 -.28701410E-04 .21296790E-03 -.16554030E-06 -.79810700E-05 -.24902970E-04 .20414210E-03 -.32313160E-06 .30897750E-05 .34961090E-04 .21202360E-03 -.14263390E-06 -.71388450E-05 -.22355080E-04 .19138960E-03 -.39134900E-06 .21775530E-05 .32376590E-04 .20763340E-03 -.11005570E-06 -.65459770E-05 -.20977420E-04 .17771380E-03 -.37661090E-06 .19089050E-05 .28500340E-04 .20327010E-03 -.15911220E-06 -.60903010E-05 -.20732630E-04 .16596670E-03 -.28117900E-06 .19393750E-05 .26301580E-04 .19506410E-03 -.33104710E-06 -.56624770E-05 -.21625320E-04 .15899190E-03 -.10327240E-06 .21177470E-05 .25700870E-04 .17853280E-03 -.63724290E-06 -.47446470E-05 -.20226690E-04 .15500520E-03 -.12215050E-06 .22987290E-05 .26679820E-04 .15955500E-03 -.16237400E-06 -.37588390E-05 -.17359010E-04 .14364590E-03 -.48304210E-06 .15629640E-05 .22507230E-04 .14745250E-03 -.48952980E-06 -.30352030E-05 -.15330650E-04 .12417450E-03 -.58790410E-06 .11718280E-05 .19549900E-04 .12797940E-03 -.58560840E-06 -.24924290E-05 -.14071900E-04 .10539150E-03 -.44388150E-06 .10142530E-05 .17698330E-04 .10907250E-03 -.45738550E-06 -.20561000E-05 -.13540950E-04 .96060060E-04 -.45968650E-07 .98959730E-06 .16884450E-04 .98623880E-04 -.10066530E-06 -.12898760E-05 -.11030900E-04 .93945200E-04 -.70910560E-07 .66883870E-06 .17319830E-04 .95919540E-04 -.51898750E-07

- 16 -

-.74464450E-06 -.90279390E-05 .91360350E-04 -.73181220E-07 -.37174140E-06 -.74580890E-05 .89068000E-04 -.54373770E-07 -.13120220E-06 -.71317540E-05 .87388890E-04 -.41788990E-07 .91299460E-07 -.69360030E-05 .86141600E-04 -.29627470E-07 8 POMERANJE ROTACIJA -.10902690E-17 .16804550E-11 .17387810E-16 -.11648060E-19 -.10649960E-17 .22923380E-11 .17029730E-16 -.89466200E-20 -.10274240E-17 .30598910E-11 .16750400E-16 -.72029160E-20 -.97043910E-18 .40311620E-11 .16510190E-16 -.67765560E-20 -.88473230E-18 .52638850E-11 .16255700E-16 -.80981260E-20 -.75827320E-18 .68281370E-11 .15916740E-16 -.11701900E-19 -.63880660E-18 .57207760E-11 .15177530E-16 -.28825290E-19 .78608490E-19 -.82090160E-11 .15812630E-16 -.93810080E-20 -.56132340E-18 .49865770E-11 .14011380E-16 -.36293480E-19 -.46111930E-20 -.73910510E-11 .15542490E-16 -.62215410E-20 -.51163040E-18 .45946550E-11 .12739290E-16 -.34973600E-19 -.17683210E-19 -.62790420E-11 .15270600E-16 -.11430070E-19 -.47671860E-18 .45305610E-11 .11662190E-16 -.25152340E-19 .10148070E-20 -.56613890E-11 .14588590E-16 -.29847800E-19 -.44400150E-18 .47957610E-11 .11080800E-16 -.65552780E-20 .33998910E-19 -.55072830E-11 .13009330E-16 -.63032130E-19 -.36028180E-18 .44044160E-11 .10814120E-16 -.84429170E-20 .64670900E-19 -.58092190E-11 .11146270E-16 -.12906410E-19 -.27247070E-18 .36412420E-11 .98501960E-17 -.42480140E-19 .41930160E-22 -.46738680E-11 .10101400E-16 -.43097360E-19 -.21204010E-18 .31068360E-11 .81204150E-17 -.52475840E-19

- 17 -

-.28706990E-19 -.38692010E-11 .83785220E-17 -.51894780E-19 -.17022610E-18 .27768870E-11 .64466540E-17 -.39299630E-19 -.33421020E-19 -.33550460E-11 .67084740E-17 -.40101310E-19 -.13921750E-18 .26367780E-11 .56464140E-17 -.23328150E-20 -.24425860E-19 -.31055250E-11 .58172730E-17 -.71908050E-20 -.76082100E-19 .20644790E-11 .55099680E-17 -.50699090E-20 -.43227990E-19 -.31628410E-11 .56381850E-17 -.28531930E-20 -.32818520E-19 .16133420E-11 .53174910E-17 -.55762700E-20 -.48140110E-20 .12614290E-11 .51434910E-17 -.40330050E-20 .11583250E-19 .11808040E-11 .50194860E-17 -.30734050E-20 .26299660E-19 .11287830E-11 .49282200E-17 -.21551130E-20 9 POMERANJE ROTACIJA -.60623880E-05 .23320450E-05 .87134580E-04 -.49751950E-07 -.59390370E-05 .36492950E-05 .85710720E-04 -.32392550E-07 -.57334790E-05 .52802190E-05 .84797530E-04 -.21006570E-07 -.53973820E-05 .73550840E-05 .84137320E-04 -.18460810E-07 -.48632650E-05 .10030870E-04 .83361380E-04 -.28278820E-07 -.40397090E-05 .13500420E-04 .81961890E-04 -.54934140E-07 -.33024830E-05 .10959550E-04 .78147440E-04 -.15286540E-06 -.38192830E-06 -.15995410E-04 .81248990E-04 -.34827720E-07 -.28652600E-05 .93325510E-05 .71916190E-04 -.19450850E-06 -.87033810E-06 -.14005670E-04 .80499480E-04 -.93465210E-08 -.26176070E-05 .85313090E-05 .65109850E-04 -.18646790E-06 -.83945740E-06 -.11554490E-04 .80632900E-04 -.47120410E-08 -.24595570E-05 .85181870E-05 .59413540E-04 -.13114150E-06 -.60082140E-06 -.10294300E-04 .78615410E-04 -.13364350E-06

- 18 -

-.22941290E-05 .93042890E-05 .56498830E-04 -.26918770E-07 -.28755180E-06 -.10142250E-04 .69564350E-04 -.40982230E-06 -.17660440E-05 .83606000E-05 .55310160E-04 -.39330250E-07 -.25970860E-07 -.11086670E-04 .57031300E-04 -.75519960E-07 -.12346510E-05 .66455660E-05 .49639110E-04 -.25787120E-06 -.43369050E-06 -.85191530E-05 .50704220E-04 -.26267360E-06 -.89528080E-06 .54607390E-05 .39047780E-04 -.32268570E-06 -.58796920E-06 -.67149560E-05 .40198860E-04 -.31620440E-06 -.68363110E-06 .47364080E-05 .28757400E-04 -.24084770E-06 -.57519840E-06 -.55579180E-05 .30052090E-04 -.24234300E-06 -.54404650E-06 .44306130E-05 .23952420E-04 -.74030910E-08 -.46772380E-06 -.49723490E-05 .24766800E-04 -.36815410E-07 -.19178990E-06 .33325180E-05 .23315130E-04 -.26376790E-07 -.53742170E-06 -.50241450E-05 .23918980E-04 -.10408780E-07 .41204520E-07 .24778780E-05 .22278030E-04 -.30568380E-07 .18439650E-06 .18131580E-05 .21331750E-04 -.21316600E-07 .26022090E-06 .16312800E-05 .20677540E-04 -.16204350E-07 .32499610E-06 .15009500E-05 .20196580E-04 -.11369080E-07 10 POMERANJE ROTACIJA -.19278210E-17 -.71159310E-12 .25227960E-16 -.11143380E-19 -.18950810E-17 -.13878210E-11 .24952800E-16 -.48284850E-20 -.18320600E-17 -.22114310E-11 .24866120E-16 -.56399840E-21 -.17206870E-17 -.32644510E-11 .24874750E-16 .38395860E-21 -.15338560E-17 -.46459650E-11 .24836050E-16 -.35662750E-20 -.12330550E-17 -.64792330E-11 .24544170E-16 -.14476120E-19 -.97059670E-18 -.50764280E-11 .23370840E-16 -.48880250E-19

- 19 -

-.36282770E-18 .75688110E-11 .24261050E-16 -.61809100E-20 -.82891380E-18 -.41992980E-11 .21355950E-16 -.63211410E-19 -.52744820E-18 .64227440E-11 .24234570E-16 .41566600E-20 -.76092090E-18 -.37880670E-11 .19145650E-16 -.60373630E-19 -.48320110E-18 .51157770E-11 .24718970E-16 .13810190E-19 -.72473090E-18 -.38182820E-11 .17316740E-16 -.41455360E-19 -.36153100E-18 .44813820E-11 .24507330E-16 -.36211560E-19 -.67974330E-18 -.42994020E-11 .16437890E-16 -.58416970E-20 -.21782760E-18 .44660660E-11 .21414150E-16 -.15244430E-18 -.49469000E-18 -.37785530E-11 .16147760E-16 -.10106520E-19 -.10448450E-18 .50658600E-11 .16662550E-16 -.25627690E-19 -.31592830E-18 -.28859870E-11 .14310260E-16 -.85536100E-19 -.24918570E-18 .37225370E-11 .14540320E-16 -.87719250E-19 -.21035950E-18 -.22786720E-11 .10776210E-16 -.10799060E-18 -.29699150E-18 .27905660E-11 .11043800E-16 -.10495180E-18 -.15243100E-18 -.19117820E-11 .73315810E-17 -.80504970E-19 -.28224850E-18 .21946810E-11 .76857130E-17 -.79867420E-19 -.12072050E-18 -.17584490E-11 .57456280E-17 -.10086610E-20 -.23252360E-18 .18856610E-11 .59662150E-17 -.10651610E-19 -.13752850E-19 -.12740970E-11 .55752420E-17 -.77892020E-20 -.24376920E-18 .18807240E-11 .57387190E-17 -.19257010E-20 .54710490E-19 -.90324180E-12 .52609930E-17 -.93573710E-20 .94845920E-19 -.61677670E-12 .49748080E-17 -.62311940E-20 .11411580E-18 -.52775470E-12 .47838110E-17 -.47331020E-20 .12959660E-18 -.46016610E-12 .46432030E-17 -.33349830E-20

- 20 -

TRAKA ČVOR 1 ČVOR 2 SIGMA –X SIGMA –Y SIGMA -XY MOMENT-X MOMENT-Y MOMENT-XY

1 1 2

-.13916E-04 -.19960E-01 .12823E-03 .18446E-04 -.19799E-01 .15185E-03 -.20213E-02 .37978E+00 .16385E-01 .20899E-02 .37991E+00 .15159E-01


2 2 3

-.30234E-05 -.19803E-01 .41436E-03 .25399E-04 -.19661E-01 .43954E-03 .17291E-02 .37992E+00 .15159E-01 .36970E-02 .37970E+00 .14154E-01


3 3 4

.15339E-04 -.19663E-01 .71265E-03 .40499E-04 -.19537E-01 .74038E-03 .22178E-02 .37943E+00 .14154E-01 .69262E-02 .37974E+00 .13408E-01


4 4 5

.39427E-04 -.19537E-01 .10267E-02 .62056E-04 -.19424E-01 .10581E-02 .75651E-02 .37988E+00 .13408E-01 .10554E-01 .37994E+00 .12987E-01


5 5 6

.67152E-04 -.19423E-01 .13606E-02 .88166E-04 -.19318E-01 .13971E-02 .96827E-02 .37984E+00 .12987E-01 .16788E-01 .38072E+00 .12952E-01


6 6 7

.64348E-04 -.19323E-01 -.12802E-02 .10270E-03 -.19131E-01 -.12447E-02 .29674E-01 .38336E+00 .12952E-01 .16570E-01 .38057E+00 .15516E-01

- 21 -


7 6 8

-.47182E-02 -.20279E-01 .13166E-02 .47027E-02 .26823E-01 .12970E-02 -.13444E-01 -.52820E-01 .20237E+00 .22956E-02 -.63918E-01 .19643E+00


8 7 9

.58754E-04 -.19140E-01 -.93340E-03 .96156E-04 -.18953E-01 -.90301E-03 .16054E-01 .38039E+00 .15516E-01 .56195E-02 .37844E+00 .16259E-01


9 8 10

-.10536E-04 .25880E-01 .86866E-03 .28898E-04 .26077E-01 .83158E-03 .49960E-02 .58976E+01 .19643E+00 .13117E-01 .58907E+01 .17674E+00

TRAKA ČVOR 1 ČVOR 2 SIGMA –X SIGMA –Y SIGMA -XY MOMENT-X MOMENT-Y MOMENT-XY 10 9 11

.52425E-04 -.18962E-01 -.60009E-03 .88514E-04 -.18781E-01 -.57323E-03 .39975E-02 .37819E+00 .16259E-01 -.64167E-02 .37623E+00 .15281E-01


11 10 12

.34539E-04 .26078E-01 .13289E-02 .67674E-04 .26244E-01 .13004E-02 .30019E-01 .38305E+00 .11311E-01 .19920E-01 .38048E+00 .12100E-01


12 11 13

.53193E-04 -.18788E-01 -.27524E-03 .87845E-04 -.18615E-01 -.25050E-03 -.69009E-02 .37603E+00 .15281E-01 -.17042E-01 .37417E+00 .12617E-01

- 22 -


13 12 14

.54780E-04 .26241E-01 .87604E-03 .89521E-04 .26415E-01 .85168E-03 .18809E-01 .38032E+00 .12100E-01 .93983E-02 .37808E+00 .14673E-01


14 13 15

.57016E-04 -.18621E-01 .46026E-04 .90332E-04 -.18455E-01 .70077E-04 -.17799E-01 .37397E+00 .12617E-01 -.24968E-01 .37236E+00 .82571E-02


15 14 16

.69231E-04 .26411E-01 .43188E-03 .10601E-03 .26595E-01 .40972E-03 .69783E-02 .37779E+00 .14673E-01 -.19022E-02 .37625E+00 .19191E-01


16 15 18

-.47034E-02 -.19413E-01 .91059E-03 .47197E-02 .27705E-01 .90911E-03 -.67906E-01 -.64767E-01 .12902E+00 .12322E+00 -.37588E-01 .14597E+00


17 15 17

.52407E-04 -.18462E-01 -.59926E-03 .90995E-04 -.18269E-01 -.56863E-03 .86526E-01 .59132E+01 .12902E+00 .29130E-01 .58985E+01 .12462E+00


18 16 18

.78095E-04 .26589E-01 -.10603E-04 .11700E-03 .26784E-01 -.32472E-04 -.43172E-02 .37584E+00 .19191E-01 -.71750E-01 .36340E+00 .93422E-02

- 23 -


19 17 19

.15154E-03 -.18257E-01 -.93287E-03 .19105E-03 -.18060E-01 -.90064E-03 .60142E-01 .38935E+00 .79760E-02 .22232E-01 .38198E+00 .14828E-01


20 18 20

-.18029E-04 .26757E-01 .12768E-02 .15629E-04 .26925E-01 .12416E-02 .49390E-01 .38734E+00 .93422E-02 .25353E-01 .38274E+00 .15619E-01


21 19 21

.15024E-03 -.18068E-01 -.63695E-03 .18733E-03 -.17882E-01 -.60849E-03 .25396E-01 .38255E+00 .14828E-01 -.36424E-02 .37753E+00 .16320E-01


22 20 22

-.73356E-05 .26921E-01 .85013E-03 .30085E-04 .27108E-01 .81952E-03 .23785E-01 .38241E+00 .15619E-01 .58522E-03 .37836E+00 .17014E-01


23 21 23

.15194E-03 -.17890E-01 -.35245E-03 .18632E-03 -.17718E-01 -.32664E-03 -.57840E-02 .37710E+00 .16320E-01 -.33815E-01 .37215E+00 .12554E-01


24 22 24

-.64600E-05 .27100E-01 .43486E-03 .35344E-04 .27309E-01 .40723E-03 -.27763E-02 .37775E+00 .17014E-01 -.26288E-01 .37371E+00 .13619E-01

- 24 -


25 23 25

.15961E-03 -.17723E-01 -.75719E-04 .19116E-03 -.17565E-01 -.51526E-04 -.33951E-01 .37210E+00 .12554E-01 -.60697E-01 .36715E+00 .34808E-02


26 24 26

-.16056E-04 .27299E-01 .25549E-04 .30515E-04 .27532E-01 -.54942E-06 -.27912E-01 .37334E+00 .13619E-01 -.46034E-01 .36991E+00 .53996E-02


27 25 28

-.47262E-02 -.18548E-01 .70505E-03 .47222E-02 .28691E-01 .69185E-03 .90951E-01 -.33949E-01 .54388E-01 .45680E-01 -.47447E-01 .57570E-01


28 25 27

.93076E-04 -.17585E-01 -.14145E-02 .15417E-03 -.17279E-01 -.13859E-02 -.15262E+00 .34866E+00 .34808E-02 -.12086E+00 .35502E+00 .23643E-02


29 26 28

-.29260E-04 .27520E-01 -.26462E-03 .16598E-04 .27749E-01 -.29549E-03 -.34306E-01 .59158E+01 .84369E-01 -.54314E-01 .59120E+01 .57570E-01


.48898E-04 -.17300E-01 -.11600E-02 .10644E-03 -.17013E-01 -.11352E-02 -.12261E+00 .35461E+00 .23643E-02 -.90387E-01 .36132E+00 .10010E-02

- 25 -


31 29 30

.13230E-04 -.17031E-01 -.91887E-03 .67016E-04 -.16762E-01 -.89721E-03 -.92676E-01 .36087E+00 .10010E-02 -.60176E-01 .36760E+00 -.58379E-03


32 30 31

-.15068E-04 -.16779E-01 -.21254E-03 .26003E-04 -.16573E-01 -.19332E-03 -.52191E-01 .59190E+01 -.91218E-02 .78814E-02 .59346E+01 -.24323E-01


-.17824E-04 -.16582E-01 -.12123E-03 .21917E-04 -.16383E-01 -.10244E-03 -.13999E-02 .37962E+00 -.15567E-02 -.15991E-02 .37996E+00 -.25186E-02

Skica dijagrama momenata Mz na my 0.20= od početka nosača:

0.0

1638

5

0.0

1515

9

0.0

1415

4

0.0

1340

8

0.0

1298

7

0.0

129

52

0.0

155

16

0.20237

0.19643

0.0

162

59

0.1

964

3

0.1

767

4

0.0

152

81

0.0

1131

1

0.0

12

100

0.0

126

17

0.0

14

673

0.1

29

02

0.0

19

191

0.12902

0.14597

0.0

08

257

1

0.1

24

62

0.0

093

422

0.0

07

976

0

0.0

148

28

0.0

15

619

0.0

163

20

0.0

17

014

0.0

125

54

0.0

13

619

0.0

03

480

8

0.0

053

996

0.057570

0.054388

0.0

02

364

3

0.0

84

369

0.0

57

570

0.0

010

01

-0.0

005

83

79-0

.00

9121

8-0

.02

432

3-0

.00

1556

7

-0.0

025

186

Napomena: mere na dijagramu su date u kN/cm²

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