S6 05-06 L - ir.hiof.no

Side 1 av 2

HØGSKOLEN I ØSTFOLD Avd. for ingeniørfag. Elementmetoden

HIØ MASKIN EGIL BERG M3A ELEMENTMETODEN

LØSNINGSFORSLAG S6 (PRØVE 4.3.97)

Fil: S6_05-06_L.doc

Vedlegg: Resultatfilene ELE_A.ANL, ELE_B.ANL OG ELE_C.ANL. OPPGAVE A) 1) Hvilken av stavene er mest belastet? Forklar hvordan du ser dette.

Stav 1 er mest belastet: IRtot_y = 0,927

2) Stav 1 har maksimalt moment der hvor kraften angriper. Mbmax = 250 kNm

3) Stav 3 har størst ekvivalentspenning σe = 201.4 MPa. Staven er kun

strekkbelastet. Derfor er spenningen like stor i hele staven. Sikkerhet mot flyting: nF = 1/IR = 1/0,943 = 1,06

4) Forskyvning av node 2 i kraftens retning: 20,9 mm 5) Bare stav 1 får utbøyning. Maks. utbøyning: 12,6 mm 3,5 meter fra node 1.

Total vertikal forskyvning 3,5 meter fra node 1: 12,6 + 20,9*3,5/6 = 12,6 + 12,2 = 24,8 mm Maksimalverdien på den totale forskyvningen blir større, vi finner den i anl filen: 26,2 mm 9/12*6 = 4,5 m fra node 1.

6) Vekten av rammen er: 8896 N dvs. 907 kg.

Denne finner du med kommandoen: OPPGAVE B)

1) BY = 0,7 (som tidligere). BZ = 0,5 (endepunktene er ikke helt stive. dvs. verdien vil egentlig være litt

større enn 0,5.)

2) Konstruksjonen vil tåle mindre fordi både stav 2 og stav 3 nå blir belastet med et bøyemoment i tillegg til tidligere strekkbelastningen. Stav 1 vil tåle mer fordi den blir stivere når rammen er sveist. Vi kan derfor velge et mindre profil på stav 1. Stav 1: IR = 0,86 Stav 2: IR = 1,28 Stav 3: IR = 1,42 .

Stav 1: Strong IRx 0,172IRm 0,755IRtot 0,927

Stav 2:Von Mieses: IR = 0,90 Stav 3:Von Mieses: IR = 0,943

Side 2 av 2

HØGSKOLEN I ØSTFOLD Avd. for ingeniørfag. Elementmetoden

3) Bestem hvilke HEB-profil vi nå bør bruke slik at rammens vekt blir minst mulig.

Hva blir rammens vekt nå?

Stav 1: HE280B, stav 2: HE160B, stav 3: HE220B. Vekten av rammen er: 10 303 N dvs. 1050 kg.

OPPGAVE C) Bestem hvilke profil som nå bør benyttes på de tre stavene når vi ønsker at rammens vekt skal være minst mulig. Hva blir rammens vekt nå?

Vekt: 7 292 N dvs. 743 kg

Stav 2: IPE180 (IR = 0,979) Stav 3: HE140B (IR = 0,943)

Stav 1 IPE500 Strong Irx 0,306 IRm 0,644 IRtot IR

0,950 0,782

Wednesday, February 15, 2006, 01:04 PM

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**************************************************** * * * STAAD.Pro * * Version 2005 Bld 1002.US * * Proprietary Program of * * Research Engineers, Intl. * * Date= FEB 15, 2006 * * Time= 11: 5: 9 * * * * USER ID: hiø * ****************************************************

1. STAAD SPACEINPUT FILE: S6a.STD 2. START JOB INFORMATION 3. ENGINEER DATE 14-FEB-06 4. END JOB INFORMATION 5. INPUT WIDTH 79 6. UNIT METER KN 7. JOINT COORDINATES 8. 1 0 0 0; 2 6 0 0; 3 1.5 2.59808 0 9. MEMBER INCIDENCES 10. 1 1 2; 2 3 2; 3 1 3 11. DEFINE MATERIAL START 12. ISOTROPIC STAAL 13. E 2.1E+008 14. POISSON 0.3 15. DENSITY 76.8195 16. ALPHA 1.2E-005 17. DAMP 0.03 18. ISOTROPIC STEEL 19. E 2.05E+008 20. POISSON 0.3 21. DENSITY 76.8195 22. ALPHA 1.2E-005 23. DAMP 0.03 24. END DEFINE MATERIAL 25. MEMBER PROPERTY EUROPEAN 26. 1 TABLE ST HE300B 27. 2 TABLE ST HE100B 28. 3 TABLE ST HE140B 29. CONSTANTS 30. MATERIAL STAAL MEMB 1 TO 3 31. *********** 32. MEMBER RELEASE 33. 2 3 START MZ 34. 2 3 END MZ 35. ***************** 36. SUPPORTS 37. 1 FIXED BUT MZ 38. 3 FIXED BUT FX MZ 39. LOAD 1 LOADTYPE NONE TITLE ELEMENTBEL KRAFT F 40. MEMBER LOAD

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STAAD SPACE -- PAGE NO. 2

41. 1 CON GY -300 5 42. ******************** 43. PERFORM ANALYSIS

P R O B L E M S T A T I S T I C S ----------------------------------- NUMBER OF JOINTS/MEMBER+ELEMENTS/SUPPORTS = 3/ 3/ 2 ORIGINAL/FINAL BAND-WIDTH= 2/ 2/ 9 DOF TOTAL PRIMARY LOAD CASES = 1, TOTAL DEGREES OF FREEDOM = 9 SIZE OF STIFFNESS MATRIX = 1 DOUBLE KILO-WORDS REQRD/AVAIL. DISK SPACE = 12.0/ 26075.9 MB

ZERO STIFFNESS IN DIRECTION 6 AT JOINT 3 EQN.NO. 9 LOADS APPLIED OR DISTRIBUTED HERE FROM ELEMENTS WILL BE IGNORED. THIS MAY BE DUE TO ALL MEMBERS AT THIS JOINT BEING RELEASED OR EFFECTIVELY RELEASED IN THIS DIRECTION. 44. *********************** 45. SECTION 0 0.833333 1 MEMB 1 46. PRINT MEMBER SECTION FORCES LIST 1




MEMBER FORCES AT INTERMEDIATE SECTIONS -------------------------------------- ALL UNITS ARE -- KN METE MEMB LOAD SEC SHEAR-Y SHEAR-Z MOM-Y MOM-Z

1 1 0.83 50.00 0.00 0.00 -250.00 ************** END OF LATEST ANALYSIS RESULT ************** 47. UNIT MMS NEWTON 48. PRINT MEMBER STRESSES LIST 1 TO 3




MEMBER STRESSES --------------- ALL UNITS ARE NEWT/SQ MMS MEMB LD SECT AXIAL BEND-Y BEND-Z COMBINED SHEAR-Y SHEAR-Z

1 1 .0 29.1 C 0.0 0.0 29.1 16.2 0.0 0.83 29.1 C 0.0 149.0 178.0 16.2 0.0 1.00 29.1 C 0.0 0.0 29.1 80.8 0.0 2 1 .0 192.3 T 0.0 0.0 192.3 0.0 0.0 1.00 192.3 T 0.0 0.0 192.3 0.0 0.0 3 1 .0 201.4 T 0.0 0.0 201.4 0.0 0.0 1.00 201.4 T 0.0 0.0 201.4 0.0 0.0 ************** END OF LATEST ANALYSIS RESULT ************** 49. PRINT JOINT DISPLACEMENTS LIST 2




JOINT DISPLACEMENT (CM RADIANS) STRUCTURE TYPE = SPACE ------------------ JOINT LOAD X-TRANS Y-TRANS Z-TRANS X-ROTAN Y-ROTAN Z-ROTAN

2 1 -0.0830 -2.0922 0.0000 0.0000 0.0000 0.0053 ************** END OF LATEST ANALYSIS RESULT ************** 50. PRINT SECTION DISPL LIST 1




MEMBER SECTION DISPLACEMENTS ---------------------------- UNIT =INCHES FOR FPS AND CM FOR METRICS/SI SYSTEM MEMB LOAD GLOBAL X,Y,Z DISPL FROM START TO END JOINTS AT 1/12TH PTS 1 1 0.0000 0.0000 0.0000 -0.0069 -0.4483 0.0000 -0.0138 -0.8847 0.0000 -0.0208 -1.2975 0.0000 -0.0277 -1.6749 0.0000 -0.0346 -2.0049 0.0000 -0.0415 -2.2758 0.0000 -0.0484 -2.4758 0.0000 -0.0553 -2.5930 0.0000 -0.0623 -2.6156 0.0000 -0.0692 -2.5318 0.0000 -0.0761 -2.3415 0.0000 -0.0830 -2.0922 0.0000 MAX LOCAL DISP = 1.25535 AT 350.00 LOAD 1 L/DISP= 477 ************ END OF SECT DISPL RESULTS *********** 51. STEEL TAKE OFF




STEEL TAKE-OFF -------------- PROFILE LENGTH(MMS ) WEIGHT(NEWT)

ST HE300B 6000.00 6867.664 ST HE100B 5196.15 1037.832 ST HE140B 3000.00 990.973 PRISMATIC STEEL 0.00 0.000 ---------------- TOTAL = 8896.468 ************ END OF DATA FROM INTERNAL STORAGE ************ 52. LOAD LIST 1 53. PARAMETER 54. CODE NS3472 55. FYLD 235 MEMB 1 56. MF 1.1 MEMB 1 57. ********** 58. BZ 1. MEMB 1 59. BY 0.7 MEMB 1 60. SSZ 1.4 MEMB 1 61. SSY 0 MEMB 1 62. *IKKE VIPPING 63. UNL 0 MEMB 1 64. RATIO 1 MEMB 1 65. TRACK 9 MEMB 1 TO 3 66. BEAM 1 MEMB 1 67. UNITS METER KNS 68. CHECK CODE MEMB 1 TO 3




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 1 MEMBER TYPE : IBEA SECTION : HE300B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 149.0 iy : 7.6 Ay : 33.0 iz : 13.0 Az : 76.0 Sy : 570.9 Ix : 185.0 Sz : 1678.0 Iy : 8563.0 Iw : 1687791.1 Iz : 25170.0 Lw : 0.3 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.976 Fd : 213.614 lamfy : 93.913 Gamma mk: 1.000 BUCKLING PARAMETERS UNITS KNEWTON METERS ------------------- STRONG AXIS WEAK AXIS LATERAL BUCKLING L : 6.000 L : 6.000 L : 0.003 beta : 1.000 beta : 0.700 ny : 1.000 lambda: 46.164 lambda: 55.403 alfaLT: 0.490 lambb : 0.492 lambb : 0.590 Mvd : 358.435 curve : B curve : C ksi : 0.888 ksi : 0.791 n/ksi : 0.153 n/ksi : 0.172 betaM : 1.400 betaM : 1.800 k : 1.082 k : 1.037 m : 0.697 m : 0.000 FORCES UNITS KNEWTON METERS --------------- STRONG AXIS WEAK AXIS/BUCKLING Fx : 433.012 C Fx : 433.012 C Ms : 0.000 Ms : 0.000 Mm : -150.000 Mm : 0.000 Me : 0.000 Me : 0.000 psi : 0.000 psi : 0.000 Mmax : 250.000 Mmax : 0.000 IRx : 0.172 IRx : 0.172 IRm : 0.755 IRm : 0.697 IRtot : 0.927 IRtot : 0.869 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 2 FORCES AT SECTION 5.000 sigax : 29.058 Fx : 433.012 C sigb : 148.972 Fy : 49.995 tau : 4.186 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 178.177 My : 0.000 IR : 0.834 Mz : -249.967 Governing interaction ratio 0.927




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 2 MEMBER TYPE : IBEA SECTION : HE100B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 26.0 iy : 2.5 Ay : 6.0 iz : 4.2 Az : 13.3 Sy : 33.4 Ix : 9.3 Sz : 90.0 Iy : 167.0 Iw : 3375.0 Iz : 450.0 Lw : 519.6 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.970 Fd : 213.609 FORCES UNITS KNEWTON METERS --------------- Fx : 499.999 T Msz : 0.000 Msy : 0.000 Mmz : 0.000 Mmy : 0.000 Mez : 0.000 Mey : 0.000 LATERAL BUCKLING -------- Mlatbuck: 0.000 Mvd : 13.788 IRtot : 0.000 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 4 FORCES AT SECTION 5.196 sigax : 192.288 Fx : 499.999 T sigb : 0.000 Fy : 0.000 tau : 0.000 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 192.288 My : 0.000 IR : 0.900 Mz : 0.000 Governing interaction ratio 0.900




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 3 MEMBER TYPE : IBEA SECTION : HE140B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 43.0 iy : 3.6 Ay : 9.8 iz : 5.9 Az : 22.4 Sy : 78.6 Ix : 20.1 Sz : 215.6 Iy : 550.0 Iw : 22478.8 Iz : 1509.0 Lw : 300.0 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.970 Fd : 213.609 FORCES UNITS KNEWTON METERS --------------- Fx : 866.025 T Msz : 0.000 Msy : 0.000 Mmz : 0.000 Mmy : 0.000 Mez : 0.000 Mey : 0.000 LATERAL BUCKLING -------- Mlatbuck: 0.000 Mvd : 41.678 IRtot : 0.000 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 4 FORCES AT SECTION 3.000 sigax : 201.381 Fx : 866.025 T sigb : 0.000 Fy : 0.000 tau : 0.000 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 201.381 My : 0.000 IR : 0.943 Mz : 0.000 Governing interaction ratio 0.943 ************** END OF TABULATED RESULT OF DESIGN ************** 69. FINISH *********** END OF THE STAAD.Pro RUN *********** **** DATE= FEB 15,2006 TIME= 11: 5: 9 **** ************************************************************ * For questions on STAAD.Pro, please contact * * Research Engineers Offices at the following locations * * * * Telephone Email * * USA: +1 (714)974-2500 [email protected] * * CANADA +1 (905)632-4771 [email protected] * * CANADA +1 (604)629 6087 [email protected] * * UK +44(1454)207-000 [email protected] * * FRANCE +33(0)1 64551084 [email protected] * * GERMANY +49/931/40468-71 [email protected] * * NORWAY +47 67 57 21 30 [email protected] * * SINGAPORE +65 6225-6015/16 [email protected] * * INDIA +91(033)2357-3575 [email protected] * * JAPAN +81(03)5952-6500 [email protected] * * CHINA +86(411)363-1983 [email protected] *




Information about the key files in the current distribution Modfication Date CRC Size (Bytes) File Name-----------------------------------------------------------------------------------------10/10/2005 0x3f41 11546624 SProStaad.exe12/16/2004 0xca81 04558848 SProStaadStl.exe10/16/2005 0xe101 00005350 sprostaad_patch.exe09/19/2003 0x2fc0 00081970 CMesh.dll10/10/2005 0xfac0 02441216 dbSectionInterface.dll01/23/2001 0x9b40 00073728 LoadGen.dll09/25/2003 0x6340 00704512 MeshEngine.dll09/22/2003 0xce00 00069632 QuadPlateEngine.dll04/16/2004 0x91c1 00139264 SurfMesh.dll09/30/2005 0x2dc1 00475136 AISCSections.mdb01/05/2005 0x79c1 00319488 aiscsections_all_editions.mdb01/05/2005 0x4b81 01810432 aiscsteeljoists.mdb01/05/2005 0xcac1 03651584 aitctimbersections.mdb01/27/2005 0xeb01 00552960 aluminumsections.mdb01/05/2005 0xcd01 00163840 australiansections.mdb01/05/2005 0x6a41 00229376 britishsections.mdb07/08/2005 0x9d41 00434176 bscoldformedsections.mdb06/28/2005 0x8201 00327680 butlercoldformedsections.mdb01/05/2005 0xabc0 00262144 canadiansections.mdb05/31/2005 0x9e81 00450560 canadiantimbersections.mdb05/05/2005 0x7f80 00409600 chinesesections.mdb01/05/2005 0xd6c0 00600064 dutchsections.mdb01/05/2005 0x1a00 00354304 europeansections.mdb01/05/2005 0xd301 00202752 frenchsections.mdb01/05/2005 0x11c1 00233472 germansections.mdb01/05/2005 0x3c40 00264192 indiansections.mdb01/05/2005 0xd540 00180224 iscoldformedsections.mdb02/03/2005 0x9c01 00202752 japanesesections.mdb10/05/2005 0xd081 00376832 Kingspancoldformedsections.mdb01/05/2005 0xb740 00174080 koreansections.mdb02/03/2005 0xda00 00096256 lysaghtcoldformedsections.mdb02/07/2005 0x9a00 00243712 mexicansteeltables.mdb02/03/2005 0x9b40 00307200 russiansections.mdb01/05/2005 0x9081 00206848 southafricansections.mdb01/06/2005 0x9341 00194560 spanishsections.mdb06/23/2005 0x2800 00204800 uscoldformedsections.mdb01/05/2005 0xbac0 00149504 usersectionstemplate.mdb01/05/2005 0x9d41 00141312 venezuelansections.mdb-----------------------------------------------------------------------------------------



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**************************************************** * * * STAAD.Pro * * Version 2005 Bld 1002.US * * Proprietary Program of * * Research Engineers, Intl. * * Date= FEB 15, 2006 * * Time= 11:13:45 * * * * USER ID: hiø * ****************************************************

1. STAAD SPACEINPUT FILE: S6b.STD 2. START JOB INFORMATION 3. ENGINEER DATE 14-FEB-06 4. END JOB INFORMATION 5. INPUT WIDTH 79 6. UNIT METER KN 7. JOINT COORDINATES 8. 1 0 0 0; 2 6 0 0; 3 1.5 2.59808 0 9. MEMBER INCIDENCES 10. 1 1 2; 2 3 2; 3 1 3 11. DEFINE MATERIAL START 12. ISOTROPIC STAAL 13. E 2.1E+008 14. POISSON 0.3 15. DENSITY 76.8195 16. ALPHA 1.2E-005 17. DAMP 0.03 18. ISOTROPIC STEEL 19. E 2.05E+008 20. POISSON 0.3 21. DENSITY 76.8195 22. ALPHA 1.2E-005 23. DAMP 0.03 24. END DEFINE MATERIAL 25. MEMBER PROPERTY EUROPEAN 26. 1 TABLE ST HE300B 27. 2 TABLE ST HE100B 28. 3 TABLE ST HE140B 29. CONSTANTS 30. MATERIAL STAAL MEMB 1 TO 3 31. *********** 32. *MEMBER RELEASE 33. *2 3 START MZ 34. *2 3 END MZ 35. ***************** 36. SUPPORTS 37. 1 FIXED BUT MZ 38. 3 FIXED BUT FX MZ 39. LOAD 1 LOADTYPE NONE TITLE ELEMENTBEL KRAFT F 40. MEMBER LOAD

Page 1 of 11D:\staad\S6_1.g_oppg_Løsn\S6b2.ANL





44. *********************** 45. SECTION 0 0.833333 1 MEMB 1 46. PRINT MEMBER SECTION FORCES LIST 1



















MEMBER SECTION DISPLACEMENTS ---------------------------- UNIT =INCHES FOR FPS AND CM FOR METRICS/SI SYSTEM MEMB LOAD GLOBAL X,Y,Z DISPL FROM START TO END JOINTS AT 1/12TH PTS 1 1 0.0000 0.0000 0.0000 -0.0068 -0.4020 0.0000 -0.0135 -0.8022 0.0000 -0.0203 -1.1881 0.0000 -0.0271 -1.5473 0.0000 -0.0338 -1.8675 0.0000 -0.0406 -2.1362 0.0000 -0.0474 -2.3410 0.0000 -0.0542 -2.4696 0.0000 -0.0609 -2.5096 0.0000 -0.0677 -2.4485 0.0000 -0.0745 -2.2857 0.0000 -0.0812 -2.0681 0.0000 MAX LOCAL DISP = 1.13464 AT 350.00 LOAD 1 L/DISP= 528 ************ END OF SECT DISPL RESULTS *********** 51. STEEL TAKE OFF ALL





ST HE300B 6000.00 6867.664 ST HE100B 5196.15 1037.832 ST HE140B 3000.00 990.973 PRISMATIC STEEL 0.00 0.000 ---------------- TOTAL = 8896.468 ************ END OF DATA FROM INTERNAL STORAGE ************ 52. LOAD LIST 1 53. PARAMETER 54. CODE NS3472 55. FYLD 235 MEMB 1 56. MF 1.1 MEMB 1 57. ********** 58. BZ 0.5 MEMB 1 59. BY 0.7 MEMB 1 60. SSZ 1.400000 MEMB 1 61. SSY 0.000000 MEMB 1 62. *IKKE VIPPING 63. UNL 0 MEMB 1 64. RATIO 1 MEMB 1 65. TRACK 9 ALL 66. BEAM 1 MEMB 1 67. CHECK CODE ALL




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 1 MEMBER TYPE : IBEA SECTION : HE300B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 149.0 iy : 7.6 Ay : 33.0 iz : 13.0 Az : 76.0 Sy : 570.9 Ix : 185.0 Sz : 1678.0 Iy : 8563.0 Iw : 1687791.1 Iz : 25170.0 Lw : 0.3 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.976 Fd : 213.614 lamfy : 93.913 Gamma mk: 1.000 BUCKLING PARAMETERS UNITS KNEWTON METERS ------------------- STRONG AXIS WEAK AXIS LATERAL BUCKLING L : 6.000 L : 6.000 L : 0.003 beta : 0.500 beta : 0.700 ny : 1.000 lambda: 23.082 lambda: 55.403 alfaLT: 0.490 lambb : 0.246 lambb : 0.590 Mvd : 358.435 curve : B curve : C ksi : 0.984 ksi : 0.791 n/ksi : 0.135 n/ksi : 0.168 betaM : 1.400 betaM : 1.800 k : 1.036 k : 1.036 m : 0.669 m : 0.000 FORCES UNITS KNEWTON METERS --------------- STRONG AXIS WEAK AXIS/BUCKLING Fx : 423543.719 C Fx : 423543.719 C Ms : 22275632.000 Ms : 0.000 Mm :-135011264.000 Mm : 0.000 Me : -7701780.500 Me : 0.000 psi : 0.000 psi : 0.000 Mmax : 239869184.000 Mmax : 0.000 IRx : 0.168 IRx : 0.168 IRm : 0.693 IRm : 0.669 IRtot : 0.862 IRtot : 0.837 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 2 FORCES AT SECTION 5000.000 sigax : 28.423 Fx : 423543.719 C sigb : 142.935 Fy : 52.424 tau : 4.389 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 171.526 My : 0.000 IR : 0.803 Mz : -239.838 Governing interaction ratio 0.862




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 2 MEMBER TYPE : IBEA SECTION : HE100B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 26.0 iy : 2.5 Ay : 6.0 iz : 4.2 Az : 13.3 Sy : 33.4 Ix : 9.3 Sz : 90.0 Iy : 167.0 Iw : 3375.0 Iz : 450.0 Lw : 519.6 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.970 Fd : 213.609 FORCES UNITS KNEWTON METERS --------------- Fx : 490585.156 T Msz : 5967408.500 Msy : 0.000 Mmz : -867185.625 Mmy : 0.000 Mez : 7701780.500 Mey : 0.000 LATERAL BUCKLING -------- Mlatbuck: 0.000 Mvd : 13.788 IRtot : 0.000 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 2 FORCES AT SECTION 5196.154 sigax : 188.667 Fx : 490585.156 T sigb : 85.567 Fy : -2.630 tau : 1.315 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 274.243 My : 0.000 IR : 1.284 Mz : 7.701 Governing interaction ratio 1.284




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 3 MEMBER TYPE : IBEA SECTION : HE140B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 43.0 iy : 3.6 Ay : 9.8 iz : 5.9 Az : 22.4 Sy : 78.6 Ix : 20.1 Sz : 215.6 Iy : 550.0 Iw : 22478.8 Iz : 1509.0 Lw : 300.0 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.970 Fd : 213.609 FORCES UNITS KNEWTON METERS --------------- Fx : 863394.500 T Msz : -22275632.000 Msy : 0.000 Mmz : -8154111.500 Mmy : 0.000 Mez : -5967408.500 Mey : 0.000 LATERAL BUCKLING -------- Mlatbuck: 0.000 Mvd : 41.678 IRtot : 0.000 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 2 FORCES AT SECTION 0.000 sigax : 200.769 Fx : 863394.500 T sigb : 103.322 Fy : -9.413 tau : 2.795 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 304.130 My : 0.000 IR : 1.424 Mz : -22.273 Governing interaction ratio 1.424 ************** END OF TABULATED RESULT OF DESIGN ************** 68. FINISH *********** END OF THE STAAD.Pro RUN *********** **** DATE= FEB 15,2006 TIME= 11:13:45 **** ************************************************************ * For questions on STAAD.Pro, please contact * * Research Engineers Offices at the following locations * * * * Telephone Email * * USA: +1 (714)974-2500 [email protected] * * CANADA +1 (905)632-4771 [email protected] * * CANADA +1 (604)629 6087 [email protected] * * UK +44(1454)207-000 [email protected] * * FRANCE +33(0)1 64551084 [email protected] * * GERMANY +49/931/40468-71 [email protected] * * NORWAY +47 67 57 21 30 [email protected] * * SINGAPORE +65 6225-6015/16 [email protected] * * INDIA +91(033)2357-3575 [email protected] * * JAPAN +81(03)5952-6500 [email protected] * * CHINA +86(411)363-1983 [email protected] *







PAGE NO. 1

**************************************************** * * * STAAD.Pro * * Version 2005 Bld 1002.US * * Proprietary Program of * * Research Engineers, Intl. * * Date= FEB 15, 2006 * * Time= 11:26:30 * * * * USER ID: hiø * ****************************************************

1. STAAD SPACEINPUT FILE: S6b.STD 2. START JOB INFORMATION 3. ENGINEER DATE 14-FEB-06 4. END JOB INFORMATION 5. INPUT WIDTH 79 6. UNIT METER KN 7. JOINT COORDINATES 8. 1 0 0 0; 2 6 0 0; 3 1.5 2.59808 0 9. MEMBER INCIDENCES 10. 1 1 2; 2 3 2; 3 1 3 11. DEFINE MATERIAL START 12. ISOTROPIC STAAL 13. E 2.1E+008 14. POISSON 0.3 15. DENSITY 76.8195 16. ALPHA 1.2E-005 17. DAMP 0.03 18. ISOTROPIC STEEL 19. E 2.05E+008 20. POISSON 0.3 21. DENSITY 76.8195 22. ALPHA 1.2E-005 23. DAMP 0.03 24. END DEFINE MATERIAL 25. MEMBER PROPERTY EUROPEAN 26. 1 TABLE ST HE280B 27. 2 TABLE ST HE160B 28. 3 TABLE ST HE220B 29. CONSTANTS 30. MATERIAL STAAL MEMB 1 TO 3 31. *********** 32. *MEMBER RELEASE 33. *2 3 START MZ 34. *2 3 END MZ 35. ***************** 36. SUPPORTS 37. 1 FIXED BUT MZ 38. 3 FIXED BUT FX MZ 39. LOAD 1 LOADTYPE NONE TITLE ELEMENTBEL KRAFT F 40. MEMBER LOAD






44. *********************** 45. SECTION 0 0.833333 1 MEMB 1 46. PRINT MEMBER SECTION FORCES LIST 1
























ST HE280B 6000.00 6038.013 ST HE160B 5196.15 2167.471 ST HE220B 3000.00 2097.175 PRISMATIC STEEL 0.00 0.000 ---------------- TOTAL = 10302.659 ************ END OF DATA FROM INTERNAL STORAGE ************ 52. LOAD LIST 1 53. PARAMETER 54. CODE NS3472 55. FYLD 235 MEMB 1 56. MF 1.1 MEMB 1 57. ********** 58. BZ 0.5 MEMB 1 59. BY 0.7 MEMB 1 60. SSZ 1.400000 MEMB 1 61. SSY 0.000000 MEMB 1 62. *IKKE VIPPING 63. UNL 0 MEMB 1 64. RATIO 1 MEMB 1 65. TRACK 9 ALL 66. BEAM 1 MEMB 1 67. CHECK CODE ALL




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 1 MEMBER TYPE : IBEA SECTION : HE280B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 131.0 iy : 7.1 Ay : 29.4 iz : 12.1 Az : 67.2 Sy : 471.1 Ix : 144.0 Sz : 1376.4 Iy : 6595.0 Iw : 1130154.4 Iz : 19270.0 Lw : 0.3 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.976 Fd : 213.614 lamfy : 93.913 Gamma mk: 1.000 BUCKLING PARAMETERS UNITS KNEWTON METERS ------------------- STRONG AXIS WEAK AXIS LATERAL BUCKLING L : 6.000 L : 6.000 L : 0.003 beta : 0.500 beta : 0.700 ny : 1.000 lambda: 24.735 lambda: 59.194 alfaLT: 0.490 lambb : 0.263 lambb : 0.630 Mvd : 294.017 curve : B curve : C ksi : 0.977 ksi : 0.767 n/ksi : 0.146 n/ksi : 0.186 betaM : 1.400 betaM : 1.800 k : 1.042 k : 1.043 m : 0.707 m : 0.000 FORCES UNITS KNEWTON METERS --------------- STRONG AXIS WEAK AXIS/BUCKLING Fx : 400183.312 C Fx : 400183.312 C Ms : 70505728.000 Ms : 0.000 Mm : -96585784.000 Mm : 0.000 Me : -36322632.000 Me : 0.000 psi : 0.000 psi : 0.000 Mmax : 207980112.000 Mmax : 0.000 IRx : 0.186 IRx : 0.186 IRm : 0.737 IRm : 0.707 IRtot : 0.923 IRtot : 0.894 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 2 FORCES AT SECTION 5000.000 sigax : 30.545 Fx : 400183.312 C sigb : 151.086 Fy : 55.692 tau : 5.300 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 181.863 My : 0.000 IR : 0.851 Mz : -207.953 Governing interaction ratio 0.923




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 2 MEMBER TYPE : IBEA SECTION : HE160B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 54.3 iy : 4.0 Ay : 12.8 iz : 6.8 Az : 27.7 Sy : 111.1 Ix : 31.2 Sz : 311.5 Iy : 889.0 Iw : 47943.2 Iz : 2492.0 Lw : 519.6 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.970 Fd : 213.609 FORCES UNITS KNEWTON METERS --------------- Fx : 468720.281 T Msz : 23331926.000 Msy : 0.000 Mmz : -6495352.500 Mmy : 0.000 Mez : 36322632.000 Mey : 0.000 LATERAL BUCKLING -------- Mlatbuck: 9433796.000 Mvd : 52.487 IRtot : 0.180 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 2 FORCES AT SECTION 5196.154 sigax : 86.312 Fx : 468720.281 T sigb : 116.594 Fy : -11.479 tau : 2.709 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 202.959 My : 0.000 IR : 0.950 Mz : 36.318 Governing interaction ratio 0.950




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 3 MEMBER TYPE : IBEA SECTION : HE220B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 91.0 iy : 5.6 Ay : 20.9 iz : 9.4 Az : 46.9 Sy : 258.5 Ix : 76.6 Sz : 735.5 Iy : 2843.0 Iw : 295418.0 Iz : 8091.0 Lw : 300.0 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.970 Fd : 213.609 FORCES UNITS KNEWTON METERS --------------- Fx : 854544.688 T Msz : -70505728.000 Msy : 0.000 Mmz : -23586902.000 Mmy : 0.000 Mez : -23331926.000 Mey : 0.000 LATERAL BUCKLING -------- Mlatbuck: 1433576.000 Mvd : 154.086 IRtot : 0.009 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 2 FORCES AT SECTION 0.000 sigax : 93.896 Fx : 854544.688 T sigb : 95.845 Fy : -31.276 tau : 4.337 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 189.890 My : 0.000 IR : 0.889 Mz : -70.496 Governing interaction ratio 0.889 ************** END OF TABULATED RESULT OF DESIGN ************** 68. FINISH *********** END OF THE STAAD.Pro RUN *********** **** DATE= FEB 15,2006 TIME= 11:26:30 **** ************************************************************ * For questions on STAAD.Pro, please contact * * Research Engineers Offices at the following locations * * * * Telephone Email * * USA: +1 (714)974-2500 [email protected] * * CANADA +1 (905)632-4771 [email protected] * * CANADA +1 (604)629 6087 [email protected] * * UK +44(1454)207-000 [email protected] * * FRANCE +33(0)1 64551084 [email protected] * * GERMANY +49/931/40468-71 [email protected] * * NORWAY +47 67 57 21 30 [email protected] * * SINGAPORE +65 6225-6015/16 [email protected] * * INDIA +91(033)2357-3575 [email protected] * * JAPAN +81(03)5952-6500 [email protected] * * CHINA +86(411)363-1983 [email protected] *







PAGE NO. 1

**************************************************** * * * STAAD.Pro * * Version 2005 Bld 1002.US * * Proprietary Program of * * Research Engineers, Intl. * * Date= FEB 15, 2006 * * Time= 11:34: 5 * * * * USER ID: hiø * ****************************************************

1. STAAD SPACEINPUT FILE: S6c.STD 2. START JOB INFORMATION 3. ENGINEER DATE 14-FEB-06 4. END JOB INFORMATION 5. INPUT WIDTH 79 6. UNIT METER KN 7. JOINT COORDINATES 8. 1 0 0 0; 2 6 0 0; 3 1.5 2.59808 0 9. MEMBER INCIDENCES 10. 1 1 2; 2 3 2; 3 1 3 11. DEFINE MATERIAL START 12. ISOTROPIC STAAL 13. E 2.1E+008 14. POISSON 0.3 15. DENSITY 76.8195 16. ALPHA 1.2E-005 17. DAMP 0.03 18. ISOTROPIC STEEL 19. E 2.05E+008 20. POISSON 0.3 21. DENSITY 76.8195 22. ALPHA 1.2E-005 23. DAMP 0.03 24. END DEFINE MATERIAL 25. MEMBER PROPERTY EUROPEAN 26. 1 TABLE ST IPE500 27. 2 TABLE ST IPE180 28. 3 TABLE ST HE140B 29. CONSTANTS 30. MATERIAL STAAL MEMB 1 TO 3 31. *********** 32. MEMBER RELEASE 33. 2 3 START MZ 34. 2 3 END MZ 35. ***************** 36. SUPPORTS 37. 1 FIXED BUT MZ 38. 3 FIXED BUT FX MZ 39. LOAD 1 LOADTYPE NONE TITLE ELEMENTBEL KRAFT F 40. MEMBER LOAD

Page 1 of 11D:\staad\S6_1.g_oppg_Løsn\S6c.ANL





ZERO STIFFNESS IN DIRECTION 6 AT JOINT 3 EQN.NO. 9 LOADS APPLIED OR DISTRIBUTED HERE FROM ELEMENTS WILL BE IGNORED. THIS MAY BE DUE TO ALL MEMBERS AT THIS JOINT BEING RELEASED OR EFFECTIVELY RELEASED IN THIS DIRECTION. 44. *********************** 45. SECTION 0 0.833333 1 MEMB 1 46. PRINT MEMBER SECTION FORCES LIST 1
























ST IPE500 6000.00 5346.637 ST IPE180 5196.15 954.007 ST HE140B 3000.00 990.973 PRISMATIC STEEL 0.00 0.000 ---------------- TOTAL = 7291.617 ************ END OF DATA FROM INTERNAL STORAGE ************ 52. LOAD LIST 1 53. PARAMETER 54. CODE NS3472 55. FYLD 235 MEMB 1 56. MF 1.1 MEMB 1 57. ********** 58. BZ 1 MEMB 1 59. BY 0.7 MEMB 1 60. SSZ 1.400000 MEMB 1 61. SSY 0.000000 MEMB 1 62. *IKKE VIPPING 63. UNL 0 MEMB 1 64. RATIO 1 MEMB 1 65. TRACK 9 ALL 66. BEAM 1 MEMB 1 67. CHECK CODE ALL




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 1 MEMBER TYPE : IBEA SECTION : IPE500 (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 116.0 iy : 4.3 Ay : 51.0 iz : 20.4 Az : 42.7 Sy : 214.2 Ix : 89.3 Sz : 1928.0 Iy : 2142.0 Iw : 1249365.1 Iz : 48200.0 Lw : 0.3 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.976 Fd : 213.614 lamfy : 93.913 Gamma mk: 1.000 BUCKLING PARAMETERS UNITS KNEWTON METERS ------------------- STRONG AXIS WEAK AXIS LATERAL BUCKLING L : 6.000 L : 6.000 L : 0.003 beta : 1.000 beta : 0.700 ny : 1.000 lambda: 29.435 lambda: 97.739 alfaLT: 0.490 lambb : 0.313 lambb : 1.041 Mvd : 411.837 curve : A curve : B ksi : 0.974 ksi : 0.571 n/ksi : 0.179 n/ksi : 0.306 betaM : 1.400 betaM : 1.800 k : 1.061 k : 1.116 m : 0.607 m : 0.000 FORCES UNITS KNEWTON METERS --------------- STRONG AXIS WEAK AXIS/BUCKLING Fx : 433012.125 C Fx : 433012.125 C Ms : 0.000 Ms : 0.000 Mm :-149999984.000 Mm : 0.000 Me : 0.000 Me : 0.000 psi : 0.000 psi : 0.000 Mmax : 249999952.000 Mmax : 0.000 IRx : 0.306 IRx : 0.306 IRm : 0.644 IRm : 0.607 IRtot : 0.950 IRtot : 0.913 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 2 FORCES AT SECTION 5000.000 sigax : 37.325 Fx : 433012.125 C sigb : 129.655 Fy : 49.995 tau : 2.510 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 167.036 My : 0.000 IR : 0.782 Mz : -249.967 Governing interaction ratio 0.950




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 2 MEMBER TYPE : IBEA SECTION : IPE180 (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 23.9 iy : 2.1 Ay : 9.5 iz : 7.4 Az : 9.7 Sy : 22.2 Ix : 4.8 Sz : 146.3 Iy : 101.0 Iw : 7431.2 Iz : 1317.0 Lw : 519.6 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.970 Fd : 213.609 FORCES UNITS KNEWTON METERS --------------- Fx : 499999.469 T Msz : 0.000 Msy : 0.000 Mmz : 0.000 Mmy : 0.000 Mez : 0.000 Mey : 0.000 LATERAL BUCKLING -------- Mlatbuck: 0.000 Mvd : 11.964 IRtot : 0.000 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 4 FORCES AT SECTION 5196.154 sigax : 209.183 Fx : 499999.469 T sigb : 0.000 Fy : 0.000 tau : 0.000 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 209.183 My : 0.000 IR : 0.979 Mz : 0.000 Governing interaction ratio 0.979




DETAILS FOR CHECKING ACCORDING TO NS3472 (VERSION 05001) MEMBER NO : 3 MEMBER TYPE : IBEA SECTION : HE140B (EUROPEAN SECTIONS) GOVERNING LOADCASE : 1 MEMBER PROPERTY UNITS CM --------------- Ax : 43.0 iy : 3.6 Ay : 9.8 iz : 5.9 Az : 22.4 Sy : 78.6 Ix : 20.1 Sz : 215.6 Iy : 550.0 Iw : 22478.8 Iz : 1509.0 Lw : 300.0 MATERIAL DATA UNITS NEWTON MMS --------------- E : 209979. Gamma : 1.100 Fy : 234.970 Fd : 213.609 FORCES UNITS KNEWTON METERS --------------- Fx : 866025.188 T Msz : 0.000 Msy : 0.000 Mmz : 0.000 Mmy : 0.000 Mez : 0.000 Mey : 0.000 LATERAL BUCKLING -------- Mlatbuck: 0.000 Mvd : 41.678 IRtot : 0.000 YIELD CHECK ----------- STRESS : NEW MMS FORCES: KNEW METERS STRESS AT POINT : 4 FORCES AT SECTION 3000.003 sigax : 201.381 Fx : 866025.188 T sigb : 0.000 Fy : 0.000 tau : 0.000 Fz : 0.000 tors : 0.000 Mx : 0.000 sige : 201.381 My : 0.000 IR : 0.943 Mz : 0.000 Governing interaction ratio 0.943 ************** END OF TABULATED RESULT OF DESIGN ************** 68. FINISH *********** END OF THE STAAD.Pro RUN *********** **** DATE= FEB 15,2006 TIME= 11:34: 5 **** ************************************************************ * For questions on STAAD.Pro, please contact * * Research Engineers Offices at the following locations * * * * Telephone Email * * USA: +1 (714)974-2500 [email protected] * * CANADA +1 (905)632-4771 [email protected] * * CANADA +1 (604)629 6087 [email protected] * * UK +44(1454)207-000 [email protected] * * FRANCE +33(0)1 64551084 [email protected] * * GERMANY +49/931/40468-71 [email protected] * * NORWAY +47 67 57 21 30 [email protected] * * SINGAPORE +65 6225-6015/16 [email protected] * * INDIA +91(033)2357-3575 [email protected] * * JAPAN +81(03)5952-6500 [email protected] * * CHINA +86(411)363-1983 [email protected] *






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