3.trusses14

704 views

Published on

Published in: Technology, Business
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
704
On SlideShare
0
From Embeds
0
Number of Embeds
3
Actions
Shares
0
Downloads
0
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

3.trusses14

  1. 1. T.Chhay Trusses KWCaeRKOgbgÁúMmanragCaRbBn§½RtIekaN EdlekItBIkarpÁúMKñarvagr)arCaeRcInkMNat;. ragRtIekaN Truss CaeKalkarN_lMnwgrbs; truss. xageRkamCaRbePTénrUbragrbs; truss nigPaBmanlMnwgCaragRtIekaN nig PaBKμanlMnwgCaragctuekaNeRkamGMeBIénkMlaMgxageRkA. Warren truss Pratt roof truss Howe roof truss Fink roof truss Pratt bridge truss rUbTI1³ RbePT Truss P P Original shape Collapsed shape (a) Rigid, stable framework (b) Nonrigid, unstable framework kMNat;rbs; truss maneQμaHepSgKñaeTAtamTItaMg xageRkamCarUbbgðajBIkarehAeQμaHrbs;kMNat; nImYy². P1 U p p e r c h o rd P2 P3 P a n e l p o in ts B C D E F W eb m em ber W eb m em ber (v e rtic al) (d ia g o n a l) E n d p o st A G H I J K L L o w e r c h o rd R o lle r su p p o rt P in n e d su p p o rt P4 6 bays @ 5m 30m Trusses 28
  2. 2. T.Chhay enAeBl truss rgkMlaMgxageRkA EdlmanGMeBIcMRtg;tMNEdlkat;Kñarvagr)arBIrb¤eRcIn kMNat; nImYy²rbs; truss mantYrnaTIbBa¢ÚnkMlaMgxageRkAenaHmkTMr ehIykMNat;enaHrgnUvkMlaMgBIrepSgKña. kMlaMg TaMgBIrenaHrt;tamGkS½beNþayrbs;r)ar EdleFVIeGayr)arlUt b¤rYj EdleKehAfa kMlaMgcMGkS½ (axial forces or direct forces). r)arEdllUt Car)arEdlrgkMlaMgTaj ehIyr)arEdlrYjCar)arEdlrg kMlaMgsgát;. karviPaK truss rYmmankarkMNt;tMélénkMlaMgEdlr)arrg nigsPaBénGMeBI (Taj b¤sgát;). xageRkamCarUb bgðajBIsßanPaBénr)arrgkMlaMg. Longitudinal axis of member P P P (a) Axial compression (b) Axial tension edIm,Idwgfa truss mYyCa truss manlMnwgeKRtUvrkGBaØtielIstamrUbmnþxageRkam³ n = r +b−2f Edl n CacMnYnGBaØtielIs r cMnYnRbtikmμ ¬CaTUeTAesμI 3 GaRs½yelITMr¦ f cMnYntMN ebI n < 0 mann½yfa truss minmanlMnwg ebI n = 0 mann½yfa truss manlMnwg kMNt;kMlaMgkñúgrbs; truss tamsmIkarsþaTic ebI n > 0 mann½yfa truss manlMnwg EtminGackMNt;kMlaMgkñúg rbs; truss tamsmIkarsþaTiceT. edIm,IsMrYlkñúgkarviPaK truss eKRtUveFVIkarsnμt;nUvcMnucmYycMnYnxageRkam³ - RKb;kMNat;rbs; truss TaMgGs;RtUvsßitenAkñúgbøg;EtmYy. - bnÞúk nigRbtikmμRtUvGnuvtþn¾ EtenAelItMNrrbs; truss. - kMNat;rbs; truss RtUvP¢ab;Kña edaytMNrKμankkit. - RKb;Ggát;TaMgGs;RtUvEtRtg; ehIyCaGgát;rgkMlaMgBIr EdlkMlaMgenAcugsgxag énGgát;RtUvEtmantM élesμIKμa pÞúyKña nigrt;Rtg;Kña. - ExSskmμénkMlaMgkñúgénr)arRtUvEtcMGkS½. - bMErbMrYlRbEvgrbs;Ggát;EdlekItBIkMlaMgTaj b¤sgát;minmantMélRKb;RKan;EdleFIVeGaylkçN³ FrNImaRtrbs; truss ERbRbYleT. Trusses 29
  3. 3. T.Chhay - bnÞúkpÞal;rbs;Ggát;RtUv)anecal eRBaHvamantMéltUcNas;ebIeFobeTAnwg bnÞúkxageRkAEdlvaRT. EtRbsinebIbnÞúkxageRkArbs;vaRtUv)anrab;bBa©Úl vaRtUv)ansnμt;CabnÞúkcMcMnucEdlmanGMeBIrenAcug sgçagkMNat;. QrelIeKalkarN¾snμt;xagelI nigeRbInUvsmIkarlMnwgsþaTic eKGackMNt;kMlaMgkñúgrbs;kMNat; truss )antambIviFIsaRsþ KW viFItMNr method of joint viFImuxkat; method of section vIFIRkahVik Maxwell- Cremona. 1> viFItMNr method of joint sMrab;viFIenH eKcat;Tukfa truss mYymanlMnwgeTA)anluHRtaNaEtRKb;tMNrrbs;vamanlMnwg. enAkñúg karviPaK truss tamviFItMNr eKRtUvsikSaBItMNrNaEdlmanGBaØtiy:ageRcInBIr. GBaØtiKWCakMlaMgkñúgrbs; kMNat;r)ar truss. vIFIsaRsþkMNt;kMlaMgrbs;r)artamvIFItMNr³ - KNnakMlaMgRbtikmμrbs; truss edayeRbI Free body diagram sMrab; truss TaMgmUl. CMnYskMlaMgeRTt edaybgÁúMkMlaMgbBaÄr b¤kMlaMgedk. - pþac;tMNrnImYy² Ca Free body diagram edaybgðajRKb;kMlaMgTaMgGs;EdlmanGMeBIrelItMNrenaH. tMNrnImYy²sMEdgedayRbBn§½kMlaMgRbsBVkñúgbøg; nigcab;epþImecjBItMNrNaEdlmanGBaØtimineRcIn CagBIr. - edayGnuvtþn¾smIkarlMnwgsþaTicTaMgBIr ( ∑ F = 0 nig ∑ F = 0 ) enaHGBaØtiTaMgBIrsMrab;tMNrenaH y x RtUv)ankMNt;. ehIykMlaMgénr)arTaMgenH RtUveRbIsMrab;tMNrbnÞab;EdlP¢ab;edayr)arTaMgenH. sMrab;krNIxøH viFanRtIekaNdUcmansar³RbeyaCn¾CaxøaMgkñúgkaredaHRsaysmIkar. - eTaHCaminsMxan;k¾eday eKRtUvEtRtYtBinitücMelIyedayepÞógpÞat;tMNrNamYy edayeGay ∑ F = 0 y nig ∑ F = 0 . x - eRkayeBlEdlkMlaMgRKb;kMNat;r)arRtUv)anrkeXIj KUrnUvdüaRkamkMlaMgsegçbén truss enaH. ]TahrN¾³ P1 =10KN 2m P2 =10KN Warren truss EdlRTedayTMrsamBaØ rgnUvbnÞúkdUc B D bgðajkñúgrUb. kMNt;RbtikmμTMr nigkMlaMgénr)ar nImYy² edayeRbIvIFItMNr. truss RTedayTMr pin Rtg;cMnuc A ° ° 60 60° nigRTedayTMr roller Rtg;cMnuc E. 60 60 ° A E C P3 =10KN 2m 2m Trusses 30
  4. 4. T.Chhay dMeNaHRsay³ P1 =10KN 2m P2 =10KN truss RtUvmanlMnwg tamrUbmnþ n = r + b − 2 f B D r = 3 ( H A , V A , VB ) b = 7 ( AB, AC , BC , BD, CD, CE , DE ) f = 5 ( A, B, C , D, E ) 60° 60° ⇒ n = 3 + 7 − (2 × 5) = 0 60° 60° HA A E C dUcenH truss manlMnwgkMNt;tamsmIkarlMnwgsþaTic VA 2m P3 =10KN 2m VE 1> KNnaRbtikmμTMr Free body diagram ∑ FX = 0 ⇒ H A = 0 ∑ FY = 0 ⇒ V A − P1 − P2 − P3 + VE = 0 ⇒ V A + VE = P1 + P2 + P3 = 10 + 10 + 10 = 30 KN (1) ∑ M A = 0 ⇒ −1× P1 − 3 × P2 − 2 × P3 + 4VE = 0 P1 + 3P2 + 2 P3 10 + 30 + 20 ⇒ VE = = = 15KN 4 4 CMnYs V E = 15 KN kñúg (1) eyIg)an V A = 15 KN 2> kMNt;kMlaMgrbs;r)artamviFItMNr P1 =10KN P2 =10KN B FBD FBD D FBA FBC FDC FDE FAB FCB FCD FED FAC FCA 60° 60° HA =0 60° 60° FCE FEC E A C VA=15KN P3 =10KN VE =15KN tMNr A nigtMNr E CatMNrEdlmanGBaØtiBIr dUcenHtMNrTaMgBIrCatMNrEdleyIgGaccab;epþImedaHRsay)an - sikSalMnwgRtg;tMNr A edaykMlaMg F CakMlaMgeRTt dUcenHeyIgGacbMEbk)ankMlaMgpÁúMBIrKW V nig H . ehIykMlaMgTaMgbI AB AB AB pÁúMKña)anCaragRtIekaNEkg EdlmankMlaMg F CaGIub:UetnIs kMlaMg V CaRCugQm nig kMlaMgV CaRCugCab;. AB AB AB Trusses 31
  5. 5. T.Chhay eyIg)anplbUkkMlaMgRtg;tMNr A VAB FAB 60 ° ∑ Fy = 0 ⇒ V A + V AB = 0 HAB ⇒ V AB = −V A = −15 KN ∑ Fx = 0 ⇒ H A + FAC + H AB = 0 60° FAC ⇒ FAC = − H AB eday H A =0 HA =0 A − 15 eday tan 60 = H V AB ⇒ H AB = V AB = tan 60 tan 60 = −8.66 KN VA=15KN AB ⇒ FAC = 8.66 KN rgkMlaMgTaj − 15 eday sin 60 = V ⇒ F F AB AB = V AB = sin 60 sin 60 = −17.32 KN rgkMlaMgsgát; AB - sikSalMnwgRtg;tMNr B P1 =10KN ∑ Fy = 0 ⇒ − P1 − V AB − VBC = 0 ⇒ VBC = − P1 − V AB = −10 − (− 15) = 5 KN B FBD VBC 5 ⇒ H BC = = = 2.89 KN tan 60 tan 60 HBA=-8.66KN ⇒ FBC V = BC = 5 sin 60 sin 60 = 5.77 KN rgkMlaMgTaj HBC FBC VBA=-15KN FBA=-17.32KN VBC ∑ Fx = 0 ⇒ FBD − H BA + H BC = 0 ⇒ FBD = H BA − H BC = −8.66 − 2.89 = −11.55 KN rgkMlaMgsgát; - sikSalMnwgRtg;tMNr C FCB=5.77KN VCB=5KN VCD FCD ∑ Fy = 0 ⇒ VCB + VCD − P3 = 0 HCD HCB=2.89KN ⇒ VCD = P3 − VCB = 10 − 5 = 5 KN 60° 60° V 5 FCA=8.66KN FCE ⇒ H CD = CD = = 2.89 KN C tan 60 tan 60 V ⇒ FCD = CD = 5 sin 60 sin 60 = 5.77 KN rgkMlaMgTaj P3 =10KN ∑ Fx = 0 ⇒ − FCA − H CB + H CD + FCE = 0 ⇒ FCE = FCA + H CB − H CD = 8.66 + 2.89 − 2.89 = 8.66 KN rgkMlaMgsgát; eday truss rgnUvbnÞúksIuemRTI dUcenHkMlaMgkMNat;r)arRtg;tMNr E dUckMlaMgkMNat;r)arRtg;tMNr A ehIy kMlaMgkMNat;r)arRtg;tMNr D dUckMlaMgkMNat;r)arRtg;tMNr B. B 11.55C D 17 32C 5.7 7T .32 5.7 17. 7T C A 8.66T 8.66T E C Trusses 32
  6. 6. T.Chhay 2> viFImuxkat; method of section viFImuxkat;CaviFImYysMrab;kMNt;kMlaMgrbs;r)arNamYy EdleyIgcg;dwgeTaHCavaenAq¶ayBITMrk¾ eday edaymincaM)ac;eFVIkaredaHRsaytam lMdab;lMedaydUcviFItMNreT. sMrab;viFIenH truss RtUv)ankat;CaBIr kMNat;Rtg;r)arNaEdleKcg;dwgkMlaMg. vIFIsaRsþkMNt;kMlaMgrbs;r)artamviFImuxkat;³ - KNnakMlaMgRbtikmμrbs; truss edayeRbI Free body diagram sMrab; truss TaMgmUl. CMnYskMlaMgeRTt edaybgÁúMkMlaMgbBaÄr b¤kMlaMgedk. - kat;pþac; truss CaBIrkMNat;Rtg;r)arNaEdleKcg;dwg. bøg;kat;minRtUvmanr)arelIsBIbI EdlCaGBaØti elIkElgEt ExSskmμénkMNat;r)arkat;enaHRbsBVKñaRtg;cMnucNamYy. - edayGnuvtþn¾smIkarlMnwgsþaTicTaMgbI ( ∑ F = 0 , ∑ F = 0 nig ∑ M = 0 ) enaHkMlaMgrbs;kMNat; y x r)arEdlcg;dwgRtUv)ankMNt;. - eTaHCaminsMxan;k¾eday eKRtUvEtRtYtBinitücMelIyedayepÞógpÞat; ∑ F = 0 , ∑ F = 0 nig ∑ M = 0 . y x edayeRbIcMnuccab;fμIminEmncas;eT. P =5KN P =10KN ]TahrN¾³ 1 2 D kMNt;kMlaMgmanGMeBIenAkñúgkMNat; BD,CD nig CE B F 4 5 3 én Howe truss dUcbgðajkñúgrUb edayeRbIviFImux kat;. 3 A H truss RTedayTMr pin Rtg;tMNr A nig TMr roller C E G Rtg;tMNr H. P =15KN 3 4 bays @4m=16m dMeNaHRsay³ truss RtUvmanlMnwg tamrUbmnþ n = r + b − 2 f r = 3 ( H A , V A , VH ) b = 13 ( AB, AC , BC , BD, CD, CE , DE , DF , DG, EG, FG, FH , GH ) f = 8 ( A, B, C , D, E , F , G, H ) P1 =5KN P2 =10KN ⇒ n = 3 + 13 − (2 × 8) = 0 Cutting plane a dUcenH truss manlMnwgkMNt;tamsmIkar B D F 4 lMnwgsþaTic 5 3 3m 1> KNnaRbtikmμTMr HA A H C a E G ∑ FX = 0 ⇒ H A = 0 VA VH P3 =15KN ∑ FY = 0 ⇒ VA − P − P2 − P3 + VH = 0 4 bays @ 4m=16m 1 ⇒ V A + VH = P + P2 + P3 = 5 + 10 + 15 = 30 KN (1) 1 Trusses 33
  7. 7. T.Chhay ∑ M A = 0 ⇒ 4 × P + 8 × P2 + 12 × P3 − 16VH = 0 1 4 P + 8P2 + 12 P3 20 + 80 + 180 ⇒ VH = 1 = = 17.5KN 16 16 CMnYs V H = 17.5 KN kñúg (1) eyIg)an V A = 12.5 KN 2> kMNt;kMlaMgrbs;r)ar BD,CD nig CE tamviFImuxkat; enAeBlEdleKkat; truss Rtg;muxkat; a-a eKnwg)ankMlaMg P1 =5KN Cutting plane rbs;r)arbI (BD, CD nig CE) KW F , F nig F . a BD CD CE B FBD edayr)ar CDCar)areRTtdUcenH kMlaMg F bMEbk)ankM CD VCD FCD 3m 5 3 laMgpÁúMBIrKW V nig H . HCD 4 CD CD A H =0 A FCE C a Edl F5 = V3 = H4 ¬tamRtIekaNdUc¦. CD CD CD V =12.5KN A 4m ∑ M C = 0 ⇒ VA × 4 + FBD × 3 = 0 4 × 12.5 4V ⇒ FBD = − A = − 3 3 = −16.67 KN ¬rgkMlaMgsgát;¦ ∑ Fy = 0 ⇒ VA + VCD − P = 0 1 ⇒ VCD = P − VA = 5 − 12.5 = −7.5 KN 1 V 7.5 ⇒ H CD = 4 CD = −4 = −10 KN 3 3 V ⇒ FCD = 5 CD = −5 3 7.5 3 = −12.5 KN ¬rgkMlaMgsgát;¦ ∑ Fx = 0 ⇒ FBD + H CD + FCE = 0 ⇒ FCE = − FBD − H CD = −(− 16.67 ) − (− 10) = 26.67 KN ¬rgkMlaMgTaj¦ epÞógpÞat;m:Um:g;Rtg;cMnuc A ∑ M A = P × 4 + FBD × 3 − VCD × 4 = 0 1 ⇒ 5 × 4 − 16.67 × 3 − (− 7.5)× 4 = 0 epÞógpÞat;! dUcenH FBD = 16.67 KN (C) FCD = 12.5 KN (C) FCE = 26.67 KN (T) 3> viFIRkahVik Maxwell-Cremona sMrab;viFIRkahVik k¾dUcviFItMNrEdr KWeKRtUvsikSalMnwgtMNrnImYy². tMNrmYymanlMnwgluHRtaEt BhuekaNkMlaMg enARtg;tMNrenaHCaBhuekaNbiT. vIFIsaRsþkMNt;kMlaMgrbs;r)artamvIFIRkahVik Maxwell-Cremona³ Trusses 34
  8. 8. T.Chhay - KNnakMlaMgRbtikmμrbs; truss edayeRbI Free body diagram sMrab; truss TaMgmUl. - EbgEcktMbn;. tMbn;CaEpñkmYyénbøg;EdlxNнedaykMNat;r)ar truss nigExSskmμénkMlaMgRbtikmμ b¤ ExSskmμénbnÞúkxageRkA. - kMNt;maRtdæankMlaMg nigmaRtdæanbøg; truss - KUrBhuekaNkMlaMg biTRtg;tMNrNamanGBaØtiy:ageRcInBIrmuneK. rebobehAeQμaHkMlaMg edayeRbI eQμaHtMbn;EdlenAsgxagkMlaMgenaH. eKniymehAtamRTnicnaLika. ]TahrN¾³ Howe truss EdlRTedayTMrsamBaØ rgnUvbnÞúkdUc P =15KN 2 bgðajkñúgrUb. kMNt;RbtikmμTMr nigkMlaMgénr)ar nImYy² P =15KN C 1 P =15KN 3 edayeRbIvIFIRkahVik. truss RTedayTMr pin Rtg;cMnuc A 1.5 nigRTedayTMr roller Rtg;cMnuc E. B D 1.5 dMeNaHRsay³ A F E truss RtUvmanlMnwg tamrUbmnþ 5 5 n = r +b−2f P2 =15KN r = 3 ( H A , V A , VE ) P1 =15KN C P3 =15KN b = 9 ( AB, AF , BC , BF , CD, CF , DE , DF , EF ) 1.5 f = 6 ( A, B, C , D, E , F ) B D ⇒ n = 3 + 9 − (2 × 6) = 0 1.5 HA A E dUcenH truss manlMnwgkMNt;tamsmIkar F 5 5 VA VE lMnwgsþaTic 1> KNnaRbtikmμTMr ∑ FX = 0 ⇒ H A = 0 ∑ FY = 0 ⇒ V A − P1 − P2 − P3 + VE = 0 ⇒ V A + VH = P1 + P2 + P3 = 15 + 15 + 15 = 45KN (1) ∑ M A = 0 ⇒ −2.5 × P1 − 5 × P2 − 7.5 × P3 + 10VE = 0 2.5 P1 + 5 P2 + 7.5P3 37.5 + 75 + 112.5 ⇒ VE = = = 22.5 KN 10 10 CMnYs V E = 22.5 KN kñúg (1) eyIg)an P1 =15KN P2 =15KN P3 =15KN C 3 4 V A = 22.5 KN B D 7 8 5 2> kMNt;kMlaMgrbs;r)artamviFIRkahVik Maxwell-Cremona 2 6 9 A E F - EbgEcktMbn; tamRTnicnaLika VA=22.5KN 1 VE=22.5KN Trusses 35
  9. 9. T.Chhay - karehAeQμaHkMlaMg V = 1− 2 / F = 2 − 6 / F = 6 − 1 A AB AF - kMNt;maRtdæanbøg; 50mm=1m 2 - kMNt;maRtdæankMlaMg 2mm=1KN VA=22.5KN - KUrBhuekaNkMlaMgRtg;tMNr A eRBaHtMNrenHmanGBaØtiBIr 1 - KUrkMlaMgtamTisedA nigkarehAeQμaHtamRTnicnaLika FAB 6 - KUrkMlaMg F eGayRsbnwgr)ar AB. edaykMlaMgenHsßit AB 2 VA=22.5KN enAcenøaHtMbn; 2-6 dUcenHkMlaMg F RtUvKUredayP¢ab;BIcMnuc 2. AB 1 - KUrkMlaMg F eGayRsbnwgr)ar AF. edaykMlaMgenHsßit AF FAB 2 VA=22.5KN enAcenøaHtMbn; 6-1 dUcenHkMlaMg F RtUvKUredayP¢ab;BIcMnuc 6 AB 6 FAF 1 eTAcMnuc 1. - bnÞab;mkvas;RbEvgGgát;rYcKuNb¤EckCamYynwgmaRtdæan eyIgTTYl)ankMlaMgrbs;kMNat;r)ar. 2 6 B - karkMNt;sPaBrbs;kMlaMg KWeKRtUvkMNt;TisedArbs;kMlaMg A 1 F 2 KN TisedArbs;kMlaMgGaRs½ynwgkarehAeQμaHrbs;kMlaMgtamry³tMbn;. FA B=4 3.7 VA=22.5KN tMbn;EdlehAmunCaKl; ÉtMbn;EdlehAeRkayCacug. kMlaMg F = 2 − 6 AB 6 FAF=37.5KN 1 manTisedArt;cUltMNr A dUcenH kMlaMg F = 43.7 KN rgkMlaMgsgát; ÉkMlaMg F = 6 − 1 AB AF manTisedArt;ecjBItMNr A dUcenH kMlaMg F = 37.5KN rgkMlaMgTaj. cMNaMBhuekaNkMlaMgRtg; AF tMNr A CaBhuekaNbiT. - KUrBhuekaNkMlaMgRtg;tMNr B edayKñaBIBhuekaNkMlaMgRtg;tMNr A eK)anr)ar AB rgkMlaMg F = 43.7 KN rgkMlaMgsgát; r)ar BC rgkMlaMg F = 29.2 KN rgkMlaMgsgát; nigr)ar BF BA BC rgkMlaMg F = 14.6KN rgkMlaMgsgát;. BF C 2 P1 =15KN 3 .7K N 43 P1 =15KN = B FBA N 3 2 7 6 .2K =29 1 FBF FBC =1 6 4.6 KN 7 A F - KUrBhuekaNkMlaMgRtg;tMNr F eK)anr)ar CB rgkMlaMg F = 43.7 KN rgkMlaMgsgát;r)ar CD CB rgkMlaMg F = 29.2KN rgkMlaMgsgát; nigr)ar CF rgkMlaMg F = 15KN rgkMlaMgTaj. CD CF Trusses 36
  10. 10. T.Chhay 2 C 8 P2 =15KN 3 3 4 6 1 B 7 8 D FCF =15KN 4 P2 =15KN 7 F FCD=29.2KN - eFIVdUcKñasMrab;tMNr D,E nigtMNr F. eKTTYl)antaragdUc xageRkam³ l>r> eQμaHr)ar RbEvg kMlaMg sPaB 1. AB 2.92m 43.7KN rgkMlaMgsgát; (C) 2. AF 5m 37.5KN rgkMlaMgTaj(T) 3. BC 2.92m 29.2KN rgkMlaMgsgát; (C) 4. BF 2.92m 14.6KN rgkMlaMgsgát; (C) 5. CD 2.92m 29.2KN rgkMlaMgsgát; (C) 6. CF 3m 15KN rgkMlaMgTaj(T) 7. DE 2.92m 43.7KN rgkMlaMgsgát; (C) 8. DF 2.92m 14.6KN rgkMlaMgsgát; (C) 9. EF 5m 37.5KN rgkMlaMgTaj(T) 4> lkçxNÐBiess Special condition F1 1. Rtg;tMNrmYypÁúMeLIgedayr)arbI Edlr)arBIrrt;Rtg;Kña ehIyRtg;tMNrenaHKμankMlaMgxageRkA dUcenHeK)anr)arBIr rt;Rtg;KñamankMlaMgesμIKña F = F Ér)ar ÉekaesμIsUnü 2 3 1 F3 F = 0 ¬r)arenHeKdak;edIm,IkarBarPøat;¦. 1 1 3 A 2 F2 Trusses 37
  11. 11. T.Chhay 2. Rtg;tMNrmYypÁúMeLIgedayr)arBIr rt;minRtg;Kña F1 ehIymankMlaMgxageRkA P RtYtsIuKña nwgGkS½én P 1 r)arNamYy kMlaMgr)arenaHmantMélesμIkMlaMgxag eRkAenaH F = P ÉkMlaMgénr)armYyeTotesμIsUnü 2 F = 0. 1 2 F2 3. Rtg;tMNrmYypÁúMeLIgedayr)arBIr rt;minRtg;Kña F1 ehIyKμankMlaMgxageRkAman GMeBIelItMNrenaH 1 enaHkMlaMgénr)arnImYy²mantMélesμIsUnü F = F = 0. 1 2 2 F2 4. Rtg;tMNrmYypÁúMeLIgedayr)arbYn F1 F4 EdlBIr²rt;Rtg;Kña ehIyKμankMlaMgxag 1 eRkAman GMeBIelItMNrenaH enaHkMlaMg 4 énr)arBIr² rt;Rtg;KñamantMélesμIKña 3 2 F = F nig F = F . 1 2 3 4 F3 F2 Trusses 38
  12. 12. T.Chhay lMhat;³ 1> edayeRbInUvviFItMNrkMNt;kMlaMgrbs;kMNat;r)arén truss xageRkam³ 1>1> 100KN 100KN A B 10KN 8m C D 20KN 8m E F 6m 20KN 1>2> 20KN D 20KN 2m 10KN B F 10KN 2m A H C E G 4m 4m 4m 4m 20KN 1>3> 20KN D 20KN 1.5m 1.5m 10KN B F 10KN A C E G 4m 4m 4m 1>4> B D F 4m A C E G 3m 3m 3m 120KN A 1>5> 20KN 3m C 50KN 3m B E D 4m 4m Trusses 39
  13. 13. T.Chhay 2> edayeRbInUvviFImuxkat;kMNt;kMlaMgénr)armYycMnYndUcxageRkam³ 2>1> 15KN 20KN 20KN 10KN A B C D E F G 1.5m N M L K J I H 2m 2m 2m 2m 2m 2m FCD , FCK , FEI ? 2>2> 20KN C 15KN 2m B 2m A F E D 3m 3m 3m FBC , FBE , FEF ? 2>3> 20KN 8KN 12KN B D E G 2m C F H 4m A 3m 3m 3m FBD , FDE , FCF ? 3> edayeRbInUvviFIRkahVikkMNt;kMlaMgénr)arrbs; truss xageRkam³ 3>1> 20KN A C E G 40KN 2m B D F H 3m 3m 3m 15KN Trusses 40
  14. 14. T.Chhay 3>2> 12KN C 18KN 18KN 3.46m 5m B E D 5.54m 4m 24KN A F 6m 6m 3>3> 24KN G H I 10KN 3m E F J 3m 16KN C D 3m A B 4m 4m Trusses 41

×