"Subclassing and Composition – A Pythonic Tour of Trade-Offs", Hynek Schlawack
3.trusses14
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. 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
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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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