1.2 - doh ·...
TRANSCRIPT
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1U~1J()~1Jn~fl1U1~ 11 1 1 bull 1 ~ bull wilt c
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1 1 1 4n1UYH 1J11JUfl (BENDING MOMENT) ILnUH1~V1J (SHEAR) t1lflflllU1l~tf nJfl
I Jlflrl6UrIff1unrnu 9l6~1Jtl1 1JIflU~N1J
211 ml~tJIJ()Vi0J191V1tJnll1U11Jhmff~61J1(Jml 1 fl11J11JJ1fl 3 (jt) 21 (1) (5)
bull 1 1 ~ IOlWlflMtJYlfflJtYynll Htl11~UUJf1~1~V1 (Simple Span) t1lJfl1JJtl11f1~ (Span
Length) lhnu 30 11J9I r(J~ii11Jl1JuAfl91 (BENDING MOMENT) unI1HI~t)U
(SHEAR) tilnu 145 lli 1M HS20-44 ~htJ 1flHtJfHaf)lIwtJlr1l11~f(JUtl
111i9111Jl1amf)Wtl1~1f11flll1JIJ flJ tilU
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Length) tilnu 30 11J9Il ~v~ii1JJI1JuAAiI (BENDING MOMENT) unuH16vu
(SHEAR) tilnu 167 I~h (J~ HS20-44 fhu1flHrrfvunJwturl1JtYtJuua
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4 Innl Vll~Vl 6300 25200
lwin VHI~V1 6300 31500
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3 lnal Vl~fJ 8500 25500
41l1nl VH~ 8000 32000
bull51ntn Vl~U 7500 37500
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bull lllamnlIlt1~nUIOIJ 81l11~)~~UlflnllNltfJJnaH)~lIUl1N111lJa1~nnlJIItHJln
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4
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lliJnHHa1middotUnnltnu
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t~ bull 1 ~ l l-t ~ IlInIOUn11fl flnll1U9I 1nt) ~tfYlVUlII11UV91 l1fml1f11lrlVI1V191U1JlJYlHI1f11lllml Vml1r11-1
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bull t JIlt I1t)uI1lJOnlWfIloUn1YlOll1UP n lUI1lJ191 1 lInI1lJ191 2
(4) U1UlIll1UdhvnfllllihlnljctaiJulfl1t)fo~ lfl16nn IU tl~9I lin Ut1i1 II II I
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(5) tJUW1l1uu~n(lnlf)1LLnltlnlI1n1JlnVJ~IUltlnmiddotnnlJlnn1 1 flUIIU 1J
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12 ~ll60fOJA9IllJl1lJj flU It2551
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f()1J~1V011 thl1onl111Unn~lnn1 1I1011011fl tHnn AlJ ti~ 1n11ffl~tl1f(1f)7
nf()1J 11 U~ iv ilJ1 ()~11 fl~1f110 6fl1J101 Lln nllU lUfl~ tlJlf1~h fH)U11f11ff1fn 7 11
1U~1J()~1Jn~fl1U1~ 11 1 1 bull 1 ~ bull wilt c
1S vmlfilJ1tlU1HY1mWJ~() flHflll~tJrnU I1n1111 6 lfli~n1 HfJt1~ unttH)JmJHl11U1
(Turning Path) 1fl01f11fll1tl111 l9111 hj~1f)iltl1iDJ1ff1fn nfl1J11u~i6imtHv~11m ~ fhu1W uathu111()tOJ91~t1ntlU11flnifl1f17 l1J fl1U fl1JI()~1ff1f1~fi1U1tl1
11 ~ I ~ 11 1 -~ 16 llon1()Vflllna()mIlfl1Jt11flU111tH YlIU1J l tJlfJ~flml1llWlltHm1JY1H11n1~
_I -t 111 11 J17 m Wfll1ut)lJ9N1tJ911JJulUU11111t1 I1H)~UJ19Hl nHlIJV~ttJ1U~1JII6~111Jlllfn1~
j~ll1n 111611htl~111(Hilgutf~Aijml1J6lJ11111(Jlr~~u~hn711mmt11J 111tl~iTt1n 1JmihluJn1ri~811 Un1Ll9lmtil unijfl11JJ~11Ull~tH~1Jti1Jfl6~qj191~v6thnVn1H1H 11 tl1~lrrll YlN11 n1~l1HJ9iJ unY11~l1lnJnJJtlt111J 1MV1tJnll1 Ulfl1J UUt11~11 n1~ r
l1U1tN1JlJ6Jf11U1fnl iitll11n~ l1ltl11U1M1Ut1~tuJuI1Iu~aUfllIJ(J(JltgtJ191~~ m1JYl1middotnn1~
2 oUen111AUQZl1QnQIltIIUfl1S-nQl1W1Ueeltylm~~lUlft1n11J1 1 1 ~ 1-1 II dI 1 ~
21 t11U1f11nl l1J~lU fl1 ~nn~rn111 tll1JVI 111UtltlU6(J~ eJ19l91t1~11UHt1lOUIV f1Htl11~
1 1 1 4n1UYH 1J11JUfl (BENDING MOMENT) ILnUH1~V1J (SHEAR) t1lflflllU1l~tf nJfl
I Jlflrl6UrIff1unrnu 9l6~1Jtl1 1JIflU~N1J
211 ml~tJIJ()Vi0J191V1tJnll1U11Jhmff~61J1(Jml 1 fl11J11JJ1fl 3 (jt) 21 (1) (5)
bull 1 1 ~ IOlWlflMtJYlfflJtYynll Htl11~UUJf1~1~V1 (Simple Span) t1lJfl1JJtl11f1~ (Span
Length) lhnu 30 11J9I r(J~ii11Jl1JuAfl91 (BENDING MOMENT) unI1HI~t)U
(SHEAR) tilnu 145 lli 1M HS20-44 ~htJ 1flHtJfHaf)lIwtJlr1l11~f(JUtl
111i9111Jl1amf)Wtl1~1f11flll1JIJ flJ tilU
212 n1~U6f)~qj191Vl1J1111Jfll1JUZ01rr661U10m 9I11J111J191 3 ~(J 21 (2) W ~ 1 ~ l ~M
lfltl61JYlfflJtfZn11 flH1Y11~LlU111~~tl1 ( Simple Span ) Yl1Jfl111JV11f1~ (Span
Length) tilnu 30 11J9Il ~v~ii1JJI1JuAAiI (BENDING MOMENT) unuH16vu
(SHEAR) tilnu 167 I~h (J~ HS20-44 fhu1flHrrfvunJwturl1JtYtJuua
11t17 liR1UlfamfltuYll~1f11f)11 JJIU1J fll 0111 lUOl Oliii~fhu fflU lfwH fl111Jl~1lilnu 10 O1nl1JA9ioi111J~ rI~1JIi1t~rJJl1Ufl6~ffVIUwfl 13 nil
3
213 01gulJn64qjl91111Ulll~U11J1hfl1ff~OlllltJnl 91llJ~1JI~ 3 -trf) 21 (3) (4)
I I 1 1 I11 I
OUlIlfHI6UYlN1UrtlI1U flHnlHllllUIHl~Wl ( Simple Span ) Y1JflIl1Wnll~
(Span Length) lJampnU 30 Ill~1 ~f)~jjllJllJU~fi~ (BENDING MOMENT) lLmHI~tlU bull f 1 ~
(SHEAR) lllflU 167 1YI1 lJV~ HS20-44 f11t1 It)Hrtll~nnlQlf)U 1~91i1I1nVtllLtI
11f11H~llJ11nmnUlttiYn~iff1nl1lIrlUf)Qjltl
214 9Il1Jtlnll1UYI 211 212 213 ~lJf)tl~tylfl61lrngul~11JmrmntUlttil1H I1 JI I1ftlmlJYllltUY1l1U ~ll tflIlll lUlnUl11HW1U111UlrlUN1U rtlllli)HJ
Jll1tifl1JInl(1l~mh~jnvYlntJ 22 llU1t11ml1J~liJ lf1~tIHiUYlH tJ1UWl11U~~UIIU()I1ltl9llJ1hfl1~61Ul11f)1i 1911lJ
111J1r1 3 ~V 21 0) (2) (3) (4) (5) ~f)~ijJltimHlwnllhf1Ufll~~ 221 U6f)lIlf)~V6 tl4tyl961l Hii~U~9llJl1tinampnwm~ lff101 ll~-ntl~um 1Ul11 1m~nrwiuYm iu
ulu VI H~V1UWll1UIAUH1U rtllll1 (liuJl~tif)m HlflilmlHtI nf)~u)u
~RemiddotmqJltul1 OH nnnhneu
shy if ~ U111 nO~lytDl lJlOU
(illanlJ)
llnnrna~nQlncll~lnu
(ntan1) ~ ~
Inll 1I1IU ~ U IU 7000 7000
I
Inrl1tj VHljllll
~
~ ~- 6500 13000
3 Innl tll~l~tl1 6300 18900
4 Innl Vll~Vl 6300 25200
lwin VHI~V1 6300 31500
Iltlm~tl1 tmti 11000 11000
IlIft 1~ Vl~~ bullbullbullbull 10000 20000
3 lnal Vl~fJ 8500 25500
41l1nl VH~ 8000 32000
bull51ntn Vl~U 7500 37500
ltlJlt1lH9S bull ltHUalJtll~I)~OMilinu 069 MPa (100 psi) oJ 1L J I 01 ~ Of
bull lllamnlIlt1~nUIOIJ 81l11~)~~UlflnllNltfJJnaH)~lIUl1N111lJa1~nnlJIItHJln
lhlJ11IJLfuLlIalnQJJlftCnnU
La~l1i1unQlJlftCllnIJIJliml1il~La11unrjlJnll)~ f)glHh~ 120- 180 UJfI
4
I~ t bull O1WU1UrI1lfUlltJU~VVitylflUllU1untn1 n~1JIrlnl IfHl1lnllDt6~IVHlftJnq1J
bull d 1 1 1 ~ lllHnllPlnPlH 91nln~1l 221 lffllU 10l111fl111JLtlHJtI (Strain) llLnA~UPlt) fI H nl HIIUlll-3 ~Hlfll
tl11lJlflUfI (Strain) ~lntlfu9it)lm~rrwiUrmtJ~qfl flnjLnUfll11Hf1lUiII (Strain) IlHLYlnl~ tJ1~ti ~ijJllf1loMn~1IIYl1l1 lhnu 20000 nlnnilJ (LYlinn 10000 nlnnilJ) Wt)lJUUtnlUflllt11U1Whw
ift1nlv1llij~1011rrl~tyift1n
Il I~ mWU1UWllfUllUUlJtlf)ityU9111J1JmfftllU1Ufl1~ 9111Jl1lJl1l 3 ~v 21 (2) (3) (4) 11 ~ w ~
1hl11lnMlW 11 11nU911 lii 221 1~lJVtJItylg)f~lUl~Utli~ml1 1Um w~nLuUnh1lu l1ltll~tl~1JIh~
tJ11~11um1~t)t)itylfl~~1U1Uu~ntlfUlJ1Jl~lU 23 ~1U~ft1nl1lJ~ lU vunUlJUl1 H tllUYlllfU~~U~()UitVl~t)~1J f)112J n~H ml1JVl1 fl11lJ
1~ uaiftnlitl1 (Turning Path) hln1Ql~tl1UYl111U~~UIltJVIqj191ijllUlftl11lJn~1~ fI11lJ
U11 Utltl1111~~ 1I1fln11fi)fhl1UfIJv~m1JmIlUrim~1Jfl ~(]~yilm91nllfff)uff1ih~Li[n (Turning Path) 11nllJlHI~1UtJUl1HlHI1~~ unjYilfl)llJlnmnuillufhn~l1fl)~ lf1vij
1nmlV11 1Uj~1fl11nl~eijft1miJltN -
1 YI3 OlUffl11UllUIVeeiY1V1V1UhJ1n1f11 1111lft 3 lie 21(1) (5) YlfHJl11tlaUnlftVllllIIfI 2 Uti
l1uaetJA1YiSJlftllA~fle1tI~ 01 ~ ~I I bull 1 ~
31 U1UrIl11UllUUOVItyl~ UJ VlflnVUllHlUnW1U ~ tl~)JUH l1Lfl~J9Itl tl ~nl ~rrlum
11JllJu91flttmiddot (BENDING MOMENT) utl1~UQVU (SHEAR) ~lnA~u~~q91 jLnufitJ~ 211
~61JUUlillVm1thu)wlfWlft1ti~lV111fluli~ln11tlliTtylft)n1
32 rrlJflU~fHV1UrIl1J~vijfl111J1)fl~lfI hirovo-h 70 nlnl1Jm~vi111J~
~ ~ I I~
1ltJa18fJRln1l1Plllft~~e IUI
11 ~ 141 UflJllLnU11lfUUUl1HMt1~ Yll tllJm1 1J~ lVlI IVUtlm~l LIfU nYllUn V[JtlULRUtIllJ
1~hvVlln Lln~ul ~1~UfJtlnfliun11l~Um~ 1JPl1fl1~lgtJfl11)Jhlf)fltitl~f)~~m~Mtn~ unoul
42 U1UrIll1U ~~J IlVOl qfI~1itHlfiUll HfhUrrrI1J ~tN~ ~1J )U tI~ lU ml1JV11oW1~ 1 I x 1Grr1JPll~l (span Length) AVV1UYll1UllVUll~tylIlJVltlatJUllNlJtrYnJ ~O~l1I1Hl1
1 bull 1 ~ 1 ~~ bulllflfl~UPlV flHrrnUfrI1U 11~ lJllJUfIf (BENDING MOMENT) l1nU1~lfHgtU (SHEAR)
I 1 l l x _I ~ llLf)PIJJ~lfI lllflUVll 212 lIaO~llfl11nlnlUnu111JUtIWlU ~l VlIl1-l1UJ 041
UlU rI111 U~IJ t)tl~tyltIllJ11fllfl~OU~~llHYC1J flVtililIftIVflU Aitlfl11lJliTV111V
~rt)lJUUlillV011 thU]tlllflVlf11fllltJ11 flliliJ lfl11t11iTtylrnm
~ ~
5
(Ulvi
11tllllamprJAlbuPlJJRUltlHl
oI~ 4 tI 1 bull 1 11 ~01 51 VIl1UflllUlV6~tyUIl1JtlIf)aVlflfllH1I ~fH1JLlHYlan~IU1t) flHtYnUfYnu fl~
llJllJUfi (BENDING MOMENT) HaIIH16vu (SHEAR) ~Lnfl~Ill~tlfl liLnl~tl~ 213
V1JI111Jnvfl1fil111ll1~ulff1n 1t1111 YilJij~1f1it11lityi1f1
52 t11JtllV~tJI1l11l()~ijfl1lJl~1ll~ifl iliUoVn1170 nlnLlJ~1~t)i11lJ~ 53 V-3~1~-3U~()-3LihJV-3t1iiJ~t)6nl1tJ111Juhl1ium1~I 11 IYlHl1~1~ 54 tn11n~HI()-3tJl1ltll1UjtNililnU 3 11111
6 fJ 1u~HU ~tUtl81lty lfl ~ill(uQn1l 011 t111 PiH1 U fl nItf1fUll f)tf Q 01001 on nOfllY1 f11l
rnUlt1uIRU1JUnHl1l1l-3I~ nUt1Ql~IIUAU uanul1Dlu111UmUMIIUlJlWaollw
~1t1h~ e-3UlU1t1uhm)Jumf)8l1lfl~llJ
w-311nl~f1lli)
li~imn ~~i11lJt)1Jl1lJl(nri
Oi11~f)1JflHl1 1-3 III~tiU1VfllYlHl11~~lff)l
~tilln(mlfl~l111-31lF-ll~I ml~till1VmH1-3l1n1-3nlJtJml
2
13 dl1Jl~i1tlflt1aUtlUtJ1U111J hi~tJ1Jl11U (luolohJJu9iJflfla 111tllltlt1nlln1J~
fi()~lIJlJlJ()lDJlf1hm)lJmUf1~)
14 ltlrllvnLlnl t1LllJlJV 1Ull1U~ 1lVV~tyl9 lflv~MLltlfl~ii~ U1fltHv1Un111Uf~m111 n~H fl111JV11 fl11J~~ ifrih~1n[1 (Turning Path) lOHll1il~1lHl1l(J~~ll1iH
~tlnVH (Al1J(Jl1111111J11~) 1111I1Htiua1JVHYi~nu nf()1Jli~ihhl1uf)M1nill9i~l bull t
f()1J~1V011 thl1onl111Unn~lnn1 1I1011011fl tHnn AlJ ti~ 1n11ffl~tl1f(1f)7
nf()1J 11 U~ iv ilJ1 ()~11 fl~1f110 6fl1J101 Lln nllU lUfl~ tlJlf1~h fH)U11f11ff1fn 7 11
1U~1J()~1Jn~fl1U1~ 11 1 1 bull 1 ~ bull wilt c
1S vmlfilJ1tlU1HY1mWJ~() flHflll~tJrnU I1n1111 6 lfli~n1 HfJt1~ unttH)JmJHl11U1
(Turning Path) 1fl01f11fll1tl111 l9111 hj~1f)iltl1iDJ1ff1fn nfl1J11u~i6imtHv~11m ~ fhu1W uathu111()tOJ91~t1ntlU11flnifl1f17 l1J fl1U fl1JI()~1ff1f1~fi1U1tl1
11 ~ I ~ 11 1 -~ 16 llon1()Vflllna()mIlfl1Jt11flU111tH YlIU1J l tJlfJ~flml1llWlltHm1JY1H11n1~
_I -t 111 11 J17 m Wfll1ut)lJ9N1tJ911JJulUU11111t1 I1H)~UJ19Hl nHlIJV~ttJ1U~1JII6~111Jlllfn1~
j~ll1n 111611htl~111(Hilgutf~Aijml1J6lJ11111(Jlr~~u~hn711mmt11J 111tl~iTt1n 1JmihluJn1ri~811 Un1Ll9lmtil unijfl11JJ~11Ull~tH~1Jti1Jfl6~qj191~v6thnVn1H1H 11 tl1~lrrll YlN11 n1~l1HJ9iJ unY11~l1lnJnJJtlt111J 1MV1tJnll1 Ulfl1J UUt11~11 n1~ r
l1U1tN1JlJ6Jf11U1fnl iitll11n~ l1ltl11U1M1Ut1~tuJuI1Iu~aUfllIJ(J(JltgtJ191~~ m1JYl1middotnn1~
2 oUen111AUQZl1QnQIltIIUfl1S-nQl1W1Ueeltylm~~lUlft1n11J1 1 1 ~ 1-1 II dI 1 ~
21 t11U1f11nl l1J~lU fl1 ~nn~rn111 tll1JVI 111UtltlU6(J~ eJ19l91t1~11UHt1lOUIV f1Htl11~
1 1 1 4n1UYH 1J11JUfl (BENDING MOMENT) ILnUH1~V1J (SHEAR) t1lflflllU1l~tf nJfl
I Jlflrl6UrIff1unrnu 9l6~1Jtl1 1JIflU~N1J
211 ml~tJIJ()Vi0J191V1tJnll1U11Jhmff~61J1(Jml 1 fl11J11JJ1fl 3 (jt) 21 (1) (5)
bull 1 1 ~ IOlWlflMtJYlfflJtYynll Htl11~UUJf1~1~V1 (Simple Span) t1lJfl1JJtl11f1~ (Span
Length) lhnu 30 11J9I r(J~ii11Jl1JuAfl91 (BENDING MOMENT) unI1HI~t)U
(SHEAR) tilnu 145 lli 1M HS20-44 ~htJ 1flHtJfHaf)lIwtJlr1l11~f(JUtl
111i9111Jl1amf)Wtl1~1f11flll1JIJ flJ tilU
212 n1~U6f)~qj191Vl1J1111Jfll1JUZ01rr661U10m 9I11J111J191 3 ~(J 21 (2) W ~ 1 ~ l ~M
lfltl61JYlfflJtfZn11 flH1Y11~LlU111~~tl1 ( Simple Span ) Yl1Jfl111JV11f1~ (Span
Length) tilnu 30 11J9Il ~v~ii1JJI1JuAAiI (BENDING MOMENT) unuH16vu
(SHEAR) tilnu 167 I~h (J~ HS20-44 fhu1flHrrfvunJwturl1JtYtJuua
11t17 liR1UlfamfltuYll~1f11f)11 JJIU1J fll 0111 lUOl Oliii~fhu fflU lfwH fl111Jl~1lilnu 10 O1nl1JA9ioi111J~ rI~1JIi1t~rJJl1Ufl6~ffVIUwfl 13 nil
3
213 01gulJn64qjl91111Ulll~U11J1hfl1ff~OlllltJnl 91llJ~1JI~ 3 -trf) 21 (3) (4)
I I 1 1 I11 I
OUlIlfHI6UYlN1UrtlI1U flHnlHllllUIHl~Wl ( Simple Span ) Y1JflIl1Wnll~
(Span Length) lJampnU 30 Ill~1 ~f)~jjllJllJU~fi~ (BENDING MOMENT) lLmHI~tlU bull f 1 ~
(SHEAR) lllflU 167 1YI1 lJV~ HS20-44 f11t1 It)Hrtll~nnlQlf)U 1~91i1I1nVtllLtI
11f11H~llJ11nmnUlttiYn~iff1nl1lIrlUf)Qjltl
214 9Il1Jtlnll1UYI 211 212 213 ~lJf)tl~tylfl61lrngul~11JmrmntUlttil1H I1 JI I1ftlmlJYllltUY1l1U ~ll tflIlll lUlnUl11HW1U111UlrlUN1U rtlllli)HJ
Jll1tifl1JInl(1l~mh~jnvYlntJ 22 llU1t11ml1J~liJ lf1~tIHiUYlH tJ1UWl11U~~UIIU()I1ltl9llJ1hfl1~61Ul11f)1i 1911lJ
111J1r1 3 ~V 21 0) (2) (3) (4) (5) ~f)~ijJltimHlwnllhf1Ufll~~ 221 U6f)lIlf)~V6 tl4tyl961l Hii~U~9llJl1tinampnwm~ lff101 ll~-ntl~um 1Ul11 1m~nrwiuYm iu
ulu VI H~V1UWll1UIAUH1U rtllll1 (liuJl~tif)m HlflilmlHtI nf)~u)u
~RemiddotmqJltul1 OH nnnhneu
shy if ~ U111 nO~lytDl lJlOU
(illanlJ)
llnnrna~nQlncll~lnu
(ntan1) ~ ~
Inll 1I1IU ~ U IU 7000 7000
I
Inrl1tj VHljllll
~
~ ~- 6500 13000
3 Innl tll~l~tl1 6300 18900
4 Innl Vll~Vl 6300 25200
lwin VHI~V1 6300 31500
Iltlm~tl1 tmti 11000 11000
IlIft 1~ Vl~~ bullbullbullbull 10000 20000
3 lnal Vl~fJ 8500 25500
41l1nl VH~ 8000 32000
bull51ntn Vl~U 7500 37500
ltlJlt1lH9S bull ltHUalJtll~I)~OMilinu 069 MPa (100 psi) oJ 1L J I 01 ~ Of
bull lllamnlIlt1~nUIOIJ 81l11~)~~UlflnllNltfJJnaH)~lIUl1N111lJa1~nnlJIItHJln
lhlJ11IJLfuLlIalnQJJlftCnnU
La~l1i1unQlJlftCllnIJIJliml1il~La11unrjlJnll)~ f)glHh~ 120- 180 UJfI
4
I~ t bull O1WU1UrI1lfUlltJU~VVitylflUllU1untn1 n~1JIrlnl IfHl1lnllDt6~IVHlftJnq1J
bull d 1 1 1 ~ lllHnllPlnPlH 91nln~1l 221 lffllU 10l111fl111JLtlHJtI (Strain) llLnA~UPlt) fI H nl HIIUlll-3 ~Hlfll
tl11lJlflUfI (Strain) ~lntlfu9it)lm~rrwiUrmtJ~qfl flnjLnUfll11Hf1lUiII (Strain) IlHLYlnl~ tJ1~ti ~ijJllf1loMn~1IIYl1l1 lhnu 20000 nlnnilJ (LYlinn 10000 nlnnilJ) Wt)lJUUtnlUflllt11U1Whw
ift1nlv1llij~1011rrl~tyift1n
Il I~ mWU1UWllfUllUUlJtlf)ityU9111J1JmfftllU1Ufl1~ 9111Jl1lJl1l 3 ~v 21 (2) (3) (4) 11 ~ w ~
1hl11lnMlW 11 11nU911 lii 221 1~lJVtJItylg)f~lUl~Utli~ml1 1Um w~nLuUnh1lu l1ltll~tl~1JIh~
tJ11~11um1~t)t)itylfl~~1U1Uu~ntlfUlJ1Jl~lU 23 ~1U~ft1nl1lJ~ lU vunUlJUl1 H tllUYlllfU~~U~()UitVl~t)~1J f)112J n~H ml1JVl1 fl11lJ
1~ uaiftnlitl1 (Turning Path) hln1Ql~tl1UYl111U~~UIltJVIqj191ijllUlftl11lJn~1~ fI11lJ
U11 Utltl1111~~ 1I1fln11fi)fhl1UfIJv~m1JmIlUrim~1Jfl ~(]~yilm91nllfff)uff1ih~Li[n (Turning Path) 11nllJlHI~1UtJUl1HlHI1~~ unjYilfl)llJlnmnuillufhn~l1fl)~ lf1vij
1nmlV11 1Uj~1fl11nl~eijft1miJltN -
1 YI3 OlUffl11UllUIVeeiY1V1V1UhJ1n1f11 1111lft 3 lie 21(1) (5) YlfHJl11tlaUnlftVllllIIfI 2 Uti
l1uaetJA1YiSJlftllA~fle1tI~ 01 ~ ~I I bull 1 ~
31 U1UrIl11UllUUOVItyl~ UJ VlflnVUllHlUnW1U ~ tl~)JUH l1Lfl~J9Itl tl ~nl ~rrlum
11JllJu91flttmiddot (BENDING MOMENT) utl1~UQVU (SHEAR) ~lnA~u~~q91 jLnufitJ~ 211
~61JUUlillVm1thu)wlfWlft1ti~lV111fluli~ln11tlliTtylft)n1
32 rrlJflU~fHV1UrIl1J~vijfl111J1)fl~lfI hirovo-h 70 nlnl1Jm~vi111J~
~ ~ I I~
1ltJa18fJRln1l1Plllft~~e IUI
11 ~ 141 UflJllLnU11lfUUUl1HMt1~ Yll tllJm1 1J~ lVlI IVUtlm~l LIfU nYllUn V[JtlULRUtIllJ
1~hvVlln Lln~ul ~1~UfJtlnfliun11l~Um~ 1JPl1fl1~lgtJfl11)Jhlf)fltitl~f)~~m~Mtn~ unoul
42 U1UrIll1U ~~J IlVOl qfI~1itHlfiUll HfhUrrrI1J ~tN~ ~1J )U tI~ lU ml1JV11oW1~ 1 I x 1Grr1JPll~l (span Length) AVV1UYll1UllVUll~tylIlJVltlatJUllNlJtrYnJ ~O~l1I1Hl1
1 bull 1 ~ 1 ~~ bulllflfl~UPlV flHrrnUfrI1U 11~ lJllJUfIf (BENDING MOMENT) l1nU1~lfHgtU (SHEAR)
I 1 l l x _I ~ llLf)PIJJ~lfI lllflUVll 212 lIaO~llfl11nlnlUnu111JUtIWlU ~l VlIl1-l1UJ 041
UlU rI111 U~IJ t)tl~tyltIllJ11fllfl~OU~~llHYC1J flVtililIftIVflU Aitlfl11lJliTV111V
~rt)lJUUlillV011 thU]tlllflVlf11fllltJ11 flliliJ lfl11t11iTtylrnm
~ ~
5
(Ulvi
11tllllamprJAlbuPlJJRUltlHl
oI~ 4 tI 1 bull 1 11 ~01 51 VIl1UflllUlV6~tyUIl1JtlIf)aVlflfllH1I ~fH1JLlHYlan~IU1t) flHtYnUfYnu fl~
llJllJUfi (BENDING MOMENT) HaIIH16vu (SHEAR) ~Lnfl~Ill~tlfl liLnl~tl~ 213
V1JI111Jnvfl1fil111ll1~ulff1n 1t1111 YilJij~1f1it11lityi1f1
52 t11JtllV~tJI1l11l()~ijfl1lJl~1ll~ifl iliUoVn1170 nlnLlJ~1~t)i11lJ~ 53 V-3~1~-3U~()-3LihJV-3t1iiJ~t)6nl1tJ111Juhl1ium1~I 11 IYlHl1~1~ 54 tn11n~HI()-3tJl1ltll1UjtNililnU 3 11111
6 fJ 1u~HU ~tUtl81lty lfl ~ill(uQn1l 011 t111 PiH1 U fl nItf1fUll f)tf Q 01001 on nOfllY1 f11l
rnUlt1uIRU1JUnHl1l1l-3I~ nUt1Ql~IIUAU uanul1Dlu111UmUMIIUlJlWaollw
~1t1h~ e-3UlU1t1uhm)Jumf)8l1lfl~llJ
w-311nl~f1lli)
li~imn ~~i11lJt)1Jl1lJl(nri
Oi11~f)1JflHl1 1-3 III~tiU1VfllYlHl11~~lff)l
~tilln(mlfl~l111-31lF-ll~I ml~till1VmH1-3l1n1-3nlJtJml
3
213 01gulJn64qjl91111Ulll~U11J1hfl1ff~OlllltJnl 91llJ~1JI~ 3 -trf) 21 (3) (4)
I I 1 1 I11 I
OUlIlfHI6UYlN1UrtlI1U flHnlHllllUIHl~Wl ( Simple Span ) Y1JflIl1Wnll~
(Span Length) lJampnU 30 Ill~1 ~f)~jjllJllJU~fi~ (BENDING MOMENT) lLmHI~tlU bull f 1 ~
(SHEAR) lllflU 167 1YI1 lJV~ HS20-44 f11t1 It)Hrtll~nnlQlf)U 1~91i1I1nVtllLtI
11f11H~llJ11nmnUlttiYn~iff1nl1lIrlUf)Qjltl
214 9Il1Jtlnll1UYI 211 212 213 ~lJf)tl~tylfl61lrngul~11JmrmntUlttil1H I1 JI I1ftlmlJYllltUY1l1U ~ll tflIlll lUlnUl11HW1U111UlrlUN1U rtlllli)HJ
Jll1tifl1JInl(1l~mh~jnvYlntJ 22 llU1t11ml1J~liJ lf1~tIHiUYlH tJ1UWl11U~~UIIU()I1ltl9llJ1hfl1~61Ul11f)1i 1911lJ
111J1r1 3 ~V 21 0) (2) (3) (4) (5) ~f)~ijJltimHlwnllhf1Ufll~~ 221 U6f)lIlf)~V6 tl4tyl961l Hii~U~9llJl1tinampnwm~ lff101 ll~-ntl~um 1Ul11 1m~nrwiuYm iu
ulu VI H~V1UWll1UIAUH1U rtllll1 (liuJl~tif)m HlflilmlHtI nf)~u)u
~RemiddotmqJltul1 OH nnnhneu
shy if ~ U111 nO~lytDl lJlOU
(illanlJ)
llnnrna~nQlncll~lnu
(ntan1) ~ ~
Inll 1I1IU ~ U IU 7000 7000
I
Inrl1tj VHljllll
~
~ ~- 6500 13000
3 Innl tll~l~tl1 6300 18900
4 Innl Vll~Vl 6300 25200
lwin VHI~V1 6300 31500
Iltlm~tl1 tmti 11000 11000
IlIft 1~ Vl~~ bullbullbullbull 10000 20000
3 lnal Vl~fJ 8500 25500
41l1nl VH~ 8000 32000
bull51ntn Vl~U 7500 37500
ltlJlt1lH9S bull ltHUalJtll~I)~OMilinu 069 MPa (100 psi) oJ 1L J I 01 ~ Of
bull lllamnlIlt1~nUIOIJ 81l11~)~~UlflnllNltfJJnaH)~lIUl1N111lJa1~nnlJIItHJln
lhlJ11IJLfuLlIalnQJJlftCnnU
La~l1i1unQlJlftCllnIJIJliml1il~La11unrjlJnll)~ f)glHh~ 120- 180 UJfI
4
I~ t bull O1WU1UrI1lfUlltJU~VVitylflUllU1untn1 n~1JIrlnl IfHl1lnllDt6~IVHlftJnq1J
bull d 1 1 1 ~ lllHnllPlnPlH 91nln~1l 221 lffllU 10l111fl111JLtlHJtI (Strain) llLnA~UPlt) fI H nl HIIUlll-3 ~Hlfll
tl11lJlflUfI (Strain) ~lntlfu9it)lm~rrwiUrmtJ~qfl flnjLnUfll11Hf1lUiII (Strain) IlHLYlnl~ tJ1~ti ~ijJllf1loMn~1IIYl1l1 lhnu 20000 nlnnilJ (LYlinn 10000 nlnnilJ) Wt)lJUUtnlUflllt11U1Whw
ift1nlv1llij~1011rrl~tyift1n
Il I~ mWU1UWllfUllUUlJtlf)ityU9111J1JmfftllU1Ufl1~ 9111Jl1lJl1l 3 ~v 21 (2) (3) (4) 11 ~ w ~
1hl11lnMlW 11 11nU911 lii 221 1~lJVtJItylg)f~lUl~Utli~ml1 1Um w~nLuUnh1lu l1ltll~tl~1JIh~
tJ11~11um1~t)t)itylfl~~1U1Uu~ntlfUlJ1Jl~lU 23 ~1U~ft1nl1lJ~ lU vunUlJUl1 H tllUYlllfU~~U~()UitVl~t)~1J f)112J n~H ml1JVl1 fl11lJ
1~ uaiftnlitl1 (Turning Path) hln1Ql~tl1UYl111U~~UIltJVIqj191ijllUlftl11lJn~1~ fI11lJ
U11 Utltl1111~~ 1I1fln11fi)fhl1UfIJv~m1JmIlUrim~1Jfl ~(]~yilm91nllfff)uff1ih~Li[n (Turning Path) 11nllJlHI~1UtJUl1HlHI1~~ unjYilfl)llJlnmnuillufhn~l1fl)~ lf1vij
1nmlV11 1Uj~1fl11nl~eijft1miJltN -
1 YI3 OlUffl11UllUIVeeiY1V1V1UhJ1n1f11 1111lft 3 lie 21(1) (5) YlfHJl11tlaUnlftVllllIIfI 2 Uti
l1uaetJA1YiSJlftllA~fle1tI~ 01 ~ ~I I bull 1 ~
31 U1UrIl11UllUUOVItyl~ UJ VlflnVUllHlUnW1U ~ tl~)JUH l1Lfl~J9Itl tl ~nl ~rrlum
11JllJu91flttmiddot (BENDING MOMENT) utl1~UQVU (SHEAR) ~lnA~u~~q91 jLnufitJ~ 211
~61JUUlillVm1thu)wlfWlft1ti~lV111fluli~ln11tlliTtylft)n1
32 rrlJflU~fHV1UrIl1J~vijfl111J1)fl~lfI hirovo-h 70 nlnl1Jm~vi111J~
~ ~ I I~
1ltJa18fJRln1l1Plllft~~e IUI
11 ~ 141 UflJllLnU11lfUUUl1HMt1~ Yll tllJm1 1J~ lVlI IVUtlm~l LIfU nYllUn V[JtlULRUtIllJ
1~hvVlln Lln~ul ~1~UfJtlnfliun11l~Um~ 1JPl1fl1~lgtJfl11)Jhlf)fltitl~f)~~m~Mtn~ unoul
42 U1UrIll1U ~~J IlVOl qfI~1itHlfiUll HfhUrrrI1J ~tN~ ~1J )U tI~ lU ml1JV11oW1~ 1 I x 1Grr1JPll~l (span Length) AVV1UYll1UllVUll~tylIlJVltlatJUllNlJtrYnJ ~O~l1I1Hl1
1 bull 1 ~ 1 ~~ bulllflfl~UPlV flHrrnUfrI1U 11~ lJllJUfIf (BENDING MOMENT) l1nU1~lfHgtU (SHEAR)
I 1 l l x _I ~ llLf)PIJJ~lfI lllflUVll 212 lIaO~llfl11nlnlUnu111JUtIWlU ~l VlIl1-l1UJ 041
UlU rI111 U~IJ t)tl~tyltIllJ11fllfl~OU~~llHYC1J flVtililIftIVflU Aitlfl11lJliTV111V
~rt)lJUUlillV011 thU]tlllflVlf11fllltJ11 flliliJ lfl11t11iTtylrnm
~ ~
5
(Ulvi
11tllllamprJAlbuPlJJRUltlHl
oI~ 4 tI 1 bull 1 11 ~01 51 VIl1UflllUlV6~tyUIl1JtlIf)aVlflfllH1I ~fH1JLlHYlan~IU1t) flHtYnUfYnu fl~
llJllJUfi (BENDING MOMENT) HaIIH16vu (SHEAR) ~Lnfl~Ill~tlfl liLnl~tl~ 213
V1JI111Jnvfl1fil111ll1~ulff1n 1t1111 YilJij~1f1it11lityi1f1
52 t11JtllV~tJI1l11l()~ijfl1lJl~1ll~ifl iliUoVn1170 nlnLlJ~1~t)i11lJ~ 53 V-3~1~-3U~()-3LihJV-3t1iiJ~t)6nl1tJ111Juhl1ium1~I 11 IYlHl1~1~ 54 tn11n~HI()-3tJl1ltll1UjtNililnU 3 11111
6 fJ 1u~HU ~tUtl81lty lfl ~ill(uQn1l 011 t111 PiH1 U fl nItf1fUll f)tf Q 01001 on nOfllY1 f11l
rnUlt1uIRU1JUnHl1l1l-3I~ nUt1Ql~IIUAU uanul1Dlu111UmUMIIUlJlWaollw
~1t1h~ e-3UlU1t1uhm)Jumf)8l1lfl~llJ
w-311nl~f1lli)
li~imn ~~i11lJt)1Jl1lJl(nri
Oi11~f)1JflHl1 1-3 III~tiU1VfllYlHl11~~lff)l
~tilln(mlfl~l111-31lF-ll~I ml~till1VmH1-3l1n1-3nlJtJml
4
I~ t bull O1WU1UrI1lfUlltJU~VVitylflUllU1untn1 n~1JIrlnl IfHl1lnllDt6~IVHlftJnq1J
bull d 1 1 1 ~ lllHnllPlnPlH 91nln~1l 221 lffllU 10l111fl111JLtlHJtI (Strain) llLnA~UPlt) fI H nl HIIUlll-3 ~Hlfll
tl11lJlflUfI (Strain) ~lntlfu9it)lm~rrwiUrmtJ~qfl flnjLnUfll11Hf1lUiII (Strain) IlHLYlnl~ tJ1~ti ~ijJllf1loMn~1IIYl1l1 lhnu 20000 nlnnilJ (LYlinn 10000 nlnnilJ) Wt)lJUUtnlUflllt11U1Whw
ift1nlv1llij~1011rrl~tyift1n
Il I~ mWU1UWllfUllUUlJtlf)ityU9111J1JmfftllU1Ufl1~ 9111Jl1lJl1l 3 ~v 21 (2) (3) (4) 11 ~ w ~
1hl11lnMlW 11 11nU911 lii 221 1~lJVtJItylg)f~lUl~Utli~ml1 1Um w~nLuUnh1lu l1ltll~tl~1JIh~
tJ11~11um1~t)t)itylfl~~1U1Uu~ntlfUlJ1Jl~lU 23 ~1U~ft1nl1lJ~ lU vunUlJUl1 H tllUYlllfU~~U~()UitVl~t)~1J f)112J n~H ml1JVl1 fl11lJ
1~ uaiftnlitl1 (Turning Path) hln1Ql~tl1UYl111U~~UIltJVIqj191ijllUlftl11lJn~1~ fI11lJ
U11 Utltl1111~~ 1I1fln11fi)fhl1UfIJv~m1JmIlUrim~1Jfl ~(]~yilm91nllfff)uff1ih~Li[n (Turning Path) 11nllJlHI~1UtJUl1HlHI1~~ unjYilfl)llJlnmnuillufhn~l1fl)~ lf1vij
1nmlV11 1Uj~1fl11nl~eijft1miJltN -
1 YI3 OlUffl11UllUIVeeiY1V1V1UhJ1n1f11 1111lft 3 lie 21(1) (5) YlfHJl11tlaUnlftVllllIIfI 2 Uti
l1uaetJA1YiSJlftllA~fle1tI~ 01 ~ ~I I bull 1 ~
31 U1UrIl11UllUUOVItyl~ UJ VlflnVUllHlUnW1U ~ tl~)JUH l1Lfl~J9Itl tl ~nl ~rrlum
11JllJu91flttmiddot (BENDING MOMENT) utl1~UQVU (SHEAR) ~lnA~u~~q91 jLnufitJ~ 211
~61JUUlillVm1thu)wlfWlft1ti~lV111fluli~ln11tlliTtylft)n1
32 rrlJflU~fHV1UrIl1J~vijfl111J1)fl~lfI hirovo-h 70 nlnl1Jm~vi111J~
~ ~ I I~
1ltJa18fJRln1l1Plllft~~e IUI
11 ~ 141 UflJllLnU11lfUUUl1HMt1~ Yll tllJm1 1J~ lVlI IVUtlm~l LIfU nYllUn V[JtlULRUtIllJ
1~hvVlln Lln~ul ~1~UfJtlnfliun11l~Um~ 1JPl1fl1~lgtJfl11)Jhlf)fltitl~f)~~m~Mtn~ unoul
42 U1UrIll1U ~~J IlVOl qfI~1itHlfiUll HfhUrrrI1J ~tN~ ~1J )U tI~ lU ml1JV11oW1~ 1 I x 1Grr1JPll~l (span Length) AVV1UYll1UllVUll~tylIlJVltlatJUllNlJtrYnJ ~O~l1I1Hl1
1 bull 1 ~ 1 ~~ bulllflfl~UPlV flHrrnUfrI1U 11~ lJllJUfIf (BENDING MOMENT) l1nU1~lfHgtU (SHEAR)
I 1 l l x _I ~ llLf)PIJJ~lfI lllflUVll 212 lIaO~llfl11nlnlUnu111JUtIWlU ~l VlIl1-l1UJ 041
UlU rI111 U~IJ t)tl~tyltIllJ11fllfl~OU~~llHYC1J flVtililIftIVflU Aitlfl11lJliTV111V
~rt)lJUUlillV011 thU]tlllflVlf11fllltJ11 flliliJ lfl11t11iTtylrnm
~ ~
5
(Ulvi
11tllllamprJAlbuPlJJRUltlHl
oI~ 4 tI 1 bull 1 11 ~01 51 VIl1UflllUlV6~tyUIl1JtlIf)aVlflfllH1I ~fH1JLlHYlan~IU1t) flHtYnUfYnu fl~
llJllJUfi (BENDING MOMENT) HaIIH16vu (SHEAR) ~Lnfl~Ill~tlfl liLnl~tl~ 213
V1JI111Jnvfl1fil111ll1~ulff1n 1t1111 YilJij~1f1it11lityi1f1
52 t11JtllV~tJI1l11l()~ijfl1lJl~1ll~ifl iliUoVn1170 nlnLlJ~1~t)i11lJ~ 53 V-3~1~-3U~()-3LihJV-3t1iiJ~t)6nl1tJ111Juhl1ium1~I 11 IYlHl1~1~ 54 tn11n~HI()-3tJl1ltll1UjtNililnU 3 11111
6 fJ 1u~HU ~tUtl81lty lfl ~ill(uQn1l 011 t111 PiH1 U fl nItf1fUll f)tf Q 01001 on nOfllY1 f11l
rnUlt1uIRU1JUnHl1l1l-3I~ nUt1Ql~IIUAU uanul1Dlu111UmUMIIUlJlWaollw
~1t1h~ e-3UlU1t1uhm)Jumf)8l1lfl~llJ
w-311nl~f1lli)
li~imn ~~i11lJt)1Jl1lJl(nri
Oi11~f)1JflHl1 1-3 III~tiU1VfllYlHl11~~lff)l
~tilln(mlfl~l111-31lF-ll~I ml~till1VmH1-3l1n1-3nlJtJml
5
(Ulvi
11tllllamprJAlbuPlJJRUltlHl
oI~ 4 tI 1 bull 1 11 ~01 51 VIl1UflllUlV6~tyUIl1JtlIf)aVlflfllH1I ~fH1JLlHYlan~IU1t) flHtYnUfYnu fl~
llJllJUfi (BENDING MOMENT) HaIIH16vu (SHEAR) ~Lnfl~Ill~tlfl liLnl~tl~ 213
V1JI111Jnvfl1fil111ll1~ulff1n 1t1111 YilJij~1f1it11lityi1f1
52 t11JtllV~tJI1l11l()~ijfl1lJl~1ll~ifl iliUoVn1170 nlnLlJ~1~t)i11lJ~ 53 V-3~1~-3U~()-3LihJV-3t1iiJ~t)6nl1tJ111Juhl1ium1~I 11 IYlHl1~1~ 54 tn11n~HI()-3tJl1ltll1UjtNililnU 3 11111
6 fJ 1u~HU ~tUtl81lty lfl ~ill(uQn1l 011 t111 PiH1 U fl nItf1fUll f)tf Q 01001 on nOfllY1 f11l
rnUlt1uIRU1JUnHl1l1l-3I~ nUt1Ql~IIUAU uanul1Dlu111UmUMIIUlJlWaollw
~1t1h~ e-3UlU1t1uhm)Jumf)8l1lfl~llJ
w-311nl~f1lli)
li~imn ~~i11lJt)1Jl1lJl(nri
Oi11~f)1JflHl1 1-3 III~tiU1VfllYlHl11~~lff)l
~tilln(mlfl~l111-31lF-ll~I ml~till1VmH1-3l1n1-3nlJtJml