bending design.pdf
TRANSCRIPT
-
8/13/2019 Bending Design.pdf
1/30
1
CMBUk - III karKNnabegkarkMNt;EdksMrab;Fw
GnuelamtambTdan ACI 318-M08
-
8/13/2019 Bending Design.pdf
2/30
2
1-muxkat;ctuekaNbMBak;Edkma eyIgdwgehIyfa
2' 1 0.59n c M f bd
2n n M bd k
eyIgeXIjfa sMrab;m:Um:g;mYy nig ebtugsal; Edksal; eyIgenAmGBaatibIKW kMras;Fwm kMBs;RbsiTPaB nigPaKryEdb d
' 1 0.59n ck f
' y
c
f
f ; s
Abd
-
8/13/2019 Bending Design.pdf
3/30
3
1>1 krNITI1 krNIkMnt;muxkat;TUeTA
eyIgGacsntyk BItaragxageRkam. rYc RtUv)anKNna.bnab;mkeyIg KNna edaysntyk
rW .
s u R
d b, 3/1 bd
0.01 CMerIssnSMsMc
CMerIslsMrab;PaBsVit 0.015 srsEdkENnBi)aktMerob
6.03.0/ d b
max75.05.0
-
8/13/2019 Bending Design.pdf
4/30
4
]TahrN_krNITI1
cUrKNnavimaRtF wm nigbrimaNEdkrbs;Fwmbgajk grUbTI 3hb,
edaydwgfa
6m
LL=10kN/m
DL=21kN/m
b ?
h ?
f c=25MPa
f y=400MPa
rUbTI 3>1 FwmTMrsamBa
-
8/13/2019 Bending Design.pdf
5/30
5
CMhannkarKNna
1-KNnam:Um:g;dac;xat M
u= M
n
2-kMnt;PaKryEdkedayEpkelIlkxNPaBsVitrbs;Fwm
3-KNnakkam:Um:g;4-KNna bd 2
5-KNna b rW d edasntyk6-KNnaA s rYcep gpat;
7-KNna
31 bd
l
h
2
; u
n
M
bd k
' 1 0.59
n ck f
10.375TCL
t t
aad d
-
8/13/2019 Bending Design.pdf
6/30
6
1>2 krNITI2 krNIminsal;brimaNEdk ebIeyIgsal; brimaNEdkcaM)ac;GacKNnatamd b,
2'7.14
11'85.0
bd f M
f f
c
u
y
c
eBlEdl RtUvsal; eyIgKYEtepgpat;ebIEdksgt;caM)ac; rWminc)ac;
muneFVIkarKNnamuxkat;Edk.
d b,
1- kMNt;rkPaKryEdk
n u M M 4-ep gpat;fa
2
40.85 1 1
1.7 'u
c
M f bd
s A bd 2-brimaNEdkcaM)ac;sMxkat;
3-rkemKuNkat;bnyP GaRsynwg
ccd t
ut
65.0,9.0,325045.1
minmax t
-
8/13/2019 Bending Design.pdf
7/30
7
1>3 krNITI3 krNIsal;vimaRtFwmEtmYy ebIeyIgsal; eyIgRtUvKNnab,
u
n
M d
k b
bd A s
' 1 0.59n ck f
ehIy
mmd h 65
sMKal; kMBs;h GacykCadMbUges Inwg
mmd h 90 sMrab;EdkbeNaymYyCYr sMrab;EdkbeNayBIrCYr 25)1(65 r nd h sMrab;EdkbeNayBIr rWeRcInCYn r
CacMnYnCYrQrnEdkbeNay
-
8/13/2019 Bending Design.pdf
8/30
8
2- KMlatnbNajEdknigkMras;RsT2>1 tMrUvkartambTd anedIm,IeGaykareFVIkarrbs;EdkCamYyebtug)anl eyIgRtUverobcMedkdU
KMlatEdkedk kMras;RsTab;karBarGb,brimasMrab;FwmKW38mm nigsMrab;kMralKW20mm
)25;max( mm D s bar nigKMlatbBarEdk mm s 25
h1
d1
b 1
D s D s D
cc
D s
h1
d1
b 1
D s D
c
c
D s
DsD
rUbTI 3>2-1 KMlatEdkGb,brima
-
8/13/2019 Bending Design.pdf
9/30
9rUbTI 3>2-2 KMlatEdkGb,brima
-
8/13/2019 Bending Design.pdf
10/30
10rUbTI 3>3 KMlatEdkGb,brima RsbtambTdanACI
-
8/13/2019 Bending Design.pdf
11/30
11rUbTI 3>4 KMlatEdkGb,brimaTaMgCYrEdk nigCYrQ
-
8/13/2019 Bending Design.pdf
12/30
12
rUbTI 3>5 kartMerobEdk Edlman2CYredk
-
8/13/2019 Bending Design.pdf
13/30
13
2>2 TTwgGb,brmarbs;muxkat;
CaTUeTATTwgGb,brmarbs;F wm GacKNna)antamrUbmcteTA
KMlatEdk
TTwgGb,rma
ebIeyIgyk
c D snnDb s 22)1(min
Ggt;pitEdkbeNay Ggt;pitEdkTTwgEdkkg
b min
D
D s
s
mm snnDb 96)1(min
D s=10 mm, c = 38 mm
eyIg)an
n cMnYnCYrQnEdkc kMras;RsTab;kar
)()(2min
s Dc D sb
n s
-
8/13/2019 Bending Design.pdf
14/30
14
2>3 kBs;Gb,brmarbs;muxkat;kMBs; rWCMerARbsiTPaB KWCacMgayBI
EKmsgt;eTATIRbCuMTMgn;rbs;EdkTaj.kMBs;srubGtibrima GacKNnatam
rUbmndUcxageRkam
kMBs;RbsiT iPaBrbs;muxkat;F wm
c D D
d h s 211
Ggt;pitr)abeNay Ggt;pitr)aTTwg
d1
D
D s
c b kMras;RsTab;karBa
h1d1
b 1
c b
c b
D s
DsD
D s D
c cMgayBITIRbCu MTMgn;EdkeTA)atFwm nig
rUbTI 3>6 kMBs;FwmGb,b
-
8/13/2019 Bending Design.pdf
15/30
15
kMBs;srubGtibrimarbs;muxkat; eBleRbIEdkeRcInRsTab;GacKNnatamrUbmndUcxageRkam
nhr cMnYnCYredk nvr cMnYnCYrQ n blr cMnYnEdkkgCYredkcugeRkay
t
blr hr
vr
hr sb
n
nn
nn D s
D Dcc 2
)2(
)1)((2
2
)1)((
2
hr sb
n D s D Dcc
sMrab;bNajEdk EdlCYrcugeRkaymancMnYnEdkticCagkgCYrepSgeTo
sMrab;bNajEdk EdlCYrnImYymancMnYnEdkesIKa
-
8/13/2019 Bending Design.pdf
16/30
16
TTwgGb,brmarbs;F wm
KMlatCYrEdkQ
c D sn Dnb svr vr vr
22)1(min
)1(
)(2
vr
svr wvr
n
c D Dnb s
-
8/13/2019 Bending Design.pdf
17/30
17
3- lMhat;]TahrN_
1-kMnt;muxkat;ctuekaNEdlrgm:Um:g;dac;xat edayeRbIPaKryEdkGtib,rma nigdwgfa
mmb s 356%;1
kNm560 MPa f MPa f yc 400;21'
2-kMnt;muxkat;ctuekaNEdlrgm:Um:g;dac;xat edayeRbIPaKryEdknigdwgfa
kNm560
MPa f MPa f yc 400;21'
mmd mmb 710,250 3- KNnamuxkat;EdkcaM)ac;sMrab; ;muxkat;ctuekaNEdlrgm:Um:g;dac;xatedayeRbIPaKryEdknigdwgfa
kNm333
MPa f MPa f yc 400;27'
-
8/13/2019 Bending Design.pdf
18/30
18
4- muxkat;bMBak;EdkDubEdkTat;
sMrab;muxkat;bMBak;Edkmag m:Um:g;lTPaBRTRTg;GtibrmaekItmanenAeBlEdlPaKryEdkGtibrma tUv)aneRbIR)as;. ebIm:Um:g;begageRkACag
m: Um:g;lTPaBRTRTg;kg enaHmuxkat;bMBak;Edksgt; rWehAmbMBak;ERtUveRbIR)as;. lMdab;nkarKNnamuxkat;bMBak;Edksgt;nwgbgaj dUcxageReBlEdleyIgsal;tMln .
1- KNnaPaKryEdkGtib,rma
';;;;'; d d b f f M ycu
CamYy
)003.0
003.0('85.0 1maxt y
c
f f
004.0t
-
8/13/2019 Bending Design.pdf
19/30
19
eFV Ikarep gpat;rvagm:Um:g;eRkAnwgm: Um:g;lTPaBRTRTg;kgGtmax
2
2 uu Rbd M
2- KNnam:Um:g;Gtib,rma
c
y yu f
f f R
'7.11 maxmaxmax
2? uu M M
ebI 2uu M M Edksgt;minRtUvkar mannymuxkat;Camuxkat;bMBak;Edkag
2
'7.1
411
'85.0
bd f
M
f
f
c
u
y
c
bd A s
eyIgGacKNnarkPaKry rYcrkbrim
-
8/13/2019 Bending Design.pdf
20/30
20
Edl
21 uun M M M 3- KNnam:Um:g;bEnm
bd A s max2
ebI 2uu M M Edksgt;RtUvkar eyIgRtUveFVIkarKNnarkbrimaNEdkdU
4- KNnaEdkTajbEnm )'(1
1 d d f M
A y
u s 21 s s s
A A A
5- KNnakMlaMgsMBaFpk gEdksgt;
b f
f Aa
c
y s
'85.02
1 ac
y
s s f d c
c
E f ),'(
003.0min'
6- KNnamuxkat;Edksgt;)'('
'd d f
M A
s
u s
-
8/13/2019 Bending Design.pdf
21/30
21
4>1 ]TahrN_
1- FwmmYymanTTwg nigkMBs; ehIyRtUvTb;m: Um:gKNnabrimaNEdk edaydwgfa
cm25
MPa f MPa f yc 400;25'
2- kMnt;muxkat;EdkcaM)ac;rbs;muxkat;Edlrgm:Um:g;dac;xatedaydwgfa
kNm448
MPa f MPa f yc 400;27'
mmhmmb 510,300
cmh 55
kNm357
-
8/13/2019 Bending Design.pdf
22/30
22
5- muxkat;ragGkSret
sMrab;RbBn kMral;-Fwm vimaRtrbs;kMral nigKMlat rWTItaMgFwmRtUerobcMCadMbUg. bnab;mk eyIgRtUvKNnamuxkat;Fwm rYmmankarKvimaRttYF wm nigkarKNnabNajEdk. kgkarKNnamuxkat;RcMeBaHm: Um:g;dac;xat / kMras;kMral; nigTTwgsamFwm GacKNTTwgtYFwmGacsntykBI . dUecH eyIgGacKNnaF wmGkS
edaydwgfa . ycu f f M ;';
u M
cm5020
-
8/13/2019 Bending Design.pdf
23/30
23
5>1 eBlkMras; d s al;
k- ep gpat;famuxkat;eFVIkardUcctuekaN rWCamuxkat;GkSret edaysnt;rYcKNnam:Um:g;lTPaBRTRTg;rbs;sabTaMgmUl.
ebI enaH eyIgniyayfamuxkat;GkSet.ebI enaH dUecH muxkat;eFVIkardUcmuxkat;ctuekax- ebI
f ha
2
)'85.0()( f f cnf h
d hb f flange M
nf u M M f ha
nf u M M f ha
f ha karKNnaeFV IdUcxageRkam
2
'7.1
411
'85.0
bd f
M
f
f
c
u
y
c
bdA
-
8/13/2019 Bending Design.pdf
24/30
24
K-ebI
m:Um:g;Tb;edaytYFwmKW
y
f wc sf f
hbb f A )('85.0
21 nun M M M
f ha karKNnaeFV IdUcxageRkam
21
'7.14
11'85.0
d b f M
f f
wc
n
y
cw
d b A ww sw
22 f
y sf n
hd f A M
KNnabrimaNEdksrub sw sf s A A A
bd A s
epgpat;faweb f w max,75.0
min d b A
w
sw
-
8/13/2019 Bending Design.pdf
25/30
25
5>2 eBlmins al;kMBs; nigbrimaNEdkd, A sk- snt;yk
K- eyIgGacerIsyktMld Edl)anKNna rWyktMld NamYyepSgeTehIyeyIgEtRtUveFV IkarKNnamuxkat;EdkeLIgvij.
f ha
y
f chf sf f
bh f A
'85.0,
2, f
yhf sf uhd f A M
d x- KNna BIsmIkarxageRkam
kgRKb;krNI brimaNEdkcaM)ac;minRtUvticCagbrimaNEdkGb
EdkGb,brma KNnatamrUbmn
y
c
y f
f
f 4
';
4.1maxmin
-
8/13/2019 Bending Design.pdf
26/30
26
5>4 lMhat;]TahrN_1- manF wmGkSretmYydUcbgajkgrUbTI 3>7. cUrKNnamuxkat;Egfam:Um:g;dac;xatKW .EdleRbIsMParH
kNm M u 430
MPa f MPa f yc 400,25'
100cm
37cm46cm
25cm
10cm
rUbTI 3>7 muxkat;FwmGkSre
-
8/13/2019 Bending Design.pdf
27/30
27
2- RbBnkMral-F wmmYydUcbgajk grUbTI 3>8. cUrKNnamuxkEdk
sMrab;F wm edaydwgfam:Um:g;eRkAdac;xat .eRbIsMParH
kNm M u 700
MPa f MPa f yc 400,21'
30cm
137cm
275cm 275cm
10cm
h=60cm
d= 44.5cm
-
8/13/2019 Bending Design.pdf
28/30
28
3- KNnamuxkat;FwmetmYyedIm,ITb;nwgm: Um:g;dac;xat kNm M u 1100 MPa f MPa f yc 410,21'
4-sMrab;Fwmcak;eRscmuxkat;GuImYydUcbgajk grUb.cUrKNnamuxkat;Edkedaydwgfa
122 cm
d ?
30 cm
10 cm
kNm M u 489
MPa f MPa f yc 410,27'
edaydwgfa
10 cm
36 cm
25 cm 6 cm
A s ?
13 cm
15 cm
41 cm
A s ?
-
8/13/2019 Bending Design.pdf
29/30
29
5-F wmmYymanTMrbn M dUck grUbRTbnkefr bEnmelIbnkGefrGCIvkm/ ehIyF wmrgkMlaMgefrcMnuc nigGefr Rtg;cMnucC BIA RbEvg .
MPa f MPa f yc 410,27'
5-k- KNnam:Um:g;dac;xatGtib,rmanigTItaMgrbs;va5-x- KNnamuxkat;ctuekaNedIm,IRTbn kedayeRbI EdkPaKrynigTTwgFwm cmb 50
edaydwgfa
mkN /35 mkN /22
kN 53 kN 36 m3
%2 s
d ?
9 cm50 cm
A s ?
PL=36 kN
PD=53 kN
300 cm 600 cm
w L=22 kN/m
w D=35 kN/m
A C B
-
8/13/2019 Bending Design.pdf
30/30
30
6- KNnabrimaNEdksMrab;FwmmYyEdlRTm: Um:g;dac;xat
mmhmmb 600,300
edaydwgfa
mkN M u /696
MPa f MPa f yc 400,30'
600 mm
300 mm
A s ?