CMPLT
of 23
Transcript of CMPLT
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DISTRIBUSI MOMEN
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FAKTOR KEKAKUAN
TITIK B
KBA =4.EI
L
=4.EI
5=0.8EI
KBC =
4.2EI
L
=4.2
EI5 =8
EI5 =1.6EI
KB = 0.8EI + 1.6EI = 2.4EI
TITIK C
KCD =4.EI
L
=4.EI
5=0.8EI
KCB =4.2EI
L
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=4.2EI
5=
8EI
5=1.6EI
KC = 0.8EI + 1.6EI = 2.4EI
FAKTOR DISTRIBUSI
TITIK B
BA =KBA
KB
=0.8EI
2.4EI=0.33
BC =KBC
KB
=
1.6EI
2.4EI
=0.67
KONTROL B = 0.33 + 0.67 = 1
TITIK C
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CD =KCD
KC
=
0.8EI
2.4EI
=0.33
CB =KCB
KC
=1.6EI
2.4EI=0.67
KONTROL C = 0.33 + 0.67 = 1
MOMEN PRIMER
TITIK A
MAB =p AB
2
L2
=6.3.2
2
52 = -2,88 t.m
MAB =-2,88 t.m
TITIK B
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MBA =+p A
2B
L2
=
+6.32 .2
52 =
4,23 t.m
MBC =
q . L2
12
=3.5
2
12= -6,25 t.m
MBA + MBC = -2,02 t.m
TITIK C
MCB =
q . L2
12
=+3.52
12= 6,25 t.m
MCD =p A
2B
L2
=6.32 .2
52 = -4,32 t.m
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MCB + MCD= 1,93 t.m
TITIK D
MDC =+
pA B2
L2
=+6.3.2
2
52 = 2,88 t.m
MDC= 2,88 t.m
TABEL DISTRIBUSI MOMEN
TITIK A B C D
CABAN AB BA BC CB CD DC
!."I#TRIB$#I 0.0000 0.3333 0.6666 0.6666 0.3333 0.00000
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0 3 7 7 3
!.IN"$K#I
0.00000
0.50000
0.50000
0.50000
0.50000 0.00000
%.&RI%ER
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2.88000
4.32000
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6.25000
6.25000
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4.32000
2.88000
%.&ERLA'ANAN
0.00000
0.64333
1.28667
-1.2866
7
-0.6433
3 0.00000
%.IN"$K#I
0.32167
0.00000
-0.6433
3
0.64333
0.00000
-0.32167
%.&ERLA'ANAN
0.0000
0
0.21444
0.42889
-0.4288
9
-0.2144
4 0.00000
%.IN"$K#I
0.10722
0.00000
-0.2144
4
0.21444
0.00000
-0.10722
%.&ERLA'ANAN
0.00000
0.07148
0.14296
-0.1429
6
-0.0714
8 0.00000
%.IN"$K#I
0.03574
0.00000
-0.0714
8
0.07148
0.00000
-0.03574
%.&ERLA'ANAN
0.00000
0.02383
0.04765
-0.0476
5
-0.0238
3 0.00000
%.IN"$K#I
0.01191
0.00000
-0.0238
3
0.02383
0.00000
-0.01191
%.&ERLA'ANAN 0.00000
0.00794
0.01588
-0.0158
-0.0079
0.00000
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8 4
%.IN"$K#I
0.00397
0.00000
-0.0079
4
0.00794
0.00000
-0.00397
%.&ERLA'ANAN
0.00000
0.00265
0.00529
-0.0052
9
-0.0026
5 0.00000
%.IN"$K#I
0.00132
0.00000
-0.0026
5
0.00265
0.00000
-0.00132
%.&ERLA'ANAN
0.00000
0.00088
0.00176
-0.0017
6
-0.0008
8 0.00000
%.IN"$K#I0.0004
4
0.00000
-
0.00088
0.00088
0.00000
-0.00044
%.&ERLA'ANAN
0.00000
0.00029
0.00059
-0.0005
9
-0.0002
90.00000
%.IN"$K#I
0.00015
0.00000
-0.0002
9
0.00029
0.00000
-0.00015
%.&ERLA'ANAN
0.0000
0
0.0001
0
0.0002
0
-0.0002
0
-0.0001
0 0.00000
%.IN"$K#I
0.00005
0.00000
-0.0001
0
0.00010
0.00000
-0.00005
%.&ERLA'ANAN
0.00000
0.00003
0.00007
-0.0000
7
-0.0000
3 0.00000%.IN"$K#I 0.0000
20.0000 - 0.0000 0.0000 -0.00002
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0 0.0000
3 3 0
%.&ERLA'ANAN
0.0000
0
0.00001
0.00002
-0.0000
2
-0.0000
1 0.00000
%.IN"$K#I
0.00001
0.00000
-0.0000
1
0.00001
0.00000
-0.00001
%.&ERLA'ANAN
0.00000
0.00000
0.00001
-0.0000
1
0.00000
0.00000
%.IN"$K#I
0.00000
0.00000
0.00000
0.00000
0.00000 0.00000
%.&ERLA'ANAN
0.0000
0
0.0000
0
0.0000
0
0.0000
0
0.0000
0 0.00000
%.IN"$K#I
0.00000
0.00000
0.00000
0.00000
0.00000 0.00000
%.&ERLA'ANAN
0.00000
0.00000
0.00000
0.00000
0.00000 0.00000
%.IN"$K#I
0.00000
0.00000
0.00000
0.00000
0.00000 0.00000
%.&ERLA'ANAN
0.00000
0.00000
0.00000
0.00000
0.00000 0.00000
%.IN"$K#I
0.0000
0
0.0000
0
0.0000
0
0.0000
0
0.0000
0 0.00000
%.&ERLA'ANAN
0.00000
0.00000
0.00000
0.00000
0.00000 0.00000
%.IN"$K#I
0.00000
0.00000
0.00000
0.00000
0.00000 0.00000
%.&ERLA'ANAN
0.00000
0.00000
0.00000
0.00000
0.00000 0.00000
%.AK(IR -2.3981
5.2845 - 5.2845 - 2.39816
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6 65.2845
6 65.2845
6
d. Perhitungan Momen Desain
Karena kondisi beban dan rangka simetris, maka dianalisis Portal tanpa Pergoyangan.untuk itulah proses distribusi momen (cross) hanya satu kali yaitu akibat beban luar (tanpa pergoyangan).Harga momen desain sama dengan harga cross dari beban luar (lihat jumlah momen dari proses cross).MA ! "#$%.& kg.mMA ! '#&.' kg.mM ! "'#&.' kg.mM ! '#&.' kg.mMD ! "'#&.' kg.mMD ! #$%.& kg.m
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I.ree ody untuk Perhitungan *eaksi Perletakanatang A atang D
M ! + *H ! " *H! ".$kg g
*AH !-(++.#)/(#$%,0')"('#&,')12(') ! .#'kg g *DH ! " *AH! "30.0kg gH ! +
*AH / *H ! P*H ! P " *AH ! 30.0'kg gatang
M ! +
*4 !-($++.'.'2#)/('#&,')"('#&,')12!(') 0'+.++kg gH ! +
*4 / *4 ! 5
*4 ! 5 " *4 ! 0'+.++kg g
m. Perhitungan Momen, 6aya 7intang dan 6aya 8ormalPotongan A inter9al Potongan inter9alM: !*AH.; " MA + < ; < # M: ! *4.: " 2#.=#. ": M + < ; < 'D: ! *AH D: ! *4 " =.:8: ! " *A4 ! *4 8: ! " *HM:# !*AH.($/;) " P.; > MA + < ; < $
D:# ! *AH " P8:# ! " *A4
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DEFLEKSI LERENG
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FAKTOR KEKAKUAN
TITIK B
KBA =4.EI
L
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=4.EI
5=0.8EI
KBC =4.2EI
L
=4.2EI
5=
8EI
5=1.6EI
KB = 0.8EI + 1.6EI = 2.4EI
TITIK C
KCD =4.EI
L
=4.EI
5=0.8EI
KCB =4.2EI
L
=4.2EI
5=
8EI
5=1.6EI
K
C = 0.8EI + 1.6EI = 2.4EI
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MOMEN PRIMER
TITIK A
MAB =p AB
2
L2
=6.3.2
2
52 = -2,88 t.m
MAB =-2,88 t.m
TITIK B
MBA =+p A
2B
L2
=+6.32 .2
52 = 4,23 t.m
MBC =
q . L2
12
=3.5
2
12= -6,25 t.m
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MBA + MBC = -2,02 t.m
TITIK C
MCB =
q . L2
12
=+3.52
12= 6,25 t.m
MCD =p A
2B
L2
=6.32 .2
52 = -4,23 t.m
MCB + MCD= 1,93 t.m
TITIK D
MDC =
+pA B2
L2
=+6.3.2
2
52 = 2,88 t.m
MDC= 2,88 t.m
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RBA =
5
=
5 .5
5=5
5 = 1
RCD =
5
=
5.5
5=
5
5 = 1
)A,)" = 0
PERSAMAAN DEFLEKSI LERENG
MAB =MAB +
KAB * -2)A )B
= -2,88 + 0,8 * -2)A )B
= -2,88 1,6)A 0,8)B= -2,88 0,8)BMBA =
MBA +KBA * -2)B- )A
= 4,32 + 0,8 * -2)B- )A
= 4,32 1,6)B 0,8)A
= 4,32 1,6)B
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MBC =
MBC +
KBC * -2)B- )C
= -6,25 + 1,6 * -2)B- )C
= -6,25 3,2)B 1,6)C
MCB = MCB + KC B * -2)C )B
= 6,25 + 0,8 * -2)C )B
= 6,25 - 1,6)C0,8)BMCD =
MCD +KCD * -2)C- )"
= -4,32 + 0,8 * -2)C- )"
= -4,32 1,6)C 0,8)"
= -4,32 1,6)CMDC =MDC +
KDC * -2)" )C
= 2,88 + 0,8 * -2)" )C
= 2,88 1,6)" 0,8)C
= 2,8 0,8)C
SYARAT SAMBUNGAN DAN SATU SYARAT GESERAN
Tt B =MBA +
MBC = 0
Tt C =MCD +
MCB = 0
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// = -& +HA +
HD + = 0
HASIL DARI TITIK-TITIK PORTAL
MB = %BC+ %BA
= *-6,25 3,2)B 1,6)C + *4,32 1,6)B 0,8)A
= 4,32 6,25 4,8)B 1,6)C 0,8)A
1,93 = 4,8)B 1,6)C 0,8)A
MC = %CB+ %C"
= *6,25 1,6)C 0,8)B + *- 4,32 1,6)C 0,8)"
= 6,25 4,32 0,8)B 3,2)C 0,8)"
-1,93 = 0,8)B 3,2)C 0,8)"
SYARAT KESETIMBANGAN
HA =MAB+MBA
L =2,881,6A0,8B+4,321,6B0,8A
5
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=1,442,4A2,4B
5
HD
=
MDC+MCD
L =
2,881,6D0,8 C+ (4,32 )1,6C0,8D
5
=1,442,4
C2,4
D
5
HA =2,4
A+2,4
B
5 2
=
4,8A+4,8
B
5
= 0
HD =2,4 C+2,4 D
5 2
=4,8 C+4,8D
5
= 0
H=4,8A+4,8B+(4,8C)+4,8D
5
= 0
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E#ERAN = -& + (A + ("
= -6 +(3EI d+2EI R )
4 +(6EI e+4EI R )
4 +(3EI f+2EIR)
4
= *-8
4 +(3EI d+2EI R)
4 +(6EI e+4EI R )
4 +(3EI f+2EIR)
4 .4
= -8 + * - 3EI ) + 2EI R + * -6EI )/ + 4EI R + * - 3EI ) + 2EIR = 0
= - 3EI ) - 6EI )/ - 3EI ) + 8EIR = 8
6EI ) -2EI )/ + 1EI R = -6.33
2EI ) - 12EI )/ - 2EI ) - + 2EI R = 3.33
- 2EI )/ - 6EI ) + 1EI R = -8
- 3EI ) - 6EI )/ - 3EI ) + 8EIR = 8
ELIMINASI
#ETELA( "I ELI%INA#I %EN$NAKAN %ETO"E A$## "I"A&ATKAN (A#IL
)! = 0.37979
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)E = -0.227
)" = 1.67577
R = 1.60057
PERHITUNGAN MOMEN AKHIR
MAD = -1EI ) + 1EI R
= -1*1.67577 + 1 *1.60057
= -0.07519 EIMDA = -2EI ) + 1EI R
= -2*1.67577 + 1*1.60057
= -0.15038 EIM
BE = -2EI )/ + 2EI R
= -2*-0.227 + 2*1.60057
= 3.655172 EI
MEB = -4EI )/ + 2EI R
= -4*-0.227 + 2*1.60057
= 4.109195 EIMFC = 1 - 2EI ) + 1EI R
= 1 2*0.37979 + 1*1.60057= 1.840996 EI
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MCF = -1 - 1EI ) + 1EI R
= -1 1*0.37979 + 1*1.60057= 0.220785 EI
MDE = 8 - 4EI ) - 2EI )/
= 8 4*1.67577 2*-0.227
= 1.750958 EIMED = -8 - 4EI )/ - 2EI )
= -8 4*-0.227 2*1.67577
= -10.4435 EIMEF = 5.33 - 4EI )/ - 2EI )
= 5.33 4*-0.227 2*0.37979= 5.478467 EI
MFE = -5.33 - 4EI ) - 2EI )/
= -5.33 4*0.37979 2*-0.227
= -6.39513 EI
