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4.2.3 Langkah ketiga : Menggabungkan Matriks Kekakuan Lokal
Penggabungan matriks kekakuan global
f = k11
k21 k31
d1 k12
k22 k32
d2 k13
k23 k33
d3 a
b 1
2 3
1 3
2
f1 =
ka11d1 ka12d2
ka13d3 f2
= ka21d1
ka22d2 ka23d3
kb22d2 kb13d3
kb12d4 km11d2
km13d4 km12d15
f3 =
ka31d1 ka32d2
ka33d3 kb31d2
kb32d4 kb33d3
kc11d3 kc12d4
kc13d5 f4
= kb21d2
kb22d4 kb23d3
km33d4 km31d2
km32d15 kn33d4
kn31d15 kn32d17
k011d4 ko12d17
k013d6 kd11d4
kd12d6 kd13d5
kc22d4 kc21d3
kc23d5 f5
= kc33d5
kc31d3 kc32d4
kd33d5 kd31d4
kd32d6 ke11d5
ke12d6 ke13d7
f6 =
kd22d6 kd21d4
kd23d5 ke22d6
ke21d5 ke23d7
kf11d6 kf12d8
kf13d7 kq11d6
kq12d19 kq13d8
kp33d6 kp31d17
kp32d19 ko33d6
ko31d4 ko32d17
f7 =
ke31d5 ke32d6
ke33d7 kf31d6
kf32d8 kf33d7
kg11d7 kg12d8
kg13d9 f8
= kf21d6
kf22d8 kf23d7
kq31d6 kq32d19
kq33d8 kr31d19
kr32d21 kr33d8
ks11d8 ks12d21
ks13d10 kh11d8
kh12d10 kh13d9
kg21d7 kg22d8
kg23d9 f9
= kg 31d7
kg32d8 kg33d9
kh31d8 kh32d10
kh33d9 ki 11d9
ki 12d10 ki 13d11
f10 =
kh21d8 kh22d10
kh23d9 ks31d8
ks32d21 ks33d10
kt31d21 kt32d23
kt33d10 ku11d10
ku12d23 ku13d12
kj11d10 kj12d12
kj13d11 ki21d9
ki22d10 ki23d11
f11 =
ki31d9 ki 32d10
ki 33d11 kj31d10
kj32d12 kj33d11
kk11d11 kk12d12
kk13d13 f12
= kj21d10
kj22d12 kj23d11
ku31d10 ku32d23
ku33d12 kv31d23
kv32d25 kv33d12
kw11d12 kw12d25
kw13d14 kl11d12
kl12d14 kl13d13
kk21d11 kk22d12
kk23d13 f13
= kk32d11
kk31d12 kk33d13
kl31d12 kl32d14
kl33d13 f14
= kl21d12
kl22d14 kl23d13
kw31d12 kw32d25
kw33d14 kx31d25
kx32d27 kx33d14
f15 =
km21d2 km2215
km23d4 ky11d15
ky12d16 kn11d15
kn12d17 kn13d4
f16 =
ky21d15 ky22d16
ky23d17 kz11d16
kz12d18 kz13d17
kak11d16 kak12d29
kak13d18 f17
= kn218d15
kn22d17 kn23d4
ky31d15 ky32d16
ky33d17 kz31d16
kz32d18 kz33d17
kaa11d17 kaa12d18
kaa13d19 kp11d17
kp12d19 kp13d6
ko21D4 KO22D17
KO23D6 f18
= kz21d16
kz22d18 kz23d17
kak31d16 kak32d29
kak33d18 kal31d29
kal32d31 kal33d18
kam11d18 kam12d31 kam13d20 kab11d18
kab12d20 kab13d19
kaa21d17 kaa22d18
kaa23d19 f19
= kp21d17
kp22d19 kp23d18
kaa31d17 kaa32d18
kaa33d19 kab31d18
kab32d20 kab33d19
kac11d19 kac12d20
kac13d21 kr11d19
kr12d21 kr13d8
kq21d6 kq22d19
kq23d8 f20
= kab21d18
kab22d20 kab23d19
kam31d18 kam32d31 kam33d21 kan31d31
kan32d33 kan33d20
kao11d20 kao12d33
kao13d22 kad11d20
kad12d22 kad13d21
kac21d19 kac22d20
kac23d21 f21
= kr21d19
kr22d21 kr23d8
kac31d19 kac32d20
kac33d21 kad31d20
kad32d22 kad33d21
kae11d21 kae12d22
kae13d23 kt11d21
kt12d23 kt13d10
ks21d8 ks22d21
ks23d10 f22
= kad21d20
kad22d22 kad23d21
kao31d20 kao32d33
kao22d22 kap31d33
kap32d35 kap33d22
kaq11d22 kaq12d35
kaq13d24 kaf11d22
kaf12d24 kaf13d23
kae21d21 kae22d22
kae23d23 f23
= kt21d21
kt22d23 kt23d10
kae31d21 kae32d22
kae33d23 kaf31d22
kaf32d24 kaf33d23
kag11d23 kag12d24
kag13d25 kv11d23
kv12d25 kv13d12
ku21d10 ku22d23
ku23d12 f24
= kaf21d22
kaf22d24 kaf23d23
kaq31d22 kaq32d35
kaq33d24 kar31d35
kar32d37 kar33d24
kas11d24 kas12d37
kas13d26 kah11d24
kah12d26 kah138d25 kag21d23
kag22d24 kag23d25
f25 =
kv21d23 kv22d25
kv23d12 kag31d23
kag32d24 kag33d25
kah31d24 kah32d26
kah33d25 kai11d25
kai12d26 kai13d27
kx11d25 kx12d27
kx13d14 kw21d12
kw22d25 kw23d14
f26 =
kah21d24 kah22d26
kah23d25 kas31d24
kas32d37 kas33d26
kat31d37 kat32d39
kat33d26 kau11d26
kau12d39 kau13d28
kaj11d26 kaj12d28
kaj13d27 kai21d25
kai22d26 kai23d27
f27 =
kx21d25 kx22d27
kx23d14 kai31d25
kai32d26 kai33d27
kaj31d26 kaj32d28
kaj33d27 f28
= kaj21d26
kaj22d28 kaj23d27
kau31d26 kau32d39
kau33d28 kav31d39
kav32d41 kav33d28
f29 =
kak21d16 kak22d29
kak23d18 kal11d29
kal12d31 kal13d18
kaw11d29 kaw12d30
kaw13d31 f30
= kaw21d29 kaw22d30
kaw23d31 kax11d30 kax12d32
kax13d31 kbi11d30
kbi12d43 kbi13d32
f31 =
kal21d29 kal22d31
kal23d18 kaw31d29 kaw32d30
kaw33d31 kax31d30
kax32d32 kax33d31
kay11d31 kay12d32
kay13d33 kan11d31
kan12d32 kan13d20
kam21d18 kam22d31 kam23d20
f32 =
kax21d30 kax22d32
kax23d31 kbi11d30
kbi12d43 kbi13d32
kbj31d43 kbj32d44
kbj33d32 kbk11d32
kbk12d44 kbk13d34
kaz11d32 kaz12d34
kaz13d33 kay21d31
kay22d32 kay23d33
f33 =
kan21d31 kan22d33
kan23d20 kay31d31
kay32d32 kay33d33
kaz31d32 kaz32d34
kaz33d33 kba11d33
kba12d34 kba13d35
kap11d33 kap12d35
kap13d22 kao21d20
kao22d33 kao23d22
f34 =
kaz21d32 kaz2234
kaz23d33 kbk31d32
kbk32d44 kbk33d34
kbm31d44 kbm32d45 kbm33d34 kbn11d34
kbn12d45 kbn13d36
kbb11d34 kbb12d36
kbb13d35 kba21d33
kba22d34 kba23d35
f35 =
kap21d33 kap22d35
kap23d22 kba31d33
kba32d34 kba33d35
kbb31d34 kbb32d36
kbb33d36 kbc11d35 kbc12d36
kbc13d37 kar11d35
kar12d37 kar13d24
kaq21s22 kaq22d35
kaq23d24 f36
= kbb21d34
kbb22d36 kbb23d35
kbn31d34 kbn32d45
kbn33d36 kbo31d45
kbo32d46 kbo33d36 kbp11d36
kbp12d46 kbp13d38
kbd11d36 kbd12d38
kbd13d37 kbc21d35
kbc22d36 kbc23d37
f37 =
kar21d35 kar22d37
kar23d24 kbc31d35
kbc32d36 kbc33d37
kbd31d36 kbd32d38
kbd33d37 kbe11d37 kbe12d38
kbe13d39 kat11d37
kat12d39 kat13d26
kas21d24 kas22d37
kas23d26 f38
= kbd21d36
kbd22d38 kbd23d37
kbp31d36 kbp32d45
kbp33d38 kbq31d46
kbq32d47 kbq33d38 kbr11d38
kbr12d47 kbr13d40
kbf11d38 kbf12d40
kbf13d39 kbe21d37 kbe22d38
kbe23d39 f39
= kat21d37
kat22d39 kat23d26
kbe31d37 kbe32d38
kbe33d39 kbf31d38
kbf32d40 kbf33d39
kbg11d39 kbg12d40
kbg13d41 kav11d39
kav12d41 kav13d28
kau21d26 kau22d39
kau23d28 f40
= kbf21d38
kbf22d40 kbf23d39
kbr31d38 kbr32d47
kbr33d40 kbs31d47
kbs32d48 kbs33d40
kbt11d40 kbt12d48
kbt13d42 kbh11d40
kbh12d42 kbh13d41
kbg21d39 kbg2240
kbg23d41 f41
= kav21d39
kav22d41 kav23d28
kbg31d39 kbg32d40
kbg33d41 kbh31d40
kbh32d42 kbh33d41
f42 =
kbh21d40 kbh22d42
kbh23d41 kbt31d40
bt32d48 kbt33d42
kbu31d48 kbu32d49
kbu33d42 f43
= kbi21d30
kbi22d43 kbi23d32
kbj11d43 kbj12d44
kbj13d32 f44
= kbj21d43
kbj22d44 kbj23d32
kbk21d32 kbk22d44
kbk23d34 kbm11d44 kbm12d45
kbm13d34 f45
= kbm21d44 kbm22d45
kbm23d34 kbn11d45 kbn12d34
kbn13d36 kbo11d45
kbo12d46 kbo13d36
f46 =
kbo21d45 kbo22d46
kbo23d36 kbp21d36
kbp22d46 kbp23d38
kbq11d46 kbq12d47
kbq13d38 f47
= kbq21d46
kbq22d47 kbq23d38
kbr21d38 kbr22d47
kbr23d40 kbs11d47
kbs12d48 kbs13d40
f48 =
kbs21d47 kbs22d48
kbs23d40 kbt21d40
kbt22d48 kbt23d42
kbu11d48 kbu12d49
kbu13d42 f49
= kbu21d48
kbu22d49 bu23d42
Universitas Sumatera Utara
68
4.2.4 Langkah Keempat : Mencari Perpindahan tiap-tiap titik
Kategori