metode elemen hingga
DESCRIPTION
FEMTRANSCRIPT
batang a batang b batang a
AE = 21 Gpa E = 21 Gpa E
L
menentukan matriks kekakuan lokal batang a batang b batang cKa = EA 1 -1 c2 1 0.36 0
L -1 1 -c2 -1 -0.36 0s2 0 0.64 1
Ka = 140000 1 -1 -s2 0 -0.64 -1-1 1 sc 0 0.48 0
-sc 0 -0.48 0Ka = 140000 -140000
-140000 140000
Kb = EA 1 -1L -1 1
Kb = 126000 1 -1-1 1
Kb = 126000 -126000-126000 126000
Kc = K 1 -1-1 1
Kc = 1000 1 -1-1 1
Kc = 1000 -1000-1000 1000
menentukan matriks kekakuan global
Ka = EA sc -sc
L sc -sc
-sc sc
-sc sc
Ka = 140000 1 0 -1 00 0 0 0
-1 0 1 00 0 0 0
Ka = 140000 0 -140000 0
A = 200 cm2 A = 300 cm2
c2 -c2
s2 -s2
-c2 c2
-s2 s2
3 m
4 m
a
cb
K = 1000 N/mm3
21
4
0 0 0 0-140000 0 140000 0
0 0 0 0
Kb = EA sc -sc
L sc -sc
-sc sc
-sc sc
Kb = 126000 0.36 0.48 -0.36 -0.480.48 0.64 -0.48 -0.64
-0.36 -0.48 0.36 0.48-0.48 -0.64 0.48 0.64
Kb = 45360 60480 -45360 -6048060480 80640 -60480 -80640
-45360 -60480 45360 60480-60480 -80640 60480 80640
Kc = K sc -sc
sc -sc
-sc sc
-sc sc
Kc = 1000 0 0 0 00 1 0 -10 0 0 00 -1 0 1
Kc = 0 0 0 00 1000 0 -10000 0 0 00 -1000 0 1000
menentukan matriks kekakuan struktur
f1 = f1=f2= ka21d1 + ka22d2 +kb11d2 + kb12d3 + kc11d2 + kc12d4 f2=f3= kb21d2 + kb22d3 f3=f4= kc21d2 +kc22d4 f4=
v1 140000 0 -140000 0 0 0 0h1 0 0 0 0 0 0 0
20000 -140000 0 185360 60480 -45360 -60480 00 0 0 60480 81640 -60480 -80640 0
c2 -c2
s2 -s2
-c2 c2
-s2 s2
c2 -c2
s2 -s2
-c2 c2
-s2 s2
ka11d1 + ka12d2
v3 0 0 -45360 -60480 45360 60480 0h3 0 0 -60480 -80640 60480 80640 0v4 0 0 0 0 0 0 0h4 0 0 0 -1000 0 0 0
boundering condition
v1 140000 0 -140000 0 0 0 0h1 0 0 0 0 0 0 0
20000 -140000 0 185360 60480 -45360 -60480 00 0 0 60480 81640 -60480 -80640 0
v3 0 0 -45360 -60480 45360 60480 0h3 0 0 -60480 -80640 60480 80640 0v4 0 0 0 0 0 0 0h4 0 0 0 -1000 0 0 0
20000 185360 60480 v2 7.1146218E-06 -5.270607E-060 60480 81640 u2 -5.270607E-06 1.6153433E-05
v2 0.142292u2 -0.105412
140000 0 -140000 0 0 0 00 0 0 0 0 0 0
-140000 0 185360 60480 -45360 -60480 00 0 60480 81640 -60480 -80640 00 0 -45360 -60480 45360 60480 00 0 -60480 -80640 60480 80640 00 0 0 0 0 0 00 0 0 -1000 0 0 0
batang b batang c
20000 A 30000 K 100021000 Mpa E 21000 Mpa
3000 mm L 5000 mm
mm2 mm2
ka11 ka12 0 0ka21 ka22+kb11+kc11 kb12 kc12
0 kb21 kb22 00 kc21 0 kc22
0 v10 u10 v2
1000 u2
0 v30 u30 v4
1000 u4
0 v10 u10 v2
1000 u20 v30 u30 v4
1000 u4
0 0 -19920.9409010 0 00 0.142292 20000
1000 -0.105412 00 0 -79.0590991170 0 -105.412132160 0 0
1000 0 105.41213216
N/mm