12
E = 21000 A = 600 I = 10000 Matrik kekakuan lokal batang1 L = 500 cm = 125000000 sin 270 = -1 cos270 = 0 (K1) = 25200 0 0 -25200 0 20.16 5040 0 0 5040 1680000 0 -25200 0 0 25200 0 -20.16 -5040 0 0 5040 840000 0 0 -1 0 0 0 1 0 0 0 0 = 0 0 1 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 -20.16 -5040 0 20.16 (Kg) = 25200 0 0 -25200 0 0 5040 1680000 0 -5040 Kn/cm² cm² cm⁴ L³ [T (1) ] [T (1) ] T =
contoh matriks 3
Embed Size (px)
DESCRIPTION
Anstruk, matriks, soal, mektek
Citation preview
3d chaE =21000Kn/cmA =600cmI =10000cmMatrik kekakuan
lokalbatang1L =500cmL=125000000L=250000sin
270=-1cos270=0(K1)=2520000-2520000AE/L100-AE/L100020.1650400-20.165040012EI/L36EI/L20-12EI/L36EI/L20504016800000-504084000006EI/L24EI/L0-6EI/L22EI/L-25200002520000-AE/L100AE/L1000-20.16-5040020.16-50400-12EI/L3-6EI/L2012EI/L3-6EI/L2050408400000-5040168000006EI/L22EI/L0-6EI/L24EI/Lu21v21q21u11v11q110-10000cos
asin a0000u21[T(1)]100000-sin acos
a0000v21=001000001000q210000-10000cos asin a0u11000100000-sin acos
a0v11000001000001q110-10000100000001000[T(1)]T =
0000-10000100000001
0-20.16-5040020.16-5040010000(Kg)=2520000-2520000X-1000000504016800000-5040840000001000020.1650400-20.165040000010-25200002520000000-100050408400000-50401680000000001u1v11u2v22(Kg1)=20.160-5040-20.160-5040u102520000-252000v1-504001680000504008400001-20.160504020.1605040u20-2520000252000v2-504008400005040016800002Matrik
kekakuan lokal batang 2L =500cmL=125000000L=250000
(K)=2520000-2520000020.1650400-20.1650400504016800000-5040840000-252000025200000-20.16-5040020.16-5040050408400000-50401680000u2v22u3v33(Kg2)=2520000-2520000u2020.1650400-20.165040v20504016800000-50408400002-25200002520000u30-20.16-5040020.16-5040v3050408400000-504016800003Matrik
kekakuan lokal batang 3L =300cmL=27000000L=90000sin 270=-1cos
270=0
(K3)=4200000-4200000093.3333333333140000-93.33333333331400001400028000000-140001400000-420000042000000-93.3333333333-14000093.3333333333-1400001400014000000-140002800000
(T)=0-100001000000010000000-10000100000001
[T(1)]T =
010000-100000001000000010000-100000001(Kg3)=093.3333333333140000-93.3333333333140000-10000-4200000420000010000001400028000000-140001400000X0010000-93.3333333333-14000093.3333333333-140000000-104200000-420000000010001400014000000-140002800000000001u3v33u4v44(Kg3)=93.3333333333014000-93.3333333333014000u304200000-420000v31400002800000-14000014000003-93.33333333330-1400093.33333333330-14000u40-4200000420000v41400001400000-14000028000004overal
stiffnessu1v11u2v22u3v33u4v4420.160-5040-20.160-5040000000u102520000-252000000000v1-504001680000504008400000000001-20.160504025220.1605040-2520000000u20-252000025220.1650400-20.165040000v2-504008400005040504033600000-50408400000002000-252000025293.3333333333014000-93.3333333333014000u30000-20.16-5040042020.16-50400-420000v30000504084000014000-50404480000-14000014000003000000-93.33333333330-1400093.33333333330-14000u40000000-4200000420000v40000001400001400000-14000028000004
