contoh soal stiffness struss
TRANSCRIPT
KoordinatNodal X Y
1 0 02 0 33 4 34 4 0
* Matrik Kekakuan ElemenElemen 1 Elemen 2Nodal X Y Nodal
1 0 0 22 0 3 3
EA = 1L= 3Lx = 0Ly = 1
7 8 1 20 0 0 0 7
Ke = 0.333333 0 1 0 -1 8 Ke =0 0 0 0 10 -1 0 1 2
7 8 1 20 0 0 0 7
Ke = 0 0.333333 0 -0.333333 8 Ke =0 0 0 0 10 -0.333333 0 0.333333 2
Elemen 4 Elemen 5Nodal X Y Nodal
1 0 0 14 4 0 3
EA = 1L= 4Lx = 1Ly = 0
7 8 5 61 0 -1 0 7
Ke = 0.25 0 0 0 0 8 Ke =-1 0 1 0 50 0 0 0 6
7 8 5 60.25 0 -0.25 0 7
Ke = 0 0 0 0 8 Ke =
-0.25 0 0.25 0 50 0 0 0 6
* Kekakuan Struktur1 2 3 4 5 6 7 80.378 -0.096 -0.25 0 -0.128 0.096 0 0
-0.096 0.405333 0 0 0.096 -0.072 0 -0.333333-0.25 0 0.378 0.096 0 0 -0.128 -0.096
K = 0 0 0.096 0.405333 0 -0.333333 -0.096 -0.072-0.128 0.096 0 0 0.378 -0.096 -0.25 00.096 -0.072 0 -0.333333 -0.096 0.405333 0 0
0 0 -0.128 -0.096 -0.25 0 0.378 0.0960 -0.333333 -0.096 -0.072 0 0 0.096 0.405333
0.378 -0.096 -0.25 0 -0.128 0.096 0 0-0.096 0.405333 0 0 0.096 -0.072 0 -0.333333
K = -0.25 0 0.378 0.096 0 0 -0.128 -0.0960 0 0.096 0.405333 0 -0.333333 -0.096 -0.072
-0.128 0.096 0 0 0.378 -0.096 -0.25 00.096 -0.072 0 -0.333333 -0.096 0.405333 0 0
0 0 -0.128 -0.096 -0.25 0 0.378 0.0960 -0.333333 -0.096 -0.072 0 0 0.096 0.405333
0.378 -0.096 -0.25 0 -0.128
xD1
+-0.096 0.405333 0 0 0.096 D2
-0.25 0 0.378 0.096 0 D30 0 0.096 0.405333 0 D4
-0.128 0.096 0 0 0.378 D5
0.378 -0.096 -0.25 0 -0.128
xD1
+-0.096 0.405333 0 0 0.096 D2
-0.25 0 0.378 0.096 0 D30 0 0.096 0.405333 0 D4
-0.128 0.096 0 0 0.378 D5
D1
=6.75 1.125 4.75 -1.125 2
xD2 1.125 2.8125 0.791667 -0.1875 -0.333333D3 4.75 0.791667 6.157407 -1.458333 1.407407D4 -1.125 -0.1875 -1.458333 2.8125 -0.333333D5 2 -0.333333 1.407407 -0.333333 3.407407
* Hitung Reaksi Perletakan
Q6
=0.096 -0.072 0 -0.333333 -0.096
x
K11
K12K2
1K22
Q7 = 0 0 -0.128 -0.096 -0.25 xQ8 0 -0.333333 -0.096 -0.072 0
* Gaya Batang
Eleme 11 -1
k' = 0.333333 -1 1 D7 0D8 0
T = 0 1 0 0 D1 9000 0 0 1 D2 150
0
q = 0 0.333333 0 -0.333333 X 0 = -500 -0.333333 0 0.333333 900 50
150
Eleme 31 -1
k' = 0.333333 -1 1 D3 766.6667D4 -675
T = 0 -1 0 0 D5 266.66670 0 0 -1 D6 0
766.6667
q = 0 -0.333333 0 0.333333 X -675 = 2250 0.333333 0 -0.333333 266.6667 -225
0
Eleme 51 -1
k' = 0.2 -1 1 D7 0D8 0
T = 0.8 0.6 0 0 D3 766.66670 0 0.8 0.6 D4 -675
0
q = 0.16 0.12 -0.16 -0.12 X 0 = -41.66667-0.16 -0.12 0.16 0.12 766.6667 41.66667
-675
𝒒=𝒌^′ 𝑻𝑫 k^′=𝐸𝐴/𝐿 [■8(1&−1@−1&1)]T=[■8(■8(𝜆_𝑥@0)&■8( _𝜆 𝑦@0)&■8(■8(0@_𝜆 𝑥 )&■8(0@ _𝜆 𝑦 )))]
Elemen 3X Y Nodal X Y
0 3 3 4 34 3 4 4 0
EA = 1 EA = 1L= 4 L= 3Lx = 1 Lx = 0Ly = 0 Ly = -1
1 2 3 4 31 0 -1 0 1 0
0.25 0 0 0 0 2 Ke = 0.333333 0-1 0 1 0 3 00 0 0 0 4 0
1 2 3 4 30.25 0 -0.25 0 1 0
0 0 0 0 2 Ke = 0-0.25 0 0.25 0 3 0
0 0 0 0 4 0
Elemen 6X Y Nodal X Y
0 0 2 0 34 3 4 4 0
EA = 1 EA = 1L= 5 L= 5Lx = 0.8 Lx = 0.8Ly = 0.6 Ly = -0.6
7 8 3 4 10.64 0.48 -0.64 -0.48 7 0.64
0.2 0.48 0.36 -0.48 -0.36 8 Ke = 0.2 -0.48-0.64 -0.48 0.64 0.48 3 -0.64-0.48 -0.36 0.48 0.36 4 0.48
7 8 3 4 10.128 0.096 -0.128 -0.096 7 0.1280.096 0.072 -0.096 -0.072 8 Ke = -0.096
-0.128 -0.096 0.128 0.096 3 -0.128-0.096 -0.072 0.096 0.072 4 0.096
Deformasi
1 D1 Q12 D2 Q23 D3 Q34 D4 = Q45 D5 Q56 D6 Q67 D7 Q78 D8 Q8
D1 100D2 0D3 0
X D4 = -200D5 0
0 Q60 Q70 Q8
0.096 0 0
x0
=100
-0.072 0 -0.333333 0 00 -0.128 -0.096 0 0
-0.333333 -0.096 -0.072 -200-0.096 -0.25 0 0
0
=100
0 00 00 -2000 0
100
=900
0 1500 766.6667
-200 -6750 266.6667
900150
=275
Q1
D2
D1
Q2
766.6667 = -100-675 -75
266.6667
Eleme 21 -1
k' = 0.25 -1 1 D1 900D2 150
T = 1 0 0 0 D3 766.66670 0 1 0 D4 -675
900
q = 0.25 0 -0.25 0 X 150 = 33.33333-0.25 0 0.25 0 766.6667 -33.33333
-675
Eleme 41 -1
k' = 0.25 -1 1 D7 0D8 0
T = 1 0 0 0 D5 266.66670 0 1 0 D6 0
0
q = 0.25 0 -0.25 0 X 0 = -66.66667-0.25 0 0.25 0 266.6667 66.66667
0
Eleme 61 -1
k' = 0.2 -1 1 D1 900D2 150
T = 0.8 -0.6 0 0 D5 266.66670 0 0.8 -0.6 D6 0
900
q = 0.16 -0.12 -0.16 0.12 X 150 = 83.33333-0.16 0.12 0.16 -0.12 266.6667 -83.33333
0
k^′=𝐸𝐴/𝐿 [■8(1&−1@−1&1)]
4 5 60 0 0 31 0 -1 40 0 0 5
-1 0 1 6
4 5 60 0 0 3
0.333333 0 -0.333333 40 0 0 5
-0.333333 0 0.333333 6
2 5 6-0.48 -0.64 0.48 10.36 0.48 -0.36 20.48 0.64 -0.48 5
-0.36 -0.48 0.36 6
2 5 6-0.096 -0.128 0.096 10.072 0.096 -0.072 2
0.096 0.128 -0.096 5-0.072 -0.096 0.072 6
Nama : Apriyanto A. Pahrun Nim : 5114 09 014 Tugas : Analisa Struktur II
Kordinatnodal x y
a 0 0 225 D2
b 0 1.75 150 D1 d3c 1.5 1.75 D4 Fd 3 3.75 1.5EA 1.75 m d4
Matriks Kekakuan Element 2 D3
element 1 EA 1
Nodal x y EA 1.5EA 2 ma 0 0 5 3 d2b 0 1.75 4 EA d1
3 m D7 D5
EA = 1 D8 D6
L = 3.75 SISI MIRING 2.304886 2Lx = 0 SISI MIRING 2.5 3 KONTROL
Ly = 0.4666667 SISI MIRING 4.804886 4.802343 100% Benar
SISI MIRING 1.658312 50 0 0 0
Ke = 0.266667 0 0.217778 0 -0.2177780 0 0 00 -0.217778 0 0.217778
5 6 1 20 0 0 0 5
Ke = 0 0.058074 0 -0.058074 60 0 0 0 10 -0.058074 0 0.058074 2
element 2 element 3 element 4Nodal x y Nodal x y Nodal x b 0 1.75 c 1.5 1.75 a 0
c 1.5 1.75 d 3 3.75 d 3
EA = 1.5 EA = 1.5 EA =L = 2.3048861 L = 2.5 L =
Lx = 0.6507914 Lx = 1.8 Lx =Ly = 1.5185132 Ly = 2.2 Ly =
0.4235294 0.988235 -0.423529 -0.988235 3.24 3.96 -3.24 -3.96Ke = 0.650791 0.9882353 2.305882 -0.988235 -2.305882 Ke = 0.6 3.96 4.84 -3.96 -4.84 Ke = 0.333333
-0.4235294 -0.988235 0.423529 0.988235 -3.24 -3.96 3.24 3.96-0.9882353 -2.305882 0.988235 2.305882 -3.96 -4.84 3.96 4.84
1 2 3 4 3 4 5 60.2756293 0.643135 -0.275629 -0.643135 1 1.944 2.376 -1.944 -2.376 3
Ke = 0.643135 1.500648 -0.643135 -1.500648 2 Ke = 2.376 2.904 -2.376 -2.904 4 Ke =-0.2756293 -0.643135 0.275629 0.643135 3 -1.944 -2.376 1.944 2.376 5
-0.643135 -1.500648 0.643135 1.500648 4 -2.376 -2.904 2.376 2.904 6
Kekakuan Struktur Deformasi1 2 3 4 5 6 7 8
0.2756293 0.643135 -0.275629 -0.643135 0 0 0 0 D1 Q10.643135 -1.442574 -0.643135 -1.500648 0 0 0 0 D2 Q2
-0.2756293 -0.643135 2.492357 3.019135 -1.944 -2.376 -0.272727 -0.318182 D3 Q3K = -0.643135 -1.500648 3.019135 4.77586 -2.376 -2.904 -0.318182 -0.371212 x D4 = Q4
0 0 -1.944 -2.376 2.277333 2.792667 -0.333333 -0.416667 D5 Q50 0 -2.376 -2.904 2.792667 3.482907 -0.416667 -0.520833 D6 Q60 0 -0.272727 -0.318182 -0.333333 -0.416667 0.606061 0.734848 D7 Q70 0 -0.318182 -0.371212 -0.416667 -0.520833 0.734848 0.892045 D8 Q8
0.2756293 0.643135 -0.275629 -0.643135 0 0 0 0 D1 1500.643135 -1.442574 -0.643135 -1.500648 0 0 0 0 D2 -225
-0.2756293 -0.643135 2.492357 3.019135 -1.944 -2.376 -0.272727 -0.318182 D3 0K = -0.643135 -1.500648 3.019135 4.77586 -2.376 -2.904 -0.318182 -0.371212 x D4 = 0
0 0 -1.944 -2.376 2.277333 2.792667 -0.333333 -0.416667 D5 00 0 -2.376 -2.904 2.792667 3.482907 -0.416667 -0.520833 0 Q60 0 -0.272727 -0.318182 -0.333333 -0.416667 0.606061 0.734848 0 Q70 0 -0.318182 -0.371212 -0.416667 -0.520833 0.734848 0.892045 0 Q8
0.2756293 0.643135 -0.275629 -0.643135 0 D1 0 150 0.280.643135 -1.442574 -0.643135 -1.500648 0 D2 0 -225 0.64
-0.2756293 -0.643135 2.492357 3.019135 -1.944 x D3 + 0 = 0 -0.28-0.643135 -1.500648 3.019135 4.77586 -2.376 D4 0 0 -0.64
0 0 -1.944 -2.376 2.277333 D5 0 0 0.00
D1 8.616566 0.792782 -0.047104 2.9509 3.03854 150 1114.109D2 0.792782 -0.339764 0 0 0 -225 195.3641D3 = -0.047104 0 2.466833 -1.077402 0.981682 x 0 = -7.065604D4 2.9509 0 -1.077402 1.726415 0.88151 0 442.635D5 3.03854 0 0.981682 0.88151 2.196806 0 455.7809
Hitung Reaksi Perletakan1114.109
Q6
=0 0 -2.376 -2.904 2.792667
x195.3641
=4.220194
Q7 0 0 -0.272727 -0.318182 -0.333333 -7.065604 -290.8384Q8 0 0 -0.318182 -0.371212 -0.416667 442.635 -351.972
455.7809
Gaya BatangElement 1 Element 2
1 -1 1 -1k' = 0.266667 -1 1 D7 0 k' = 0.650791 -1 1
D8 0T = 0 0.4666667 0 0 D1 1114.109 T = 0.650791 1.518513 0 0
0 0 0 0.466667 D2 195.3641 0 0 0.650791 1.518513
0
q = 0 0.1244444 0 -0.124444 X 0 = -24.31198 q = 0.423529 0.988235 -0.423529 -0.988235 X
q =0 -0.1244444 0 0.124444
X1114.109
=24.31198
q =-0.423529 -0.988235 0.423529 0.988235
X
195.3641
Element 4 Element 51 -1 1 -1
k' = 0.333333 -1 1 D7 0 k' = 0.603023 -1 1D8 0
T = 1 1.25 0 0 D5 455.7809 T = 0.904534 1.05529 0 00 0 1 1.25 D6 0 0 0 0.904534 1.05529
0
q = 0.333333 0.4166667 -0.333333 -0.416667 X 0 = -151.927 q = 0.545455 0.636364 -0.545455 -0.636364 X-0.333333 -0.4166667 0.333333 0.416667 455.7809 151.927 -0.545455 -0.636364 0.545455 0.636364
0
element 5y Nodal x y
0 a 0 0
3.75 c 1.5 1.75
1 EA = 13 L = 1.6583121 Lx = 0.904534
1.25 Ly = 1.05529
1 1.25 -1 -1.25 0.818182 0.954545 -0.818182 -0.9545451.25 1.5625 -1.25 -1.5625 Ke = 0.603023 0.954545 1.113636 -0.954545 -1.113636
-1 -1.25 1 1.25 -0.818182 -0.954545 0.818182 0.954545-1.25 -1.5625 1.25 1.5625 -0.954545 -1.113636 0.954545 1.113636
5 6 7 8 7 8 3 40.333333 0.416667 -0.333333 -0.416667 5 0.272727 0.318182 -0.272727 -0.318182 70.416667 0.520833 -0.416667 -0.520833 6 Ke = 0.318182 0.371212 -0.318182 -0.371212 8
-0.333333 -0.416667 0.333333 0.416667 7 -0.272727 -0.318182 0.272727 0.318182 3-0.416667 -0.520833 0.416667 0.520833 8 -0.318182 -0.371212 0.318182 0.371212 4
Element 31 -1
D1 1114.109 k' = 0.6 -1 1 D3 -7.065604D2 195.3641 D4 442.635D3 -7.065604 T = 1.8 2.2 0 0 D5 455.7809D4 442.635 0 0 1.8 2.2 D6 0
1114.109 -7.065604195.3641 = 230.4886 q = 1.08 1.32 -1.08 -1.32 X 442.635 = 84.40388
-7.065604=
-230.4886q =
-1.08 -1.32 1.08 1.32X
455.7809=
-84.40388442.635 0
D7 0D8 0D3 -7.065604D4 442.635
Gaya Batang00 = -277.8228 Element 1
-7.065604 277.8228442.635 k' = 0.266667
T = 00
q = 00
Element 3
k' = 0.6
T = 1.80
q = 1.08-1.08
Element 5
k' = 0.603023
T = 0.9045340
q = 0.545455-0.545455
Element 21 -1 1 -1
-1 1 D7 0 k' = 0.650791 -1 1 D1 1114.109D8 0 D2 195.36409
0.466667 0 0 D1 1114.109 T = 0.650791 1.518513 0 0 D3 -7.0656040 0 0.466667 D2 195.3641 0 0 0.650791 1.518513 D4 442.63497
0 1114.1090.124444 0 -0.124444 X 0 = -24.31198 q = 0.423529 0.988235 -0.423529 -0.988235 X 195.3641 =
-0.124444 0 0.124444 1114.109 24.31198 -0.423529 -0.988235 0.423529 0.988235 -7.065604195.3641 442.635
Element 4 1 -1 1 -1
-1 1 D3 -7.065604 k' = 0.333333 -1 1 D7 0D4 442.635 D8 0
2.2 0 0 D5 455.7809 T = 1 1.25 0 0 D5 455.780950 1.8 2.2 D6 0 0 0 1 1.25 D6 0
-7.065604 01.32 -1.08 -1.32 X 442.635 = 84.40388 q = 0.333333 0.416667 -0.333333 -0.416667 X 0 =
-1.32 1.08 1.32 455.7809 -84.40388 -0.333333 -0.416667 0.333333 0.416667 455.78090 0
1 -1-1 1 D7 0
D8 01.05529 0 0 D3 -7.065604
0 0.904534 1.05529 D4 442.635
00.636364 -0.545455 -0.636364 X 0 = -277.8228
-0.636364 0.545455 0.636364 -7.065604 277.8228442.635
230.4886-230.4886
-151.927151.927
Kordinatnodal x y
a 0 0b 0 1.75c 1.5 1.75d 3 3.75
Matriks Kekakuan Elementelement 1 element 2 element 3
Nodal x y Nodal x y Nodal x ya 0 0 b 0 1.75 c 1.5 1.75b 0 1.75 c 1.5 1.75 d 3 3.75
EA = 1 EA = 1.5 EA = 1.5L = 3.75 L = 2.3048861 L = 2.5Lx = 0 Lx = 0.6507914 Lx = 1.8Ly = 0.4666667 Ly = 1.5185132 Ly = 2.2
0 0 0 0 0.4235294 0.9882353 -0.423529 -0.988235 3.24 3.96 -3.24Ke = 0.2666667 0 0.2177778 0 -0.217778 Ke = 0.6507914 0.9882353 2.3058824 -0.988235 -2.305882 Ke = 0.6 3.96 4.84 -3.96
0 0 0 0 -0.423529 -0.988235 0.4235294 0.9882353 -3.24 -3.96 3.240 -0.217778 0 0.2177778 -0.988235 -2.305882 0.9882353 2.3058824 -3.96 -4.84 3.96
5 6 1 2 1 2 3 4 3 4 50 0 0 0 5 0.2756293 0.643135 -0.275629 -0.643135 1 1.944 2.376 -1.944
Ke = 0 0.0580741 0 -0.058074 6 Ke = 0.643135 1.5006483 -0.643135 -1.500648 2 Ke = 2.376 2.904 -2.3760 0 0 0 1 -0.275629 -0.643135 0.2756293 0.643135 3 -1.944 -2.376 1.9440 -0.058074 0 0.0580741 2 -0.643135 -1.500648 0.643135 1.5006483 4 -2.376 -2.904 2.376
element 4 element 5 element 5Nodal x y Nodal x y Nodal x y
a 0 0 a 0 0 a 0 0 Ke =d 3 3.75 c 1.5 1.75 c 1.5 1.75
EA = 1 EA = 1 EA = 1L = 3 L = 1.6583124 L = 1.6583124Lx = 1 Lx = 0.904534 Lx = 0.904534Ly = 1.25 Ly = 1.0552897 Ly = 1.0552897 Ke =
1 1.25 -1 -1.25 0.8181818 0.9545455 -0.818182 -0.954545Ke = 0.3333333 1.25 1.5625 -1.25 -1.5625 Ke = 0.6030227 0.9545455 1.1136364 -0.954545 -1.113636
-1 -1.25 1 1.25 -0.818182 -0.954545 0.8181818 0.9545455
-1.25 -1.5625 1.25 1.5625 -0.954545 -1.113636 0.9545455 1.1136364
5 6 7 8 7 8 3 40.3333333 0.4166667 -0.333333 -0.416667 5 0.2727273 0.3181818 -0.272727 -0.318182 7
Ke = 0.4166667 0.5208333 -0.416667 -0.520833 6 Ke = 0.3181818 0.3712121 -0.318182 -0.371212 8-0.333333 -0.416667 0.3333333 0.4166667 7 -0.272727 -0.318182 0.2727273 0.3181818 3-0.416667 -0.520833 0.4166667 0.5208333 8 -0.318182 -0.371212 0.3181818 0.3712121 4
Kekakuan Struktur Deformasi1 2 3 4 5 6 7 8
0.2756293 0.643135 -0.275629 -0.643135 0 0 0 0 D1 Q10.643135 -1.442574 -0.643135 -1.500648 0 0 0 0 D2 Q2-0.275629 -0.643135 2.4923566 3.019135 -1.944 -2.376 -0.272727 -0.318182 D3 Q3
K = -0.643135 -1.500648 3.019135 4.7758605 -2.376 -2.904 -0.318182 -0.371212 x D4 = Q40 0 -1.944 -2.376 2.2773333 2.7926667 -0.333333 -0.416667 D5 Q50 0 -2.376 -2.904 2.7926667 3.4829074 -0.416667 -0.520833 D6 Q60 0 -0.272727 -0.318182 -0.333333 -0.416667 0.6060606 0.7348485 D7 Q70 0 -0.318182 -0.371212 -0.416667 -0.520833 0.7348485 0.8920455 D8 Q8
0.2756293 0.643135 -0.275629 -0.643135 0 0 0 0 D1 1500.643135 -1.442574 -0.643135 -1.500648 0 0 0 0 D2 -225-0.275629 -0.643135 2.4923566 3.019135 -1.944 -2.376 -0.272727 -0.318182 D3 0
K = -0.643135 -1.500648 3.019135 4.7758605 -2.376 -2.904 -0.318182 -0.371212 x D4 = 00 0 -1.944 -2.376 2.2773333 2.7926667 -0.333333 -0.416667 D5 00 0 -2.376 -2.904 2.7926667 3.4829074 -0.416667 -0.520833 0 Q60 0 -0.272727 -0.318182 -0.333333 -0.416667 0.6060606 0.7348485 0 Q70 0 -0.318182 -0.371212 -0.416667 -0.520833 0.7348485 0.8920455 0 Q8
D1 8.6165661 0.7927818 -0.047104 2.9508998 3.0385397 150 1114.109D2 0.7927818 -0.339764 0 0 0 -225 195.36409D3 = -0.047104 0 2.4668331 -1.077402 0.981682 x 0 = -7.065604D4 2.9508998 0 -1.077402 1.7264149 0.8815104 0 442.63497D5 3.0385397 0 0.981682 0.8815104 2.1968056 0 455.78095
Hitung Reaksi Perletakan1114.109
Q6 0 0 -2.376 -2.904 2.7926667 x 195.36409 4.220194Q7 = 0 0 -0.272727 -0.318182 -0.333333 -7.065604 = -290.8384Q8 0 0 -0.318182 -0.371212 -0.416667 442.63497 -351.972
455.78095Gaya Batang
Element 1 Element 2 Element 3
0.26666671 -1
0.65079141 -1
k' =0.2666667
-1 1 D7 0 k' =0.6507914
-1 1 D1 1114.109 k' =D8 0 D2 195.36409
T = 0 0.4666667 0 0 D1 1114.109 T = 0.6507914 1.5185132 0 0 D3 -7.065604 T =0 0 0 0.4666667 D2 195.36409 0 0 0.6507914 1.5185132 D4 442.63497
0 1114.109q = 0 0.1244444 0 -0.124444
X0
=-24.31198 q = 0.4235294 0.9882353 -0.423529 -0.988235
X195.36409
=230.48861 q =
0 -0.124444 0 0.1244444 1114.109 24.311975 -0.423529 -0.988235 0.4235294 0.9882353 -7.065604 -230.4886195.36409 442.63497
Element 4 Element 5
0.33333331 -1
0.60302271 -1
k' = -1 1 D7 0 k' = -1 1 D7 0D8 0 D8 0
T = 1 1.25 0 0 D5 455.78095 T = 0.904534 1.0552897 0 0 D3 -7.0656040 0 1 1.25 D6 0 0 0 0.904534 1.0552897 D4 442.63497
0 0q = 0.3333333 0.4166667 -0.333333 -0.416667
X0
=-151.927 q = 0.5454545 0.6363636 -0.545455 -0.636364
X0
=-277.8228
-0.333333 -0.416667 0.3333333 0.4166667 455.78095 151.92698 -0.545455 -0.636364 0.5454545 0.6363636 -7.065604 277.822830 442.63497
element 4 element 5Nodal x y Nodal x y
a 0 0 a 0 0d 3 3.75 c 1.5 1.75
EA = 1 EA = 1L = 3 L = 1.6583124Lx = 1 Lx = 0.904534Ly = 1.25 Ly = 1.0552897
-3.96 1 1.25 -1 -1.25 0.8181818 0.9545455 -0.818182 -0.954545-4.84 Ke = 0.3333333 1.25 1.5625 -1.25 -1.5625 Ke = 0.6030227 0.9545455 1.1136364 -0.954545 -1.1136363.96 -1 -1.25 1 1.25 -0.818182 -0.954545 0.8181818 0.95454554.84 -1.25 -1.5625 1.25 1.5625 -0.954545 -1.113636 0.9545455 1.1136364
6 5 6 7 8 7 8 3 4-2.376 3 0.3333333 0.4166667 -0.333333 -0.416667 5 0.2727273 0.3181818 -0.272727 -0.318182 7-2.904 4 Ke = 0.4166667 0.5208333 -0.416667 -0.520833 6 Ke = 0.3181818 0.3712121 -0.318182 -0.371212 82.376 5 -0.333333 -0.416667 0.3333333 0.4166667 7 -0.272727 -0.318182 0.2727273 0.3181818 32.904 6 -0.416667 -0.520833 0.4166667 0.5208333 8 -0.318182 -0.371212 0.3181818 0.3712121 4
0.8181818 0.9545455 -0.818182 -0.9545450.6030227 0.9545455 1.1136364 -0.954545 -1.113636
-0.818182 -0.954545 0.8181818 0.9545455-0.954545 -1.113636 0.9545455 1.1136364
7 8 3 40.2727273 0.3181818 -0.272727 -0.318182 70.3181818 0.3712121 -0.318182 -0.371212 8-0.272727 -0.318182 0.2727273 0.3181818 3-0.318182 -0.371212 0.3181818 0.3712121 4
0.61 -1
0.6-1 1 D3 -7.065604
D4 442.634971.8 2.2 0 0 D5 455.780950 0 1.8 2.2 D6 0
-7.0656041.08 1.32 -1.08 -1.32
X442.63497
=84.403879
-1.08 -1.32 1.08 1.32 455.78095 -84.403880
Gaya BatangElement 1 Element 2
0.26666671 -1
0.65079141 -1
k' = -1 1 D7 0 k' = -1 1 D1 1114.109D8 0 D2 195.36409
T = 0 0.4666667 0 0 D1 1114.109 T = 0.6507914 1.5185132 0 0 D3 -7.0656040 0 0 0.4666667 D2 195.36409 0 0 0.6507914 1.5185132 D4 442.63497
0 1114.109q = 0 0.1244444 0 -0.124444
X0
=-24.31198 q = 0.4235294 0.9882353 -0.423529 -0.988235
X195.36409
=230.48861
0 -0.124444 0 0.1244444 1114.109 24.311975 -0.423529 -0.988235 0.4235294 0.9882353 -7.065604 -230.4886195.36409 442.63497
Element 3 Element 4 0.6 1 -1 0.3333333 1 -1
k' = -1 1 D3 -7.065604 k' = -1 1 D7 0D4 442.63497 D8 0
T = 1.8 2.2 0 0 D5 455.78095 T = 1 1.25 0 0 D5 455.780950 0 1.8 2.2 D6 0 0 0 1 1.25 D6 0
-7.065604 0q = 1.08 1.32 -1.08 -1.32 X 442.63497 = 84.403879 q = 0.3333333 0.4166667 -0.333333 -0.416667 X 0 = -151.927
-1.08 -1.32 1.08 1.32 455.78095 -84.40388 -0.333333 -0.416667 0.3333333 0.4166667 455.78095 151.926980 0
Element 5
0.60302271 -1
k' = -1 1 D7 0D8 0
T = 0.904534 1.0552897 0 0 D3 -7.0656040 0 0.904534 1.0552897 D4 442.63497
0q = 0.5454545 0.6363636 -0.545455 -0.636364
X0
=-277.8228
-0.545455 -0.636364 0.5454545 0.6363636 -7.065604 277.82283442.63497