Kelompok 2
MATRIKS KEKAKUAN STRUKTUR
F1 d1
F2 d2
F3 d3
F4 d4
F5 d5
F6 d6
F7 d7
F8 d8
dikarenakan [Ka] = [Kd] = [Ki], maka
53644.213 26822.046 -53644.213 -26822.046
[K] = 26822.046 13410.993 -26822.046 -13410.993
-53644.213 -26822.046 53644.213 26822.046
-26822.046 -13410.993 26822.046 13410.993
dikarenakan [Kb] = [Kf] = [Kj] = [Km], maka
74970.000 0.000 -74970.000 0.000
=
0
ka12
ka22 + kc11 + kd11 + ke11
kc21
kd21
ke21
0
0
kf21
0
0
ka11 + kb11
Ka21
kb21
0
0
0
0 0
0
0
0
0
0
kb12
kc12
kb22 + kc22 + kf11
0
0
0
0
0
0
kj21 kk21
kl21
kh12
ki12
0
0
0
0
0
0
0
0
kd12
kd22 + kg11 + kh11
kg21
kh21
ke12
kf12
kg12
ke22 + kf22 + kg22 + ki11 + kj11
ki21 kh22 + ki22 + kk11 + kl11
kj12
kk12
kj22 + kk22 + km11
km21
kl12
km12
kl22 + km22
0
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
TUGAS METODE ELEMENT HINGGA
74970.000 0.000 -74970.000 0.000
[K] = 0.000 0.000 0.000 0.000
-74970.000 0.000 74970.000 0.000
0.000 0.000 0.000 0.000
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
TUGAS METODE ELEMENT HINGGA
Kelompok 2
dikarenakan [Ke] = [Kh] = [Kl] , maka
53644.213 -26822.046 -53644.213 26822.046
[K] = -26822.046 13410.993 26822.046 -13410.993
-53644.213 26822.046 53644.213 -26822.046
26822.046 -13410.993 -26822.046 13410.993
dikarenakan [Kc] = [Kk] , maka
0.000 0.000 0.000 0.000
[K] = 0.000 149940.000 0.000 -149940.000
0.000 0.000 0.000 0.000
0.000 -149940.000 0.000 149940.000
matriks kekakuan untuk batang [Kg] , ialah
0.000 0.000 0.000 0.000
[K] = 0.000 74970.000 0.000 -74970.000
0.000 0.000 0.000 0.000
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
TUGAS METODE ELEMENT HINGGA
[K] = 0.000 74970.000 0.000 -74970.000
0.000 0.000 0.000 0.000
0.000 -74970.000 0.000 74970.000
Kx11 Kx12
Kx21 Kx22
Kx21 Kx22
TUGAS METODE ELEMENT HINGGA
Kelompok 2
H1 128614.213 26822.046 -53644.213 -26822.046 -74970.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
V1 26822.046 13410.993 -26822.046 -13410.993 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
0 -53644.213 -26822.046 160932.638 26822.046 0.000 0.000 -53644.213 -26822.046 -53644.213 26822.046 0.000 0.000 0.000 0.000 0.000 0.000 U2
-3000 -26822.046 -13410.993 26822.046 190172.980 0.000 -149940.000 -26822.046 -13410.993 26822.046 -13410.993 0.000 0.000 0.000 0.000 0.000 0.000 V2
H3 -74970.000 0.000 0.000 0.000 149940.000 0.000 0.000 0.000 -74970.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 U3
V3 0.000 0.000 0.000 -149940.000 0.000 149940.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 V3
0 0.000 0.000 -53644.213 -26822.046 0.000 0.000 107288.425 0.000 0.000 0.000 -53644.213 26822.046 0.000 0.000 0.000 0.000 U4
-3000 0.000 0.000 -26822.046 -13410.993 0.000 0.000 0.000 101791.987 0.000 -74970.000 26822.046 -13410.993 0.000 0.000 0.000 0.000 V4
H5 0.000 0.000 -53644.213 26822.046 -74970.000 0.000 0.000 0.000 257228.425 0.000 -53644.213 -26822.046 -74970.000 0.000 0.000 0.000 U5
V5 0.000 0.000 26822.046 -13410.993 0.000 0.000 0.000 -74970.000 0.000 101791.987 -26822.046 -13410.993 0.000 0.000 0.000 0.000 V5
0 0.000 0.000 0.000 0.000 0.000 0.000 -53644.213 26822.046 -53644.213 -26822.046 160932.638 -26822.046 0.000 0.000 -53644.213 26822.046 U6
-3000 0.000 0.000 0.000 0.000 0.000 0.000 26822.046 -13410.993 -26822.046 -13410.993 -26822.046 190172.980 0.000 -149940.000 26822.046 -13410.993 V6
H7 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -74970.000 0.000 0.000 0.000 149940.000 0.000 -74970.000 0.000 U7
V7 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -149940.000 0.000 149940.000 0.000 0.000 V7
H8 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -53644.213 26822.046 -74970.000 0.000 128614.213 -26822.046 0
V8 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 26822.046 -13410.993 0.000 0.000 -26822.046 13410.993 0
SYARAT BATAS
U1 = 0 U2 = Berpindah U3 = Berpindah U4 = Berpindah U5 = Berpindah
V1 = 0 V2 = Berpindah V3 = Berpindah V4 = Berpindah V5 = Berpindah
U6 = Berpindah U7 = Berpindah U8 = 0
V6 = Berpindah V7 = Berpindah V8 = 0
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
TUGAS METODE ELEMENT HINGGATUGAS METODE ELEMENT HINGGA
Kelompok 2
Maka Matriks menjadi
0 160932.638 26822.046 0.000 0.000 -53644.213 -26822.046 -53644.213 26822.046 0.000 0.000 0.000 0.000 U2
-3000 26822.046 190172.980 0.000 -149940.000 -26822.046 -13410.993 26822.046 -13410.993 0.000 0.000 0.000 0.000 V2
H3 0.000 0.000 149940.000 0.000 0.000 0.000 -74970.000 0.000 0.000 0.000 0.000 0.000 U3
V3 0.000 -149940.000 0.000 149940.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 V3
0 -53644.213 -26822.046 0.000 0.000 107288.425 0.000 0.000 0.000 -53644.213 26822.046 0.000 0.000 U4
-3000 -26822.046 -13410.993 0.000 0.000 0.000 101791.987 0.000 -74970.000 26822.046 -13410.993 0.000 0.000 V4
H5 -53644.213 26822.046 -74970.000 0.000 0.000 0.000 257228.425 0.000 -53644.213 -26822.046 -74970.000 0.000 U5
V5 26822.046 -13410.993 0.000 0.000 0.000 -74970.000 0.000 101791.987 -26822.046 -13410.993 0.000 0.000 V5
0 0.000 0.000 0.000 0.000 -53644.213 26822.046 -53644.213 -26822.046 160932.638 -26822.046 0.000 0.000 U6
-3000 0.000 0.000 0.000 0.000 26822.046 -13410.993 -26822.046 -13410.993 -26822.046 190172.980 0.000 -149940.000 V6
H7 0.000 0.000 0.000 0.000 0.000 0.000 -74970.000 0.000 0.000 0.000 149940.000 0.000 U7
V7 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -149940.000 0.000 149940.000 V7
Invers Matriks kekakuan struktur menjadi :
U2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
V2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -3000
U3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
V3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
U4 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
V4 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -3000
U5 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
V5 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
U6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
V6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -3000
U7 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
TUGAS METODE ELEMENT HINGGA
V6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -3000
U7 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
V7 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
TUGAS METODE ELEMENT HINGGA
Kelompok 2
PERPINDAHAN TITIK
U2 = 0.094 Cm
V2 = -0.523 Cm
U3 = 0.000 Cm
V3 = -0.523 Cm
U4 = 0.000 Cm
V4 = -0.559 Cm
U5 = 0.000 Cm
V5 = -0.599 Cm
U6 = -0.094 Cm
V6 = -0.523 Cm
U7 = 0.000 Cm
V7 = -0.523 Cm
MATRIKS REAKSI TUMPUAN
SX1 = 128614.2126 26822.0464 -53644.21258 -26822.0464 -74970 0 0 0 0 0 0 0 0 0 0 0 0
SY1 = 26822.0464 13410.99325 -26822.0464 -13410.99325 0 0 0 0 0 0 0 0 0 0 0 0 0
SX2 = -53644.21258 -26822.0464 160932.6377 26822.0464 -5.06381E-27 -2.75548E-11 -53644.21258 -26822.0464 -53644.21258 26822.0464 0 0 0 0 0 0 0.094
SY2 = -26822.0464 -13410.99325 26822.0464 190172.9798 -2.75548E-11 -149940 -26822.0464 -13410.99325 26822.0464 -13410.99325 0 0 0 0 0 0 -0.523
SX3 = -74970 0 -5.06381E-27 -2.75548E-11 149940 2.75548E-11 0 0 -74970 0 0 0 0 0 0 0 0.000
SY3 = 0 0 -2.75548E-11 -149940 2.75548E-11 149940 0 0 0 0 0 0 0 0 0 0 -0.523
SX4 = 0 0 -53644.21258 -26822.0464 0 0 107288.4252 -2.91038E-11 -2.53191E-27 -1.37774E-11 -53644.21258 26822.0464 0 0 0 0 0.000
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
Kx11 Kx12
Kx21 Kx22
TUGAS METODE ELEMENT HINGGA
SY3 = 0 0 -2.75548E-11 -149940 2.75548E-11 149940 0 0 0 0 0 0 0 0 0 0 -0.523
SX4 = 0 0 -53644.21258 -26822.0464 0 0 107288.4252 -2.91038E-11 -2.53191E-27 -1.37774E-11 -53644.21258 26822.0464 0 0 0 0 0.000
SY4 = 0 0 -26822.0464 -13410.99325 0 0 -2.91038E-11 101791.9865 -1.37774E-11 -74970 26822.0464 -13410.99325 0 0 0 0 -0.559
SX5 = 0 0 -53644.21258 26822.0464 -74970 0 -2.53191E-27 -1.37774E-11 257228.4252 -2.91038E-11 -53644.21258 -26822.0464 -74970 0 0 0 0.000
SY5 = 0 0 26822.0464 -13410.99325 0 0 -1.37774E-11 -74970 -2.91038E-11 101791.9865 -26822.0464 -13410.99325 0 0 0 0 -0.599
SX6 = 0 0 0 0 0 0 -53644.21258 26822.0464 -53644.21258 -26822.0464 160932.6377 -26822.0464 -5.06381E-27 -2.75548E-11 -53644.21258 26822.0464 -0.094
SY6 = 0 0 0 0 0 0 26822.0464 -13410.99325 -26822.0464 -13410.99325 -26822.0464 190172.9798 -2.75548E-11 -149940 26822.0464 -13410.99325 -0.523
SX7 = 0 0 0 0 0 0 0 0 -74970 0 -5.06381E-27 -2.75548E-11 149940 2.75548E-11 -74970 0 0.000
SY7 = 0 0 0 0 0 0 0 0 0 0 -2.75548E-11 -149940 2.75548E-11 149940 0 0 -0.523
SX8 = 0 0 0 0 0 0 0 0 0 0 -53644.21258 26822.0464 -74970 0 128614.2126 -26822.0464 0
SY8 = 0 0 0 0 0 0 0 0 0 0 26822.0464 -13410.99325 0 0 -26822.0464 13410.99325 0
TUGAS METODE ELEMENT HINGGA
Kelompok 2
REAKSI PADA SETIAP TITIK SIMPUL
SX1 = 9000.020 Kg ∑SX = 0.000SY1 = 4500.000 Kg ∑SY = 0.000SX2 = 0.000 Kg
SY2 = -3000.000 Kg
SX3 = 0.000 Kg
SY3 = 0.000 Kg
SX4 = 0.000 Kg
SY4 = -3000.000 Kg
SX5 = 0.000 Kg
SY5 = 0.000 Kg
SX6 = 0.000 Kg
SY6 = -3000.000 Kg
SX7 = 0.000 Kg
SY7 = 0.000 Kg
SX8 = -9000.020 Kg
SY8 = 4500.000 Kg
TUGAS METODE ELEMENT HINGGATUGAS METODE ELEMENT HINGGA
Kelompok 2
GAYA BATANGBatang a
U1 C S 0 0 U1V1 -S C 0 0 V1U2 0 0 C S U2V2 0 0 -S C V2
U1 0.894 0.447 0.000 0.000 0.000000V1 -0.447 0.894 0.000 0.000 0.000000U2 0.000 0.000 0.894 0.447 0.093890V2 0.000 0.000 -0.447 0.894 -0.523326
U1 0.00000V1 0.00000U2 -0.15006V2 -0.51007
SX1 EA 1 -1 U1 V8 0SX2 La -1 1 U2
SX1 SX2SX1 1 -1 0.00000SX2 -1 1 -0.15006
1 2SX1 0.1501SX2 -0.1501
SX1 10062.324 KgSX2 -10062.324 Kg
Batang b
U1 C S 0 0 U1V1 -S C 0 0 V1U3 0 0 C S U3
= 67055.206
=
= x
( - )
= 67055.206 → ←
a
= x
= x
=
=
TUGAS METODE ELEMEN HINGGA
U3 0 0 C S U3V3 0 0 -S C V3
U1 1.000 0.000 0.000 0.000 0.000000V1 0.000 1.000 0.000 0.000 0.000000U3 0.000 0.000 1.000 0.000 0.000000V3 0.000 0.000 0.000 1.000 -0.523326
U1 0.00000V1 0.00000U3 0.00000V3 -0.52333
SX1 EA 1 -1 U1 V8 0SX3 Lb -1 1 U3
SX1 SX3SX1 1 -1 0.00000SX3 -1 1 0.00000
1 3SX1 0.0000SX3 0.0000
SX1 0.000 KgSX3 0.000 Kg
b
= 74970.000
=
=
=
= 74970.000
= x
= x
TUGAS METODE ELEMEN HINGGA
Kelompok 2
Batang c
U2 C S 0 0 U2V2 -S C 0 0 V2U3 0 0 C S U3V3 0 0 -S C V3
U2 0.000 -1.000 0.000 0.000 0.093890V2 1.000 0.000 0.000 0.000 -0.523326U3 0.000 0.000 0.000 -1.000 0.000000V3 0.000 0.000 1.000 0.000 -0.523326
U2 0.52333V2 0.09389U3 0.52333V3 0.00000
SX2 EA 1 -1 U2 V8 0SX3 Lc -1 1 U3
SX2 SX3SX2 1 -1 0.52333SX3 -1 1 0.52333
2 3SX2 0.0000SX3 0.0000
SX2 0.000 KgSX3 0.000 Kg
Batang d
U2 C S 0 0 U2V2 -S C 0 0 V2U4 0 0 C S U4V4 0 0 -S C V4
U2 0.894 0.447 0.000 0.000 0.093890
= x
c
= 149940.000
=
= x
= x
=
=
= 149940.000
= x
TUGAS METODE ELEMEN HINGGA
U2 0.894 0.447 0.000 0.000 0.093890V2 -0.447 0.894 0.000 0.000 -0.523326U4 0.000 0.000 0.894 0.447 0.000000V4 0.000 0.000 -0.447 0.894 -0.559243
U2 -0.15006V2 -0.51007U4 -0.25010V4 -0.50020
SX2 EA 1 -1 U2 V8 0SX4 Ld -1 1 U4
SX2 SX4SX2 1 -1 -0.15006SX4 -1 1 -0.25010
2 4SX2 0.1000SX4 -0.1000
SX2 6708.216 KgSX4 -6708.216 Kg
←
d
= 67055.206
=
= x
=
=
( - )
= 67055.206 →
TUGAS METODE ELEMEN HINGGA
Kelompok 2
Batang e
U2 C S 0 0 U2V2 -S C 0 0 V2U5 0 0 C S U5V5 0 0 -S C V5
U2 0.894 -0.447 0.000 0.000 0.093890V2 0.447 0.894 0.000 0.000 -0.523326U5 0.000 0.000 0.894 -0.447 0.000000V5 0.000 0.000 0.447 0.894 -0.599259
U2 0.31802V2 -0.42609U5 0.26800V5 -0.53599
SX2 EA 1 -1 U2 V8 0SX5 Le -1 1 U5
SX2 SX5SX2 1 -1 0.31802SX5 -1 1 0.26800
2 5SX2 0.0500SX5 -0.0500
SX2 3354.108 KgSX5 -3354.108 Kg
Batang f
U3 C S 0 0 U3V3 -S C 0 0 V3U5 0 0 C S U5V5 0 0 -S C V5
U3 1.000 0.000 0.000 0.000 0.000000
= x
←
e
= 67055.206
=
= x
= x
=
=
( - )
= 67055.206 →
= x
TUGAS METODE ELEMEN HINGGA
U3 1.000 0.000 0.000 0.000 0.000000V3 0.000 1.000 0.000 0.000 -0.523326U5 0.000 0.000 1.000 0.000 0.000000V5 0.000 0.000 0.000 1.000 -0.599259
U3 0.00000V3 -0.52333U5 0.00000V5 -0.59926
SX3 EA 1 -1 U3 V8 0SX5 Lf -1 1 U5
SX3 SX5SX3 1 -1 0.00000SX5 -1 1 0.00000
3 5SX3 0.0000SX5 0.0000
SX3 0.000 KgSX5 0.000 Kg
f
= 74970.000
=
= x
=
=
= 74970.000
TUGAS METODE ELEMEN HINGGA
Kelompok 2
Batang g
U4 C S 0 0 U4V4 -S C 0 0 V4U5 0 0 C S U5V5 0 0 -S C V5
U4 0.000 -1.000 0.000 0.000 0.000000V4 1.000 0.000 0.000 0.000 -0.559243U5 0.000 0.000 0.000 -1.000 0.000000V5 0.000 0.000 1.000 0.000 -0.599259
U4 0.55924V4 0.00000U5 0.59926V5 0.00000
SX4 EA 1 -1 U4 V8 0SX5 Lg -1 1 U5
SX4 SX5SX4 1 -1 0.55924SX5 -1 1 0.59926
4 5SX4 -0.0400SX5 0.0400
SX4 -3000.000 KgSX5 3000.000 Kg
Batang h
U4 C S 0 0 U4V4 -S C 0 0 V4U6 0 0 C S U6V6 0 0 -S C V6
= x
→
g
= 74970.000
=
= x
= x
=
=
( + )
= 74970.000 ←
= x
TUGAS METODE ELEMEN HINGGA
U4 0.894 -0.447 0.000 0.000 0.000000V4 0.447 0.894 0.000 0.000 -0.559243U6 0.000 0.000 0.894 -0.447 -0.093890V6 0.000 0.000 0.447 0.894 -0.523326
U4 0.25010V4 -0.50020U6 0.15006V6 -0.51007
SX4 EA 1 -1 U4 V8 0SX6 Lh -1 1 U6
SX4 SX6SX4 1 -1 0.25010SX6 -1 1 0.15006
4 6SX4 0.1000SX6 -0.1000
SX4 6708.216 KgSX6 -6708.216 Kg
←
h
= 67055.206
=
= x
=
=
( - )
= 67055.206 →
TUGAS METODE ELEMEN HINGGA
Kelompok 2
Batang i
U5 C S 0 0 U5V5 -S C 0 0 V5U6 0 0 C S U6V6 0 0 -S C V6
U5 0.894 0.447 0.000 0.000 0.000000V5 -0.447 0.894 0.000 0.000 -0.599259U6 0.000 0.000 0.894 0.447 -0.093890V6 0.000 0.000 -0.447 0.894 -0.523326
U5 -0.26800V5 -0.53599U6 -0.31802V6 -0.42609
SX5 EA 1 -1 U5 V8 0SX6 Li -1 1 U6
SX5 SX6SX5 1 -1 -0.26800SX6 -1 1 -0.31802
5 6SX5 0.0500SX6 -0.0500
SX5 3354.108 KgSX6 -3354.108 Kg
Batang j
U5 C S 0 0 U5V5 -S C 0 0 V5U7 0 0 C S U7V7 0 0 -S C V7
= x
←
i
= 67055.206
=
= x
= x
=
=
( - )
= 67055.206 →
= x
TUGAS METODE ELEMEN HINGGA
U5 1.000 0.000 0.000 0.000 0.000000V5 0.000 1.000 0.000 0.000 -0.599259U7 0.000 0.000 1.000 0.000 0.000000V7 0.000 0.000 0.000 1.000 -0.523326
U5 0.00000V5 -0.59926U7 0.00000V7 -0.52333
SX5 EA 1 -1 U5 V8 0SX7 Lj -1 1 U7
SX5 SX7SX5 1 -1 0.00000SX7 -1 1 0.00000
5 7SX5 0.0000SX7 0.0000
SX5 0.000 KgSX7 0.000 Kg
j
= 74970.000
=
= x
=
=
= 74970.000
TUGAS METODE ELEMEN HINGGA
Kelompok 2
Batang k
U6 C S 0 0 U6V6 -S C 0 0 V6U7 0 0 C S U7V7 0 0 -S C V7
U6 0.000 -1.000 0.000 0.000 -0.093890V6 1.000 0.000 0.000 0.000 -0.523326U7 0.000 0.000 0.000 -1.000 0.000000V7 0.000 0.000 1.000 0.000 -0.523326
U6 0.52333V6 -0.09389U7 0.52333V7 0.00000
SX6 EA 1 -1 U6 V8 0SX7 Lk -1 1 U7
SX6 SX7SX6 1 -1 0.52333SX7 -1 1 0.52333
6 7SX6 0.0000SX7 0.0000
SX6 0.000 KgSX7 0.000 Kg
Batang l
U6 C S 0 0 U6V6 -S C 0 0 V6U8 0 0 C S U8V8 0 0 -S C V8
= x
k
= 149940.000
=
= x
= x
=
=
= 149940.000
= x
TUGAS METODE ELEMEN HINGGA
U6 0.894 -0.447 0.000 0.000 -0.093890V6 0.447 0.894 0.000 0.000 -0.523326U8 0.000 0.000 0.894 -0.447 0.000000V8 0.000 0.000 0.447 0.894 0.000000
U6 0.15006V6 -0.51007U8 0.00000V8 0.00000
SX6 EA 1 -1 U6 V8 0SX8 Ll -1 1 U8
SX6 SX8SX6 1 -1 0.15006SX8 -1 1 0.00000
6 8SX6 0.1501SX8 -0.1501
SX6 10062.324 KgSX8 -10062.324 Kg
←
l
= 67055.206
=
= x
=
=
( - )
= 67055.206 →
TUGAS METODE ELEMEN HINGGA
Kelompok 2
Batang m
U7 C S 0 0 U7V7 -S C 0 0 V7U8 0 0 C S U8V8 0 0 -S C V8
U7 1.000 0.000 0.000 0.000 0.000000V7 0.000 1.000 0.000 0.000 -0.523326U8 0.000 0.000 1.000 0.000 0.000000V8 0.000 0.000 0.000 1.000 0.000000
U7 0.00000V7 -0.52333U8 0.00000V8 0.00000
SX7 EA 1 -1 U7 V8 0SX8 Lm -1 1 U8
SX7 SX8SX7 1 -1 0.00000SX8 -1 1 0.00000
7 8SX7 0.0000SX8 0.0000
SX7 0.000 KgSX8 0.000 Kg
Tabel : Rekapitulasi Gaya pada Masing-masing Batang
Batang a -10062.3239 Tekan
Batang b 0.0000 -
m
= 74970.000
=
NAMA BATANG GAYA BATANG KETERANGAN
= x
=
=
= 74970.000
= x
TUGAS METODE ELEMEN HINGGA
Batang m 0.0000 -
Batang k 0.0000 -
Batang l -10062.3239 Tekan
Batang i -3354.1080 Tekan
Batang j 0.0000 -
Batang g 3000.0000 Tarik
Batang h -6708.2159 Tekan
Batang e -3354.1080 Tekan
Batang f 0.0000 -
Batang c 0.0000 -
Batang d -6708.2159 Tekan
Batang a -10062.3239 Tekan
Batang b 0.0000 -
TUGAS METODE ELEMEN HINGGA
Kelompok 2
Joint OutputCase CaseType U VText Text Text cm cm
1 DEAD LinStatic 0.000 0.0002 DEAD LinStatic 0.093 -0.5243 DEAD LinStatic 0.001 -0.5234 DEAD LinStatic 0.000 -0.5615 DEAD LinStatic 0.000 -0.6006 DEAD LinStatic -0.093 -0.5247 DEAD LinStatic -0.001 -0.5238 DEAD LinStatic 0.000 0.000
Frame Station OutputCase CaseType P V MText cm Text Text Kgf Kgf Kgf-cm
A 0 DEAD LinStatic -9818.720 -46.850 -13093.610A 279.508 DEAD LinStatic -9818.720 -46.850 0.000A 559.017 DEAD LinStatic -9818.720 -46.850 13093.610B 0 DEAD LinStatic 45.860 67.040 16758.750B 250 DEAD LinStatic 45.860 67.040 0.000B 500 DEAD LinStatic 45.860 67.040 -16758.750C 0 DEAD LinStatic -57.210 91.730 11466.240C 125 DEAD LinStatic -57.210 91.730 0.000C 250 DEAD LinStatic -57.210 91.730 -11466.240D 0 DEAD LinStatic -6500.360 0.730 203.330D 279.508 DEAD LinStatic -6500.360 0.730 0.000D 559.017 DEAD LinStatic -6500.360 0.730 -203.330E 0 DEAD LinStatic -3186.970 -10.090 -2820.550E 279.508 DEAD LinStatic -3186.970 -10.090 0.000E 559.017 DEAD LinStatic -3186.970 -10.090 2820.550F 0 DEAD LinStatic -45.860 9.830 2457.270F 250 DEAD LinStatic -45.860 9.830 0.000F 500 DEAD LinStatic -45.860 9.830 -2457.270G 0 DEAD LinStatic 2812.800 0.000 0.000G 250 DEAD LinStatic 2812.800 0.000 0.000G 500 DEAD LinStatic 2812.800 0.000 0.000H 0 DEAD LinStatic -6500.360 -0.730 -203.330H 279.508 DEAD LinStatic -6500.360 -0.730 0.000H 559.017 DEAD LinStatic -6500.360 -0.730 203.330I 0 DEAD LinStatic -3186.970 10.090 2820.550I 279.508 DEAD LinStatic -3186.970 10.090 0.000I 559.017 DEAD LinStatic -3186.970 10.090 -2820.550J 0 DEAD LinStatic -45.860 -9.830 -2457.270J 250 DEAD LinStatic -45.860 -9.830 0.000J 500 DEAD LinStatic -45.860 -9.830 2457.270K 0 DEAD LinStatic -57.210 -91.730 -11466.240K 125 DEAD LinStatic -57.210 -91.730 0.000K 250 DEAD LinStatic -57.210 -91.730 11466.240L 0 DEAD LinStatic -9818.720 46.850 13093.610L 279.508 DEAD LinStatic -9818.720 46.850 0.000L 559.017 DEAD LinStatic -9818.720 46.850 -13093.610M 0 DEAD LinStatic 45.860 -67.040 -16758.750M 250 DEAD LinStatic 45.860 -67.040 0.000M 500 DEAD LinStatic 45.860 -67.040 16758.750
TABLE: Element Forces - Frames
TABLE: Joint Displacements
Perhitungan Versi SAP2000 TUGAS METODE ELEMEN HINGGA
Top Related