No. 1 Struktur TrussKet:A =18.0000mEd =1800t/mEv =2700t/mL =4.8mEh =2700t/mH =4.2mH =3.5mP =-5tP =-3.5t

ALEALE18.00004.2270018.00003.52700ALEALE18.00006.3781180018.00005.94051800ALEALE18.00004.2270018.00005.94051800ALEALE18.00004.8270018.00004.82700ALE18.00003.52700=Rol=Elemen

=Sendi=NodalNotasi matriks kekakuan elemen

fiAE/L0- AE/L0gi=0000fj- AE/L0AE/L0gj0000DIKETAHUI:Elemen 1 dari nodal 1 ke 3Elemen 2 dari nodal 1 ke 4Elemen 3 dari nodal 2 ke 4Elemen 4 dari nodal 3 ke 4Elemen 5 dari nodal 3 ke 5Elemen 6 dari nodal 4 ke 6Elemen 7 dari nodal 3 ke 6Elemen 8 dari nodal 5 ke 4Elemen 9 dari nodal 5 ke 6ALEALEALEALEALEALEALEALEALE18.00004.2270018.00006.3781180018.00004270018.00004.8270018.00004270018.00004270018.00005.9405180018.00005.9405180018.00004.80002700

1. Langkah Pertama1. Langkah Pertama1. Langkah Pertama1. Langkah Pertama1. Langkah Pertama1. Langkah Pertama1. Langkah Pertama1. Langkah Pertama1. Langkah PertamaMatriks kekakuan lokal elemen 1Matriks kekakuan lokal elemen 2Matriks kekakuan lokal elemen 3Matriks kekakuan lokal elemen 4Matriks kekakuan lokal elemen 5Matriks kekakuan lokal elemen 6Matriks kekakuan lokal elemen 7Matriks kekakuan lokal elemen 8Matriks kekakuan lokal elemen 9

11571.42857142860-11571.428571428605079.89270-5079.8927011571.42860-11571.4286010125.00000-10125.0000013885.71430-13885.7143013885.71430-13885.714305454.05080-5454.050805454.05080-5454.0508010125.00000-10125.00000[Kel] =0000[Kel] =0000[Kel] =0000[Kel] =0000[Kel] =0000[Kel] =0000[Kel] =0000[Kel] =0000[Kel] =0000-11571.4285714286011571.42857142860-5079.892705079.89270-11571.4286011571.42860-10125.0000010125.00000-13885.7143013885.71430-13885.7143013885.71430-5454.050805454.05080-5454.050805454.05080-10125.0000010125.00000000000000000000000000000000000000000

sudut elemen 1, = 90sudut elemen 2, = 41.6335sudut elemen 3, = 90sudut elemen 4, = 0sudut elemen 5, = 90sudut elemen 6, = 90sudut elemen 7, = 41.6335sudut elemen 8, = 318.3665sudut elemen 9, = 0

2. Langkah Kedua2. Langkah Kedua2. Langkah Kedua2. Langkah Kedua2. Langkah Kedua2. Langkah Kedua2. Langkah Kedua2. Langkah Kedua2. Langkah KeduaTransformasi koordinat elemen 1Transformasi koordinat elemen 2Transformasi koordinat elemen 3Transformasi koordinat elemen 4Transformasi koordinat elemen 5Transformasi koordinat elemen 6Transformasi koordinat elemen 7Transformasi koordinat elemen 8Transformasi koordinat elemen 9

cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00[T] =-sin cos 00[T] =-sin cos 00[T] =-sin cos 00[T] =-sin cos 00[T] =-sin cos 00[T] =-sin cos 00[T] =-sin cos 00[T] =-sin cos 00[T] =-sin cos 0000cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00cos sin 00-sin cos 00-sin cos 00-sin cos 00-sin cos 00-sin cos 00-sin cos 00-sin cos 00-sin cos 00-sin cos

0.00001.0000000.74740.6644000.00001.0000001.00000.0000000.00001.0000000.00001.0000000.74740.6644000.7474-0.6644001.00000.000000[T] =-1.00000.000000[T] =-0.66440.747400[T] =-1.00000.000000[T] =0.00001.000000[T] =-1.00000.000000[T] =-1.00000.000000[T] =-0.66440.747400[T] =0.66440.747400[T] =0.00001.000000000.00001.0000000.74740.6644000.00001.0000001.00000.0000000.00001.0000000.00001.0000000.74740.6644000.7474-0.6644001.00000.000000-1.00000.000000-0.66440.747400-1.00000.0000000.00001.000000-1.00000.000000-1.00000.000000-0.66440.7474000.66440.7474000.00001.0000

3. Langkah Ketiga3. Langkah Ketiga3. Langkah Ketiga3. Langkah Ketiga3. Langkah Ketiga3. Langkah Ketiga3. Langkah Ketiga3. Langkah Ketiga3. Langkah KetigaMatriks transpose Transformasi koordinat elemen 1Matriks transpose Transformasi koordinat elemen 2Matriks transpose Transformasi koordinat elemen 3Matriks transpose Transformasi koordinat elemen 4Matriks transpose Transformasi koordinat elemen 5Matriks transpose Transformasi koordinat elemen 6Matriks transpose Transformasi koordinat elemen 7Matriks transpose Transformasi koordinat elemen 8Matriks transpose Transformasi koordinat elemen 90.0000-1.0000000.7474-0.6644000.0000-1.0000001.00000.0000000.0000-1.0000000.0000-1.0000000.7474-0.6644000.74740.6644001.00000.000000[T] =1.00000.000000[T] =0.66440.747400[T] =1.00000.000000[T] =0.00001.000000[T] =1.00000.000000[T] =1.00000.000000[T] =0.66440.747400[T] =-0.66440.747400[T] =0.00001.000000000.0000-1.0000000.7474-0.6644000.0000-1.0000001.00000.0000000.0000-1.0000000.0000-1.0000000.7474-0.6644000.74740.6644001.00000.0000001.00000.0000000.66440.7474001.00000.0000000.00001.0000001.00000.0000001.00000.0000000.66440.747400-0.66440.7474000.00001.0000

4. Langkah Ke Empat4. Langkah Ke Empat4. Langkah Ke Empat4. Langkah Ke Empat4. Langkah Ke Empat4. Langkah Ke Empat4. Langkah Ke Empat4. Langkah Ke Empat4. Langkah Ke EmpatMenghitung matriks kekakuan global struktur elemen 1Menghitung matriks kekakuan global struktur elemen 2Menghitung matriks kekakuan global struktur elemen 2Menghitung matriks kekakuan global struktur elemen 4Menghitung matriks kekakuan global struktur elemen 5Menghitung matriks kekakuan global struktur elemen 6Menghitung matriks kekakuan global struktur elemen 7Menghitung matriks kekakuan global struktur elemen 8Menghitung matriks kekakuan global struktur elemen 9

[Kg] = [T].[Kel].[T][Kg] = [T].[Kel].[T][Kg] = [T].[Kel].[T][Kg] = [T].[Kel].[T][Kg] = [T].[Kel].[T][Kg] = [T].[Kel].[T][Kg] = [T].[Kel].[T][Kg] = [T].[Kel].[T][Kg] = [T].[Kel].[T]

0.00000.0000-0.00000.00003796.76150.0000-3796.76150.00000.00000.0000-0.00000.000010125.00000.0000-10125.00000.00000.00000.0000-0.00000.00000.00000.0000-0.00000.00004076.41090.0000-4076.41090.00004076.41090.0000-4076.41090.000010125.00000.0000-10125.00000.0000[Kg] =11571.42860.0000-11571.42860.0000[Kg] =3374.89440.0000-3374.89440.0000[Kg] =11571.42860.0000-11571.42860.0000[Kg] =0.00000.00000.00000.0000[Kg] =13885.71430.0000-13885.71430.0000[Kg] =13885.71430.0000-13885.71430.0000[Kg] =3623.47130.0000-3623.47130.0000[Kg] =-3623.47130.00003623.47130.0000[Kg] =0.00000.00000.00000.0000-0.00000.00000.00000.0000-3796.76150.00003796.76150.0000-0.00000.00000.00000.0000-10125.00000.000010125.00000.0000-0.00000.00000.00000.0000-0.00000.00000.00000.0000-4076.41090.00004076.41090.0000-4076.41090.00004076.41090.0000-10125.00000.000010125.00000.0000-11571.42860.000011571.42860.0000-3374.89440.00003374.89440.0000-11571.42860.000011571.42860.00000.00000.00000.00000.0000-13885.71430.000013885.71430.0000-13885.71430.000013885.71430.0000-3623.47130.00003623.47130.00003623.47130.0000-3623.47130.00000.00000.00000.00000.0000

U1V1U3V3U1V1U4V4U2V2U4V4U3V3U4V4U3V3U5V5U4V4U6V6U3V3U6V6U5V5U4V4U5V5U6V60.00000.0000-0.0000-0.0000U12837.73662522.4291-2837.7366-2522.4291U10.00000.0000-0.0000-0.0000U210125.00000.0000-10125.00000.0000U30.00000.0000-0.0000-0.0000U30.00000.0000-0.0000-0.0000U43046.74942708.2179-3046.7494-2708.2179U33046.7494-2708.2179-3046.74942708.2179U510125.00000.0000-10125.00000.0000U5[Kg] =0.000011571.4286-0.0000-11571.4286V1[Kg] =2522.42912242.1561-2522.4291-2242.1561V1[Kg] =0.000011571.4286-0.0000-11571.4286V2[Kg] =0.00000.00000.00000.0000V3[Kg] =0.000013885.7143-0.0000-13885.7143V3[Kg] =0.000013885.7143-0.0000-13885.7143V4[Kg] =2708.21792407.3015-2708.2179-2407.3015V3[Kg] =-2708.21792407.30152708.2179-2407.3015V5[Kg] =0.00000.00000.00000.0000V5-0.0000-0.00000.00000.0000U3-2837.7366-2522.42912837.73662522.4291U4-0.0000-0.00000.00000.0000U4-10125.00000.000010125.00000.0000U4-0.0000-0.00000.00000.0000U5-0.0000-0.00000.00000.0000U6-3046.7494-2708.21793046.74942708.2179U6-3046.74942708.21793046.7494-2708.2179U4-10125.00000.000010125.00000.0000U6-0.0000-11571.42860.000011571.4286V3-2522.4291-2242.15612522.42912242.1561V4-0.0000-11571.42860.000011571.4286V40.00000.00000.00000.0000V4-0.0000-13885.71430.000013885.7143V5-0.0000-13885.71430.000013885.7143V6-2708.2179-2407.30152708.21792407.3015V62708.2179-2407.3015-2708.21792407.3015V40.00000.00000.00000.0000V6

OVERALL STIFFNESS MATRIXUnknown displacement and reactionU1V1U2V2U3V3U4V4U5V5U6V6U3V3U4V4U5V5U6V6F=2837.73662522.42910.00000.0000-0.0000-0.0000-2837.7366-2522.42910.00000.00000.00000.0000U1F =-5=13171.74942708.2179-10125.00000.0000-0.0000-0.0000-3046.7494-2708.217913171.74942708.2179U3G2522.429113813.58460.00000.0000-0.0000-11571.4286-2522.4291-2242.15610.00000.00000.00000.0000V1G =02708.217927864.44430.00000.0000-0.0000-13885.7143-2708.2179-2407.30152708.217927864.4443V3F0.00000.00000.00000.00000.00000.0000-0.0000-0.00000.00000.00000.00000.0000U2F =0-10125.00000.000016009.4860-185.7888-3046.74942708.2179-0.0000-0.0000-10125.00000.0000U4G0.00000.00000.000011571.42860.00000.0000-0.0000-11571.42860.00000.00000.00000.0000V2G =00.00000.0000-185.788830106.60042708.2179-2407.3015-0.0000-13885.71430.00000.0000V4F-0.0000-0.00000.00000.000013171.74942708.2179-10125.00000.0000-0.0000-0.0000-3046.7494-2708.2179U3F =0-0.0000-0.0000-3046.74942708.217913171.7494-2708.2179-10125.00000.0000-0.0000-0.0000U5G-0.0000-11571.42860.00000.00002708.217927864.44430.00000.0000-0.0000-13885.7143-2708.2179-2407.3015V3G =0-0.0000-13885.71432708.2179-2407.3015-2708.217916293.01580.00000.0000-0.0000-13885.7143V5F-2837.7366-2522.4291-0.0000-0.0000-10125.00000.000016009.4860-185.7888-3046.74942708.2179-0.0000-0.0000U4F =0-3046.7494-2708.2179-0.0000-0.0000-10125.00000.000013171.74942708.2179-3046.7494-2708.2179U6G-2522.4291-2242.1561-0.0000-11571.42860.00000.0000-185.788830106.60042708.2179-2407.3015-0.0000-13885.7143V4G =-3.5-2708.2179-2407.3015-0.0000-13885.71430.00000.00002708.217916293.0158-2708.2179-2407.3015V6F0.00000.00000.00000.0000-0.0000-0.0000-3046.74942708.217913171.7494-2708.2179-10125.00000.0000U513171.74942708.2179-10125.00000.0000-0.0000-0.0000-3046.7494-2708.217913171.74942708.2179G0.00000.00000.00000.0000-0.0000-13885.71432708.2179-2407.3015-2708.217916293.01580.00000.0000V52708.217927864.44430.00000.0000-0.0000-13885.7143-2708.2179-2407.30152708.217927864.4443F0.00000.00000.00000.0000-3046.7494-2708.2179-0.0000-0.0000-10125.00000.000013171.74942708.2179U6G0.00000.00000.00000.0000-2708.2179-2407.3015-0.0000-13885.71430.00000.00002708.217916293.0158V6Invers MatriksU3=0.00020.0000-0.0001ERROR:#NUM!0.00010.00012621997825902.3700-0.0004*-5V30.00000.0000-222522883638.78100.0000-0.0001-0.0000-0.00040.00000U4-0.0001-222522883638.78100.00010.0000-977342317819.82800.00040.00000.00000V4ERROR:#NUM!0.00000.00000.00000.00040.00000.0000ERROR:#NUM!0U50.0001-0.0001-2621997825902.36000.00040.00020.0000-0.0001ERROR:#NUM!0V50.00010.00000.00040.00000.00000.0001-239957934541.3000-0.00000U61954684635639.6600-0.00040.00000.0000-0.0001-239957934541.30000.0001-0.00010V6-0.00040.00000.0000ERROR:#NUM!ERROR:#NUM!-0.0000-0.00010.0001-3.5DisplacementU3=ERROR:#NUM!V30.0000U40.0005V4ERROR:#NUM!U5ERROR:#NUM!V5-0.0003U6-9773423178198.2800V6ERROR:#NUM!

Sheet2

Sheet3