KESIMPULAN DAN SARAN DETEKSI KERUSAKAN BRACING PADA PORTAL BIDANG BAJA TIPE BRACING KONSENTRIK.

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85

BAB VI

KESIMPULAN DAN SARAN

6. 1

Kesimpulan

Berdasarkan hasil analisis yang telah dilakukan dalam mendeteksi

kerusakan bracing pada portal bidang baja tipe bracing konsentrik, diperoleh

beberapa kesimpulan sebagai berikut:

1. Metode matriks fleksibilitas dengan menggunakan vektor beban penentu

lokasi kerusakan (VBPLK) dapat digunakan untuk mendeteksi kerusakan

pada suatu portal bidang baja tipe bracing konsentrik lima lantai. VBPLK

diperoleh dengan cara menghitung Singular Value Decomposition dari

perbedaan matriks fleksibilitas pada kondisi tidak rusak dan rusak.

2. Variasi jumlah sensor mempengaruhi hasil deteksi kerusakan. Dengan

lokasi kerusakan yang sama, semakin banyak jumlah sensor, hasil deteksi

semakin akurat. Hal ini ditunjukkan pada kasus kerusakan 1, 2, 3, 4 dan 5.

Pada kasus 3 dan 4 penggunaan sensor yang sedikit yaitu 2 buah dan 3

buah sensor ternyata tidak mampu mendeteksi kerusakan 3 buah bracing.

Sedangkan pada kasus 5, penggunaan sensor sebanyak 5 buah memberikan

indikasi yang lebih baik dibandingkan dengan kasus 3 dan 4 dengan lokasi

bracing rusak yang sama.

3. Variasi penempatan sensor memberikan pengaruh yang cukup signifikan

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Dengan jumlah sensor dan lokasi kerusakan yang sama, penempatan

sensor yang jauh dari lokasi kerusakan memberikan hasil deteksi yang

lebih akurat dibandingkan dengan penempatan sensor yang dekat dengan

lokasi kerusakan. Hal ini ditunjukkan pada kasus kerusakan 5, 6 dan 7.

4. Metode matriks fleksibilitas dengan menggunakan vektor beban penentu

lokasi kerusakan (VBPLK) dapat digunakan untuk mendeteksi kerusakan

ganda (balok-bracing dan kolom- bracing) pada suatu portal bidang baja

tipe bracing konsentrik lima lantai. Hal ini ditunjukkan pada kasus

kerusakan 8 dan 9.

5. Normalisasi tegangan kumulatif (SRSS) memberikan indikasi yang baik

untuk menentukan kerusakan struktur.

6. Perhitungan dengan analisis VBPLK mampu memberikan informasi yang

benar, hal ini terbukti dengan sama besarnya nilai gaya-gaya batang yang

dihitung dengan analisis VBPLK ataupun yang didapatkan dari analisis

software ETABS.

6. 2

Saran

Dari Tugas Akhir yang telah disusun ini, penulis memberikan beberapa

saran sebagai berikut:

1. Perlu dicoba metode matriks fleksibilitas dengan VBPLK dengan lebih

banyak variasi jumlah dan penempatan sensor dan juga dilakukan terhadap

tipe-tipe bracing yang lain.

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87

2. Perlu dicoba metode matriks fleksibilitas dengan VBPLK untuk beberapa

kombinasi kerusakan elemen struktur lain, seperti kerusakan

kolom-balok-bracing sekaligus pada tipe-tipe kolom-balok-bracing yang lain.

3. Perlu dilakukan studi eksperimental di laboratorium untuk dibandingkan

hasilnya dengan hasil analisis numerik.

4. Perlu dicari metode normalisasi tegangan yang lain, sehingga mampu

memberikan perbedaan yang signifikan antara batang yang rusak dan

batang lain yang tidak rusak.

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88

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Lampiran 1: Coding

Matlab Menghitung F

Kasus Kerusakan 1

91

n 1 =c o o r ( 0 , 0 ) ;

n 2 =c o o r ( 6 , 0 ) ; n 3 =c o o r ( 1 2 , 0 ) ; n 4 =c o o r ( 1 8 , 0 ) ; n 5 =c o o r ( 0 , 3 . 5 ) ; n 6 =c o o r ( 6 , 3 . 5 ) ; n 7 =c o o r ( 1 2 , 3 . 5 ) ; n 8 =c o o r ( 1 8 , 3 . 5 ) ; n 9 =c o o r ( 0 , 7 ) ; n 1 0 =c o o r ( 6 , 7 ) ; n 1 1 =c o o r ( 1 2 , 7 ) ; n 1 2 =c o o r ( 1 8 , 7 ) ; n 1 3 =c o o r ( 0 , 1 0 . 5 ) ; n 1 4 =c o o r ( 6 , 1 0 . 5 ) ; n 1 5 =c o o r ( 1 2 , 1 0 . 5 ) ; n 1 6 =c o o r ( 1 8 , 1 0 . 5 ) ; n 1 7 =c o o r ( 0 , 1 4 ) ; n 1 8 =c o o r ( 6 , 1 4 ) ; n 1 9 =c o o r ( 1 2 , 1 4 ) ; n 2 0 =c o o r ( 1 8 , 1 4 ) ; n 2 1 =c o o r ( 0 , 1 7 . 5 ) ; n 2 2 =c o o r ( 6 , 1 7 . 5 ) ; n 2 3 =c o o r ( 1 2 , 1 7 . 5 ) ; n 2 4 =c o o r ( 1 8 , 1 7 . 5 ) ;

[ L1 , T1 ] =me mf ( n 5 , n 6 ) ; [ L2 , T2 ] =me mf ( n 6 , n 7 ) ; [ L3 , T3 ] =me mf ( n 7 , n 8 ) ; [ L4 , T4 ] =me mf ( n 9 , n 1 0 ) ; [ L5 , T5 ] =me mf ( n 1 0 , n 1 1 ) ; [ L6 , T6 ] =me mf ( n 1 1 , n 1 2 ) ; [ L7 , T7 ] =me mf ( n 1 3 , n 1 4 ) ; [ L8 , T8 ] =me mf ( n 1 4 , n 1 5 ) ; [ L9 , T9 ] =me mf ( n 1 5 , n 1 6 ) ; [ L1 0 , T1 0 ] =me mf ( n 1 7 , n 1 8 ) ; [ L1 1 , T1 1 ] =me mf ( n 1 8 , n 1 9 ) ; [ L1 2 , T1 2 ] =me mf ( n 1 9 , n 2 0 ) ; [ L1 3 , T1 3 ] =me mf ( n 2 1 , n 2 2 ) ; [ L1 4 , T1 4 ] =me mf ( n 2 2 , n 2 3 ) ; [ L1 5 , T1 5 ] =me mf ( n 2 3 , n 2 4 ) ; [ L1 6 , T1 6 ] =me mf ( n 1 , n 5 ) ; [ L1 7 , T1 7 ] =me mf ( n 2 , n 6 ) ; [ L1 8 , T1 8 ] =me mf ( n 3 , n 7 ) ; [ L1 9 , T1 9 ] =me mf ( n 4 , n 8 ) ; [ L2 0 , T2 0 ] =me mf ( n 5 , n 9 ) ; [ L2 1 , T2 1 ] =me mf ( n 6 , n 1 0 ) ; [ L2 2 , T2 2 ] =me mf ( n 7 , n 1 1 ) ; [ L2 3 , T2 3 ] =me mf ( n 8 , n 1 2 ) ; [ L2 4 , T2 4 ] =me mf ( n 9 , n 1 3 ) ; [ L2 5 , T2 5 ] =me mf ( n 1 0 , n 1 4 ) ; [ L2 6 , T2 6 ] =me mf ( n 1 1 , n 1 5 ) ; [ L2 7 , T2 7 ] =me mf ( n 1 2 , n 1 6 ) ; [ L2 8 , T2 8 ] =me mf ( n 1 3 , n 1 7 ) ; [ L2 9 , T2 9 ] =me mf ( n 1 4 , n 1 8 ) ; [ L3 0 , T3 0 ] =me mf ( n 1 5 , n 1 9 ) ; [ L3 1 , T3 1 ] =me mf ( n 1 6 , n 2 0 ) ; [ L3 2 , T3 2 ] =me mf ( n 1 7 , n 2 1 ) ; [ L3 3 , T3 3 ] =me mf ( n 1 8 , n 2 2 ) ; [ L3 4 , T3 4 ] =me mf ( n 1 9 , n 2 3 ) ; [ L3 5 , T3 5 ] =me mf ( n 2 0 , n 2 4 ) ; [ L3 6 , T3 6 ] =me mf ( n 2 , n 7 ) ; [ L3 7 , T3 7 ] =me mf ( n 3 , n 6 ) ; [ L3 8 , T3 8 ] =me mf ( n 6 , n 1 1 ) ; [ L3 9 , T3 9 ] =me mf ( n 7 , n 1 0 ) ; [ L4 0 , T4 0 ] =me mf ( n 1 0 , n 1 5 ) ; [ L4 1 , T4 1 ] =me mf ( n 1 1 , n 1 4 ) ; [ L4 2 , T4 2 ] =me mf ( n 1 4 , n 1 9 ) ; [ L4 3 , T4 3 ] =me mf ( n 1 5 , n 1 8 ) ; [ L4 4 , T4 4 ] =me mf ( n 1 8 , n 2 3 ) ; [ L4 5 , T4 5 ] =me mf ( n 1 9 , n 2 2 ) ;

E=2 e 8 ;%k N/ m2

A1 =0 . 0 1 4 4 ;%m2 %Ko l o m

A2 =0 . 0 1 2 1 ;%Ba l o k d a n b r a c i n g

I 1 =5 . 5 3 6 e - 4 ;%m4

I 2 =2 . 1 7 6 e - 4 ; r =7 8 . 5 ; %k N/ m3

v s =0 . 3 ;

f 1 =2 . 8 8 4 ;%Ko l o m

f 2 =3 . 9 7 5 ;%Ba l o k d a n b r a c i n g

k 1 =k l f s ( E, A2 , I 2 , L1 , f 2 , v s ) ; K1 =k g ( k 1 , T1 ) ;

k 2 =k l f s ( E, A2 , I 2 , L2 , f 2 , v s ) ; K2 =k g ( k 2 , T2 ) ;

k 3 =k l f s ( E, A2 , I 2 , L3 , f 2 , v s ) ; K3 =k g ( k 3 , T3 ) ;

k 4 =k l f s ( E, A2 , I 2 , L4 , f 2 , v s ) ; K4 =k g ( k 4 , T4 ) ;

k 5 =k l f s ( E, A2 , I 2 , L5 , f 2 , v s ) ; K5 =k g ( k 5 , T5 ) ;

k 6 =k l f s ( E, A2 , I 2 , L6 , f 2 , v s ) ; K6 =k g ( k 6 , T6 ) ;

k 7 =k l f s ( E, A2 , I 2 , L7 , f 2 , v s ) ; K7 =k g ( k 7 , T7 ) ;

k 8 =k l f s ( E, A2 , I 2 , L8 , f 2 , v s ) ; K8 =k g ( k 8 , T8 ) ;

k 9 =k l f s ( E, A2 , I 2 , L9 , f 2 , v s ) ; K9 =k g ( k 9 , T9 ) ;

k 1 0 =k l f s ( E, A2 , I 2 , L1 0 , f 2 , v s ) ; K1 0 =k g ( k 1 0 , T1 0 ) ;

k 1 1 =k l f s ( E, A2 , I 2 , L1 1 , f 2 , v s ) ; K1 1 =k g ( k 1 1 , T1 1 ) ;

k 1 2 =k l f s ( E, A2 , I 2 , L1 2 , f 2 , v s ) ; K1 2 =k g ( k 1 2 , T1 2 ) ;

k 1 3 =k l f s ( E, A2 , I 2 , L1 3 , f 2 , v s ) ; K1 3 =k g ( k 1 3 , T1 3 ) ;

k 1 4 =k l f s ( E, A2 , I 2 , L1 4 , f 2 , v s ) ; K1 4 =k g ( k 1 4 , T1 4 ) ;

k 1 5 =k l f s ( E, A2 , I 2 , L1 5 , f 2 , v s ) ; K1 5 =k g ( k 1 5 , T1 5 ) ;

k 1 6 =k l f s ( E, A1 , I 1 , L1 6 , f 1 , v s ) ; K1 6 =k g ( k 1 6 , T1 6 ) ;

k 1 7 =k l f s ( E, A1 , I 1 , L1 7 , f 1 , v s ) ; K1 7 =k g ( k 1 7 , T1 7 ) ;

k 1 8 =k l f s ( E, A1 , I 1 , L1 8 , f 1 , v s ) ; K1 8 =k g ( k 1 8 , T1 8 ) ;

k 1 9 =k l f s ( E, A1 , I 1 , L1 9 , f 1 , v s ) ; K1 9 =k g ( k 1 9 , T1 9 ) ;

k 2 0 =k l f s ( E, A1 , I 1 , L2 0 , f 1 , v s ) ; K2 0 =k g ( k 2 0 , T2 0 ) ;

k 2 1 =k l f s ( E, A1 , I 1 , L2 1 , f 1 , v s ) ; K2 1 =k g ( k 2 1 , T2 1 ) ;

k 2 2 =k l f s ( E, A1 , I 1 , L2 2 , f 1 , v s ) ; K2 2 =k g ( k 2 2 , T2 2 ) ;

k 2 3 =k l f s ( E, A1 , I 1 , L2 3 , f 1 , v s ) ; K2 3 =k g ( k 2 3 , T2 3 ) ;

k 2 4 =k l f s ( E, A1 , I 1 , L2 4 , f 1 , v s ) ; K2 4 =k g ( k 2 4 , T2 4 ) ;

k 2 5 =k l f s ( E, A1 , I 1 , L2 5 , f 1 , v s ) ; K2 5 =k g ( k 2 5 , T2 5 ) ;

k 2 6 =k l f s ( E, A1 , I 1 , L2 6 , f 1 , v s ) ; K2 6 =k g ( k 2 6 , T2 6 ) ;

k 2 7 =k l f s ( E, A1 , I 1 , L2 7 , f 1 , v s ) ; K2 7 =k g ( k 2 7 , T2 7 ) ;

k 2 8 =k l f s ( E, A1 , I 1 , L2 8 , f 1 , v s ) ; K2 8 =k g ( k 2 8 , T2 8 ) ;

k 2 9 =k l f s ( E, A1 , I 1 , L2 9 , f 1 , v s ) ; K2 9 =k g ( k 2 9 , T2 9 ) ;

k 3 0 =k l f s ( E, A1 , I 1 , L3 0 , f 1 , v s ) ; K3 0 =k g ( k 3 0 , T3 0 ) ;

k 3 1 =k l f s ( E, A1 , I 1 , L3 1 , f 1 , v s ) ; K3 1 =k g ( k 3 1 , T3 1 ) ;

k 3 2 =k l f s ( E, A1 , I 1 , L3 2 , f 1 , v s ) ; K3 2 =k g ( k 3 2 , T3 2 ) ;

k 3 3 =k l f s ( E, A1 , I 1 , L3 3 , f 1 , v s ) ; K3 3 =k g ( k 3 3 , T3 3 ) ;

k 3 4 =k l f s ( E, A1 , I 1 , L3 4 , f 1 , v s ) ; K3 4 =k g ( k 3 4 , T3 4 ) ;

k 3 5 =k l f s ( E, A1 , I 1 , L3 5 , f 1 , v s ) ; K3 5 =k g ( k 3 5 , T3 5 ) ;

k 3 6 =k l f s ( E, A2 , I 2 , L3 6 , f 2 , v s ) ; K3 6 =k g ( k 3 6 , T3 6 ) ;

k 3 7 =k l f s ( E, A2 , I 2 , L3 7 , f 2 , v s ) ; K3 7 =k g ( k 3 7 , T3 7 ) ;

k 3 8 =k l f s ( E, A2 , I 2 , L3 8 , f 2 , v s ) ; K3 8 =k g ( k 3 8 , T3 8 ) ;

k 3 9 =k l f s ( E, A2 , I 2 , L3 9 , f 2 , v s ) ; K3 9 =k g ( k 3 9 , T3 9 ) ;

k 4 0 =k l f s ( E, A2 , I 2 , L4 0 , f 2 , v s ) ; K4 0 =k g ( k 4 0 , T4 0 ) ;

k 4 1 =k l f s ( E, A2 , I 2 , L4 1 , f 2 , v s ) ; K4 1 =k g ( k 4 1 , T4 1 ) ;

k 4 2 =k l f s ( E, A2 , I 2 , L4 2 , f 2 , v s ) ; K4 2 =k g ( k 4 2 , T4 2 ) ;

k 4 3 =k l f s ( E, A2 , I 2 , L4 3 , f 2 , v s ) ; K4 3 =k g ( k 4 3 , T4 3 ) ;

k 4 4 =k l f s ( E, A2 , I 2 , L4 4 , f 2 , v s ) ; K4 4 =k g ( k 4 4 , T4 4 ) ;

k 4 5 =k l f s ( E, A2 , I 2 , L4 5 , f 2 , v s ) ; K4 5 =k g ( k 4 5 , T4 5 ) ;

d o f =8 4 ;

i d 1 7 =[ 0 0 2 8 9 1 0 ] ; i d 1 8 =[ 0 0 3 1 1 1 2 1 3 ] ; i d 1 9 =[ 0 0 4 1 4 1 5 1 6 ] ; i d 2 0 =[ 5 6 7 1 7 1 8 1 9 ] ; i d 2 1 =[ 8 9 1 0 2 0 2 1 2 2 ] ; i d 2 2 =[ 1 1 1 2 1 3 2 3 2 4 2 5 ] ; i d 2 3 =[ 1 4 1 5 1 6 2 6 2 7 2 8 ] ; i d 2 4 =[ 1 7 1 8 1 9 2 9 3 0 3 1 ] ; i d 2 5 =[ 2 0 2 1 2 2 3 2 3 3 3 4 ] ; i d 2 6 =[ 2 3 2 4 2 5 3 5 3 6 3 7 ] ; i d 2 7 =[ 2 6 2 7 2 8 3 8 3 9 4 0 ] ; i d 2 8 =[ 2 9 3 0 3 1 4 1 4 2 4 3 ] ; i d 2 9 =[ 3 2 3 3 3 4 4 4 4 5 4 6 ] ; i d 3 0 =[ 3 5 3 6 3 7 4 7 4 8 4 9 ] ; i d 3 1 =[ 3 8 3 9 4 0 5 0 5 1 5 2 ] ; i d 3 2 =[ 4 1 4 2 4 3 5 3 5 4 5 5 ] ; i d 3 3 =[ 4 4 4 5 4 6 5 6 5 7 5 8 ] ; i d 3 4 =[ 4 7 4 8 4 9 5 9 6 0 6 1 ] ; i d 3 5 =[ 5 0 5 1 5 2 6 2 6 3 6 4 ] ; i d 3 6 =[ 0 0 6 5 1 1 1 2 6 8 ] ; i d 3 7 =[ 0 0 6 6 8 9 6 7 ] ; i d 3 8 =[ 8 9 6 9 2 3 2 4 7 2 ] ; i d 3 9 =[ 1 1 1 2 7 0 2 0 2 1 7 1 ] ; i d 4 0 =[ 2 0 2 1 7 3 3 5 3 6 7 6 ] ; i d 4 1 =[ 2 3 2 4 7 4 3 2 3 3 7 5 ] ; i d 4 2 =[ 3 2 3 3 7 7 4 7 4 8 8 0 ] ; i d 4 3 =[ 3 5 3 6 7 8 4 4 4 5 7 9 ] ; i d 4 4 =[ 4 4 4 5 8 1 5 9 6 0 8 4 ] ; i d 4 5 =[ 4 7 4 8 8 2 5 6 5 7 8 3 ] ;

Ks =a s s f ( K1 , i d 1 , d o f ) ; Ks =Ks +a s s f ( K2 , i d 2 , d o f ) ; Ks =Ks +a s s f ( K3 , i d 3 , d o f ) ; Ks =Ks +a s s f ( K4 , i d 4 , d o f ) ; Ks =Ks +a s s f ( K5 , i d 5 , d o f ) ; Ks =Ks +a s s f ( K6 , i d 6 , d o f ) ; Ks =Ks +a s s f ( K7 , i d 7 , d o f ) ; Ks =Ks +a s s f ( K8 , i d 8 , d o f ) ; Ks =Ks +a s s f ( K9 , i d 9 , d o f ) ; Ks =Ks +a s s f ( K1 0 , i d 1 0 , d o f ) ;

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Ks =Ks +a s s f ( K1 1 , i d 1 1 , d o f ) ; Ks =Ks +a s s f ( K1 2 , i d 1 2 , d o f ) ; Ks =Ks +a s s f ( K1 3 , i d 1 3 , d o f ) ; Ks =Ks +a s s f ( K1 4 , i d 1 4 , d o f ) ; Ks =Ks +a s s f ( K1 5 , i d 1 5 , d o f ) ; Ks =Ks +a s s f ( K1 6 , i d 1 6 , d o f ) ; Ks =Ks +a s s f ( K1 7 , i d 1 7 , d o f ) ; Ks =Ks +a s s f ( K1 8 , i d 1 8 , d o f ) ; Ks =Ks +a s s f ( K1 9 , i d 1 9 , d o f ) ; Ks =Ks +a s s f ( K2 0 , i d 2 0 , d o f ) ; Ks =Ks +a s s f ( K2 1 , i d 2 1 , d o f ) ; Ks =Ks +a s s f ( K2 2 , i d 2 2 , d o f ) ; Ks =Ks +a s s f ( K2 3 , i d 2 3 , d o f ) ; Ks =Ks +a s s f ( K2 4 , i d 2 4 , d o f ) ; Ks =Ks +a s s f ( K2 5 , i d 2 5 , d o f ) ; Ks =Ks +a s s f ( K2 6 , i d 2 6 , d o f ) ; Ks =Ks +a s s f ( K2 7 , i d 2 7 , d o f ) ; Ks =Ks +a s s f ( K2 8 , i d 2 8 , d o f ) ; Ks =Ks +a s s f ( K2 9 , i d 2 9 , d o f ) ; Ks =Ks +a s s f ( K3 0 , i d 3 0 , d o f ) ; Ks =Ks +a s s f ( K3 1 , i d 3 1 , d o f ) ; Ks =Ks +a s s f ( K3 2 , i d 3 2 , d o f ) ; Ks =Ks +a s s f ( K3 3 , i d 3 3 , d o f ) ; Ks =Ks +a s s f ( K3 4 , i d 3 4 , d o f ) ; Ks =Ks +a s s f ( K3 5 , i d 3 5 , d o f ) ; Ks =Ks +a s s f ( K3 6 , i d 3 6 , d o f ) ; Ks =Ks +a s s f ( K3 7 , i d 3 7 , d o f ) ; Ks =Ks +a s s f ( K3 8 , i d 3 8 , d o f ) ; Ks =Ks +a s s f ( K3 9 , i d 3 9 , d o f ) ; Ks =Ks +a s s f ( K4 0 , i d 4 0 , d o f ) ; Ks =Ks +a s s f ( K4 1 , i d 4 1 , d o f ) ; Ks =Ks +a s s f ( K4 2 , i d 4 2 , d o f ) ; Ks =Ks +a s s f ( K4 3 , i d 4 3 , d o f ) ; Ks =Ks +a s s f ( K4 4 , i d 4 4 , d o f ) ; Ks =Ks +a s s f ( K4 5 , i d 4 5 , d o f ) ;

r h o =8 . 0 0 2 ;

m1 =ml f ( r h o * A2 , L1 ) ; m2 =ml f ( r h o * A2 , L2 ) ; m3 =ml f ( r h o * A2 , L3 ) ; m4 =ml f ( r h o * A2 , L4 ) ; m5 =ml f ( r h o * A2 , L5 ) ; m6 =ml f ( r h o * A2 , L6 ) ; m7 =ml f ( r h o * A2 , L7 ) ; m8 =ml f ( r h o * A2 , L8 ) ; m9 =ml f ( r h o * A2 , L9 ) ; m1 0 =ml f ( r h o * A2 , L1 0 ) ; m1 1 =ml f ( r h o * A2 , L1 1 ) ; m1 2 =ml f ( r h o * A2 , L1 2 ) ; m1 3 =ml f ( r h o * A2 , L1 3 ) ; m1 4 =ml f ( r h o * A2 , L1 4 ) ; m1 5 =ml f ( r h o * A2 , L1 5 ) ; m1 6 =ml f ( r h o * A1 , L1 6 ) ; m1 7 =ml f ( r h o * A1 , L1 7 ) ; m1 8 =ml f ( r h o * A1 , L1 8 ) ; m1 9 =ml f ( r h o * A1 , L1 9 ) ; m2 0 =ml f ( r h o * A1 , L2 0 ) ; m2 1 =ml f ( r h o * A1 , L2 1 ) ; m2 2 =ml f ( r h o * A1 , L2 2 ) ; m2 3 =ml f ( r h o * A1 , L2 3 ) ; m2 4 =ml f ( r h o * A1 , L2 4 ) ; m2 5 =ml f ( r h o * A1 , L2 5 ) ; m2 6 =ml f ( r h o * A1 , L2 6 ) ; m2 7 =ml f ( r h o * A1 , L2 7 ) ; m2 8 =ml f ( r h o * A1 , L2 8 ) ; m2 9 =ml f ( r h o * A1 , L2 9 ) ; m3 0 =ml f ( r h o * A1 , L3 0 ) ; m3 1 =ml f ( r h o * A1 , L3 1 ) ; m3 2 =ml f ( r h o * A1 , L3 2 ) ; m3 3 =ml f ( r h o * A1 , L3 3 ) ; m3 4 =ml f ( r h o * A1 , L3 4 ) ; m3 5 =ml f ( r h o * A1 , L3 5 ) ; m3 6 =ml f ( r h o * A2 , L3 6 ) ; m3 7 =ml f ( r h o * A2 , L3 7 ) ; m3 8 =ml f ( r h o * A2 , L3 8 ) ; m3 9 =ml f ( r h o * A2 , L3 9 ) ;

m4 0 =ml f ( r h o * A2 , L4 0 ) ; m4 1 =ml f ( r h o * A2 , L4 1 ) ; m4 2 =ml f ( r h o * A2 , L4 2 ) ; m4 3 =ml f ( r h o * A2 , L4 3 ) ; m4 4 =ml f ( r h o * A2 , L4 4 ) ; m4 5 =ml f ( r h o * A2 , L4 5 ) ; M1 =k g ( m1 , T1 ) ;

M2 =k g ( m2 , T2 ) ; M3 =k g ( m3 , T3 ) ; M4 =k g ( m4 , T4 ) ; M5 =k g ( m5 , T5 ) ; M6 =k g ( m6 , T6 ) ; M7 =k g ( m7 , T7 ) ; M8 =k g ( m8 , T8 ) ; M9 =k g ( m9 , T9 ) ; M1 0 =k g ( m1 0 , T1 0 ) ; M1 1 =k g ( m1 1 , T1 1 ) ; M1 2 =k g ( m1 2 , T1 2 ) ; M1 3 =k g ( m1 3 , T1 3 ) ; M1 4 =k g ( m1 4 , T1 4 ) ; M1 5 =k g ( m1 5 , T1 5 ) ; M1 6 =k g ( m1 6 , T1 6 ) ; M1 7 =k g ( m1 7 , T1 7 ) ; M1 8 =k g ( m1 8 , T1 8 ) ; M1 9 =k g ( m1 9 , T1 9 ) ; M2 0 =k g ( m2 0 , T2 0 ) ; M2 1 =k g ( m2 1 , T2 1 ) ; M2 2 =k g ( m2 2 , T2 2 ) ; M2 3 =k g ( m2 3 , T2 3 ) ; M2 4 =k g ( m2 4 , T2 4 ) ; M2 5 =k g ( m2 5 , T2 5 ) ; M2 6 =k g ( m2 6 , T2 6 ) ; M2 7 =k g ( m2 7 , T2 7 ) ; M2 8 =k g ( m2 8 , T2 8 ) ; M2 9 =k g ( m2 9 , T2 9 ) ; M3 0 =k g ( m3 0 , T3 0 ) ; M3 1 =k g ( m3 1 , T3 1 ) ; M3 2 =k g ( m3 2 , T3 2 ) ; M3 3 =k g ( m3 3 , T3 3 ) ; M3 4 =k g ( m3 4 , T3 4 ) ; M3 5 =k g ( m3 5 , T3 5 ) ; M3 6 =k g ( m3 6 , T3 6 ) ; M3 7 =k g ( m3 7 , T3 7 ) ; M3 8 =k g ( m3 8 , T3 8 ) ; M3 9 =k g ( m3 9 , T3 9 ) ; M4 0 =k g ( m4 0 , T4 0 ) ; M4 1 =k g ( m4 1 , T4 1 ) ; M4 2 =k g ( m4 2 , T4 2 ) ; M4 3 =k g ( m4 3 , T4 3 ) ; M4 4 =k g ( m4 4 , T4 4 ) ; M4 5 =k g ( m4 5 , T4 5 ) ;

Mr =a s s f ( M1 , i d 1 , d o f ) ; Mr =Mr +a s s f ( M2 , i d 2 , d o f ) ; Mr =Mr +a s s f ( M3 , i d 3 , d o f ) ; Mr =Mr +a s s f ( M4 , i d 4 , d o f ) ; Mr =Mr +a s s f ( M5 , i d 5 , d o f ) ; Mr =Mr +a s s f ( M6 , i d 6 , d o f ) ; Mr =Mr +a s s f ( M7 , i d 7 , d o f ) ; Mr =Mr +a s s f ( M8 , i d 8 , d o f ) ; Mr =Mr +a s s f ( M9 , i d 9 , d o f ) ; Mr =Mr +a s s f ( M1 0 , i d 1 0 , d o f ) ; Mr =Mr +a s s f ( M1 1 , i d 1 1 , d o f ) ; Mr =Mr +a s s f ( M1 2 , i d 1 2 , d o f ) ; Mr =Mr +a s s f ( M1 3 , i d 1 3 , d o f ) ; Mr =Mr +a s s f ( M1 4 , i d 1 4 , d o f ) ; Mr =Mr +a s s f ( M1 5 , i d 1 5 , d o f ) ; Mr =Mr +a s s f ( M1 6 , i d 1 6 , d o f ) ; Mr =Mr +a s s f ( M1 7 , i d 1 7 , d o f ) ; Mr =Mr +a s s f ( M1 8 , i d 1 8 , d o f ) ; Mr =Mr +a s s f ( M1 9 , i d 1 9 , d o f ) ; Mr =Mr +a s s f ( M2 0 , i d 2 0 , d o f ) ; Mr =Mr +a s s f ( M2 1 , i d 2 1 , d o f ) ; Mr =Mr +a s s f ( M2 2 , i d 2 2 , d o f ) ; Mr =Mr +a s s f ( M2 3 , i d 2 3 , d o f ) ; Mr =Mr +a s s f ( M2 4 , i d 2 4 , d o f ) ;

Mr =Mr +a s s f ( M2 5 , i d 2 5 , d o f ) ; Mr =Mr +a s s f ( M2 6 , i d 2 6 , d o f ) ; Mr =Mr +a s s f ( M2 7 , i d 2 7 , d o f ) ; Mr =Mr +a s s f ( M2 8 , i d 2 8 , d o f ) ; Mr =Mr +a s s f ( M2 9 , i d 2 9 , d o f ) ; Mr =Mr +a s s f ( M3 0 , i d 3 0 , d o f ) ; Mr =Mr +a s s f ( M3 1 , i d 3 1 , d o f ) ; Mr =Mr +a s s f ( M3 2 , i d 3 2 , d o f ) ; Mr =Mr +a s s f ( M3 3 , i d 3 3 , d o f ) ; Mr =Mr +a s s f ( M3 4 , i d 3 4 , d o f ) ; Mr =Mr +a s s f ( M3 5 , i d 3 5 , d o f ) ; Mr =Mr +a s s f ( M3 6 , i d 3 6 , d o f ) ; Mr =Mr +a s s f ( M3 7 , i d 3 7 , d o f ) ; Mr =Mr +a s s f ( M3 8 , i d 3 8 , d o f ) ; Mr =Mr +a s s f ( M3 9 , i d 3 9 , d o f ) ; Mr =Mr +a s s f ( M4 0 , i d 4 0 , d o f ) ; Mr =Mr +a s s f ( M4 1 , i d 4 1 , d o f ) ; Mr =Mr +a s s f ( M4 2 , i d 4 2 , d o f ) ; Mr =Mr +a s s f ( M4 3 , i d 4 3 , d o f ) ; Mr =Mr +a s s f ( M4 4 , i d 4 4 , d o f ) ; Mr =Mr +a s s f ( M4 5 , i d 4 5 , d o f ) ;

[ e i g v , e i g v a l ] =e i g ( Mr \ Ks ) [ w, wo r d e r ] =s o r t ( s q r t ( d i a g ( e i g v a l ) ) ) ;

mo d e =e i g v ( : , wo r d e r )

i =1 : 8 4 ;

p i m=[ mo d e ( 2 0 , i ) ; mo d e ( 3 5 , i ) ] v =s q r t m( mo d e ' * Mr * mo d e ) wm=d i a g ( w( 1 : 8 4 ) ) ;

Fu 1 =( p i m* i n v ( v ) ) * i n v ( wm^ 2 ) * ( p i m* i n v ( v ) ) '

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Lampiran 2: Coding Matlab Menghitung F

Kasus Kerusakan 1

93

n 1 =c o o r ( 0 , 0 ) ;

[ L4 1 , T4 1 ] =me mf ( n 1 1 , n 1 4 ) ; [ L4 2 , T4 2 ] =me mf ( n 1 4 , n 1 9 ) ; [ L4 3 , T4 3 ] =me mf ( n 1 5 , n 1 8 ) ; [ L4 4 , T4 4 ] =me mf ( n 1 8 , n 2 3 ) ; [ L4 5 , T4 5 ] =me mf ( n 1 9 , n 2 2 ) ;

E=2 e 8 ;%k N/ m2

A1 =0 . 0 1 4 4 ;%m2 %Ko l o m

A2 =0 . 0 1 2 1 ;%Ba l o k d a n b r a c i n g

A4 0 d =A2 * 0 . 5 ;%/ / - - - - d a ma g e me mb e r - - - - / /

I 1 =5 . 5 3 6 e - 4 ;%m4

I 2 =2 . 1 7 6 e - 4 ;

I 4 0 d =I 2 * 0 . 5 ;%/ / - - - - d a ma g e me mb e r - - - - / /

r =7 8 . 5 ; %k N/ m3