metoda elemen hingga
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METODA ELEMEN HINGGA
TMS-413
Nama : MUHAMMAD ALIF
No Bp : 07 171 060
Tanggal : 1 DESEMBER 2009
LABORATORIUM DINAMIKA STRUKTUR
UNIVERSITAS ANDALAS
PADANG
2011
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Tentukanlah reaksi tumpuan dan lendutan pada gambar dibawah ini ?
Solusi :
Elemen A E L α cos α sin α Cos2 α Sin2 α
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( ) ( )1 500 210 1 0 1 0 02 500 2103 500 210
4 500 210
5 500 2106 500 2107 500 2108 500 2109 500 21010 500 210
11 500 21012 500 21013 500 210
Penyelesaian
Elemen 1
Elemen 2
Elemen 3
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Elemen 4
Elemen 5
Elemen 6
Elemen 7
Setelah dilakukan perhitungan diperoleh :
Nilai matrik kekakuan tiap Elemen :Dari elemen 1-7
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Dari elemen 7-13 :
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Matrik Global
Kondisi batas
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Matrik Partisi
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Matrik Partisi
Dengan menggunakan eliminasi Gauss Jordan didapatkan besar perpindahan sbb:
Berdasarkan perpindahan tersebut dapat diketahui besar gaya-gaya yang bekerja pada masing-masing nodal.
Matrik Partisi
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Pembanding
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Reaksi tumpuan