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Pertemuan #10 Analisis Struktur Portal 2D

Pertemuan #10 Analisis Struktur Portal 2D. Matakuliah : S0494/Pemrograman dan Rekayasa Struktur Tahun : 2005 Versi : 0. Learning Outcomes. Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Menghitung matriks kekakuan transformasi elemen portal dan membuat formulasi vektor beban

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Pertemuan #10 Analisis Struktur Portal 2D

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  1. Pertemuan #10Analisis Struktur Portal 2D Matakuliah : S0494/Pemrograman dan Rekayasa Struktur Tahun : 2005 Versi : 0

  2. Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : • Menghitung matriks kekakuan transformasi elemen portal dan membuat formulasi vektor beban • Menghitung matriks kekakuan transformasi elemen portal

  3. Outline Materi • Matriks kekakuan portal, • Matriks transformasi portal 2D • Matriks kekakuan transformasi • FEF/FEM portal 2D

  4. N N Vi Vj Pi Pj Mi Mj 1 3 I J 4 2 6 I J 5 Derajat Kebebasan FRAME Gaya Pada Titik Kumpul Penomoran Derajat Kebebasan

  5. 3 2 1 6 5 4 j i Matriks Kekakuan Batang

  6. Transformasi Koordinat uJ2 Y uJ1 uJ3 J ui2 L  ui3 X I ui1

  7. Matriks Transformasi FRAME2D dimana : c = cos θ s = sin θ

  8. Matriks Kekakuan Batang Transformasi

  9. FEF/FEM Batang

  10. 10 ft 10000 lb 5000 lb-in 2 3 2 10 ft 1 3 5 ft y 4 1 x Contoh Soal

  11. Contoh Soal (Lanjutan) DATA PENAMPANG : E = 30 x 10-6 psi A = 10 in2 I = 200 in4 untuk batang 1 & 3 I = 100 in4 untuk batang 2. • HITUNG : • Matrik Kekakuan Batang (Generik) • Matrik Rotasi Batang • Matriks Kekakuan Batang Transformasi

  12. CONTOH : Perhitungan D.O.F

  13. Penomoran D.O.F Setelah Ditata Ulang 1 8 3 2 6 5 4 9 1 2 4 5 9 7 8 6 3 7 Penomoran DOF Awal 12 10 11 10 12 11 2 3 1 CONTOH : Penomoran Ulang D.O.F

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