Judul: Engineering Design of Concentrated Conduction Waste at Situgede Inlet Bogor City
Abstrak: Limbah buangan hasil aktivitas manusia dibuang secara sembarangan terutama pada saluran dan saluran inlet sehingga menyebabkan terhambatnya aliran dan berpotensi terjadi limpasan air. Penelitian ini bertujuan untuk mengetahui kondisi saluran inlet dan memperoleh debit maksimum tiap saluran inlet guna dijadikan dasar dalam membuat rancangan pengaliran sampah yang terkonsentrasi sehingga sampah mudah diangkut dan dibuang ke tempat yang semestinya. Penelitian ini menggunakan metode kuantitatif yang didasarkan pada pengukuran karakteristik hidrolika dan debit aliran pada periode tertentu pada saluran inlet Situgede. Situgede memiliki lima buah saluran inlet. Penelitian ini mengambil 2 sampel saluran inlet. Kondisi inlet terdapat berbagai lumut dan belukar pada dinding saluran dan memiliki tumpukan sampah yang memenuhi badan saluran inlet. Debit maksmimum pada saluran inlet 1 sebesar 0,25 m3/det dan pada saluran inlet 2 yaitu 0,41 m3/det. Screen pada saluran inlet dirancang dengan kemiringan tertentu terhadap lebar saluran guna memaksimalkan gaya eksitasi. Saluran inlet 1 dirancang memiliki lebar 1,45 m dan memiliki 13 kisi dan saluran inlet 2 memiliki lebar 1,94 m dan memiliki 21 kisi. Jumlah biaya total yang diperlukan guna menyelesaikan satu pekerjaan pada rancangan di saluran inlet 1 dan 2 berturut turut adalah Rp483.911,00 dan Rp701.116,00., Waste from human activities is disposed of carelessly, especially in channel inlets, causing flow obstruction and the potential for water runoff. This study aims to determine the condition of the channel inlet and obtain the maximum discharge for each inlet to be used as a basis for designing a concentrated waste stream so that waste is easily transported and disposed of in its proper place. This study uses a quantitative method based on measuring hydraulic characteristics and flow rate at a certain period at the inlet of the Situgede area channel. The Situgede area has five channel inlets. This study took two samples of the inlets. The inlet condition is a variety of moss and shrubs on the inlets wall and a pile of waste that fills the body. The maximum discharge at the first inlet is 0.25 m3/s and at the second inlet is 0.41 m3/s. The screen inlets are designed with a particular slope to the channel width to maximize the excitation force. The first inlet is designed to be 1.45 m width and has 13 bar, and the second inlet is 1.94 m width and has 21 bar. The total cost required on the design, respectively, is Rp.483.911.00 and Rp.701.116.00.
Keyword: discharge, grid, inlet, screen, water flow

Judul: DESIGN OF ECO-DRAINAGE IN CONTROLLING DESTRUCTIVE POWER OF RUNOFF, ENVIRONMENTAL POLLUTION, AND INCREASING STORAGE CAPACITY
Abstrak: Sebagian besar permukiman di Indonesia saat ini masih menggunakan sistem drainase konvensional yang mengalirkan air limpasan secepatnya menuju badan air terdekat. Seharusnya air limpasan dapat ditampung dan dimanfaatkan kembali oleh masyarakat sekitar dengan menerapkan sistem eco-drainage. Penelitian ini bertujuan merancang eco-drainage dalam mengendalikan daya rusak air, pencemaran lingkungan, dan peningkatan kapasitas simpan air. Hasil perhitungan debit limpasan dengan metode rasional pada Komplek Anggrek 2 sebesar 1,53 m3/detik. Nilai tersebut melebihi kapasitas saluran terbangun yaitu hanya sebesar 1,04 m3/detik, sehingga diperlukan penambahan saluran baru pada ruas 38-43, 43-40, dan 44-40 yang berfungsi sekaligus untuk mengalirkan air menuju embung. Upaya peningkatan kapasitas simpan air dalam rancangan eco-drainage di lokasi kajian yaitu berupa rancangan embung kecil dengan dimensi panjang 50 m, lebar 15 m, dan kedalaman maksimum 2,5 m sehingga memiliki kapasitas maksimum 1490 m3. Hasil pengujian kualitas air drainase terdapat parameter TSS dan COD yang masih melebihi baku mutu kelas air tiga, sehingga diperlukan unit pengolahan sederhana berupa biofilter dengan media bioball. Total biaya yang diperlukan dalam tindakan konstruksi rancangan eco-drainage yaitu sebesar Rp 722.061.000., Most settlements in Indonesia today still use conventional drainage systems that flow sewage as quickly as possible to the nearest river. The sewage should be able to be stored and reused by the surrounding communities by implementing eco-drainage systems. The research aims to design eco-drainage to control destructive power of runoff, environmental pollution, and increased water storage capacity. The result of the calculation of the discharge by the rational method on Anggrek Complex 2 is 1.53 m3/second. The value exceeds the capacity of the existing channel, which is only 1.04 m3/s, so it is necessary to add new channels on roads 38-43, 43-40, and 44-40 that serve simultaneously to flow water to the pond. The attempt to increase the water storage capacity in the eco-drainage project at the study site is a small pond project with a length of 50 m, a width of 15 m, and a maximum depth of 2.5 m to have a maximum capacity of 1490 m3. The drainage water quality test results have TSS and COD parameters that still exceed the water grade three quality standards, so it requires a simple processing unit of a biofilter with a bioball medium. The total cost required for the construction of the eco-drainage project is Rs 722.061.000.
Keyword: eco-drainage, reservoir, runoff

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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