Penerapan Integral Lipat Dua untuk Menghitung Volume Tiang Beton Berbentuk Tabung sebagai Dasar Estimasi Kebutuhan Material pada Struktur Pondasi Gedung
DOI:
https://doi.org/10.62383/pentagon.v3i4.888Keywords:
Building Foundation, Concrete Pile, Cylindrical Volume, Double Integral, Material EstimationAbstract
This study examines the application of double integrals in calculating the volume of cylindrical concrete piles as a basis for estimating material requirements in building foundation structures. The volume calculation was carried out using a double-integral approach in polar coordinates for three pile segments with lengths of 4 m, 3.9 m, and 4 m, each having a diameter of 60 cm. The results were then validated using the standard geometric formula to ensure consistency and mathematical reliability. The obtained concrete volume was subsequently used to estimate material needs based on a 1:1.5:3 mix proportion consisting of cement, sand, and gravel. The findings indicate that double integrals can be effectively applied to generate accurate estimations of both volume and material requirements, supporting logistical planning in construction. This approach also highlights the strong connection between mathematical concepts—particularly multivariable calculus—and practical applications in civil engineering. Furthermore, the study emphasizes that double integrals may serve as a relevant alternative when structural modeling requires deeper analytical exploration or validation beyond conventional geometry. Therefore, the implementation of double integrals not only reinforces theoretical understanding but also enhances precision in evaluating structural components within building foundation planning.
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Abdurokhman, B., & Susanto, A. (2024). Analisis kestabilan struktur pondasi dalam pada tanah lunak. Jurnal Teknik Sipil dan Perencanaan, 12(1), 45–60.
Abdurokhman, N., & Susanto, N. (2024). Perencanaan struktur pondasi gedung Rumah Sakit Mitra Plumbon Kanci Jawa Barat. Jurnal Rekayasa Teknik Sipil STTC, 2(2), 85–92.
Adhar, L., Komarudin, & Nanda, M. P. (2023). Perubahan desain bangunan gedung empat lantai menggunakan konstruksi beton. Jurnal Statika, 9(2), 12–20.
Aplikasi matematika dalam dunia teknik sipil. (n.d.). Kupdf. (Uraian aplikasi integral pada perhitungan volume benda dalam teknik sipil).
Darmayanti, H. M., Hernawati, T., & Harahap, B. (2022). Perencanaan kebutuhan bahan baku produk kue bawang abon menggunakan metode material requirement planning. Buletin Utama Teknik, 17(3), 286–290. https://doi.org/10.30743/but.v17i3.5375
Farizwan, J., Hariyadi, H., & Hamdani, H. (2024). Studi efisiensi volume material dan estimasi biaya bangunan menggunakan BIM 5D dengan perangkat lunak Tekla Structures. Spektrum Sipil, 11(2), 109–118. https://doi.org/10.29303/spektrum.v11i2.355
Febriani, H., Pratiwi, I., & Andalia, W. (2022). Analisis perencanaan persediaan bahan baku menggunakan metode material requirement planning (Studi kasus UMKM Keripik Usus Cabe Babe). Jurnal Teknik Industri ITN Malang, 1(1), 12–20. https://doi.org/10.36040/industri.v12i1.3811
Hamirsa, M. H., & Rumita, R. (2022). Usulan perencanaan peramalan dan safety stock persediaan spare part busi Champion Type RA7YC-2 menggunakan metode time series. Industrial Engineering Online Journal, 11(1), 1–10.
Kusuma, Z. R., & Susilorini, R. (2024). Analisis perhitungan kebutuhan tulangan dan volume beton pada perencanaan struktur kolom (Studi kasus Gedung Madrasah Ibtidaiyah Miftahul Ulum). JUREKTIK, 1(2).
Pratama, D., & Sari, R. (2022). Optimasi perhitungan volume beton pada struktur pondasi. Jurnal Rekayasa Sipil, 16(2), 112–125.
Rachmawati, I. N. (2007). Pengumpulan data dalam penelitian kualitatif: Wawancara. Jurnal Keperawatan Indonesia, 11(1), 35–40. https://doi.org/10.7454/jki.v11i1.184
Rompas, P. T., & Kurniawan, A. (2021). Analisis kuat dukung tiang pancang beton pada tanah lunak. Jurnal Teknik Sipil, 12(3), 67–78.
Salema, M. A. A., & Pandey, R. K. (2015). Effect of cement–water ratio on compressive strength and density of concrete. International Journal of Engineering Research & Technology (IJERT), 4(2), 1–6.
Saragih, J., & Tamba, I. (2023). Pemanfaatan integral lipat dua pada koordinat polar untuk analisis volume benda putar. Journal of Applied Mathematics and Computation, 5(2), 112–125.
Sartika, M., Gunawan, I., & Hisyam, E. S. (2023). Analisis struktur gedung beton bertulang berdasarkan SNI 2847-2002 dan SNI 2847-2013 (Studi kasus Rumah Sakit Rona Pangkalpinang). FROPIL: Forum Profesional Teknik Sipil.
SNI 03-2847-2002. (2002). Tata cara perencanaan struktur beton untuk bangunan gedung. Badan Standardisasi Nasional.
Sondir, J. (2019). Estimasi kebutuhan material pada proyek pondasi tiang pancang. Jurnal Ilmiah Konstruksi, 17(3), 201–210.
SONDIR. (2019). Perencanaan struktur bawah pondasi tiang pancang. Jurnal SONDIR, 2(1), 1–12.
Tambunan, S., & Sinaga, H. (2021). Integral lipat dua dalam perhitungan volume struktur silinder. Jurnal Matematika dan Terapan Teknik, 8(1), 56–68.
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