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The Use of Mixed Eulerian-Lagrangian Displacement in Geometrically Nonlinear Analysis of Structural System Hariandja, Binsar
Jurnal Teknik Sipil Vol 24, No 2 (2017)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1124.35 KB) | DOI: 10.5614/jts.2017.24.2.1

Abstract

AbstractThe paper deals with the use of mixed Eulerian-Lagrangian displacement in geometrically nonlinear analysis of structural system, in which displacement and deformation are observed from a selected referential configuration, i.e., a configuration once occupied by the system along the loading process. The displacement measured from initial configuration into referential configuration is referred to as Eulerian displacement, and the displacement measured from referential configuration into current configuration is referred to as Lagrangian displacement. Geometrical nonlinearity of structure occurs when the displacement primarily consists of rigid body displacement, in which the choice in referential configuration is of great concern. The same deformation may be observed differently according to the choice in referential configuration. Analysis of continuum system is cast in finite element method and written in matrix formulation. The geometrical nonlinearity is approached by successive incremental steps in which the total loading is divided into several incremental loadings. The process is then linearized and incremental global stiffness matrix is used at every iteration step. The proposed mixed displacement is cast in a computer package program using Fortran language. The program is applied in several structural analysis, in which the conventional Lagrangian displacement may not be appropriate to model the analysis. AbstrakMakalah membahas penerapan perpindahan campuran Euler-Lagrange dalam analisis nonlinier geometri sistem struktur, dalam mana perpindahan dan deformasi diamati dari konfigurasi referensi yang dipilih, yaitu konfigurasi yang pernah dilalui oleh sistem selama proses pembebanan. Perpindahan yang diukur dari konfigurasi awal ke konfigurasi referensi dinamakan perpindahan Euler, dan perpindahan yang diukur dari konfigurasi referensi ke konfigurasi akhir dinamakan perpindahan Lagrange. Nonlinieritas geometri sistem struktur terjadi dalam kasus di mana perpindahan terutama mencakup perpindahan badan kaku, dalam mana pemilihan konfigurasi referensi menjadi suatu langkah penting. Deformasi yang sama dapat diamati berlainan seturut dengan pilihan konfigurasi referensi. Analisis sitem kontinu didekati dengan langkah inkremental berturutan dalam mana beban total dibagi atas beberapa beban inkremental. Proses kemudian dilinierisasi dan matriks kekakuan global inkremental digunakan pada setiap langkah iterasi. Perpindahan campuran yang diusulkan dituangkan dalam program paket komputer yang dituliskan dalam bahasa Fortran. Program diterapkan dalam analisis beberapa sistem struktur, dalam mana perpindahan Lagrange konvensional tidak cukup untuk memodelkan perpindahan dalam analisis.
ANALISIS DINAMIS SISTEM STRUKTUR DENGAN SKEMA MASSA KONSISTEN Hariandja, Binsar
CANTILEVER Vol 4, No 1 (2015): Cantilever
Publisher : Jurusan Teknik Sipil & Perencanaan Fakultas Teknik Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (214.501 KB)

Abstract

The paper deals with frequency analysis of irreguler framed structures. The analysis used finite element method cast in matrix formulation. Apart from frequency analysis of framed structures that assumed to be of frame with relative rigid floor system, and the mass of structure is lumped at each floor, the analysis adopted consistent mass formulation. To reduce structural degrees of freedom, static condensation and multi-point constraint algorithms where used. The natural frequency resulted out of proposed analysis was then compared to that obtained by assuming rigid floor. The difference was due to the different schemes used in the consideration of inertial mass forces.Key Words: dynamic analysis, finite element method, multi-point constraints, static condensation, natural frequency.
The Use of Mixed Eulerian-Lagrangian Displacement in Geometrically Nonlinear Analysis of Structural System Binsar Hariandja
Jurnal Teknik Sipil Vol 24 No 2 (2017)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/jts.2017.24.2.1

Abstract

AbstractThe paper deals with the use of mixed Eulerian-Lagrangian displacement in geometrically nonlinear analysis of structural system, in which displacement and deformation are observed from a selected referential configuration, i.e., a configuration once occupied by the system along the loading process. The displacement measured from initial configuration into referential configuration is referred to as Eulerian displacement, and the displacement measured from referential configuration into current configuration is referred to as Lagrangian displacement. Geometrical nonlinearity of structure occurs when the displacement primarily consists of rigid body displacement, in which the choice in referential configuration is of great concern. The same deformation may be observed differently according to the choice in referential configuration. Analysis of continuum system is cast in finite element method and written in matrix formulation. The geometrical nonlinearity is approached by successive incremental steps in which the total loading is divided into several incremental loadings. The process is then linearized and incremental global stiffness matrix is used at every iteration step. The proposed mixed displacement is cast in a computer package program using Fortran language. The program is applied in several structural analysis, in which the conventional Lagrangian displacement may not be appropriate to model the analysis. AbstrakMakalah membahas penerapan perpindahan campuran Euler-Lagrange dalam analisis nonlinier geometri sistem struktur, dalam mana perpindahan dan deformasi diamati dari konfigurasi referensi yang dipilih, yaitu konfigurasi yang pernah dilalui oleh sistem selama proses pembebanan. Perpindahan yang diukur dari konfigurasi awal ke konfigurasi referensi dinamakan perpindahan Euler, dan perpindahan yang diukur dari konfigurasi referensi ke konfigurasi akhir dinamakan perpindahan Lagrange. Nonlinieritas geometri sistem struktur terjadi dalam kasus di mana perpindahan terutama mencakup perpindahan badan kaku, dalam mana pemilihan konfigurasi referensi menjadi suatu langkah penting. Deformasi yang sama dapat diamati berlainan seturut dengan pilihan konfigurasi referensi. Analisis sitem kontinu didekati dengan langkah inkremental berturutan dalam mana beban total dibagi atas beberapa beban inkremental. Proses kemudian dilinierisasi dan matriks kekakuan global inkremental digunakan pada setiap langkah iterasi. Perpindahan campuran yang diusulkan dituangkan dalam program paket komputer yang dituliskan dalam bahasa Fortran. Program diterapkan dalam analisis beberapa sistem struktur, dalam mana perpindahan Lagrange konvensional tidak cukup untuk memodelkan perpindahan dalam analisis.
PARTIAL STRESSING METHOD EFFECTIVENESS IN POST TENSION PRESTRESSED CONCRETE SYSTEM Bali, Ika; Wicaksana, Satria; Hariandja, Binsar
JMTS: Jurnal Mitra Teknik Sipil Volume 7, Nomor 3, Agustus 2024
Publisher : Prodi Sarjana Teknik Sipil, FT, Universitas Tarumanagara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24912/jmts.v7i3.29068

Abstract

Concrete material has moderately strong in compression but relatively weak in tension. To overcome this problem, we may apply three kinds of system, i.e., reinforced concrete (R/C) system, composite concrete (C/C) system, and prestressed concrete (P/C) system. In prestressed concrete system, a compressive force is applied to annihilate the tension region in the concrete section. Unfortunately, this compression force creates upward displacement, called camber, with such magnitude that may not be overcome by downward displacements due to the gravity loads. To reduce the magnitude of the troublesome camber, the camber can be decreased by reducing the magnitude of the prestressing force, by assigning some of the total moment to be resisted by additional mild steel. This kind of system, which is called the partial stressing system, is the main concern of this study. The objective of this study is to investigate the effectiveness of partial stressing method in reducing the camber due to the fully stressing method in post tension prestressed concrete system. The research deals with the partial stressing system applied to two cases i.e., rectangular and box girder types based on the real project of bridge girders. The maximum total moment is divided into two portions, one portion is carried out by prestressing tendon, and the other portion is carried out by mild steel. The results of this study indicated that the application of the partial system effectively reduces the magnitude of the cambers due to the fully stressing system. The linear reduction of prestressing force results in linear reduction of the camber for both cases of the rectangular and the box girder types. The box girder has better performance in reducing the stresses and the camber. Since the camber has been reduced significantly by the application of the partial stressing system, hence reduces the construction cost of bridge girders considered. Abstrak Material beton memiliki kuat tekan yang cukup kuat tetapi relatif lemah terhadap gaya tarik. Untuk mengatasi masalah ini, dapat diterapkan tiga macam sistem, yaitu sistem beton bertulang (R/C), sistem beton komposit (C/C), dan sistem beton prategang (P/C). Dalam sistem beton prategang, gaya tekan diterapkan untuk menghilangkan daerah tegangan di bagian beton. Sayangnya, gaya tekan ini menciptakan perpindahan ke atas, yang disebut camber atau kelengkungan, dengan besarnya sedemikian rupa sehingga tidak dapat diatasi oleh perpindahan ke bawah karena beban gravitasi. Untuk mengurangi besarnya camber yang bermasalah, kita dapat mengurangi camber dengan mengurangi besarnya gaya prategang, dengan menetapkan sebagian momen total yang harus ditahan oleh baja tulangan tambahan. Sistem semacam ini, yang disebut sistem tegangan parsial, menjadi perhatian utama dari studi ini. Tujuan dari penelitian ini adalah untuk mengetahui efektivitas metode tegangan parsial dalam mereduksi camber akibat metode tegangan penuh pada sistem beton prategang pasca tarik. Penelitian ini membahas tentang sistem tegangan parsial yang diterapkan pada dua kasus yaitu tipe gelagar persegi panjang dan gelagar kotak berdasarkan proyek nyata dari gelagar jembatan. Momen total maksimum dibagi menjadi dua bagian, satu bagian dilakukan oleh tendon prategang, dan bagian lainnya dilakukan oleh baja ringan. Hasil penelitian ini menunjukkan bahwa penerapan sistem parsial efektif mengurangi besarnya kelengkungan akibat sistem tegangan penuh. Pengurangan linier dari gaya prategang menghasilkan reduksi linier dari camber untuk kedua kasus tipe persegi panjang dan gelagar kotak. Gelagar kotak memiliki kinerja yang lebih baik dalam mengurangi tegangan dan camber. Karena camber telah berkurang secara signifikan dengan penerapan sistem tegangan parsial, konsekuensinya dapat mengurangi biaya konstruksi gelagar jembatan tersebut.
Effects of Modeling on the Behavior of Prestressed Concrete System Adjie, Akbar Putro; Hariandja, Binsar; Bali, Ika
PRESUNIVE CIVIL ENGINEERING JOURNAL Vol 2, No 1 (2024)
Publisher : President University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33021/pcej.v2i1.5258

Abstract

This study deals with the modeling of prestressed concrete components and its effects on the behavior of the structure. Two cases are presented, i.e., simple vs continuous beams, and crossing of prestressed and reinforced concrete beams. Based on the findings in this study, the modeling has significant effects in prestressed concrete behavior. The effects might create serious problems on structural safety if not addressed properly in the analysis and design of prestressed concrete systems. As much as possible, it is best to design prestressed components as free-standing statically determinate systems, thereby avoiding the possibility of additional secondary stresses that may reduce the capacity of the designed member. To achieve the above goals, it is best to use a precast concrete system to build a prestressed concrete system.
Construction Cost Reduction in Design of Prestressed Concrete Structural System Surbakti, Michelia Esteruli Instia; Hariandja, Binsar; Bali, Ika
PRESUNIVE CIVIL ENGINEERING JOURNAL Vol 2, No 2 (2024)
Publisher : President University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33021/pcej.v2i2.5483

Abstract

Concrete material has moderately strong compressive strength, but relatively weak tensile strength. To overcome this problem, three kinds of systems can be applied, namely reinforced concrete system, composite concrete system, and prestressed concrete system. In a prestressed concrete system, a compressive force is applied to annihilate the tension region in the concrete section. Compared to reinforced concrete, prestressed concrete requires a smaller section of concrete, since the whole cross section is in compression and active. However, prestressing concrete needs the use of high strength steel wire which is extremely costly. The use of prestressing concrete may be carried out using minimization on the use of such expensive high strength steel. In this research, two methods of minimization of the use of high strength steel, which are the shifting of the support of the beam to get the smaller field moment. The other method is to reshape the concrete section to have a higher moment of inertia. It is found out that the two methods perform well in the minimization process of construction cost of the prestressing concrete beam.