Determination of Resultant Forces for 2D Hyperstatic Frames using Android-Based Frame Design Application and Finite Element Analysis
DOI:
https://doi.org/10.25077/aijaset.v3i3.109Abstract
The slope deflection method assumes all joints are considered rigid, which means the angle does not change under any loads. This ensures that compatibility and deflection are neglected due to shear and axial stress. The numerical determination of forces and deformation in structures through applying the slope deflection method necessitates a relatively extended computational time and demands high-precision results. An effective tool can efficiently and precisely determine internal forces and structural deformations. This study utilizes the Frame Design Application version 5177, initially released on 24 June 2012 and has since been updated as of 2 February 2022, an Android-based application. Utilizing the Frame Design Application facilitates the expeditious and precise determination of internal forces and structural deformations. It is a valuable tool for professionals in civil engineering, mechanical engineering, and architecture, as well as students seeking to build 2D hyperstatic frames through Finite Element Analysis (FEA). The primary objective of this paper is to evaluate the precision of the Frame Design Application to determine its suitability for educational purposes. This paper will also evaluate the precision of the analysis outcomes by manual calculations and the utilization of SAP2000 Software. The provided analysis results exhibit negligible disparities. The Frame Design Application is a highly recommended tool for those in civil engineering, mechanical engineering, architecture and students seeking to design 2D hyperstatic frames through Finite Element Analysis (FEA).
References
W. Jemy et al. Penggunaan Metode Slope Deflection Pada Struktur Statis Tak Tentu Dengan Kekakuan Yang Tidak Merata Dalam Satu Balok. Jurnal Kajian Teknologi, 2014, 10.2.
W. Jemmy, Itang, Fanywati. Penggunaan Metode Cross Pada Balok Dengan Kekakuan Tidak Merata. Jurnal Kajian Teknologi, 2013, 9.3.
S. Thomas et al. Analysis And Tests Of Flexibly Connected Steel Frames. Journal Of Structural Engineering, 1986, 112.7: 1573-1588.
H. Muhammed Abbas et al. Reduced equations of slope-deflection method in structural analysis. International Journal of Applied Mechanics and Engineering, 2021, 26.4.
H. Muhammed Abbas. New Modification for slope-deflection equation in structural analysis. International Journal of Engineering and Technical Research, 2015, 3.7: 387-390.
A. Ochoa & J. Dario. Slope-deflection equations for stability and second-order analysis of Timoshenho beam–column structures with semi-rigid connections. Engineering Structures, 2008, 30.9: 2517-2527.
W. Chu-Kia. Matric Formulation of Slope-Deflection Equations. Journal of the Structural Division, 1958, 84.6: 1819-1-1819-19.
A. Ochoa & J. Dario. Second-order slope–deflection equations for imperfect beam–column structures with semi-rigid connections. Engineering structures, 2010, 32.8: 2440-2454.
K. Griengsak & W, Eric. Beam element formulation and solution procedure for dynamic progressive collapse analysis. Computers & Structures, 2004, 82.7-8: 639-651.
N. Nathan. A method of computation for structural dynamics. Journal of the engineering mechanics division, 1959, 85.3: 67-94.
C, Hardy. Analysis of continuous frames by distributing fixed-end moments. Transactions of the American Society of Civil Engineers, 1932, 96.1: 1-10.
M. Kachalla. Continuous Beam Analysis Using Slope Deflection And Moment Distribution Method: The Difference. Arts, Social Sciences, 2012, 68.
L. Arlindo Pires et al. A matrix formulation for the moment distribution method applied to continuous beams. Advances in Civil Engineering, 2011, 2011: 1-9.
Li, T. Q et al. Connection Element Method For The Analysis Of Semi-Rigid Frames. Journal Of Constructional Steel Research, 1995, 32.2: 143-171.
K. Craig A. Dynamic systems: modeling, simulation, and control. John Wiley & Sons, 2020.
W. William & G. James M. Matrix analysis framed structures. Springer science & business media, 2012.
G. D. Yogi (ed.) The CRC handbook of mechanical engineering. CRC press, 2004.
H. Samsul et al. Validation of Fixed-End Beam Analysis with Uniform Loads Using Android-Based Applications. Journal of Engineering Research and Reports, 2023, 24.11: 14-19.
H. Samsul et al. Studi Perbandingan Analisis Struktur Balok Menggunakan Aplikasi Berbasis Android dan SAP2000. Jurnal Gradasi Teknik Sipil, 2022, 6.1: 23-33.
S. Harpreet et al. Comparison of numerical analysis of portal frame using conventional and matrix approach methods. Materials Today: Proceedings, 2023.
V. B. R et al. Comparison between Analysis of a Portal Frame by E-TABS and Moment Distribution Method. International Research journal of Engineering and Technology E-ISSN, 2020, 2395-0056.
H. Friedel & K. Casimir. Frames Structural Analysis with Finite Elements, 2007, 269-326.
H. Samsul & Q. Annisa. Solution of Beam Structure Analysis Using SAP2000. 2023.
S. Stefanos et al. Topology optimization of framed structures using SAP2000. Procedia Manufacturing, 2020, 44: 68-75.
T. Siamak et al. Optimum design of frame structures using the eagle strategy with differential evolution. Engineering Structures, 2015, 91: 16-25.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Samsul A Rahman Sidik Hasibuan, Hakas Prayuda

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.


