Revitalizing the moment distribution method: A fast and exact analysis of multi-bay, multi-story frames
Journal Title: IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) - Year 2018, Vol 15, Issue 5
Abstract
The conventional moment distribution method is revitalized with a new approach which requires only one-cycle of balance and carry-over and no iteration. For a continuous beam, the method begins by assuming the value of the balancing moment, say x, at the first joint. By invoking the moment equilibrium condition successively from the first towards the last joints, balancing and carry-over moments at other joints can be determined in terms of the unknown x without iteration. By means of moment equilibrium of the last joint, the unknown x can be solved exactly, regardless of the number of spans, and the final moment distribution of the whole structure can be easily obtained. Further, for multi-bay, single story frames, the analysis is carried out without the need to separate the analysis into two stages as in conventional MDM, and the final exact moments are found by solving two unknowns only, regardless of the number of bays. As such, the revitalized MDM is particularly advantageous for solving continuous beams and single-story frames with large number of spans or bays. Five examples are given herein to demonstrate the procedures and efficiency of the proposed method.
Authors and Affiliations
Jackson Kong, Simon HF Wong
Keywords
Related Articles
- EP ID EP438846
- DOI 10.9790/1684-1505041524.
- Views 67
- Downloads 0
Development of Quadratic Triangular (T6) Elements in Java
This study developed Quadratic Triangular (T6) elements using an object oriented approach and the Java programming language. A review of the work of Kansara (2004) and Nikishkov (2010) was conducted to develop a finite e...
The Operational Utilities Of The Syukuran Aminuddin Amir Airport In Luwuk, Banggai Regency of Central Sulawesi
The demand for air transport movement, air transport traffic and passengers at Syukuran Aminuddin Amir Luwuk Airport increased from the growth and development of airport facilities, so that the operational performance de...
In-Process Machine Vision by Mono-Electron Image Acquisition and Analysis under Scale-Up Nano-Manufacturing Conditions
Manufacturing process automation have attained significant progress by the incorporation of AI and many other forms of machine vision technologies. In this paper, the stoichiometric dynamics relative to image acquisition...
Intelligent Maintenance System by Using MARKOV Chain with Monte Carlo Simulation Approaches
This paper presents Markov chain technique as a tool for forecasting the suitable maintenance of machines that helps managers in organizational decision making. Markov process is a tool to predict that it can be make log...
Application of Cost Control to Construction Projects
A high rate project abandonment due to cost over-run has really defaced the most cities. Among the success parameters of construction project namely: cost, quality and time, the project cost was the most significant amon...