China
Africa
Explore chapters and articles related to this topic
Mechanics of Structures and Their Analysis
Published in P.K. Jayasree, K Balan, V Rani, Practical Civil Engineering, 2021
P.K. Jayasree, K Balan, V Rani
In this method of analysis, the displacements of joints (may be rotation or translation) are selected as redundant and similar equations as in force method are written. Solution of these equations gives the displacement assumed. By substituting these displacements in original equations, the reaction components can be found out. Slope deflection method is a displacement method, whereas moment distribution method is a successive approximation method based on the same general theory as the displacement method. This method is of the greatest importance because it is the matrix analysis method which can be computerized for general usage.
General Analytical Theory of Super-Structures
Published in Dongzhou Huang, Bo Hu, Concrete Segmental Bridges, 2020
The moment distribution method is a displacement method of structural analysis that is essentially an iteration method that can be carried out to any desired degree of accuracy. This method is easy to follow and to remember. Many engineers still use this method to analyze some relatively simple structures, such as segmental transverse analysis, though there are many computer programs available. Before we explain the moment distribution method, two important concepts of distribution factor and carryover factor should be discussed.
Displacement Method of Analysis
Published in Kenneth Derucher, Chandrasekhar Putcha, Uksun Kim, Hota V.S. GangaRao, Static Analysis of Determinate and Indeterminate Structures, 2022
Kenneth Derucher, Chandrasekhar Putcha, Uksun Kim, Hota V.S. GangaRao
Hardy Cross originally developed the moment distribution method in 1930. It is a classical and iterative method. It essentially consists of locking and unlocking each joint consistent with the actual boundary conditions. This means that the whole procedure of moment distribution is carried out in such a way that at the end of it, the final end moments for a hinge (pin) joint should be zero while a fixed joint can have any amount of moment. Analysis of a structure essentially involves finding the end moments for each member. It will be interesting to compare the moment distribution method with another classical method called the slope-deflection method (discussed in Chapter 7). In the case of the slope-deflection method, finding end moments of members is a two-step process. The first step is finding the slopes at each joint and the second step is finding end moments for each member. On the other hand, the moment distribution method directly gives the end moments for each member. The moment distribution method, like the slope-deflection method, uses fixed-end moments and stiffness factors. Additionally, the moment distribution method uses distribution factors (DFs). It is through the DFs that the moment distribution is essentially carried out because they dictate how much moment a specific joint will transfer. Distribution factors are obtained using the stiffness factors for each member in such a way that it reflects the property of the joint. Thus, since the total moment at a hinge joint is zero, the distribution factor at a hinge joint is 1. Similarly, the distribution factor at a fixed joint is zero as the fixed joint can carry any amount of moment. The distribution factor will be discussed in more detail in Section 8.2.3.
Multi-objective green design model for prestressed concrete slabs in long-span buildings
Published in Architectural Engineering and Design Management, 2022
Jewoo Choi, Do Hun Hong, Seung Hyeong Lee, Ha Yeon Lee, Taehoon Hong, Dong-Eun Lee, Hyo Seon Park
is the moment distribution factor of each joint in the equivalent frame, which is given by Eq. (11). According to the moment distribution factor of each joint, the moment distribution method is employed to calculate the second moment using the prestress force, working load moment, and design moment.