![]() 2.0 A Simple ExampleĬonsider the simple two-span continuous indeterminate beam in Fig 1. This process repeats over and over again, however, with each iteration the moment imbalances in the structure become smaller and smaller.Īs usual, the only real way to make sense of this is to watch it in action, so let’s work our way through a simple example. This means we need to repeat the balance and distribution process. This carry-over moment will now unbalance the joints in the structure again. carry over 50% of the distributed moment to the other end of each of the members meeting at the joint -assuming the adjacent joint is capable of resisting moments – we’ll clarify this below).distribute the balancing moment between the members meeting at the joint, in proportion to their flexural stiffnesses.apply a balancing moment to eliminate the imbalance.At this point we enter the iterative moment balancing process for each joint in turn, we: Typically there will be a moment imbalance at each joint. Next, we determine the bending moments that develop at each locked joint as a result of the loading on each beam segment. In a multi-span beam, this results in a series of beam segments, isolated from each other by locked joints. This is often referred to as locking the structure. We start by fixing all internal joints against rotation. With these internal moments established, span moments, shear forces and support reactions are determined using free body diagrams and simple statics. Iterations continue, successively reducing and moment imbalance, until moment equilibrium is achieved at all joints in the structure. Let’s start by summarising the key features of the moment distribution method the technique seeks to identify the bending moments at internal joints through an iterative process of applying balancing and redistribution moments. 1.0 Introduction to the Moment Distribution Method If you’re not, work your way through this tutorial first. If you’re reading this, I’m assuming you’re already comfortable drawing shear force and bending moment diagrams for statically determinate beams. After you finish this tutorial, you can go there to keep learning. ![]() This tutorial is based on my course, Indeterminate Structures and the Moment Distribution Method. If you’d prefer to watch me explain the solution, you can watch video below. We’ll start by getting a clear understanding of the steps in the procedure before applying what we’ve learned to a more challenging worked example at the end. ![]() In this tutorial, we’ll focus on applying the moment distribution method to beams. This is an excellent technique for quickly determining the shear force and bending moment diagrams for indeterminate beam and frame structures. In this tutorial we’ll explore the moment distribution method. ![]()
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