5003 Lectures - Faculty of Engineering and Applied Science

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E5003 - Ship Structures I 126 © C.G. Daley Topic 12: Problems 12.1. Find the location of the force F so that is a maximu of Betti-Maxwell. 12.2. Illustrate the Betti-Maxwell theorem using the beam load cases shown below. Use the deflection table on pg 8 at the end of the paper.
E5003 - Ship Structures I 127 © C.G. Daley Topic 13: The Moment Distribution Method Introduction In this chapter we will describe the moment distribution method for solving indeterminate beams ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Hardy Cross (Wikipedia) Overview Venice The moment distribution method is a type of displacement (stiffness) method because it makes use of the stiffness terms we derived earlier. It is particularly useful for solving problems involving beams over multiple supports, and frames with moment connections. It is what can be termed a ‘relaxation’ method. This refers to the iterative way that errors are ‘relaxed’. The method can be solved manually on paper with a simple calculator, and was once the dominant method used in professional practice. These days it can easily be solved with a spreadsheet, but is seldom used professionally. Its current value is in helping students develop an understanding of structural behavior. The essence of structures is the interconnected behavior of structural elements. The moment distribution method is all about the way neighboring elements interact. The method was developed by Prof. Hardy Cross in the 1920s and 30s. Cross studied at MIT and Harvard, taught at Brown, Illinois and Yale and consulted extensively. Prof. Hardy Cross described his procedure as follows:
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5003 Lectures - Faculty of Engineering and Applied Science

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