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The Müller-Breslau principle is a method to determine influence lines. The principle states that the influence lines of an action (force or moment) assumes the scaled form of the deflection displacement. OR, This principle states that "ordinate of ILD for a reactive force is given by ordinate of elastic curve if a unit deflection is applied in ...
The Müller-Breslau Principle can only produce qualitative influence lines. [2] [5] This means that engineers can use it to determine where to place a load to incur the maximum of a function, but the magnitude of that maximum cannot be calculated from the influence line. Instead, the engineer must use statics to solve for the functions value in ...
Heinrich Mueller-Breslau. Heinrich Franz Bernhard Müller (May 13, 1851 in Breslau – April 24, 1925 in Grunewald, Berlin, known as Müller-Breslau from around 1875 to distinguish him from other people with similar names) was a German civil engineer and high school teacher.
The conjugate-beam method was developed by Heinrich Müller-Breslau in 1865. Essentially, it requires the same amount of computation as the moment-area theorems to determine a beam's slope or deflection; however, this method relies only on the principles of statics, so its application will be more familiar. [2]
After further review, I don't believe it is a good idea. There are ways to define the influence line of a structure which don't rely on Müller-Breslau's principle, and Müller-Breslau's principle refers to a very specific application of an important theorem which provides a convenient way to define influence lines.
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The Hardy Cross method iteratively corrects for the mistakes in the initial guess used to solve the problem. [1] Subsequent mistakes in calculation are also iteratively corrected. If the method is followed correctly, the proper flow in each pipe can still be found if small mathematical errors are consistently made in the process.
Muller's method is a root-finding algorithm, a numerical method for solving equations of the form f(x) = 0. It was first presented by David E. Muller in 1956. Muller's method proceeds according to a third-order recurrence relation similar to the second-order recurrence relation of the secant method .