Muller Breslau Principle is applicable to get the influence line of w...
The Müller-Breslau principle uses Betti's law of virtual work to construct influence lines. To illustrate the method let us consider a structure AB. Let us apply a unit downward force at a distance x from A, at point C. Let us assume that it creates the vertical reactions and supports A and B, respectively. Let us call this condition “System 1.” In “System 2”, we have the same structure with a unit deflection applied in the direction of. Here is the deflection at point C.
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Muller Breslau Principle is applicable to get the influence line of w...
Muller Breslau Principle for Influence Lines
The Muller Breslau Principle is a powerful tool for determining the influence lines for forces and moments at any section of a structure. The influence line is a graphical representation of the effect of a unit load applied at any point along the structure.
Applicability of the Principle
The Muller Breslau Principle is applicable for getting the influence line of forces and moments at any section of a structure.
Steps to obtain the Influence Line
The following steps are followed to obtain the influence line using the Muller Breslau Principle:
1. Apply a unit load at the point where the influence line is required.
2. Determine the deflection at the section due to the applied load.
3. Determine the deflection of the structure due to the same unit load applied at the reference point.
4. Divide the deflection at the section by the deflection at the reference point to obtain the influence line.
5. Repeat the process for different positions of the unit load to obtain the complete influence line.
Conclusion
The Muller Breslau Principle is a useful tool for determining the influence line of forces and moments at any section of a structure. It is widely used in the analysis and design of structures to determine the effect of loads on different parts of the structure.