Paper
Consummation of Müller-Breslau Principle
- Authors:
- Wenjie Niu
- Abstract
- In order to properly use Müller-Breslau principle to determine a structure’s influence line, Müller-Breslau principle was validated and Consummated with three examples. Results indicate that when using Müller-Breslau principle, the first step is that: for the simply supported beam having overhanging beam segment which is statically determinate, the beam segment of the structure should be treated as rigid body when using Müller-Breslau principle; for the statically indeterminate beam with two fixed ends, the beam segment of the structure should be treated as deformable bar when using Müller-Breslau principle to determine the moment influence line of the beam section at the support bearing of the fixed ends; for the statically indeterminate continuous beam with no overhanging beam segment, the beam segment of the structure should be treated as deformable bar when using Müller-Breslau principle to determine the moment influence line of the beam section at the movable hinge support bearing. The second step is the beam segment at the studied point should be replaced with a hinge. The third step is that the separated beam segment should rotate around the hinge at the studied point or can be assumed as applied with a pair of couple in the opposite direction. However, Müller-Breslau principle can only give the approximate influence line shape while rigorous influence needs to be determined with slope-deflection method. Müller-Breslau principle could be a way to validate the results given by Slope-deflection method.
- Keywords
- Moment Influence Line; Müller-Breslau Principle; Simply Supported Beam; Beam with Two Fixed Ends; Statically Indeterminate Continuous Beam
- StartPage
- 492
- EndPage
- 496
- Doi