Moment distribution method: Difference between revisions

Revision as of 15:29, 13 July 2017

Revision as of 06:57, 4 August 2017

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=== Flexural stiffness and distribution factors ===

The flexural stiffness of members AB, BC and CD are <math>\frac{3EI}{L}</math>, <math>\frac{4\times 2EI}{L}</math> and <math>\frac{4EI}{L}</math>, respectively {{Disputed inline}}. Therefore, expressing the results in [[repeating decimal]] notation:

:<math>D_{BA} = \frac{\frac{3EI}{L}}{\frac{3EI}{L}+\frac{4\times 2EI}{L}} = \frac{\frac{3}{10}}{\frac{3}{10}+\frac{8}{10}} = \frac{3}{11} = 0.(27)</math>

:<math>D_{BC} = \frac{\frac{4\times 2EI}{L}}{\frac{3EI}{L}+\frac{4\times 2EI}{L}} = \frac{\frac{8}{10}}{\frac{3}{10}+\frac{8}{10}} = \frac{8}{11} = 0.(72)</math>