Moment distribution method: Difference between revisions

Revision as of 17:00, 21 October 2020

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==== Determination of carryover factors ====

Let one end (end A) of a fixed beam be released and applied a moment <math>M_A</math> while tremainsthe other end (end B) remains fixed. This will cause end A to rotate through an angle <math>\theta_A</math>. Once the magnitude of <math>M_B</math> developed at end B is found, the carryover factor of this member is given as the ratio of <math>M_B</math> over <math>M_A</math>:

:<math>C_{AB} = \frac{M_B}{M_A}</math>

In case of a beam of length L with constant cross-section whose flexural rigidity is <math>EI</math>,