A Matrix Formulation for the Moment Distribution Method Applied to Continuous Beams

Table 1

Initial moments at the ends of the members and the distribution and carry-over factors for the first example.

Node	A	B		C		D		E
Members	AB	BA	BC	CB	CD	DC	DE	ED
Fixed-end moments	−4	4	−4	4	−4	4	−7.5	0
Distribution factors	0	0.67	0.33	0.5	0.5	0.57	0.43	1
Carry-over factors	0.5	0.5	0.5	0.5	0.5	0.5	0.5	0