Using the moment distribution method, determine the members’ end moments of the frame shown in Figure . EI = constant.

Using the moment distribution method, determine the members’ end moments of the frame shown in Figure . EI = constant.

Fig. . Frame.

Solution

Fixed end moment.

Stiffness factor.

Distribution factor.

Table 12.3. Distribution table.

Final member end moments.

Substituting the obtained values of EKθB, EKθC, and EK∆ into the member end moment equations suggests the following:

MAB = –12.48 k. ft

MBA = +60.37 k. ft

MBC = –75.31 k. ft

MBD = +14.94 k. ft

MCB = 0

MDB = +7.47 k. ft