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KIC000115

# KIC000115 - Example Moment Distribution Problem Calculate...

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Example Moment Distribution Problem Calculate all reactions and draw the V and M diagram for the following problem OF AS = 0 since A is fixed OF BA = keA I (keA +keel = .4286 DF ec = (1 • DF BA ) = .5714 DF ca = kca I (kca + keD)= .5164 OF co = (1 - DF cB ) = .4836 DF oc = 1 since 0 is a roller at the end of the structure 12 k A 4 kif B 1 p I t~ C 0 //9/ /);)7 , , , , , , 7 , 7 , 20 ft. 15 ft. 8 ft. 8 ft. Step 1: Set up your Moment Distribution Table Join A B C 0 Member AB BA BC CB CD DC Stiffness, K Distribution Factor FEM Unbalanced Momen Distribute Carry Ove Step 2: Calculate member stiffness coefficients for each member = 4EI/L k AS = k BA = 4*E1/20 = .2EI k BC = kcB= 4*EV15 = .267EI keo = k DC =4*EV16 = .25EI Step 3: Calculate Distribution Factors

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Step 4: Calculate Fixed End Moments (FEM's) A 4 kif B FEM As = -wL 2 /12 = -133.3333 FEM sA = +wL 2/12 = 133.3333 FEM BC ~ 0 FEM cs ~ 0 FEM cD = -PU8 = -24 FEM Dc = +PU8 = 24 12 k , , 20 ft. B
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KIC000115 - Example Moment Distribution Problem Calculate...

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