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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View Full DocumentStep 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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 Fall '10
 Hosteng
 Moment Of Inertia, Summation, Calculate Unbalanced Moments

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