5003 Lectures - Faculty of Engineering and Applied Science

E5003 - Ship Structures I 233
© C.G. Daley
Typical spreadsheet to solve Moment Distribution problems.
Moment Distribution Method
table of values
param. value units
L1 10 m
L2 20 m
L3 20 m
L4 12.5 m
EI1 1 rel
EI2 1 rel
EI3 1 rel
EI4 1 rel
w 8 kN/m
Example E #3 x a m p
1 problem p all a r E I, no sway ol l b E l e I m,
10m 1 0 20m 2 m 0 m
w=8 w kN/m = 8
12 1 221 2 23 2 1 3 32 3 2
11 22 24 2 4 33
35 3 5
20m 2 0 m
12.5 1 m 2 .
all a E I l l E
42 4 2
e12 e21 e23 e24 e42 e32 e35 e53
α 1.0 0.5 0.250 0.250 0.0 0.3846 0.6154 0.0
FEM -66.7 66.7 -266.7 0.0 0.0 266.7 0.0 0.0
net 66.7 200.0 0.0 -266.7 0.0
dist 66.7 100.0 50.0 50.0 0.0 -102.6 -164.1 0.0
CO 50.0 33.3 -51.3 0.0 25.0 25.0 0.0 -82.1
eEM 50.0 200.0 -267.9 50.0 25.0 189.1 -164.1 -82.1
net -50.0 17.9 -25.0 -25.0 82.1
dist -50.0 9.0 4.5 4.5 0.0 -9.6 -15.4 0.0
CO 4.5 -25.0 -4.8 0.0 2.2 2.2 0.0 -7.7
eEM 4.5 184.0 -268.3 54.5 27.2 181.7 -179.5 -89.7
net -4.5 29.8 -27.2 -2.2 89.7
dist -4.5 14.9 7.5 7.5 0.0 -0.9 -1.4 0.0
CO 7.5 -2.2 -0.4 0.0 3.7 3.7 0.0 -0.7
eEM 0.0 196.0 -260.1 64.0 32.0 183.8 -183.8 -91.9
F21y 59.6 F12y 20.4 F42x 5 F53x -22
F42y 143.4 F53y 83.8
F23y 83.8 F32y 76.2
44
55
53 5 3