671017.pdf

0

5

10

15

20

25

30

0 2000 4000

C PE8R-8-60-W

C P E 4-2-15-W

C P E 4-4-15-W

C P E 4-8-15-W

− 2000

y(

m)

Bending moment (kN m )

(a) Grid number being 15 along the wall

0

5

10

15

20

25

30

0 2000 4000

C PE8R-8-60-W

C P E 4-2-30-W

C P E 4-4-30-W

C P E 4-8-30-W

− 2000

y(

m)

Bending moment (kN m )

(b) Grid number being 30 along the wall

0

5

10

15

20

25

30

0 2000 4000

C PE8R-8-60-W

C P E 4-2-60-W

C P E 4-4-60-W

C P E 4-8-60-W

− 2000

y(

m)

Bending moment (kN m )

(c) Grid number being 60 along the wall

Figure 9: Comparison of bending moments calculated with displacement.

The errors in the tables are defined as

휀휔=

휔푐−휔

휔

× 100(%), (4a)

휀푀=

푀푐−푀

푀

× 100(%), (4b)

where휀휔=relative error of deflection,휀푀=relative error of

bending moment,휔푐=calculated deflection using FEM,휔=

analytically exact deflection from (1b),푀푐=calculated bend-

ing moment using FEM, and푀=analytically exact bending

moment from (1a).

FromTa b l e 1,wecanseethatthedeflectionusingCPS4is

smaller than the analytical solution, which implies that the