671017.pdf

0

5

10

15

20

25

30

35

00.01 0.02 0.03 0. 04

Displacem ent (m)

−0. 01

y(

m)

C PE8R-8-60

C P E 4-2-15

C P E 4-4-15

C P E 4-8-15

(a) Grid number being 15 along the wall

5

10

15

20

25

30

35

00.01 0.02 0. 03 0. 04

Displacem ent (m)

−0. 01

y(

m)

0

C PE8R-8-60

C P E 4-2-30

C P E 4-4-30

C P E 4-8-30

(b) Grid number being 30 along the wall

0

5

10

15

20

25

30

35

00.01 0.02 0.03 0. 04

Displacem ent (m)

−0. 01

y(

m)

C PE8R-8-60

C P E 4-2-60

C P E 4-4-60

C P E 4-8-60

(c) Grid number being 60 along the wall

Figure 8: Comparison of horizontal displacements.

interpolation points being 10, 30, 60, and 120. This shows that
themethodusedhereachievedagoodresultforthebending
moment.

2.2. Errors in Displacement and Bending Moment.We u s e d
several meshes to do the computation. Grids along the length
ofthebeamwere32,64,and128(inthe푥direction, see

Figure 1).Sectionalpartitionswere1,2,4,8,16,and32.Two

element types, CPS4 and the 8-node reduced-integration

element (CPS8R), were employed in the analysis. The results

are shown in Tables 1 , 2 ,and 3 and in Figures 4 and 5 ,where

the term푚×푛denotes that there are푚grids along the푦

direction and푛grids along the푥direction; B, C, D, and E are

positions for error calculation (seeFigure 1).