Page 225 - Marine Structural Design

Chapterlo Ultimate Strength of Plates and Stiffened Plates 20 1

(10.5)

Based on the boundary conditions, the following displacement function are assumed and
submitted to Eq. (10.5):
mm nny
w = c,. sin-sin- (1 0.6)
a b
where m and n are number of half waves in the x- and y-directions. The solution gives elastic
buckling stress as given by the expression:

(10.7)

where c is a factor depending on the plate aspect ratio ah, (see Figure 10.3).

1

X

Figure 10.2 Simply Supported Plate Subjected to Uniform Compression.

14

12
10

8 + s
d
0 6
4
m=l m=2 m=3 m=4
2

0
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5
Aspect mtio (ah)

Figure 10.3 Buckling Coefficient Versus Plate Aspect Ratio.