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2.0
First yield
Flat plate
1.5
Buckling
Failure
Elastic
post-buckling
behaviour
1.0
Plate with initial
curvature
0.5
0
0
0.5
1.0
1.5
2.0
2.5
Dimensionless transverse deflection
/
t
Figure 4.3
Post-buckling behaviour of thin plates.
Strain-hardening buckling
plates free along one edge
simply supported plates
Yielding
1.4
1.2
Flat plates without
residual stresses
1.0
Ultimate strengths of simply
supported plates
ult
/
f
y
0.8
Plates with
initial
curvature
0.6
Plates with residual
stresses and initial
curvature
0.4
0.2
Elastic buckling
cr
/
f
y
0
0
0.5
1.0
1.5
2.0
2.5
3.0
( (
)
)
2
)
f
cr
f
E
-
b
12
(
y
Modified plate slenderness
=
2
t
k
Figure 4.4
Ultimate strengths of plates in compression.
4.2 Plate elements in compression
4.2.1 Elastic buckling
4.2.1.1 Simply supported plates
Thethinflatplateelementoflength
L
,width
b
,andthickness
t
showninFigure4.5b
is simply supported along all four edges. The applied compressive loads
N
are
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