Civil Engineering Reference
In-Depth Information
M
ATERIAL
B
EHAVIOUR
Axial Deformation
()
e
Material Ductility
Shear Deformation
()
g
S
ECTION
B
EHAVIOUR
c
Flexural Curvature
()
Curvature Ductility
M
EMBER
B
EHAVIOUR
C
ONNECTION
B
EHAVIOUR
Flexural Rotation
()
q
F
LOOR
B
EHAVIOUR
(
if any
)
Rotation Ductility
Rotation Ductility
S
YSTEM
B
EHAVIOUR
Global Deformation Ductility
Translation Ductility
Rotation Ductility
Figure 2.33
Hierarchical relationship between ductility levels
+
−
Δ
Δ
ΔΔ
+
+
max
max
μ =
(2.11)
+
−
y
y
where
Δ
max
+
and
Δ
max
−
are the positive and negative ultimate deformations, respectively;
Δ
+
and
Δ
−
the corresponding deformation at the yield point.
(ii)
Defi nition of ductility factor based on total hysteretic energy:
the entire response history of the
system is accounted for by the total hysteretic dissipated energy
E
t,H
and the ductility factor can
be expressed as below:
E
E
tH
E
,
μ =
(2.12.1)
where
E
E
is the elastic energy, also referred to as 'strain energy', at yield and is given by:
