Civil Engineering Reference
In-Depth Information
The shear energy dissipation in each RC 2-D element is calculated by integrating the area
under the shear stress-strain curves at every cycle after the first yield. The integration was
performed numerically by using the trapezoidal rule, in which the area under the shear stress-
strain curve was approximated by a series of trapezoids. Good accuracy can be obtained by
dividing the area into small intervals. The shear energy dissipation of one cycle of loading at a
specified shear strain is defined as the shear energy dissipation ratio (
R
A
), and the shear energy
dissipation to resist the cumulative cycles is defined as the shear energy dissipation factor (
µ
D
)
6.3.11.2 Shear Energy Dissipation Ratio (
R
A
)
The calculated area, denoted by
A
pi
, under the shear stress-strain curve is defined in Figure
6.40(b) at a shear strain
2, 3, 4, etc. To make
A
pi
nondimensional, we will define
the shear energy dissipation ratio
R
A
at a certain shear strain
γ
i
, where
i
=
γ
i
,as
A
pi
A
y
R
A
=
(6.111)
Figure 6.40
Definition of shear energy dissipation ratio R
A
