Civil Engineering Reference
In-Depth Information
The main analysis is performed and the global deformation of the retained
degrees of freedom of joint is found.
−1
=
∆
g
KP
g
g
The interior loads to be used to find the remainder of the deformations
are shown in Equation 5.39. This represents the loads due to the interior
loading that was saved and the load due to the motion of the main analysis
motions on the interior joints.
∆
g
L
O
S
A
XX
XX
XX
XX
=
+
A
D
V
E
∆
g
(5.39)
The deformations of the interior degrees of freedom or joints can be found
from Equation 5.40.
∆
∆
∆
∆
X
X
X
X
−
1
L
−
1
O
A
D
=
−
1
−
1
(5.40)
The local member forces are found from the deformation in Equation
5.40, the same as in step 6 of the general stiffness procedure given in
Section 4.13. The values of ∆ are used for ∆
g
in Equation 4.38 and
repeated here.
[]
=
+
PM
m
&
K
m
R
∆
FEPM
m
g
REfEREncES
Blette, K.J. 1985.
Numerical Methods for Architectural Engineers
. Stillwater,
Oklahoma: Oklahoma State University.
