3aaa6aeb-66d8-49f6-b5f7-a1463f90da18
48
4
5
decimal
&[DATE] &[TIME] - &[FILENAME]
<p>Templates</p>
beam
beam
0
1
-
1
1
-
1
1
0
1
0
1
-
5
2
mat
black
1
lightgray
1
4
mat
1
100
10
2
1
mat
1
4
mat
:
force
force
0
0
0
1
-
2
2
mat
blue
2
blue
0.2
1
-
1
-
0
0
1
1
-
1
-
1
-
4
2
mat
(
*
blue
2
blue
2
4
mat
1
10
40
2
1
mat
1
4
mat
:
support
constraint w=0
1
-
0
1
0
0
1
-
1
-
0
4
2
mat
black
1
white
1
4
mat
1
10
10
2
1
mat
1
4
mat
:
sym
constraint φ=0
0
0
0
1
2
2
mat
black
0
white
1
4
mat
1
1
20
2
1
mat
1
4
mat
:
dist
distributed load
0
1
-
1
1
-
1
1
0
1
0
1
-
5
2
mat
blue
0
#550000ff
1
4
mat
1
50
20
2
1
mat
1
4
mat
:
rdist
distributed load
0
0
1
0
1
1
-
0
0
4
2
mat
blue
0
#550000ff
1
4
mat
1
50
20
2
1
mat
1
4
mat
:
ldist
distributed load
0
1
-
1
0
1
0
0
0
4
2
mat
blue
0
#550000ff
1
4
mat
1
50
20
2
1
mat
1
4
mat
:
Vorlage
beam
force
support
sym
dist
rdist
ldist
7
1
sys
:
EI
100000
:
out
q.0
0.1
:
<p>preprocessing</p>
model
E#
N#
q
Pre
Identify required node positions
beams
model
1
1
findrows
:
EI
0
:
nodes
0
1
matrix
:
j
1
beams
rows
range
x.1
beams
j
2
el
beams
j
4
el
2
/
-
:
x.2
beams
j
2
el
beams
j
4
el
2
/
+
:
EI
EI
beams
j
5
el
EI
*
x
x.1
x.2
lele
*
+
:
nodes
nodes
x.1
x.2
2
1
mat
stack
eval
:
4
1
line
for
distributed load q
q
0
:
items
5
1
1
6
0
1
7
1
0
3
3
mat
:
k
1
items
rows
range
dist
model
items
k
1
el
1
findrows
:
dist
GetType
matrix
≡
j
1
dist
rows
range
x.1
dist
j
2
el
dist
j
4
el
2
/
-
:
x.2
dist
j
2
el
dist
j
4
el
2
/
+
:
q
q
dist
j
5
el
q.0
*
items
k
3
el
x
x.1
-
x.2
x.1
-
/
(
*
items
k
2
el
x.2
x
-
x.2
x.1
-
/
*
+
(
*
x
x.1
x.2
lele
*
+
:
nodes
nodes
x.1
x.2
2
1
mat
stack
eval
:
4
1
line
for
no dist
trace
if
2
1
line
for
nodal items
k
2
3
4
1
3
mat
items
model
k
1
findrows
:
items
GetType
matrix
≡
j
1
items
rows
range
nodes
nodes
items
j
2
el
1
1
mat
stack
eval
:
1
1
line
for
0
if
2
1
line
for
merge identical nodes
tol
0.05
:
nsort
nodes
sort
:
k
1
:
N#
1
1
el
nsort
1
el
eval
:
N#
1
7
el
0
:
j
2
nsort
rows
range
N#
k
1
el
nsort
j
el
-
abs
tol
>
k
k
1
+
:
N#
k
1
el
nsort
j
el
eval
:
2
1
line
0
if
for
x
n.N
j
1
N#
rows
range
x
N#
j
1
el
-
abs
tol
<
nn
j
:
0
if
for
nn
2
1
line
:
create elements
E#
0
5
matrix
:
j
1
N#
rows
1
-
range
EI.e
EI
x
N#
j
1
el
N#
j
1
+
1
el
+
2
/
(
≡
at
:
q.I
q
x
N#
j
1
el
tol
+
≡
at
:
q.J
q
x
N#
j
1
+
1
el
tol
-
(
≡
at
:
E#
E#
j
j
1
+
EI.e
q.I
q.J
1
5
mat
stack
eval
:
4
1
line
for
add nodal items
items
2
2
item
5
el
3
4
1
4
6
1
3
3
mat
:
k
1
items
rows
range
tmp
model
items
k
1
el
1
findrows
:
tmp
GetType
matrix
≡
1
continue
if
k
tmp
rows
tmp
GetType
trace
j
1
tmp
rows
range
item
tmp
j
row
:
item
trace
n
item
2
el
n.N
:
pos
items
k
2
el
:
value
items
k
3
el
:
N#
n
pos
el
value
:
6
1
line
for
4
1
line
for
ok
26
1
line
:
<p>Solution</p>
N#
E#
w
φ
M
Q
x
FEA
n.e
E#
rows
:
n.n
N#
rows
:
K
2
n.n
*
2
n.n
*
matrix
:
F
2
n.n
*
1
matrix
:
u
2
n.n
*
1
matrix
:
x
w
120
w.I
*
l
3
^
*
EI
*
x
x
x
3
40
EI
*
2
w.J
-
w.I
+
(
*
-
l
φ.J
φ.I
+
(
*
+
(
*
l
4
^
q.J
*
+
(
*
l
2
^
7
l
2
^
*
q.I
*
x
x
q.J
*
x
-
5
l
*
+
(
q.I
*
+
(
*
-
(
*
+
(
*
-
2
60
EI
*
3
w.J
-
w.I
+
(
*
-
l
φ.J
2
φ.I
*
+
(
*
+
(
*
l
4
^
q.J
*
+
(
*
3
l
4
^
*
q.I
*
+
(
l
*
+
(
*
120
φ.I
*
l
3
^
*
EI
*
-
(
*
+
120
l
3
^
*
EI
*
/
:
x
φ
120
φ.I
*
EI
*
l
3
^
*
x
x
5
x
*
x
q.J
*
x
-
4
l
*
+
(
q.I
*
+
(
*
l
2
^
*
3
3
40
EI
*
2
w.J
-
w.I
+
(
*
-
l
φ.J
φ.I
+
(
*
+
(
*
l
4
^
q.J
*
+
(
*
7
l
4
^
*
q.I
*
+
(
*
-
(
*
2
2
60
EI
*
3
w.J
-
w.I
+
(
*
-
l
φ.J
2
φ.I
*
+
(
*
+
(
*
l
4
^
q.J
*
+
(
*
3
l
4
^
*
q.I
*
+
(
*
l
*
+
(
*
-
120
EI
*
l
3
^
*
/
:
x
M
2
60
EI
*
3
w.J
-
w.I
+
(
*
-
l
φ.J
2
φ.I
*
+
(
*
+
(
*
l
4
^
q.J
*
+
(
*
3
l
4
^
*
q.I
*
+
(
l
*
x
10
x
*
x
q.J
*
x
-
3
l
*
+
(
q.I
*
+
(
*
l
2
^
*
3
3
40
EI
*
2
w.J
-
w.I
+
(
*
-
l
φ.J
φ.I
+
(
*
+
(
*
l
4
^
q.J
*
+
(
*
7
l
4
^
*
q.I
*
+
(
*
-
(
*
+
60
l
3
^
*
/
-
:
x
Q
3
40
EI
*
2
w.J
-
w.I
+
(
*
-
l
φ.J
φ.I
+
(
*
+
(
*
l
4
^
q.J
*
+
(
*
7
l
4
^
*
q.I
*
+
10
x
*
x
q.J
*
x
-
2
l
*
+
(
q.I
*
+
(
*
l
2
^
*
-
20
l
3
^
*
/
:
EI
l
K.e
12
EI
*
l
3
^
/
6
EI
*
l
2
^
/
-
12
EI
*
l
3
^
/
-
6
EI
*
l
2
^
/
-
6
EI
*
l
2
^
/
-
4
EI
*
l
/
6
EI
*
l
2
^
/
2
EI
*
l
/
12
EI
*
l
3
^
/
-
6
EI
*
l
2
^
/
12
EI
*
l
3
^
/
6
EI
*
l
2
^
/
6
EI
*
l
2
^
/
-
2
EI
*
l
/
6
EI
*
l
2
^
/
4
EI
*
l
/
4
4
mat
:
q.I
q.J
l
f.e
l
3
q.J
*
7
q.I
*
+
(
*
20
/
l
2
^
2
q.J
*
3
q.I
*
+
(
*
60
/
-
l
7
q.J
*
3
q.I
*
+
(
*
20
/
l
2
^
3
q.J
*
2
q.I
*
+
(
*
60
/
4
1
mat
:
Assemble global stiffness and element loads
i.e
1
E#
rows
range
I
E#
i.e
1
el
:
J
E#
i.e
2
el
:
EI
E#
i.e
3
el
:
q.I
E#
i.e
4
el
:
q.J
E#
i.e
5
el
:
l
N#
J
1
el
N#
I
1
el
-
:
j
i.g
2
I
1
-
(
*
j
+
j
2
≤
2
J
2
-
(
*
j
+
cases
:
i
1
4
range
j
1
4
range
K
i
i.g
j
i.g
el
K
i
i.g
j
i.g
el
EI
l
K.e
i
j
el
+
:
for
F
i
i.g
el
F
i
i.g
el
q.I
q.J
l
f.e
i
el
+
:
2
1
line
for
8
1
line
for
add concentrated loads
in
1
N#
rows
range
F
2
in
*
1
-
el
F
2
in
*
1
-
el
N#
in
2
el
+
:
F
2
in
*
el
F
2
in
*
el
N#
in
3
el
+
:
u
2
in
*
1
-
el
N#
in
4
el
N#
in
5
el
*
:
u
2
in
*
el
N#
in
6
el
N#
in
7
el
*
:
c
2
in
*
1
-
el
N#
in
4
el
:
c
2
in
*
el
N#
in
6
el
:
6
1
line
for
reduce the system by adding constraints
cc
1
2
n.n
*
range
c
augment
:
constr
cc
1
2
findrows
1
col
(
:
free
cc
0
2
findrows
1
col
(
:
F
F
K
u
*
-
(
:
i
1
free
rows
range
F.R
i
el
F
free
i
el
el
:
j
1
free
rows
range
K.R
i
j
el
K
free
i
el
free
j
el
el
:
f
2
1
line
for
2
1
line
for
solve the system
u.R
K.R
1
-
^
F.R
*
:
free
rows
1
≡
u.R
u.R
1
1
mat
:
0
if
expand solution to full system
i
1
free
rows
range
u
free
i
el
el
u.R
i
el
:
for
compute results
R
K
u
*
F
-
(
:
x
0
1
matrix
:
w
0
1
matrix
:
φ
0
1
matrix
:
M
0
1
matrix
:
Q
0
1
matrix
:
i.e
1
E#
rows
range
I
E#
i.e
1
el
:
J
E#
i.e
2
el
:
EI
E#
i.e
3
el
eval
:
q.I
E#
i.e
4
el
:
q.J
E#
i.e
5
el
:
w.I
u
2
I
*
1
-
el
:
φ.I
u
2
I
*
el
:
w.J
u
2
J
*
1
-
el
:
φ.J
u
2
J
*
el
:
l
N#
J
1
el
N#
I
1
el
-
:
n
8
:
j
0
n
range
x.e
N#
J
1
el
N#
I
1
el
-
(
j
n
/
*
:
x
x
x.e
N#
I
1
el
+
stack
eval
:
w
w
x.e
w
1
1
mat
stack
eval
:
φ
φ
x.e
φ
1
1
mat
stack
eval
:
Q
Q
x.e
Q
-
1
1
mat
stack
eval
:
M
M
x.e
M
-
1
1
mat
stack
eval
:
6
1
line
for
12
1
line
for
ok
35
1
line
:
out
E
N
q
Pre
ok
N
E
w
φ
M
Q
x
FEA
ok
<p>Graphics</p>
M.max
M
max
M
min
abs
1
2
mat
max
:
1991.9415
Q.max
Q
max
Q
min
abs
1
2
mat
max
:
114.9031
w.max
w
max
w
min
abs
1
2
mat
max
:
1.0898
results
R
x
M
M.max
/
augment
red
1
#55ff0000
x
Q
Q.max
/
augment
forestgreen
1
#5500ff00
x
w
w.max
/
augment
black
2
#00000000
N
1
1
el
0
N
N
rows
1
el
0
2
2
mat
black
1
black
N
1
1
el
1
-
N
1
1
el
1
2
2
mat
black
1
black
5
4
mat
1
100
100
2
1
mat
1
4
mat
1
1
sys
:
pre
1
0
0
400
200
1
5
mat
:
out
M.max
1991.9
Q.max
114.9
w.max
1.1