CAS Proiect2
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Proiect CAS CCIA III
Transcript of CAS Proiect2
Date de intrare
e
1
8
..
:=
b
0.3
0.25
0.3
0.25
0.3
0.3
0.25
0.3
:=
h
0.5
0.4
0.5
0.4
0.5
0.5
0.4
0.5
:=
A
e
b
e
h
e
:=
A
0.15
0.1
0.15
0.1
0.15
0.15
0.1
0.15
=
I
e
b
e
h
e
(
)
3
12
:=
L
4.8
5.7
4.8
4.2
1.2
3.6
4.3
3.6
:=
I
3.125
10
3
-
1.333
10
3
-
3.125
10
3
-
1.333
10
3
-
3.125
10
3
-
3.125
10
3
-
1.333
10
3
-
3.125
10
3
-
=
E
30
10
6
:=
Matricea de rigiditate a elementelor in sistem local
k
e
E
A
e
(
)
L
e
0
0
E
A
e
(
)
-
L
e
0
0
0
12
E
I
e
(
)
L
e
(
)
3
6
-
E
I
e
(
)
L
e
(
)
2
0
12
-
E
I
e
(
)
L
e
(
)
3
6
-
E
I
e
(
)
L
e
(
)
2
0
6
-
E
I
e
(
)
L
e
(
)
2
4
E
I
e
(
)
L
e
0
6
E
I
e
(
)
L
e
(
)
2
2
E
I
e
(
)
L
e
E
A
e
(
)
-
L
e
0
0
E
A
e
(
)
L
e
0
0
0
12
-
E
I
e
(
)
L
e
(
)
3
6
E
I
e
(
)
L
e
(
)
2
0
12
E
I
e
(
)
L
e
(
)
3
6
E
I
e
(
)
L
e
(
)
2
0
6
-
E
I
e
(
)
L
e
(
)
2
2
E
I
e
(
)
L
e
0
6
E
I
e
(
)
L
e
(
)
2
4
E
I
e
(
)
L
e
:=
k
1
937.5
0
0
937.5
-
0
0
0
10.173
24.414
-
0
10.173
-
24.414
-
0
24.414
-
78.125
0
24.414
39.062
937.5
-
0
0
937.5
0
0
0
10.173
-
24.414
0
10.173
24.414
0
24.414
-
39.062
0
24.414
78.125
10
3
=
k
2
526.316
0
0
526.316
-
0
0
0
2.592
7.387
-
0
2.592
-
7.387
-
0
7.387
-
28.07
0
7.387
14.035
526.316
-
0
0
526.316
0
0
0
2.592
-
7.387
0
2.592
7.387
0
7.387
-
14.035
0
7.387
28.07
10
3
=
k
3
937.5
0
0
937.5
-
0
0
0
10.173
24.414
-
0
10.173
-
24.414
-
0
24.414
-
78.125
0
24.414
39.062
937.5
-
0
0
937.5
0
0
0
10.173
-
24.414
0
10.173
24.414
0
24.414
-
39.062
0
24.414
78.125
10
3
=
k
4
714.286
0
0
714.286
-
0
0
0
6.479
13.605
-
0
6.479
-
13.605
-
0
13.605
-
38.095
0
13.605
19.048
714.286
-
0
0
714.286
0
0
0
6.479
-
13.605
0
6.479
13.605
0
13.605
-
19.048
0
13.605
38.095
10
3
=
k
4
714.286
0
0
714.286
-
0
0
0
6.479
13.605
-
0
6.479
-
13.605
-
0
13.605
-
38.095
0
13.605
19.048
714.286
-
0
0
714.286
0
0
0
6.479
-
13.605
0
6.479
13.605
0
13.605
-
19.048
0
13.605
38.095
10
3
=
k
5
3.75
10
3
0
0
3.75
-
10
3
0
0
0
651.042
390.625
-
0
651.042
-
390.625
-
0
390.625
-
312.5
0
390.625
156.25
3.75
-
10
3
0
0
3.75
10
3
0
0
0
651.042
-
390.625
0
651.042
390.625
0
390.625
-
156.25
0
390.625
312.5
10
3
=
k
6
1.25
10
3
0
0
1.25
-
10
3
0
0
0
24.113
43.403
-
0
24.113
-
43.403
-
0
43.403
-
104.167
0
43.403
52.083
1.25
-
10
3
0
0
1.25
10
3
0
0
0
24.113
-
43.403
0
24.113
43.403
0
43.403
-
52.083
0
43.403
104.167
10
3
=
k
7
697.674
0
0
697.674
-
0
0
0
6.037
12.98
-
0
6.037
-
12.98
-
0
12.98
-
37.209
0
12.98
18.605
697.674
-
0
0
697.674
0
0
0
6.037
-
12.98
0
6.037
12.98
0
12.98
-
18.605
0
12.98
37.209
10
3
=
k
8
1.25
10
3
0
0
1.25
-
10
3
0
0
0
24.113
43.403
-
0
24.113
-
43.403
-
0
43.403
-
104.167
0
43.403
52.083
1.25
-
10
3
0
0
1.25
10
3
0
0
0
24.113
-
43.403
0
24.113
43.403
0
43.403
-
52.083
0
43.403
104.167
10
3
=
a
90
0
90
0
90
90
0
90
deg
:=
Ro
e
cos
a
e
(
)
sin
a
e
(
)
-
0
0
0
0
sin
a
e
(
)
cos
a
e
(
)
0
0
0
0
0
0
1
0
0
0
0
0
0
cos
a
e
(
)
sin
a
e
(
)
-
0
0
0
0
sin
a
e
(
)
cos
a
e
(
)
0
0
0
0
0
0
1
:=
Ro
1
0
1
-
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
-
0
0
0
0
1
0
0
0
0
0
0
0
1
=
Matricea de rigiditate elementara raportata la sistemul global
kg
e
Ro
e
T
k
e
Ro
e
:=
kg
1
10.173
0
24.414
10.173
-
0
24.414
0
937.5
0
0
937.5
-
0
24.414
0
78.125
24.414
-
0
39.062
10.173
-
0
24.414
-
10.173
0
24.414
-
0
937.5
-
0
0
937.5
0
24.414
0
39.062
24.414
-
0
78.125
10
3
=
Matricile de localizare partitionate
A
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
:=
A
2
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
:=
A
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
:=
A
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
:=
A
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
:=
A
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
:=
A
7
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
:=
A
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
:=
A
i
T
{27,6}
{27,6}
{27,6}
{27,6}
{27,6}
{27,6}
{27,6}
{27,6}
=
A
e
{6,27}
{6,27}
{6,27}
{6,27}
{6,27}
{6,27}
{6,27}
{6,27}
=
K
1
8
i
A
i
T
kg
i
A
i
=
:=
K
0
1
2
3
4
5
6
7
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
5.365
0
-0.244
-5.263
0
0
0
0
0
9.401
-0.074
0
-0.026
-0.074
0
0
-0.244
-0.074
1.062
0
0.074
0.14
0
0
-5.263
0
0
12.508
0
0.244
-7.143
0
0
-0.026
0.074
0
9.466
-0.062
0
-0.065
0
-0.074
0.14
0.244
-0.062
1.443
0
0.136
0
0
0
-7.143
0
0
13.653
0
0
0
0
0
-0.065
0.136
0
37.565
0
0
0
0
-0.136
0.19
3.906
0.136
0
0
0
0
0
0
-6.51
0
0
0
0
0
0
0
0
-37.5
0
0
0
0
0
0
3.906
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
-0.102
0
0.244
0
0
0
0
...
10
5
=
Vectorul redus al fortelor echivalente la nod
m
1
71.45
:=
F
1
14.89
:=
T
1
75.21
:=
m
2
30.87
:=
T
2
44.1
:=
F
2
2.91
:=
T
3
23.32
:=
m
3
16.71
:=
Pr
0
T
1
-
m
1
0
T
1
-
T
2
-
m
2
m
1
-
F
1
-
T
2
-
m
2
-
0
T
3
-
m
3
F
2
-
T
3
-
m
3
-
:=
Pr
0
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
0
-75.21
71.45
0
-119.31
-40.58
-14.89
-44.1
-30.87
0
-23.32
16.71
-2.91
-23.32
-16.71
=
Matricea de rigiditate redusa
Kr
submatrix
K
1
,
15
,
1
,
15
,
(
)
:=
Kr
0
1
2
3
4
5
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
536.488
0
-24.414
-526.316
0
0
0
940.092
-7.387
0
-2.592
-7.387
-24.414
-7.387
106.195
0
7.387
14.035
-526.316
0
0
3
1.25110
0
24.414
0
-2.592
7.387
0
946.571
-6.219
0
-7.387
14.035
24.414
-6.219
144.29
0
0
0
-714.286
0
0
0
0
0
0
-6.479
13.605
0
0
0
0
-13.605
19.048
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
...
10
3
=
Ko
submatrix
K
16
,
27
,
1
,
15
,
(
)
:=
Ko
0
1
2
3
4
5
6
7
0
1
2
3
4
5
6
7
8
9
10
11
-1.017
0
2.441
0
0
0
0
0
0
-93.75
0
0
0
0
0
0
-2.441
0
3.906
0
0
0
0
0
0
0
0
-1.017
0
-2.441
0
0
0
0
0
0
-93.75
0
0
0
0
0
0
2.441
0
3.906
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
...
10
4
=
Ur
Kr
1
-
Pr
:=
Ur
0
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
-6.815
-0.778
5.484
-7.201
-1.326
-2.154
-7.662
-0.463
-0.2
-5.261
-0.352
4.663
-5.302
-136.29
40.598
10
4
-
=
Calculul reactiunilor datorate incarcarilor exterioare
R
Ko
Ur
:=
R
0
0
1
2
3
4
5
6
7
8
9
10
11
20.322
72.892
38.061
12.585
124.272
-25.996
-7.553
44.048
1.453
-7.553
44.048
1.453
=
Determinarea eforturilor elementare prin forumarea matriciala
a
e
submatrix
A
e
1
,
6
,
1
,
15
,
(
)
:=
a
1
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
...
=
S
e
k
e
Ro
e
a
e
Ur
:=
S
2
20.322
2.318
-
11.966
20.322
-
2.318
1.245
=
S
3
124.272
-
12.585
34.411
-
124.272
12.585
-
25.996
-
=
S
4
32.907
2.644
7.414
-
32.907
-
2.644
-
3.691
-
=
S
1
72.892
20.322
-
38.061
72.892
-
20.322
59.484
=
S
6
44.048
-
7.553
-
25.739
44.048
7.553
1.453
=
S
7
2.91
23.32
83.566
-
2.91
-
23.32
-
16.71
-
=
S
8
44.048
-
7.553
-
25.739
44.048
7.553
1.453
=
S
5
41.456
-
18.017
-
27.179
-
41.456
18.017
48.799
=
S0
7
0
T
3
m
3
-
0
T
3
m
3
:=
S0
4
0
T
2
m
2
-
0
T
2
m
2
:=
S0
2
0
T
1
m
1
-
0
T
1
m
1
:=
S0
8
0
0
0
0
0
0
:=
S0
5
0
0
0
0
0
0
:=
S0
1
0
0
0
0
0
0
:=
S0
3
0
0
0
0
0
0
:=
S0
6
0
0
0
0
0
0
:=
S0
4
0
44.1
30.87
-
0
44.1
30.87
=
S0
7
0
23.32
16.71
-
0
23.32
16.71
=
S0
2
0
75.21
71.45
-
0
75.21
71.45
=
Sf
e
S
e
S0
e
+
:=
Sf
3
124.272
-
12.585
34.411
-
124.272
12.585
-
25.996
-
=
Sf
4
32.907
46.744
38.284
-
32.907
-
41.456
27.179
=
Sf
1
72.892
20.322
-
38.061
72.892
-
20.322
59.484
=
Sf
2
20.322
72.892
59.484
-
20.322
-
77.528
72.695
=
Sf
5
41.456
-
18.017
-
27.179
-
41.456
18.017
48.799
=
Sf
6
44.048
-
7.553
-
25.739
44.048
7.553
1.453
=
Sf
7
2.91
46.64
100.276
-
2.91
-
0
0
=
Sf
8
44.048
-
7.553
-
25.739
44.048
7.553
1.453
=
