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Seminar Constructii Compozite
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q
1
0
:=
q
2
90
:=
n
32
:=
q
3
30
:=
q
4
30
-
:=
q
5
45
:=
E
m
2700
2.75
n
+
2.788
10
3
=
:=
n
m
0.27
10
3
-
n
+
0.302
=
:=
E
f
60000
275
n
+
6.88
10
4
=
:=
n
f
0.15
10
3
-
n
+
:=
p
f
30
n
+
(
)
62
=
:=
V
f
p
f
100
0.62
=
:=
V
m
1
V
f
-
0.38
=
:=
E
1
E
f
V
f
E
m
V
m
+
4.371544
10
4
=
:=
E
2
E
f
E
m
E
f
V
m
E
m
V
f
+
6.881836
10
3
=
:=
G
f
E
f
2
1
n
f
+
(
)
2.910321
10
4
=
:=
G
m
E
m
2
1
n
m
+
(
)
1.070661
10
3
=
:=
G
12
G
f
G
m
G
f
V
m
E
m
V
f
+
2.436675
10
3
=
:=
n
12
n
f
V
f
n
m
V
m
+
0.2276
=
:=
n
21
n
12
E
2
E
1
0.03583
=
:=
Q
11
E
1
1
n
21
n
12
-
4.407486
10
4
=
:=
Q
12
n
21
E
1
1
n
21
n
12
-
1.579184
10
3
=
:=
Q
21
Q
12
1.579184
10
3
=
:=
Q
22
E
2
1
n
21
n
12
-
6.938418
10
3
=
:=
Q
66
G
12
2.436675
10
3
=
:=
Q
Q
11
Q
21
0
Q
12
Q
22
0
0
0
Q
66
4.407486
10
4
1.579184
10
3
0
1.579184
10
3
6.938418
10
3
0
0
0
2.436675
10
3
=
:=
T
1lamela1
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
sin
q
1
(
)
(
)
2
cos
q
1
(
)
(
)
2
cos
q
1
(
)
sin
q
1
(
)
2
cos
q
1
(
)
sin
q
1
(
)
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
-
1
0
0
0
1
0
0
0
1
=
:=
T
2lamela1
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
sin
q
1
(
)
(
)
2
cos
q
1
(
)
(
)
2
2
cos
q
1
(
)
sin
q
1
(
)
cos
q
1
(
)
sin
q
1
(
)
cos
q
1
(
)
sin
q
1
(
)
(
)
-
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
-
1
0
0
0
1
0
0
0
1
=
:=
Q
baratlamela1
T
1lamela1
1
-
Q
T
2lamela1
4.407486
10
4
1.579184
10
3
0
1.579184
10
3
6.938418
10
3
0
0
0
2.436675
10
3
=
:=
Q
11baratlamela1
Q
21baratlamela1
Q
61baratlamela1
Q
12baratlamela1
Q
22baratlamela1
Q
62baratlamela1
Q
16baratlamela1
Q
26baratlamela1
Q
66baratlamela1
Q
baratlamela1
:=
Q
11baratlamela1
Q
21baratlamela1
Q
61baratlamela1
Q
12baratlamela1
Q
22baratlamela1
Q
62baratlamela1
Q
16baratlamela1
Q
26baratlamela1
Q
66baratlamela1
4.407486
10
4
1.579184
10
3
0
1.579184
10
3
6.938418
10
3
0
0
0
2.436675
10
3
=
S
baratlamela1
Q
baratlamela1
1
-
2.287521
10
5
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
1.4531
10
4
-
0
0
0
4.103954
10
4
-
=
:=
S
11baratlamela1
S
21baratlamela1
S
61baratlamela1
S
12baratlamela1
S
22baratlamela1
S
62baratlamela1
S
16baratlamela1
S
26baratlamela1
S
66baratlamela1
Q
baratlamela1
1
-
:=
S
11baratlamela1
S
21baratlamela1
S
61baratlamela1
S
12baratlamela1
S
22baratlamela1
S
62baratlamela1
S
16baratlamela1
S
26baratlamela1
S
66baratlamela1
2.287521
10
5
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
1.4531
10
4
-
0
0
0
4.103954
10
4
-
=
E
xlamela1
1
S
11baratlamela1
4.371544
10
4
=
:=
E
ylamela1
1
S
22baratlamela1
6.881836
10
3
=
:=
G
xylamela1
1
S
66baratlamela1
2.436675
10
3
=
:=
n
xylamela1
S
12baratlamela1
-
S
11baratlamela1
0.2276
=
:=
h
xxylamela1
S
16baratlamela1
S
66baratlamela1
0
=
:=
h
xyylamela1
S
26baratlamela1
S
66baratlamela1
0
=
:=
lamela 2
T
1lamela2
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
sin
q
2
(
)
(
)
2
cos
q
2
(
)
(
)
2
cos
q
2
(
)
sin
q
2
(
)
2
cos
q
2
(
)
sin
q
2
(
)
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
-
0
1
0
1
0
0
0
0
1
-
=
:=
T
2lamela2
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
sin
q
2
(
)
(
)
2
cos
q
2
(
)
(
)
2
2
cos
q
2
(
)
sin
q
2
(
)
cos
q
2
(
)
sin
q
2
(
)
cos
q
2
(
)
sin
q
2
(
)
(
)
-
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
-
0
1
0
1
0
0
0
0
1
-
=
:=
Q
baratlamela2
T
1lamela2
1
-
Q
T
2lamela2
6.938418
10
3
1.579184
10
3
2.975088
-
10
14
-
1.579184
10
3
4.407486
10
4
2.303627
10
12
-
2.975088
-
10
14
-
2.303627
10
12
-
2.436675
10
3
=
:=
Q
11baratlamela2
Q
21baratlamela2
Q
61baratlamela2
Q
12baratlamela2
Q
22baratlamela2
Q
62baratlamela2
Q
16baratlamela2
Q
26baratlamela2
Q
66baratlamela2
Q
baratlamela2
:=
Q
11baratlamela2
Q
21baratlamela2
Q
61baratlamela2
Q
12baratlamela2
Q
22baratlamela2
Q
62baratlamela2
Q
16baratlamela2
Q
26baratlamela2
Q
66baratlamela2
6.938418
10
3
1.579184
10
3
2.975088
-
10
14
-
1.579184
10
3
4.407486
10
4
2.303627
10
12
-
2.975088
-
10
14
-
2.303627
10
12
-
2.436675
10
3
=
S
baratlamela2
Q
baratlamela2
1
-
1.4531
10
4
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
2.287521
10
5
-
0
0
0
4.103954
10
4
-
=
:=
S
11baratlamela2
S
21baratlamela2
S
61baratlamela2
S
12baratlamela2
S
22baratlamela2
S
62baratlamela2
S
16baratlamela2
S
26baratlamela2
S
66baratlamela2
Q
baratlamela2
1
-
:=
S
11baratlamela2
S
21baratlamela2
S
61baratlamela2
S
12baratlamela2
S
22baratlamela2
S
62baratlamela2
S
16baratlamela2
S
26baratlamela2
S
66baratlamela2
1.4531
10
4
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
2.287521
10
5
-
0
0
0
4.103954
10
4
-
=
E
xlamela2
1
S
11baratlamela2
6.881836
10
3
=
:=
E
ylamela2
1
S
22baratlamela2
4.371544
10
4
=
:=
G
xylamela2
1
S
66baratlamela2
2.436675
10
3
=
:=
n
xylamela2
S
12baratlamela2
-
S
11baratlamela2
0.03583
=
:=
h
xxylamela2
S
16baratlamela2
S
66baratlamela2
0
=
:=
h
xyylamela2
S
26baratlamela2
S
66baratlamela2
0
=
:=
lamela 3
T
1lamela3
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
sin
q
1
(
)
(
)
2
cos
q
1
(
)
(
)
2
cos
q
1
(
)
sin
q
1
(
)
2
cos
q
1
(
)
sin
q
1
(
)
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
-
1
0
0
0
1
0
0
0
1
=
:=
T
2lamela3
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
sin
q
1
(
)
(
)
2
cos
q
1
(
)
(
)
2
2
cos
q
1
(
)
sin
q
1
(
)
cos
q
1
(
)
sin
q
1
(
)
cos
q
1
(
)
sin
q
1
(
)
(
)
-
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
-
1
0
0
0
1
0
0
0
1
=
:=
Q
baratlamela3
T
1lamela3
1
-
Q
T
2lamela3
4.407486
10
4
1.579184
10
3
0
1.579184
10
3
6.938418
10
3
0
0
0
2.436675
10
3
=
:=
Q
11baratlamela3
Q
21baratlamela3
Q
61baratlamela3
Q
12baratlamela3
Q
22baratlamela3
Q
62baratlamela3
Q
16baratlamela3
Q
26baratlamela3
Q
66baratlamela3
Q
baratlamela3
:=
Q
11baratlamela3
Q
21baratlamela3
Q
61baratlamela3
Q
12baratlamela3
Q
22baratlamela3
Q
62baratlamela3
Q
16baratlamela3
Q
26baratlamela3
Q
66baratlamela3
4.407486
10
4
1.579184
10
3
0
1.579184
10
3
6.938418
10
3
0
0
0
2.436675
10
3
=
S
baratlamela3
Q
baratlamela3
1
-
2.287521
10
5
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
1.4531
10
4
-
0
0
0
4.103954
10
4
-
=
:=
S
11baratlamela3
S
21baratlamela3
S
61baratlamela3
S
12baratlamela3
S
22baratlamela3
S
62baratlamela3
S
16baratlamela3
S
26baratlamela3
S
66baratlamela3
Q
baratlamela3
1
-
:=
S
11baratlamela3
S
21baratlamela3
S
61baratlamela3
S
12baratlamela3
S
22baratlamela3
S
62baratlamela3
S
16baratlamela3
S
26baratlamela3
S
66baratlamela3
2.287521
10
5
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
1.4531
10
4
-
0
0
0
4.103954
10
4
-
=
E
xlamela3
1
S
11baratlamela3
4.371544
10
4
=
:=
E
ylamela3
1
S
22baratlamela3
6.881836
10
3
=
:=
G
xylamela3
1
S
66baratlamela3
2.436675
10
3
=
:=
n
xylamela3
S
12baratlamela3
-
S
11baratlamela3
0.2276
=
:=
h
xxylamela3
S
16baratlamela3
S
66baratlamela3
0
=
:=
h
xyylamela3
S
26baratlamela3
S
66baratlamela3
0
=
:=
lamela 4
T
1lamela4
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
sin
q
2
(
)
(
)
2
cos
q
2
(
)
(
)
2
cos
q
2
(
)
sin
q
2
(
)
2
cos
q
2
(
)
sin
q
2
(
)
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
-
0
1
0
1
0
0
0
0
1
-
=
:=
T
2lamela4
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
sin
q
2
(
)
(
)
2
cos
q
2
(
)
(
)
2
2
cos
q
2
(
)
sin
q
2
(
)
cos
q
2
(
)
sin
q
2
(
)
cos
q
2
(
)
sin
q
2
(
)
(
)
-
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
-
0
1
0
1
0
0
0
0
1
-
=
:=
Q
baratlamela4
T
1lamela4
1
-
Q
T
2lamela4
6.938418
10
3
1.579184
10
3
2.975088
-
10
14
-
1.579184
10
3
4.407486
10
4
2.303627
10
12
-
2.975088
-
10
14
-
2.303627
10
12
-
2.436675
10
3
=
:=
Q
11baratlamela4
Q
21baratlamela4
Q
61baratlamela4
Q
12baratlamela4
Q
22baratlamela4
Q
62baratlamela4
Q
16baratlamela4
Q
26baratlamela4
Q
66baratlamela4
Q
baratlamela4
:=
Q
11baratlamela4
Q
21baratlamela4
Q
61baratlamela4
Q
12baratlamela4
Q
22baratlamela4
Q
62baratlamela4
Q
16baratlamela4
Q
26baratlamela4
Q
66baratlamela4
6.938418
10
3
1.579184
10
3
2.975088
-
10
14
-
1.579184
10
3
4.407486
10
4
2.303627
10
12
-
2.975088
-
10
14
-
2.303627
10
12
-
2.436675
10
3
=
S
baratlamela4
Q
baratlamela4
1
-
1.4531
10
4
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
2.287521
10
5
-
0
0
0
4.103954
10
4
-
=
:=
S
11baratlamela4
S
21baratlamela4
S
61baratlamela4
S
12baratlamela4
S
22baratlamela4
S
62baratlamela4
S
16baratlamela4
S
26baratlamela4
S
66baratlamela4
Q
baratlamela4
1
-
:=
S
11baratlamela4
S
21baratlamela4
S
61baratlamela4
S
12baratlamela4
S
22baratlamela4
S
62baratlamela4
S
16baratlamela4
S
26baratlamela4
S
66baratlamela4
1.4531
10
4
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
2.287521
10
5
-
0
0
0
4.103954
10
4
-
=
E
xlamela4
1
S
11baratlamela4
6.881836
10
3
=
:=
E
ylamela4
1
S
22baratlamela4
4.371544
10
4
=
:=
G
xylamela4
1
S
66baratlamela4
2.436675
10
3
=
:=
n
xylamela4
S
12baratlamela4
-
S
11baratlamela4
0.03583
=
:=
h
xxylamela4
S
16baratlamela4
S
66baratlamela4
0
=
:=
h
xyylamela4
S
26baratlamela4
S
66baratlamela4
0
=
:=
lamela 5
T
1lamela5
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
sin
q
1
(
)
(
)
2
cos
q
1
(
)
(
)
2
cos
q
1
(
)
sin
q
1
(
)
2
cos
q
1
(
)
sin
q
1
(
)
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
-
1
0
0
0
1
0
0
0
1
=
:=
T
2lamela5
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
2
cos
q
1
(
)
sin
q
1
(
)
(
)
-
sin
q
1
(
)
(
)
2
cos
q
1
(
)
(
)
2
2
cos
q
1
(
)
sin
q
1
(
)
cos
q
1
(
)
sin
q
1
(
)
cos
q
1
(
)
sin
q
1
(
)
(
)
-
cos
q
1
(
)
(
)
2
sin
q
1
(
)
(
)
2
-
1
0
0
0
1
0
0
0
1
=
:=
Q
baratlamela5
T
1lamela5
1
-
Q
T
2lamela5
4.407486
10
4
1.579184
10
3
0
1.579184
10
3
6.938418
10
3
0
0
0
2.436675
10
3
=
:=
Q
11baratlamela5
Q
21baratlamela5
Q
61baratlamela5
Q
12baratlamela5
Q
22baratlamela5
Q
62baratlamela5
Q
16baratlamela5
Q
26baratlamela5
Q
66baratlamela5
Q
baratlamela5
:=
Q
11baratlamela5
Q
21baratlamela5
Q
61baratlamela5
Q
12baratlamela5
Q
22baratlamela5
Q
62baratlamela5
Q
16baratlamela5
Q
26baratlamela5
Q
66baratlamela5
4.407486
10
4
1.579184
10
3
0
1.579184
10
3
6.938418
10
3
0
0
0
2.436675
10
3
=
S
baratlamela5
Q
baratlamela5
1
-
2.287521
10
5
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
1.4531
10
4
-
0
0
0
4.103954
10
4
-
=
:=
S
11baratlamela5
S
21baratlamela5
S
61baratlamela5
S
12baratlamela5
S
22baratlamela5
S
62baratlamela5
S
16baratlamela5
S
26baratlamela5
S
66baratlamela5
Q
baratlamela5
1
-
:=
S
11baratlamela5
S
21baratlamela5
S
61baratlamela5
S
12baratlamela5
S
22baratlamela5
S
62baratlamela5
S
16baratlamela5
S
26baratlamela5
S
66baratlamela5
2.287521
10
5
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
1.4531
10
4
-
0
0
0
4.103954
10
4
-
=
E
xlamela5
1
S
11baratlamela5
4.371544
10
4
=
:=
E
ylamela5
1
S
22baratlamela5
6.881836
10
3
=
:=
G
xylamela5
1
S
66baratlamela5
2.436675
10
3
=
:=
n
xylamela5
S
12baratlamela5
-
S
11baratlamela5
0.2276
=
:=
h
xxylamela5
S
16baratlamela5
S
66baratlamela5
0
=
:=
h
xyylamela5
S
26baratlamela5
S
66baratlamela5
0
=
:=
lamela 6
T
1lamela6
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
sin
q
2
(
)
(
)
2
cos
q
2
(
)
(
)
2
cos
q
2
(
)
sin
q
2
(
)
2
cos
q
2
(
)
sin
q
2
(
)
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
-
0
1
0
1
0
0
0
0
1
-
=
:=
T
2lamela6
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
2
cos
q
2
(
)
sin
q
2
(
)
(
)
-
sin
q
2
(
)
(
)
2
cos
q
2
(
)
(
)
2
2
cos
q
2
(
)
sin
q
2
(
)
cos
q
2
(
)
sin
q
2
(
)
cos
q
2
(
)
sin
q
2
(
)
(
)
-
cos
q
2
(
)
(
)
2
sin
q
2
(
)
(
)
2
-
0
1
0
1
0
0
0
0
1
-
=
:=
Q
baratlamela6
T
1lamela6
1
-
Q
T
2lamela6
6.938418
10
3
1.579184
10
3
2.975088
-
10
14
-
1.579184
10
3
4.407486
10
4
2.303627
10
12
-
2.975088
-
10
14
-
2.303627
10
12
-
2.436675
10
3
=
:=
S
baratlamela6
Q
baratlamela6
1
-
1.4531
10
4
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
2.287521
10
5
-
0
0
0
4.103954
10
4
-
=
:=
Q
11baratlamela6
Q
21baratlamela6
Q
61baratlamela6
Q
12baratlamela6
Q
22baratlamela6
Q
62baratlamela6
Q
16baratlamela6
Q
26baratlamela6
Q
66baratlamela6
Q
baratlamela6
:=
Q
11baratlamela6
Q
21baratlamela6
Q
61baratlamela6
Q
12baratlamela6
Q
22baratlamela6
Q
62baratlamela6
Q
16baratlamela6
Q
26baratlamela6
Q
66baratlamela6
6.938418
10
3
1.579184
10
3
2.975088
-
10
14
-
1.579184
10
3
4.407486
10
4
2.303627
10
12
-
2.975088
-
10
14
-
2.303627
10
12
-
2.436675
10
3
=
S
11baratlamela6
S
21baratlamela6
S
61baratlamela6
S
12baratlamela6
S
22baratlamela6
S
62baratlamela6
S
16baratlamela6
S
26baratlamela6
S
66baratlamela6
Q
baratlamela6
1
-
:=
S
11baratlamela6
S
21baratlamela6
S
61baratlamela6
S
12baratlamela6
S
22baratlamela6
S
62baratlamela6
S
16baratlamela6
S
26baratlamela6
S
66baratlamela6
1.4531
10
4
-
5.206398
-
10
6
-
0
5.206398
-
10
6
-
2.287521
10
5
-
0
0
0
4.103954
10
4
-
=
E
xlamela6
1
S
11baratlamela6
6.881836
10
3
=
:=
E
ylamela6
1
S
22baratlamela6
4.371544
10
4
=
:=
G
xylamela6
1
S
66baratlamela6
2.436675
10
3
=
:=
n
xylamela6
S
12baratlamela6
-
S
11baratlamela6
0.03583
=
:=
h
xxylamela6
S
16baratlamela4
S
66baratlamela4
0
=
:=
h
xyylamela6
S
26baratlamela4
S
66baratlamela4
0
=
:=
lamela 7
T
1lamela7
cos
q
3
(
)
(
)
2
sin
q
3
(
)
(
)
2
cos
q
3
(
)
sin
q
3
(
)
(
)
-
sin
q
3
(
)
(
)
2
cos
q
3
(
)
(
)
2
cos
q
3
(
)
sin
q
3
(
)
2
cos
q
3
(
)
sin
q
3
(
)
2
cos
q
3
(
)
sin
q
3
(
)
(
)
-
cos
q
3
(
)
(
)
2
sin
q
3
(
)
(
)
2
-
0.75
0.25
0.433013
-
0.25
0.75
0.433013
0.866025
0.866025
-
0.5
=
:=
T
2lamela7
cos
q
3
(
)
(
)
2
sin
q
3
(
)
(
)
2
2
cos
q
3
(
)
sin
q
3
(
)
(
)
-
sin
q
3
(
)
(
)
2
cos
q
3
(
)
(
)
2
2
cos
q
3
(
)
sin
q
3
(
)
cos
q
3
(
)
sin
q
3
(
)
cos
q
3
(
)
sin
q
3
(
)
(
)
-
cos
q
3
(
)
(
)
2
sin
q
3
(
)
(
)
2
-
0.75
0.25
0.866025
-
0.25
0.75
0.866025
0.433013
0.433013
-
0.5
=
:=
Q
baratlamela7
T
1lamela7
1
-
Q
T
2lamela7
2.764546
10
4
8.724474
10
3
1.216561
10
4
8.724474
10
3
9.077239
10
3
3.914941
10
3
1.216561
10
4
3.914941
10
3
9.581965
10
3
=
:=
S
baratlamela7
Q
baratlamela7
1
-
9.694592
10
5
-
4.866839
-
10
5
-
1.032014
-
10
4
-
4.866839
-
10
5
-
1.581633
10
4
-
2.830249
-
10
6
-
1.032014
-
10
4
-
2.830249
-
10
6
-
2.365474
10
4
-
=
:=
Q
11baratlamela7
Q
21baratlamela7
Q
61baratlamela7
Q
12baratlamela7
Q
22baratlamela7
Q
62baratlamela7
Q
16baratlamela7
Q
26baratlamela7
Q
66baratlamela7
Q
baratlamela7
:=
Q
11baratlamela7
Q
21baratlamela7
Q
61baratlamela7
Q
12baratlamela7
Q
22baratlamela7
Q
62baratlamela7
Q
16baratlamela7
Q
26baratlamela7
Q
66baratlamela7
2.764546
10
4
8.724474
10
3
1.216561
10
4
8.724474
10
3
9.077239
10
3
3.914941
10
3
1.216561
10
4
3.914941
10
3
9.581965
10
3
=
S
11baratlamela7
S
21baratlamela7
S
61baratlamela7
S
12baratlamela7
S
22baratlamela7
S
62baratlamela7
S
16baratlamela7
S
26baratlamela7
S
66baratlamela7
Q
baratlamela7
1
-
:=
S
11baratlamela7
S
21baratlamela7
S
61baratlamela7
S
12baratlamela7
S
22baratlamela7
S
62baratlamela7
S
16baratlamela7
S
26baratlamela7
S
66baratlamela7
9.694592
10
5
-
4.866839
-
10
5
-
1.032014
-
10
4
-
4.866839
-
10
5
-
1.581633
10
4
-
2.830249
-
10
6
-
1.032014
-
10
4
-
2.830249
-
10
6
-
2.365474
10
4
-
=
E
xlamela7
1
S
11baratlamela7
1.031503
10
4
=
:=
E
ylamela7
1
S
22baratlamela7
6.322578
10
3
=
:=
G
xylamela7
1
S
66baratlamela7
4.227483
10
3
=
:=
n
xylamela7
S
12baratlamela7
-
S
11baratlamela7
0.502016
=
:=
h
xxylamela7
S
16baratlamela7
S
66baratlamela7
0.436282
-
=
:=
h
xyylamela7
S
26baratlamela7
S
66baratlamela7
0.011965
-
=
:=
lamela 8
T
1lamela8
cos
q
4
(
)
(
)
2
sin
q
4
(
)
(
)
2
cos
q
4
(
)
sin
q
4
(
)
(
)
-
sin
q
4
(
)
(
)
2
cos
q
4
(
)
(
)
2
cos
q
4
(
)
sin
q
4
(
)
2
cos
q
4
(
)
sin
q
4
(
)
2
cos
q
4
(
)
sin
q
4
(
)
(
)
-
cos
q
4
(
)
(
)
2
sin
q
4
(
)
(
)
2
-
0.75
0.25
0.433013
0.25
0.75
0.433013
-
0.866025
-
0.866025
0.5
=
:=
T
2lamela8
cos
q
4
(
)
(
)
2
sin
q
4
(
)
(
)
2
2
cos
q
4
(
)
sin
q
4
(
)
(
)
-
sin
q
4
(
)
(
)
2
cos
q
4
(
)
(
)
2
2
cos
q
4
(
)
sin
q
4
(
)
cos
q
4
(
)
sin
q
4
(
)
cos
q
4
(
)
sin
q
4
(
)
(
)
-
cos
q
4
(
)
(
)
2
sin
q
4
(
)
(
)
2
-
0.75
0.25
0.866025
0.25
0.75
0.866025
-
0.433013
-
0.433013
0.5
=
:=
Q
baratlamela8
T
1lamela8
1
-
Q
T
2lamela8
2.764546
10
4
8.724474
10
3
1.216561
-
10
4
8.724474
10
3
9.077239
10
3
3.914941
-
10
3
1.216561
-
10
4
3.914941
-
10
3
9.581965
10
3
=
:=
S
baratlamela8
Q
baratlamela8
1
-
9.694592
10
5
-
4.866839
-
10
5
-
1.032014
10
4
-
4.866839
-
10
5
-
1.581633
10
4
-
2.830249
10
6
-
1.032014
10
4
-
2.830249
10
6
-
2.365474
10
4
-
=
:=
Q
11baratlamela8
Q
21baratlamela8
Q
61baratlamela8
Q
12baratlamela8
Q
22baratlamela8
Q
62baratlamela8
Q
16baratlamela8
Q
26baratlamela8
Q
66baratlamela8
Q
baratlamela8
:=
Q
11baratlamela8
Q
21baratlamela8
Q
61baratlamela8
Q
12baratlamela8
Q
22baratlamela8
Q
62baratlamela8
Q
16baratlamela8
Q
26baratlamela8
Q
66baratlamela8
2.764546
10
4
8.724474
10
3
1.216561
-
10
4
8.724474
10
3
9.077239
10
3
3.914941
-
10
3
1.216561
-
10
4
3.914941
-
10
3
9.581965
10
3
=
S
11baratlamela8
S
21baratlamela8
S
61baratlamela8
S
12baratlamela8
S
22baratlamela8
S
62baratlamela8
S
16baratlamela8
S
26baratlamela8
S
66baratlamela8
Q
baratlamela8
1
-
:=
S
11baratlamela8
S
21baratlamela8
S
61baratlamela8
S
12baratlamela8
S
22baratlamela8
S
62baratlamela8
S
16baratlamela8
S
26baratlamela8
S
66baratlamela8
9.694592
10
5
-
4.866839
-
10
5
-
1.032014
10
4
-
4.866839
-
10
5
-
1.581633
10
4
-
2.830249
10
6
-
1.032014
10
4
-
2.830249
10
6
-
2.365474
10
4
-
=
E
xlamela8
1
S
11baratlamela8
1.031503
10
4
=
:=
E
ylamela8
1
S
22baratlamela8
6.322578
10
3
=
:=
G
xylamela8
1
S
66baratlamela8
4.227483
10
3
=
:=
n
xylamela8
S
12baratlamela8
-
S
11baratlamela8
0.502016
=
:=
h
xxylamela8
S
16baratlamela8
S
66baratlamela8
0.436282
=
:=
h
xyylamela8
S
26baratlamela8
S
66baratlamela8
0.011965
=
:=
T
1lamela9
cos
q
5
(
)
(
)
2
sin
q
5
(
)
(
)
2
cos
q
5
(
)
sin
q
5
(
)
(
)
-
sin
q
5
(
)
(
)
2
cos
q
5
(
)
(
)
2
cos
q
5
(
)
sin
q
5
(
)
2
cos
q
5
(
)
sin
q
5
(
)
2
cos
q
5
(
)
sin
q
5
(
)
(
)
-
cos
q
5
(
)
(
)
2
sin
q
5
(
)
(
)
2
-
0.5
0.5
0.5
-
0.5
0.5
0.5
1
1
-
0
=
:=
lamela 9
T
2lamela9
cos
q
5
(
)
(
)
2
sin
q
5
(
)
(
)
2
2
cos
q
5
(
)
sin
q
5
(
)
(
)
-
sin
q
5
(
)
(
)
2
cos
q
5
(
)
(
)
2
2
cos
q
5
(
)
sin
q
5
(
)
cos
q
5
(
)
sin
q
5
(
)
cos
q
5
(
)
sin
q
5
(
)
(
)
-
cos
q
5
(
)
(
)
2
sin
q
5
(
)
(
)
2
-
0.5
0.5
1
-
0.5
0.5
1
0.5
0.5
-
0
=
:=
Q
baratlamela9
T
1lamela9
1
-
Q
T
2lamela9
1.597959
10
4
1.110624
10
4
9.284111
10
3
1.110624
10
4
1.597959
10
4
9.284111
10
3
9.284111
10
3
9.284111
10
3
1.196373
10
4
=
:=
S
baratlamela9
Q
baratlamela9
1
-
1.42042
10
4
-
6.315573
-
10
5
-
6.121742
-
10
5
-
6.315573
-
10
5
-
1.42042
10
4
-
6.121742
-
10
5
-
6.121742
-
10
5
-
6.121742
-
10
5
-
1.785981
10
4
-
=
:=
Q
11baratlamela9
Q
21baratlamela9
Q
61baratlamela9
Q
12baratlamela9
Q
22baratlamela9
Q
62baratlamela9
Q
16baratlamela9
Q
26baratlamela9
Q
66baratlamela9
Q
baratlamela9
:=
Q
11baratlamela9
Q
21baratlamela9
Q
61baratlamela9
Q
12baratlamela9
Q
22baratlamela9
Q
62baratlamela9
Q
16baratlamela9
Q
26baratlamela9
Q
66baratlamela9
1.597959
10
4
1.110624
10
4
9.284111
10
3
1.110624
10
4
1.597959
10
4
9.284111
10
3
9.284111
10
3
9.284111
10
3
1.196373
10
4
=
S
11baratlamela9
S
21baratlamela9
S
61baratlamela9
S
12baratlamela9
S
22baratlamela9
S
62baratlamela9
S
16baratlamela9
S
26baratlamela9
S
66baratlamela9
Q
baratlamela9
1
-
:=
S
11baratlamela9
S
21baratlamela9
S
61baratlamela9
S
12baratlamela9
S
22baratlamela9
S
62baratlamela9
S
16baratlamela9
S
26baratlamela9
S
66baratlamela9
1.42042
10
4
-
6.315573
-
10
5
-
6.121742
-
10
5
-
6.315573
-
10
5
-
1.42042
10
4
-
6.121742
-
10
5
-
6.121742
-
10
5
-
6.121742
-
10
5
-
1.785981
10
4
-
=
E
xlamela9
1
S
11baratlamela9
7.040173
10
3
=
:=
E
ylamela9
1
S
22baratlamela9
7.040173
10
3
=
:=
G
xylamela9
1
S
66baratlamela9
5.599165
10
3
=
:=
n
xylamela9
S
12baratlamela9
-
S
11baratlamela9
0.444627
=
:=
h
xxylamela9
S
16baratlamela9
S
66baratlamela9
0.342766
-
=
:=
h
xyylamela9
S
26baratlamela9
S
66baratlamela9
0.342766
-
=
:=
l
1
5
:=
h
0
l
1
8
l
1
2
+
:=
h
1
l
1
7
l
1
2
+
:=
h
2
l
1
6
l
1
2
+
:=
h
3
l
1
5
l
1
2
+
:=
h
4
l
1
4
l
1
2
+
:=
h
5
l
1
3
l
1
2
+
:=
h
6
l
1
2
l
1
2
+
:=
h
7
l
1
l
1
2
+
:=
h
8
l
1
2
:=
A
11
A
21
A
16
A
12
A
22
A
26
A
16
A
26
A
66
5.820766
-
10
11
-
1.818989
10
12
-
4.462632
10
13
-
2.000888
-
10
11
-
1.164153
-
10
10
-
1.812598
-
10
12
-
4.462632
10
13
-
1.812598
-
10
12
-
1.818989
10
11
-
=
B
B
11
B
12
B
16
B
12
B
22
B
26
B
16
B
26
B
66
0
0
0
0
0
0
0
0
0
=
:=
D
D
11
D
12
D
16
D
12
D
22
D
26
D
16
D
26
D
66
1.192093
-
10
7
-
2.483527
10
9
-
3.095951
10
10
-
2.483527
10
9
-
0
6.817405
-
10
11
-
3.095951
10
10
-
6.817405
-
10
11
-
2.483527
-
10
9
-
=
:=
E
A
11
A
12
A
16
B
11
B
12
B
16
A
12
A
22
A
26
B
12
B
22
B
26
A
16
A
26
A
66
B
16
B
26
B
66
B
11
B
12
B
16
D
11
D
12
D
16
B
12
B
22
B
26
D
12
D
22
D
26
B
16
B
26
B
66
D
16
D
26
D
66
1
-
:=
E
1.824812
-
10
10
3.124578
10
9
7.590517
10
8
0
0
0
3.124578
10
9
9.111641
-
10
9
9.846196
-
10
8
0
0
0
7.590517
10
8
9.846196
-
10
8
5.485884
10
10
0
0
0
0
0
0
2.94767
-
10
5
3.89843
10
8
1.073813
-
10
7
0
0
0
3.89843
10
8
1.877064
10
10
4.666658
-
10
8
0
0
0
1.073813
-
10
7
4.666658
-
10
8
3.911816
-
10
8
=
E
1
-
5.820766
-
10
11
-
2.000888
-
10
11
-
4.462632
10
13
-
0
0
0
2.000888
-
10
11
-
1.164153
-
10
10
-
1.812598
-
10
12
-
0
0
0
4.462632
10
13
-
1.812598
-
10
12
-
1.818989
10
11
-
0
0
0
0
0
0
1.192093
-
10
7
-
2.483527
10
9
-
3.095951
10
10
-
0
0
0
2.483527
10
9
-
0
6.817405
-
10
11
-
0
0
0
3.095951
10
10
-
6.817405
-
10
11
-
2.483527
-
10
9
-
=
Proprietatile mecanice cand avem solicitari axiale
a
11
submatrix
E
1
-
0
,
0
,
0
,
0
,
(
)
-
10
4
5.820766
10
7
-
(
)
=
:=
h
17
l
1
85
=
:=
E
x
1
a
11
h
2.021161
10
4
(
)
=
:=
a
22
submatrix
E
1
-
1
,
1
,
1
,
1
,
(
)
-
10
4
1.164153
10
6
-
(
)
=
:=
E
y
1
a
22
h
1.010581
10
4
(
)
=
:=
a
66
submatrix
E
1
-
2
,
2
,
2
,
2
,
(
)
10
5
1.818989
10
6
-
(
)
=
:=
G
xy
1
h
a
66
6.467715
10
3
(
)
=
:=
a
12
submatrix
E
1
-
0
,
0
,
1
,
1
,
(
)
10
3
2.000888
-
10
8
-
(
)
=
:=
n
xy
a
12
-
a
11
0.034375
=
:=
a
16
submatrix
E
1
-
0
,
0
,
2
,
2
,
(
)
-
10
5
4.462632
-
10
8
-
(
)
=
:=
h
xxy
a
16
-
a
11
0.076667
=
:=
a
26
submatrix
E
1
-
1
,
1
,
2
,
2
,
(
)
10
4
1.812598
-
10
8
-
(
)
=
:=
h
xyy
a
26
-
a
66
9.964864
10
3
-
=
:=
Ministerul Educaiei, Cercetrii i iNOVRII
Universitatea Tehnic Gheorghe Asachi din Iai
FACULTATEA DE
CONSTRUCII SI INSTALAII
Bulevardul Prof. D. Mangeron nr.43, 700050 Iai
Tel: 40 232 254 638 Fax: 40 232 233 368
Url: www.ce.tuiasi.ro E-mail: [email protected]
PROIECT
MATERIALE COMPOZITE
Student: PETREA PAUL
Grupa: 3408
Sectia: CCIA
An: IV - zi
