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8/17/2019 Examen Parcial-2.Xlsx ESTRUCTURAL.xlsx Elkin
1/85
rad 0
Ɵ 0
A 0.0005 m
E 2.00E+10 Kg/m2
L 4.8 m
sen 0.00
cos 1.00
AE/L 2083333
k
c2 sc -c2
sc s2 -sc
AE/L -c2 -sc c2
-sc -s2 sc
2.08E+06 0.00E+00 -2.08E+06
0.00E+00 0.00E+00 0.00E+00
-2.08E+06 0.00E+00 2.08E+06
0.00E+00 0.00E+00 0.00E+00
k
2.08E+06 0.00E+00 -2.08E+06
0.00E+00 0.00E+00 0.00E+00
-2.08E+06 0.00E+00 4.17E+06
0.00E+00 0.00E+00 0.00E+00
0.00E+00 0.00E+00 -2.08E+06
0.00E+00 0.00E+00 0.00E+00
4.17E+06
-2.08E+06
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S2 0
C2 1
SC 0
-sc 1.00 0.00 -1.00 0.00
-s2 0.00 0.00 0.00 0.00
sc -1.00 0.00 1.00 0.00
s2 0.00 0.00 0.00 0.00
0.00E+00
0.00E+00
0.00E+00
0.00E+00
k
0.00E+00 0.00E+00 0.00E+00 4.17E+06
0.00E+00 0.00E+00 0.00E+00 -2.08E+06
0.00E+00 -2.08E+06 0.00E+00
0.00E+00 0.00E+00 0.00E+00
0.00E+00 2.08E+06 0.00E+00
0.00E+00 0.00E+00 0.00E+00
-2.08E+06
2.08E+06
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rad 0
Ɵ 0
A 0.0005 m
E 2.00E+10 Kg/m2
L 4.8 m
sen 0.00 S2
cos 1.00 C2
AE/L 2083333 SC
k
c2 sc -c2 -sc
sc s2 -sc -s2
AE/L -c2 -sc c2 sc
-sc -s2 sc s2
2.08E+06 0.00E+00
0.00E+00 0.00E+00
-2.08E+06 0.00E+00
0.00E+00 0.00E+00
k-1
-2.08E+06 4.80E-07
2.08E+06
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0
1
0
1.00 0.00 -1.00 0.00
0.00 0.00 0.00 0.00
-1.00 0.00 1.00 0.00
0.00 0.00 0.00 0.00
-2.08E+06 0.00E+00
0.00E+00 0.00E+00
2.08E+06 0.00E+00
0.00E+00 0.00E+00
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!"A# C%ando e& ang%&o 'a en e& sen()do an()*orar)o es
(
45
arra 1-2
rad 0.7853,816
Ɵ 45
A 0.0005 m
E 2.00E+08 Kg/m2
L 8.485 m
sen 0.71 S2 0.5
cos 0.71 C2 0.5 AE/L
AE/L 11786 SC 0.5
A" E E K - ACAL
1 1 2 2 3
1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03
1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03
2 -5.8,E+03 -5.8,E+03 5.8,E+03 5.8,E+03
2 -5.8,E+03 -5.8,E+03 5.8,E+03 5.8,E+033
3
4
4
A" E E - L!AL
1 1 2
'
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- 1 2.26E+04 5.8,E+03 -5.8,E+03
- 1 5.8,E+03 5.8,E+03 -5.8,E+03
2 -5.8,E+03 -5.8,E+03 1.18E+04
2 -5.8,E+03 -5.8,E+03 -1.02E-12
- 3 0.00E+00 0.00E+00 -5.8,E+03
- 3 0.00E+00 0.00E+00 5.8,E+03
4 -1.67E+04 -2.04E-12 -6.25E-2, 4 -2.04E-12 -2.50E-28 1.02E-12
k-1
8.4,E-05
-4.33E-37
6.37E-37
-5.20E-21
EAS 9 ! C!!SC! 0.00E+00:1
; 0.00E+00
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+
45
6
º 135º
200kg
12m
c2 sc -c2 -sc
sc s2 -sc -s2
-c2 -sc c2 sc
-sc -s2 sc s2
0.5 0.5 -0.5 -0.50.5 0.5 -0.5 -0.5
-0.5 -0.5 0.5 0.5
-0.5 -0.5 0.5 0.5
3 4 4
2 3 3 4 4
"2"
'
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-5.8,E+03 0.00E+00 0.00E+00 -1.67E+04 -2.04E-12
-5.8,E+03 0.00E+00 0.00E+00 -2.04E-12 -2.50E-28
-1.02E-12 -5.8,E+03 5.8,E+03 -6.25E-2, 1.02E-12
2.85E+04 5.8,E+03 -5.8,E+03 1.02E-12 -1.67E+04
5.8,E+03 2.26E+04 -5.8,E+03 -1.67E+04 -2.04E-12
-5.8,E+03 -5.8,E+03 5.8,E+03 -2.04E-12 -2.50E-28
1.02E-12 -1.67E+04 -2.04E-12 3.33E+04 3.06E-12-1.67E+04 -2.04E-12 -2.50E-28 3.06E-12 1.67E+04
0.00E+00 6.37E-37 -5.20E-21
8.4,E-05 -1.04E-20 8.4,E-05
-1.04E-20 3.00E-05 -1.5,E-20
8.4,E-05 -1.5,E-20 1.45E-04
0.00E+00%1
0.00E+00'1
1.04E-18%2
-1.70E-02'2
0.00E+00%3
0.00E+00'3
3.18E-18%4
-2.,0E-02'4
> = K -1
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A" E EAS
-
-
4: -
4< -200
AA 2-3
rad -0.7853,81634
Ɵ -45
A 0.0005 m
E 2.00E+08 Kg/m2
L 8.485 m
sen -0.71 S2 0.5
cos 0.71 C2 0.5 AE/L
AE/L 11786 SC -0.5
A" E E K - ACAL
1 1 2 2 3
1
1
2 5.8,E+03 -5.8,E+03 -5.8,E+03
2 -5.8,E+03 5.8,E+03 5.8,E+033 -5.8,E+03 5.8,E+03 5.8,E+03
3 5.8,E+03 -5.8,E+03 -5.8,E+03
4
4
k
1
1
2
2
3
3
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1.18E+04 -1.02E-12 -6.25E-2, 1.02E-12
-1.02E-12 2.85E+04 1.02E-12 -1.67E+04
-6.25E-2, 1.02E-12 3.33E+04 3.06E-12
1.02E-12 -1.67E+04 3.06E-12 1.67E+04
k-1
8.4,E-05 0.00E+00 6.37E-37 -5.20E-21-4.33E-37 8.4,E-05 -1.04E-20 8.4,E-05
6.37E-37 -1.04E-20 3.00E-05 -1.5,E-20
-5.20E-21 8.4,E-05 -1.5,E-20 1.45E-04
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A"CES E ESLAAE"!S
- 1
- 2
3
4
- 5
- 6
c2 sc -c2 -sc
sc s2 -sc -s2
-c2 -sc c2 sc
-sc -s2 sc s2
0.5 -0.5 -0.5 0.5-0.5 0.5 0.5 -0.5
-0.5 0.5 0.5 -0.5
0.5 -0.5 -0.5 0.5
3 4 4
5.8,E+03
-5.8,E+03-5.8,E+03
5.8,E+03
>X1
∆ Y1
>X2
∆ Y2
>X3
∆ Y3
>X3
∆ Y3
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c2 sc -c2 -sc
sc s2 -sc -s2
-c2 -sc c2 sc
-sc -s2 sc s2
1.00 0.00 -1.00 0.000.00 0.00 0.00 0.00
-1.00 0.00 1.00 0.00
0.00 0.00 0.00 0.00
3 4 4
2.04E-12 -1.67E+04 -2.04E-12
2.50E-28 -2.04E-12 -2.50E-28
-2.04E-12 1.67E+04 2.04E-12
-2.50E-28 2.04E-12 2.50E-28
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AA 4-1
rad -3.1415,26536
Ɵ -180
A 0.0005 m
E 2.00E+08 Kg/m2
L 6 m
sen 0.00 S2 0.00
cos -1.00 C2 1.00 AE/L
AE/L 16667 SC 0.00
A" E E K - ACAL
1 1 2 2 3
1 1.67E+04 2.04E-12
1 2.04E-12 2.50E-28
2
23
3
4 -1.67E+04 -2.04E-12
4 -2.04E-12 -2.50E-28
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c2 sc -c2 -sc
sc s2 -sc -s2
-c2 -sc c2 sc
-sc -s2 sc s2
1.00 0.00 -1.00 0.000.00 0.00 0.00 0.00
-1.00 0.00 1.00 0.00
0.00 0.00 0.00 0.00
3 4 4
-1.67E+04 -2.04E-12
-2.04E-12 -2.50E-28
1.67E+04 2.04E-12
2.04E-12 2.50E-28
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AA 2-4
rad -1.5707,633
Ɵ -,0
A 0.0005 m
E 2.00E+08 Kg/m2
L 6 m
sen -1.00 S2 1.00
cos 0.00 C2 0.00 AE/L
AE/L 16667 SC 0.00
A" E E K - ACAL
1 1 2 2 3
1
1
2 6.25E-2, -1.02E-12
2 -1.02E-12 1.67E+043
3
4 -6.25E-2, 1.02E-12
4 1.02E-12 -1.67E+04
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c2 sc -c2 -sc
sc s2 -sc -s2
-c2 -sc c2 sc
-sc -s2 sc s2
0.00 0.00 0.00 0.000.00 1.00 0.00 -1.00
0.00 0.00 0.00 0.00
0.00 -1.00 0.00 1.00
3 4 4
-6.25E-2, 1.02E-12
1.02E-12 -1.67E+04
6.25E-2, -1.02E-12
-1.02E-12 1.67E+04
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A" E EAS A"CES E ESLAE
:1 -
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A" E E - L!AL
1 1 2
- 1 4.34E+06 1.68E+06 -8.40E+05
- 1 1.68E+06 3.36E+06 -1.68E+06 2 -8.40E+05 -1.68E+06 1.68E+06
2 -1.68E+06 -3.36E+06 -2.,7E-10
3 0.00E+00 0.00E+00 -8.40E+05
- 3 0.00E+00 0.00E+00 1.68E+06
4 -3.50E+06 -4.2,E-10 -1.82E-26
- 4 -4.2,E-10 -5.25E-26 2.,7E-10
K-1
1 1 2
1
1
2 6.8,E-07
2 -2.74E-08
3 1.8,E-07
3
4 1.33E-07
4
0.00E+00:1
0.00E+00
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1
1
2
2
3
34
4
= K >
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"!
sc -c2 -sc
s2 -sc -s2
-sc c2 sc
-s2 sc s2
0.20 0.40 -0.20 -0.400.40 0.80 -0.40 -0.80
-0.20 -0.40 0.20 0.40
-0.40 -0.80 0.40 0.80
3 4 4
%1
'1
%2'2
%3
'3
%4
'4
> = K -1
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2 3 3 4 4
-1.68E+06 0.00E+00 0.00E+00 -3.50E+06 -4.2,E-10
-3.36E+06 0.00E+00 0.00E+00 -4.2,E-10 -5.25E-26-2.,7E-10 -8.40E+05 1.68E+06 -1.82E-26 2.,7E-10
1.16E+07 1.68E+06 -3.36E+06 2.,7E-10 -4.85E+06
1.68E+06 ,.24E+06 -1.68E+06 -8.40E+06 -1.03E-0,
-3.36E+06 -1.68E+06 3.36E+06 -1.03E-0, -1.26E-25
2.,7E-10 -8.40E+06 -1.03E-0, 1.1,E+07 1.16E-0,
-4.85E+06 -1.03E-0, -1.26E-25 1.16E-0, 4.85E+06
2 3 3 4 4
-2.74E-08 1.8,E-07 1.33E-07
,.44E-08 -5.4,E-08 -3.87E-08
-5.4,E-08 3.78E-07 2.67E-07
-3.87E-08 2.67E-07 2.72E-07
0.00E+00%1
0.00E+00'1
3.45E-03%2
-1.37E-04'2
,.45E-04%3
0.00E+00'3
6.67E-04%4
0.00E+00 '4
> = K -1
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EA AAL
1
2
3
4
5
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AA 2-3
rad -1.1070623445 c2 sc
Ɵ -63.43 sc s2
A 0.001 m2 -c2 -sc
E 2.10E+10 kg/m2 -sc -s2
L 5
sen -0.8, S2 0.80 0.20cos 0.45 C2 0.20 AE/L -0.40
AE/L 4200000 SC -0.40 -0.20
0.40
A" E E K - ACAL
1 1 2 2 3
1
1
2 8.40E+05 -1.68E+06 -8.40E+05 2 -1.68E+06 3.36E+06 1.68E+06
3 -8.40E+05 1.68E+06 8.40E+05
3 1.68E+06 -3.36E+06 -1.68E+06
4
4
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AA 3-4
-c2 -sc rad
-sc -s2 Ɵ
c2 sc A
sc s2 E
L
-0.40 -0.20 0.40 sen0.80 0.40 -0.80 cos
0.40 0.20 -0.40 AE/L
-0.80 -0.40 0.80
3 4 4
%1 1
'1 1
1.68E+06 %2 2-3.36E+06 '2 2
-1.68E+06 %3 3
3.36E+06 '3 3
%4 4
'4 4
> = K -1
1=K&oca& ?
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1
1
2
2
3
3
4 4
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-3.1415,265 c2 sc -c2
-180 sc s2 -sc
0.001 m2 -c2 -sc c2
2.10E+10 Kg/m2 -sc -s2 sc
2.5
0.00 S2 0.00 1.00 0.00-1.00 C2 1.00 AE/L 0.00 0.00
8400000 SC 0.00 -1.00 0.00
0.00 0.00
A" E E K - ACAL
1 1 2 2 3 3
8.40E+06 1.03E-0,
1.03E-0, 1.26E-25
-8.40E+06 -1.03E-0,
-1.03E-0, -1.26E-25
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AA 4-1
-sc rad -3.1415,265
-s2 Ɵ -180
sc A 0.001
s2 E 2.10E+10
L 6
-1.00 0.00 sen 0.000.00 0.00 cos -1.00
1.00 0.00 AE/L 3500000
0.00 0.00
A" E
4 4 1
%1 1 3.50E+06
'1 1 4.2,E-10
%2 2'2 2
-8.40E+06 -1.03E-0, %3 3
-1.03E-0, -1.26E-25 '3 3
8.40E+06 1.03E-0, %4 4 -3.50E+06
1.03E-0, 1.26E-25 '4 4 -4.2,E-10
> = K -1
1=K&oca& ?
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1
1
2
2
3
3
4 4
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c2 sc -c2 -sc
sc s2 -sc -s2
m2 -c2 -sc c2 sc
Kg/m2 -sc -s2 sc s2
S2 0.00 1.00 0.00 -1.00C2 1.00 AE/L 0.00 0.00 0.00
SC 0.00 -1.00 0.00 1.00
0.00 0.00 0.00
E K - ACAL
1 2 2 3 3 4
4.2,E-10 -3.50E+06
5.25E-26 -4.2,E-10
-4.2,E-10 3.50E+06
-5.25E-26 4.2,E-10
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3 ..
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AA 2-4
rad -1.5707,633
Ɵ -,0
A 0.001 m2
E 2.10E+10 Kg/m2
L 4.33
0.00 sen -1.00 S20.00 cos 0.00 C2
0.00 AE/L 484,885 SC
0.00
A" E E K - A
4 1 1
-4.2,E-10 %1 1
-5.25E-26 '1 1
%2 2'2 2
%3 3
'3 3
4.2,E-10 %4 4
5.25E-26 '4 4
> = K -1
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..
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c2 sc -c2 -sc
sc s2 -sc -s2
-c2 -sc c2 sc
-sc -s2 sc s2
1.00 0.00 0.00 0.00 0.000.00 AE/L 0.00 1.00 0.00 -1.00
0.00 0.00 0.00 0.00 0.00
0.00 -1.00 0.00 1.00
CAL
2 2 3 3 4 4
1.82E-26 -2.,7E-10 -1.82E-26 2.,7E-10-2.,7E-10 4.85E+06 2.,7E-10 -4.85E+06
-1.82E-26 2.,7E-10 1.82E-26 -2.,7E-10
2.,7E-10 -4.85E+06 -2.,7E-10 4.85E+06
1=K&oca& ?
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1 0.00
1 0.00
2 0.00
2 0.00
3 0.00
3 0.00
4 0.00 4 0.00
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%1
'1
%2'2
%3
'3
%4
'4
> = K -1
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0
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!"A# C%ando e& ang%&o 'a en e& sen()do an()*orar)o
(
45
AA 1-2
rad 0.7853,816 c2
@ 45 sc
A 0.0005 m2 -c2E 200000000 kg/m2 -sc
L 8.485
sen 0.71 s2 0.5
cos 0.71 c2 0.5
AE/L 11785.50 sc 0.5
E"!! E LA E K-ACAL
1 1 2 2
1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03
1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03
2 -5.8,E+03 -5.8,E+03 5.8,E+03 5.8,E+03
2 -5.8,E+03 -5.8,E+03 5.8,E+03 5.8,E+03
'
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3
3
4
4
A"S E E L!AL
1 1 2 2
- 1 2.26E+04 5.8,E+03 -5.8,E+03 -5.8,E+03
- 1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03
2 -5.8,E+03 -5.8,E+03 1.18E+04 -1.02E-12
2 -5.8,E+03 -5.8,E+03 -1.02E-12 2.85E+04
- 3 0.00E+00 0.00E+00 -5.8,E+03 5.8,E+03
- 3 0.00E+00 0.00E+00 5.8,E+03 -5.8,E+03
4 -1.67E+04 -2.04E-12 -6.25E-2, 1.02E-12
4 -2.04E-12 -2.50E-28 1.02E-12 -1.67E+04
K-1
1 1 2 2
1
1
2 8.4,E-05 0.00E+00
2 -4.33E-37 8.4,E-05
3
3
4 6.37E-37 -1.04E-20
4 -5.20E-21 8.4,E-05
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0.00E+00 :1 0.00E+00
0.00E+00
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s +
45
6
º 135º
200kg
12m
sc -c2 -sc
s2 -sc -s2
-sc c2 sc-s2 sc s2
0.5 0.5 -0.5 -0.5
0.5 0.5 -0.5 -0.5
-0.5 -0.5 0.5 0.5
-0.5 -0.5 0.5 0.5
3 3 4 4
"2"
'
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3 3 4 4
0.00E+00 0.00E+00 -1.67E+04 -2.04E-12
0.00E+00 0.00E+00 -2.04E-12 -2.50E-28
-5.8,E+03 5.8,E+03 -6.25E-2, 1.02E-12
5.8,E+03 -5.8,E+03 1.02E-12 -1.67E+04
2.26E+04 -5.8,E+03 -1.67E+04 -2.04E-12
-5.8,E+03 5.8,E+03 -2.04E-12 -2.50E-28
-1.67E+04 -2.04E-12 3.33E+04 3.06E-12
-2.04E-12 -2.50E-28 3.06E-12 1.67E+04
3 3 4 4
6.37E-37 -5.20E-21
-1.04E-20 8.4,E-05
3.00E-05 -1.5,E-20
-1.5,E-20 1.45E-04
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%1
'1
%2
'2
%3'3
%4
'4
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A"S E EAS A"CES E
:1
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3 -5.8,E+03 5.8,E+03
3 5.8,E+03 -5.8,E+03
4
4
K
1.18E+04 -1.02E-12 -6.25E-2, 1.02E-12
-1.02E-12 2.85E+04 1.02E-12 -1.67E+04
-6.25E-2, 1.02E-12 3.33E+04 3.06E-12
1.02E-12 -1.67E+04 3.06E-12 1.67E+04
K-1
8.4,E-05 0.00E+00 6.37E-37 -5.20E-21
-4.33E-37 8.4,E-05 -1.04E-20 8.4,E-05
6.37E-37 -1.04E-20 3.00E-05 -1.5,E-20
-5.20E-21 8.4,E-05 -1.5,E-20 1.45E-04
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ESLAAE"!S
-
-
-
-
-c2 -sc
-sc -s2
c2 scsc s2
-0.5 -0.5 0.5
0.5 0.5 -0.5
0.5 0.5 -0.5
-0.5 -0.5 0.5
3 3 4 4
-5.8,E+03 5.8,E+03
5.8,E+03 -5.8,E+03
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5.8,E+03 -5.8,E+03
-5.8,E+03 5.8,E+03
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AA 3-4
rad -3.1415,2654 c2 sc
@ -180 sc s2
A 0.0005 m2 -c2 -scE 200000000 kg/m2 -sc -s2
L 6
sen 0.00 s2 0.00 1.00
cos -1.00 c2 1.00 0.00
AE/L 16666.67 sc 0.00 -1.00
0.00
E"!! E LA E K-ACAL
1 1 2 2
1
1
2
2
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3
3
4
4
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-c2 -sc
-sc -s2
c2 scsc s2
0.00 -1.00 0.00
0.00 0.00 0.00
0.00 1.00 0.00
0.00 0.00 0.00
3 3 4 4
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1.67E+04 2.04E-12 -1.67E+04 -2.04E-12
2.04E-12 2.50E-28 -2.04E-12 -2.50E-28
-1.67E+04 -2.04E-12 1.67E+04 2.04E-12
-2.04E-12 -2.50E-28 2.04E-12 2.50E-28
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AA 4-1
rad -3.1415,265 c2
@ -180 sc
A 0.0005 m2 -c2E 200000000 kg/m2 -sc
L 6
sen 0.00 s2 0.00
cos -1.00 c2 1.00
AE/L 16667 sc 0.00
E"!! E LA E K-ACAL
1 1 2
1 1.67E+04 2.04E-12
1 2.04E-12 2.50E-28
2
2
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3
3
4 -1.67E+04 -2.04E-12
4 -2.04E-12 -2.50E-28
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sc -c2 -sc
s2 -sc -s2
-sc c2 sc-s2 sc s2
1.00 0.00 -1.00 0.00
0.00 0.00 0.00 0.00
-1.00 0.00 1.00 0.00
0.00 0.00 0.00 0.00
2 3 3 4 4
-1.67E+04 -2.04E-12
-2.04E-12 -2.50E-28
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1.67E+04 2.04E-12
2.04E-12 2.50E-28
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AA 2-4
rad -1.5707,633
@ -,0
A 0.0005 m2E 200000000 kg/m2
L 6
sen -1.00 s2 1.00
cos 0.00 c2 0.00
AE/L 16666.67 sc 0.00
E"!! E LA E K-ACAL
1 1
1
1
2
2
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3
3
4
4
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c2 sc -c2 -sc
sc s2 -sc -s2
-c2 -sc c2 sc-sc -s2 sc s2
0.00 0.00 0.00 0.00
0.00 1.00 0.00 -1.00
0.00 0.00 0.00 0.00
0.00 -1.00 0.00 1.00
2 2 3 3 4 4
6.25E-2, -1.02E-12 -6.25E-2, 1.02E-12
-1.02E-12 1.67E+04 1.02E-12 -1.67E+04
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-6.25E-2, 1.02E-12 6.25E-2, -1.02E-12
1.02E-12 -1.67E+04 -1.02E-12 1.67E+04
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AA 1-2