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7/24/2019 Mathcad - determinanta_evaluacija
http://slidepdf.com/reader/full/mathcad-determinantaevaluacija 1/8
K
40000 0.533P
10000
7500 0.1P
10000
40000 0.533P
7500 0.1P
7500 0.1P
7500 0.1P
7500 0.6P
P
K 25515.6675 P2 0.1597934 P3 1.0698375e9 P 7.875e12
7875000000000 1069837500.000 P 25515.667500 P2
.1597934 P3
0= solve P
9306.0171327152928464
94087.912153475501016
56285.178236397748593
detK P( ) 7875000000000 1069837500.000P 25515.667500P2 .1597934P3
0 2 104
4 104
6 104
8 104
1 105
6 1012
4.25 1012
2.5 1012
7.5 1011
1 1012
2.75 1012
4.5 10
12
6.25 1012
8 1012
detK P( )
P
P 0
B
40000 0.533P
10000
7500 0.1P
10000
40000 0.533P
7500 0.1P
7500 0.1P
7500 0.1P
7500 0.6P
B 7875000000000
NAPOMENAPOZITVNA VRIJEDNOST DETERMINANTE JE ZA POTVRDU STABILNOSTI POTREBAN, ALI NE I DOVOLJAN USLOV.
7/24/2019 Mathcad - determinanta_evaluacija
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EI1 20000 EI2 30000
l1 4 l2 6
α1 l1S
EI1
α2 0
A1α1 sin α1( ) α1
2cos α1( )
2 cos α1( ) 1( ) α1 sin α1( )
α1A2
α2 sin α2( ) α22
cos α2( ) 2 cos α2( ) 1( ) α2 sin α2( )
B2α2
2α2 sin α2( )
2 cos α
2( ) 1( ) α
2 sin α
2( )
D1
α12
1 cos α1( )( )
2 cos α1( ) 1( ) α1 sin α1( )
α1
E1α1
3sin α1( )
2 cos α1( ) 1( ) α1 sin α1( )
α1
K_tacno
EI1 A1
l1
EI2 4
l2
EI2 2
l2
EI1 D1
l12
EI2 2
l2
EI1 A1
l1
EI2 4
l2
EI1 D1
l12
EI1 D1
l12
EI1 D1
l12
2 EI1 E1
l13
A1 0
10000
100000
45000 sin 3.6933768762583882598( )
2
sin 3.6933768762583882598( )2
1
7/24/2019 Mathcad - determinanta_evaluacija
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K_tacno
50000000000000000 sin 4S
20000
3
S
20000
5
2
25000000 S2
75000000 S2
cos 4S
20000
5000 S
3 cos 4
S
20000
30000000000000000 sin 4
S
20000
detK S( ) 20000
75000000 2 S
3
2 sin
1
502 S
1
2
250000 S
2 750000 S
2 cos
1
502 S
1
2
2
2000000 S2
sin1
502 S
1
2
2
22500 2 S
5
2 sin
1
502 S
1
2
cos
1
502
8.711 1012
8.694 1012
detK S( )
1000000 S
S
7/24/2019 Mathcad - determinanta_evaluacija
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S
20000
3
2
75000000 S2
cos 4S
20000
2
25000000 S2
cos 4S
20000
3
10000 S3
cos 4S
20000
2
5000 S3
cos 4S
20000
3
200000000 S2
sin 4S
20000
2
6000000
15000 cos 4 S20000
40000 sin 4 S
20000
1
2
150000000 2 S
3
2 sin
1
502 S
1
2
cos
1
502 S
1
2
750000 S
2 cos
1
502 S
1
2
50 S
3 cos
1
502 S
1
2
100 S
3 cos
1
502 S
1
2
2
50 S3
cos1
502 S
1
2
3
300 S3
cos
100 cos 1
50
2 S
1
2
100 2 S
7/24/2019 Mathcad - determinanta_evaluacija
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0000000000 cos 4S
20000
sin 4S
20000
S
20000
3
2
200000000 S2
cos 4S
20000
sin 4S
20000
2
30000 S3
cos 4S
20000
sin 4S
20000
2
25000000 S2
sin 4S
200
3
S20000
3
2
3 S sin 4 S20000
2
15000 cos 4 S20000
2
5000 cos 4 S20000
3
30000 sin 4 S20000
S
20000 3 S cos 4 S
20000
sin 4 S20000
2
60000 cos 4
1
502 S
1
2
sin
1
502 S
1
2
2
2000000 S2
sin1
502 S
1
2
2
cos1
502 S
1
2
6250 2 S
5
2 sin
1
502 S
1
2
3
75000000 2 S
3
2 sin
1
502 S
1
2
cos
1
502 S
1
2
2
250000 S2
cos
1
2sin
1
50
2 S
1
2
3
7/24/2019 Mathcad - determinanta_evaluacija
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0
S
20000 30000000000000000 cos 4
S
20000
2
sin 4S
20000
S
20000
3
2
50000000 S2
cos 4S
20000
sin 4S
20000
S
20000 8000000000000 S cos 4
S
20000
2
sin
S20000
sin 4 S20000
S
20000 30000 cos 4 S
20000
2
sin 4 S20000
S
20000 5000
1
502 S
1
2
3
21250 2 S
5
2 sin
1
502 S
1
2
cos
1
502 S
1
2
2
S
7
2cos
1
502 S
1
2
2
2 sin1
502 S
1
2
1250 2 S
5
2 sin
1
502 S
1
2
7/24/2019 Mathcad - determinanta_evaluacija
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4S
20000
S
20000
3
2
25000000 S2
cos 4S
20000
2
sin 4S
20000
S
20000 400000000 S
2 cos 4
S
20000
2
sin 4S
20000
S
20000
3
2
8000000000000 S cos 4S
20000
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sin 4S
20000
S
20000
3
2