8/16/2019 MatriceKrut.

1/3

Matrica krutosti stapa tipa K  

=

[

0 0 0 00 12 6 0 12 6

0 6 4 0 6 2 0 0 0 00 12 6 0 12 60 6 2 0 6 4 ]

  =[

cos sin 0 0 0 0sin cos 0 0 0 0

0 0 1 0 0 00 0 0 cos sin 00 0 0 sin cos 00 0 0 0 0 1]

 

Matrica krutosti stapa tipa G

=

[

0 0 00 3 3 0 30 3 3 0 3

0 0 00 3 3 0 3 ]

  =

[

cos sin 0 0 0sin cos 0 0 0

0 0 1 0 00 0 0 cos sin

0 0 0 sin cos ] 

=[

0 0 00 3 0 3 3

0 0 00 3 0 3 30 3 0 3 3 ]

  = [

cos sin 0 0 0sin cos 0 0 0

0 0 cos sin 00 0 sin cos 00 0 0 0 1]

 

1 2 3 4 5

1

2

4

5

3

1 2 3 4 5

1

2

3

4

5

1 2 3 4 5 6

1

2

3

4

5

6

8/16/2019 MatriceKrut.

2/3

Matrica krutosti stapa tipa S

=

[

0 00 0 0

0 0 3 ]

  gde je l duzina stapa S 

= 1 1

1 1 = cos sin 0 0

0 0 cos sin   Veza globalnog i lokalnog kordinatnog sistema

R∗ = T ∙ R q∗ = T ∙ q Q∗ = T ∙ Q K∗ = TK T 

R = T ∙ R∗

  q = T ∙ q∗

  Q = T ∙ Q∗ 

Uslovne jednacine

q∗ = K∗−∗ K∗ ∗  

Zidno platno

= 11 + Ф

0 0 0 0

0 12 6 0 12 60 6 1+Ф4 0 6 2Ф 0 0 0 0

0 12 6 0 12 60 6

2Ф

0 6

4+Ф

  Ф = 1 . 2 Е (ℎ )   = 21+ 

Rostilj

=

0 0 GJ 0 00 12 6 0 12 60 6 4 0 6 2

GJ 0 0

GJ 0 00 12 6 0 12 6

0 6 2 0 6 4

  =

cos 0 0 0 0 00 1 0 0 0 0sin 0 cos 0 0 0

0 0 0 cos 0 sin 0 0 0 0 1 00 0 0 sin 0 cos

 

8/16/2019 MatriceKrut.

3/3

=

0 0 00 3 3 0 30 3 3 0 3

0 0 00 3 3 0 3

  =

cos 0 0 0 0 00 1 0 0 0 0

sin 0 cos 0 0 0

0 0 0 cos 0 sin 0 0 0 0 1 0

 

Teorija II reda

= 12 6 12 66 4 6 2

12 6 12 66 2 6 4  = 30

36 3 36 33 4 3

36 3 36 33 3 4