8/18/2019 Matriz de Rigidez de Elemento Con Brazos Rigidos

1/1

Matriz de rigidez de elemento (de longitud bri + L + brd)con

dos brazos rígidos

A E⋅L

0

0

A E⋅L

−

0

0

0

12 E⋅   I⋅

L3

6 E⋅   I⋅

L2

12 E⋅   I⋅   bri

⋅

L3

+

0

12 E⋅   I⋅

L3

−

6 E⋅   I⋅

L2

12 E⋅   I⋅   brd

⋅

L3

+

0

6 E⋅   I⋅

L2

12 E⋅   I⋅   bri

⋅

L3

+

 bri

6 E⋅   I⋅

L2

12 E⋅   I⋅   bri

⋅

L3

+ 

 

 

 ⋅

  4 E⋅   I⋅L

+6 E⋅   I⋅   b

ri⋅

L2

+

0

6 E⋅   I⋅

L2

−12 E⋅   I⋅   b

ri⋅

L3

−

 bri

6 E⋅   I⋅

L2

12 E⋅   I⋅   brd

⋅

L3

+  

⋅  2 E⋅   I⋅

L+

6 E⋅   I⋅   brd

⋅

L2

+

A E⋅L

−

0

0

A E⋅L

0

0

0

12 E⋅   I⋅

L3

−

6 E⋅   I⋅

L2

−12 E⋅   I⋅   b

ri⋅

L3

−

0

12 E⋅   I⋅

L3

6 E⋅   I⋅

L2

−12 E⋅   I⋅   b

rd⋅

L3

−

0

6 E⋅   I⋅

L2

12 E⋅   I⋅   brd

⋅

L3

+

 brd

6 E⋅   I⋅

L2

12 E⋅   I⋅   bri

⋅

L3

+ 

 

 

 ⋅

  2 E⋅   I⋅L

+6 E⋅   I⋅   b

ri⋅

L2

+

0

6 E⋅   I⋅

L2

−12 E⋅   I⋅   b

rd⋅

L3

−

 brd

6 E⋅   I⋅

L2

12 E⋅   I⋅   brd

⋅

L3

+  

⋅  4 E⋅   I⋅

L+

6 E⋅   I⋅   brd

⋅

L2

+