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# Elemento Mola

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by

## Daniel Sayao

on 5 January 2016

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#### Transcript of Elemento Mola

Matriz de Rigidez do Elemento Mola
Daniel dos Anjos Sayao - 2014
Solução:
Cálculo da Matriz Inversa:
Determinante
Cofator
Transposta
Inversa
MAT(rix)Lab
matriz:
inversa:
Solução de sistema linear:
[A]*[x]= [B]
Exercício resolvido:
Calcular os deslocamentos e a reação no nó A pelo MEF:
Matriz de Rigidez de cada mola:
k
-k
-k
k
[
]
Solução:
Montar a matriz de rigidez de cada mola:
10 -10 0
-10 10+30 -30
0 -30 30
10 -10
-10 10
30 -30
-30 30
10 -10
-10 10
30 -30
-30 30
+
10 -10 0
-10 40 -30
0 -30 30
Somar as matrizes de rigidez de cada mola e montar a matriz de rigidez do sistema:
[
[
[
[
[
]
]
]
]
]
Montar as equações com matrizes:
10 -10 0
-10 40 -30
0 -30 30
Fa
0
-50
[
]
=
[
]
0
ub
uc
[
]
.
[F] = [k].[u]
40 -30
-30 30
[
]
0
-50
[
]
=
ub
uc
]
[
.
ub = -5 mm
uc = -6.667 mm
Resposta: