Estos ejercicios son como ventanas a un mundo de conocimientos que te ayudarán a comprender mejor cómo se comportan los materiales y las estructuras en situaciones reales. Cada ejercicio viene con una explicación detallada y paso a paso de cómo abordar y resolver los desafíos, lo que te permit...
El estado de deformaci
on en un punto est
a dado por el tensor de deformacion
de Green-Lagrange de la siguiente forma
5 3 0
E = 3 4 −1 x10−4
0 −1 2
a)- Calcule el alargamiento unitario en la direcci
on de 2ê1 + 2ê2 + ê3
b)- Cual es el cambio de angulo entre dos vectores ortogonales en las direc-
ciones 2ê1 + 2ê2 + ê3 y 3ê1 − 6ê3
ξ = t(1) · ε · t(1)
donde: ξ es el alargamiento unitario y ε el tensor de deformacion in
nitesimal
ξ = ( )x10 16 13 0 2
9
1
1
ξ = ( )x10−4 (32 + 26)
9
El alargamiento unitario sera de:
58
ξ= x10−4
9
b)- El vectordel vector direccion viene dado por 3ê1 − 6ê3
1
t(2) = √ (3ê1 − 6ê3 )
45
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