# Elementos finitos

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• Publicado : 7 de noviembre de 2011

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Ejercicio 1

E=210e6;
G=84e6;
A=2e-2;
Iy=10e-5;
Iz=20e-5;
J=5e-5;
k1=SpaceFrameElementStiffness(E,G,A,Iy,Iz,J,0,0,0,3,0,0);
k2=SpaceFrameElementStiffness(E,G,A,Iy,Iz,J,0,0,0,0,0,-3);k3=SpaceFrameElementStiffness(E,G,A,Iy,Iz,J,0,0,0,0,-4,0);
K=zeros(24,24);
K=SpaceFrameAssemble(K,k1,1,2);
K=SpaceFrameAssemble(K,k2,1,3);
K=SpaceFrameAssemble(K,k3,1,4);
k=K(1:6,1:6);
f=[-10 ; 0 ;20 ; 0 ; 0 ; 0];
u=k\f;
U=[u ; 0;0;0;0;0;0;0;0;0;0;0;0;0;0;0;0;0;0];
F=K*U;
u1=[U(1);U(2);U(3);U(4);U(5);U(6); U(7);U(8);U(9);U(10);U(11);U(12) ];
u2=[U(1);U(2);U(3);U(4);U(5);U(6);U(13);U(14);U(15);U(16);U(17);U(18)];
u3=[U(1);U(2);U(3);U(4);U(5);U(6);U(19); U(20);U(21);U(22);U(23);U(24)];
f1=SpaceFrameElementForces(E,G,A,Iy,Iz,J,0,0,0,3,0,0,u1);f2=SpaceFrameElementForces(E,G,A,Iy,Iz,J,0,0,0,0,0,-3,u2);
f3=SpaceFrameElementForces(E,G,A,Iy,Iz,J,0,0,0,0,-4,0,u3);

Ejercicio 2
NU=0.25
t=1
E=3e6k1=LinearTriangleElementStiffness(E,NU,t,0,-1,2,0,0,1,1)
U=[0;0.0025;0.0012;0;0;0.0025]
F=k1*U
s1=LinearTriangleElementStresses(E,NU,t,0,-1,2,0,0,1,1,U)
smax=LinearTriangleElementPStresses(s1)

RESPUESTAS

Ejercicio 3E=210e6
NU=0.3
t=0.025
k1=LinearTriangleElementStiffness(E,NU,t,0,0,0.5,0.25,0,0.25,1)
k2=LinearTriangleElementStiffness(E,NU,t,0,0,0.5,0,0.5,0.25,1)
K=zeros(8,8);K=LinearTriangleAssemble(K,k1,1,3,4);
K=LinearTriangleAssemble(K,k2,1,2,3)
k=K(3:6,3:6)
f=[9.375 ; 0 ; 9.375 ; 0]
u=k\f
U=[0 ; 0 ; u ; 0 ; 0]
F=K*U
u1=[U(1) ; U(2) ; U(5) ; U(6) ; U(7) ; U(8)]
u2=[U(1) ; U(2); U(3) ; U(4) ; U(5) ; U(6)]
sigma1=LinearTriangleElementStresses(E,NU,t,0,0,0.5,0.25,0,0.25,1,u1)
sigma2=LinearTriangleElementStresses(E,NU,t,0,0,0.5,0,0.5,0.25,1,u2)s1=LinearTriangleElementPStresses(sigma1)
s2=LinearTriangleElementPStresses(sigma2)

RESPUESTAS

Ejercicio 4

E=210e6
N1=0.3
t=0.0250
k1=LinearTriangleElementStiffness(E,N1,t,0,0.5,0.125,0.375,0.25,0.5,1)...