Naloga 14

Napetosti so podane v pascalih [Pa].

Podatki

In[74]:=

σij = {{1, 1, 1}, {1, 1, 1}, {1, 1, 1}} τ ;

Rešitev: σ_11, σ_22, σ_33 so lastne vrednosti, e_1, e_2, e_3 pa lastni vektorji.

In[75]:=

{{σ11, σ22, σ33}, {v1, v2, v3}} = Eigensystem[σij] ; e1 = v1/Norm[v1] ; e2 ... 2/Norm[v2] ; e3 = v3/Norm[v3] ; {σ11, σ22, σ33} // Print ; {e1, e2, e3} // Print ;

{0, 0, 3 τ}

{{-1/2^(1/2), 0, 1/2^(1/2)}, {-1/2^(1/2), 1/2^(1/2), 0}, {1/3^(1/2), 1/3^(1/2), 1/3^(1/2)}}

In[78]:=

Clear[σij, τ, σ11, σ22, σ33, e1, e2, e3, v1, v2, v3] ;

Created by Mathematica  (October 30, 2003)