σ11
σ12
σ13
σ21
σ22
σ23
σ31
σ32
σ33
i=1 →dσ11dx1+dσ21dx2+dσ31dx3+F1=0
-F2= -1,010 + 1,810x32 - 0,210·2·x3=
-1,010 + 1,810·(-1,710)2 - 0,210·2·(-1,710) = 5,008MN/m3
→ F2 = - 5,0008MN/m3
i=2 →dσ12dx1+dσ22dx2+dσ32dx3+F2=0
i=3 →dσ13dx1+dσ23dx2+dσ33dx3+F3=0
ε11=du1dx1, ε12=ε21=12du2dx1+du1dx2, ε32=ε23=12du3dx2+du2dx3, ε22=du2dx2,
ε32=12du3dx2+du2dx3=121,310x1-0,510x1∙2x3=121,310∙0,110-0,510∙0,110∙2∙5,990=-0,2640·10-4
2,020 - σ2
0
3,030
-2,230 - σ2
=0
-6,060 - σ2
(2,020 - σ2)·(-2,230 - σ2)·(-6,060 - σ2) – 3,0302·(-2,230 - σ2)=0 → σ2=-2,230 ˅ σ2=3,030 ˅ σ2=-7,070
2,020 – (-7,070)
9,090
-2,230 - (-7,070)
=
4,840
-6,060 - (-7,070)
1,010
n1
n2
n3
9,09 n1+ 3,03 n3=0 → n1= -0,333n3
n12+ n22+ n32=1 → (-0,333n3)2...
tomekjasinski1989