For the plane stress case, starting with the equilibrium equations (7.6.3), develop Navier equations (7.6.4) 3,4 .

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For the plane stress case, starting with the equilibrium equations (7.6.3), develop Navier equations (7.6.4)3,4. Also verify the compatibility relation (7.6.6)2.

Equation 7.6 .3

ar 1 tre. (ar - ae) + - + ar  tre, 1  20 + - r r 20 r + Fr = 0 + + Fo= 0

Equation 7.6 .4

( Vur 2  200 2  1ua +7 00 ur (Qur u(+uo +; 10 2 du 22 0022 - ur 2  ug 22 20 r2 + (2 + ) r ar + ( +) + Plane

Equation 7.6 .6

1 OF r ( (or +00)=  (0, +a)= (1 + v) F 1 Fe + r 30 r OF F 1 + + r 21- ...plane strain Fe 10F) ... plane

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