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MT-1620 al.2002 Thus we assume 0000 So the equations of elasticity reduce to Equilibrium 01 0012 22 2=0(2) dy1 dy (3rd equation is an identity) 0=0 In general: do ga +f=0 Paul A Lagace @2001 UnitMIT - 16.20 Fall, 2002 Thus, we assume: σzz = 0 σyz = 0 σxz = 0 ∂ = 0 ∂z So the equations of elasticity reduce to: Equilibrium ∂σ11 + ∂σ21 + f1 = 0 (1) ∂y1 ∂y2 ∂σ12 + ∂σ22 + f2 = 0 (2) ∂y1 ∂y2 (3rd equation is an identity) 0 = 0 (f3 = 0) In general: ∂σβα + fα = 0 ∂yβ Paul A. Lagace © 2001 Unit 6 - p. 4
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