MT-1620 Fall 2002 ( Key again: where are limits to">>???..we'll consider later) Since the body is basically "infinite"along z, the important loads are in the X-y plane(none in z) and do not change with z dy3 This implies there is no gradient in displacement along Z, so(excluding igid body movement u2=W=0 Equations of elasticity become Equilibrium: Primary 00 y1+my2+t=0() do 12 do 22+52=0(2) Paul A Lagace @2001 Unit 6-p. 11MIT - 16.20 Fall, 2002 (Key again: where are limits to “>>”??? … we’ll consider later) Since the body is basically “infinite” along z, the important loads are in the x - y plane (none in z) and do not change with z: ∂ ∂ = = 0 ∂y3 ∂z This implies there is no gradient in displacement along z, so (excluding rigid body movement): u3 = w = 0 Equations of elasticity become: Equilibrium: Primary ∂σ11 + ∂σ21 + f1 = 0 (1) ∂y1 ∂y2 ∂σ12 + ∂σ22 + f2 = 0 (2) ∂y1 ∂y2 Paul A. Lagace © 2001 Unit 6 - p. 11