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came1pt8 - Fx = 0 And ∂σ y ∂τ xy ∂τ yz Fy = 0 ∂...

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Question 1.8: For what body forces will the following stress field describe a state of equilibrium? σ x = -2.x 2 +3.y 2 -5.z σ y = -2.y 2 σ z = 3.x + y + 3.z-5 τ xy = z + 4.x.y -7 τ yz = 0 τ zx = -3.x + y +1 Solution. We apply differential equations of equilbrium, ∂σ x + ∂τ xy + ∂τ xz + Fx = 0 x y z (-2.x 2 +3.y 2 -5.z ) + (z +4.x.y -7 ) + ( -3.x +y+1 ) + Fx = 0 x y z -4.x + 0 + 4.x +Fx = 0
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