Cnsider a plane defined in parametric form as fx y z xa

Question

Consider a plane defined in parametric form as

F(x, y, z) = (x/a) + (y/b) + (z/c) - 1 = 0

where a, b, c are the intercepts on the x, y, z axes, and take a = 3, b = 4, c = 5. The stress tensor at that point, in contracted notation, is σ₁ = 100, σ₂ = 10, σ₃ = -20, σ₄ = 1, σ₅ = 2, σ₆ = -5.

Compute the stress vector at x = y = z = 60/47 using Cauchy's law.