The problems for Section 2.9 involve the determination of principal strains and maximum shear strain from measurements by strain rosettes.
For a problem of small-displacement plane strain, the strain components in a machine part, relative to axes (x, y, z), are
ϵxx = A(L − x), ϵyy = B(L − x), ϵxy = 0 (a)
Determine the (x, y) displacement components (u, v), for the case where the displacement components (u, v) vanish at x = y = 0 and the slopes (∂u/∂y, ∂v/∂x) are equal at x = y = 0. That is,
u|x = y =0 = v|x= y = 0 = 0 (b)
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