A 45° off-axis rail shear test specimen of an orthotropic lamina is shown in Figure XXXXXXXXXXAttached to the specimen are three strain gages that measure the normal strains ε x , ε y , and ε 1 along...

A 45° off-axis rail shear test specimen of an orthotropic lamina is shown in Figure 10.38. Attached to the specimen are three strain gages that measure the normal strains ε_x, ε_y, and ε₁
along the x, y, and 1 directions, respectively.

The specimen thickness t = 0.1 in. and the length and width are shown in Figure 10.38. The applied shear load along the x direction is P = 500 lb, whereas the three measured strains are ε_x
= 0.00056, ε_y
= 0.00075, and ϵ₁
= 0.00078. Answer the following questions, giving both numerical values and units where appropriate. (a) Is it possible to determine the off-axis shear modulus G_xy
from this data? If not, why not? If so, calculate G_xy. (b) Is it possible to determine the Poisson’s ratio ν_xy
from this data? If not, why not? If so, calculate ν_xy. (c) Is it possible to determine the shear-coupling ratio η_xy,x
from this data? If not, why not? If so, calculate η_xy,x. (d) Is it possible to determine the material shear strength s_LT
from this data? If not, why not? If so, calculate s_LT. Hint: Equation 10.10 is based on the assumption that the x, y axes are the same as the principal material axes 1,2 so that ε_x
= ε₁
= ε_y
= ε₂
= 0, but in this case, the 1,2 axes are oriented at θ = 45° from the x, y axes and Equation 10.10 is not valid here.