How is the specimen going to deform in the transverse

Question

Question 1: A specimen is made by joining along one edge two unidirectional laminae at 0° and 45° to the loading axis, as shown below. How is the specimen going to deform in the transverse direction (a, b, or c) for a material of the following properties? Prove your answer by numerical computation.

E₁= 145 GPa (21 Msi) E₂ = 10.4 GPa (1.5 Msi) G₁₂ = 7.6 GPa (1.1 Msi) v₁₂ = 0.28

Question 2: An off-axis unidirectional lamina is loaded as shown and the strain E in the x-direction is measured with a strain gage.

Determine the shear strain ys for the following values:

∈_x = 2 x 10^-3 m/m

E_x = 58.7 GPa (8.5 Msi)

G_xy = 9.7 GPa (1.4 Msi)

σ_x = 193 MPa (28 ksi)

Τ_s = 48.3 MPa (7 ksi)