Discussion
For that same lamina, the transverse modulus by the inverse rule of mixtures is nearest to
Answer: C
Correct answer: 8.6 GPa
Across the fibres the two constituents carry the same stress and their strains add, so the compliances add: \[ \frac{1}{E_2} = \frac{V_f}{E_f} + \frac{V_m}{E_m} = \frac{0.6}{230} + \frac{0.4}{3.5} \] \[ = 0.00261 + 0.11429 = 0.1169, \quad E_2 = 8.6\ \text{GPa.} \] The soft matrix dominates the sum, so the transverse modulus is about a sixteenth of the longitudinal - the anisotropy the whole design method exists to exploit.
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