The in-plane shear modulus, \(G_{12}\), of a carbon/epoxy lamina is to be measured by using the rail shear test shown in Figure 10.36. The test is conducted on a 10 in. \(\times 10 \mathrm{in} . \times 0.1 \mathrm{in}\). \((254 \mathrm{~mm} \times 254 \mathrm{~mm} \times 2.54 \mathrm{~mm})\) panel specimen, which deforms under the applied load as shown. Determine the value of \(G_{12}\) from these data.

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c = 10 in. 2 A = 0.00357 in. P = 500 lb Deformed shape of specimen Undeformed shape of specimen b= 10 in.- A = 0.00357 in. Rail fixture FIGURE 10.36 Shear deformation of a carbon/epoxy specimen during a rail shear test.