An element of a balanced orthotropic carbon/epoxy lamina is under the state of stress shown in Figure 2.20. If the properties of the woven carbon fabric/ epoxy material are \(E_{1}=70 \mathrm{GPa}, v_{12}=0.25\), and \(G_{12}=5 \mathrm{GPa}\), determine all the strains along the fiber directions.

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FIGURE 2.20 50 MPa 50 MPa 100 MPa 30 x