An element of an orthotropic lamina is subjected to an off-axis shear stress \(\tau_{x y}\) at an angle \(\theta\) as shown in Figure 2.21.

(a) For an angle \(\theta=45^{\circ}\), determine the value of the applied shear stress \(\tau_{x y}\) that would generate the following stresses along the 1,2 axes: \(\sigma_{1}=1000 \mathrm{MPa}, \sigma_{2}=-1000 \mathrm{MPa}\), and \(\tau_{12}=0\).

(b) Assuming that the lamina described in part (a) is made from T300/934 carbon/epoxy and that the stresses are also given in part (a), determine the strains along the 1,2 axes.

Transcribed Image Text:

FIGURE 2.21 6 x Txy (MPa) Txy (MPa)