Using the carpet plots of Figure 7.58, select the percentages of \(0^{\circ}, \pm 45^{\circ}\), and \(90^{\circ}\) plies that are needed in a \(\left[0_{i} / \pm 45_{i} / 90_{k}\right]\) laminate if the longitudinal modulus, \(E_{x^{\prime}}\) is to be at least \(20 \mathrm{GPa}\), the in-plane shear modulus, \(G_{x y}\) is to be at least \(10 \mathrm{GPa}\), and the longitudinal CTE, \(\alpha_{x}\), is equal to zero.

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(a) 11 10- (b) 3.0 90 F70 F20.0 80 70 F60 2.5- 17.5 60 % @ 0 F50 -150 Ex (10 psi) 91 2. 50 F40 40 54 30 -30 3. 2 1- 0- 90 80 70 60 50 40 30 20 % @ 90 0 20 19 10 40 60 80 100 20 10 22 Ex (GPa) Gy (10 psi) +12.5 1.5 F10.0 1.01 7.5 20 0.5 10 -5.0 2.5 +0 +0 0 20 40 60 80 100 %@ 45 0.9- 0.8- 0.7- 80 (c) 1.0- 70 %@ 0 60 50 40 30 20 10/ %@ 45 P 3.2 2.8 16.0 5.0 2.4- 90 4.0 0.6- 10 90 0.5- 20 0.4- 30 0.3- 40 (105 in./in. "F) 2.0- 80 3.0 1.6 70 1.2 60 % @ 90 2.0 0.8- 40 30 20 10 0.4 2. 1.0 50 0.2- 60 0.0 -0.0 70 %@ 90 0.1+ -0.4 90 80 70 60 50 40 30 20 10 80 90 % @ 0 -1.0 0.0 20 40 60 80 100 -0.8 0 20 40 60 80 100 %@ 45 % @ 45 FIGURE 7.58 q (10-5 m/mC) Gy (GPa)