Find the three stiffness matrices [A], [B], and [D] for a [0/90] glass/epoxy laminate. Use the properties of glass/epoxy unidirectional lamina from Table 2.2 and assume the lamina thickness to be 0.1 mm. Also, find the mass of the laminate if the top surface area of the laminate is 6 cm x 7 cm. Use densities of glass and epoxy from Table 3.3 and Table 3.4, respectively. Glass Aramid TABLE 3.3 Typical Properties of Fibers (USCS System of Units) Property Units Axial modulus Msi Transverse modulus Msi Axial Poisson's ratio Transverse Poisson's ratio Axial shear modulus Msi Axial coefficient of thermal expansion uin./in./F Transverse coefficient of thermal expansion uin./in./F Axial tensile strength ksi Axial compressive strength Transverse tensile strength ksi Transverse compressive strength ksi Shear strength ksi Specific gravity Graphite 33.35 3.19 0.30 0.35 3.19 -0.7222 3.889 299.7 289.8 11.16 6.09 5.22 1.8 12.33 12.33 0.20 0.20 5.136 2.778 2.778 224.8 224.8 224.8 224.8 5.08 2.5 17.98 1.16 0.36 0.37 0.435 -2.778 2.278 200.0 40.02 1.015 1.015 3.045 1.4 *ksi Aluminum TABLE 3.4 Typical Properties of Matrices (USCS System of Units) Property Units Epoxy Axial modulus Msi 0.493 Transverse modulus Msi 0.493 Axial Poisson's ratio 0.30 Transverse Poisson's ratio 0.30 Axial shear modulus Msi 0.1897 Coefficient of thermal expansion uin./in./F 35 Coefficient of moisture expansion in./in./lb/lb 0.33 Axial tensile strength ksi 10.44 Axial compressive strength ksi 14.79 Transverse tensile strength ksi 10.44 Transverse compressive strength ksi 14.79 Shear strength ksi 4.93 Specific gravity * 1.2 10.30 10.30 0.30 0.30 3.915 12.78 0.00 40.02 40.02 40.02 40.02 20.01 2.7 Polyamide 0.5075 0.5075 0.35 0.35 0.1885 50 0.33 7.83 15.66 7.83 15.66 7.83 1.2 Find the three stiffness matrices [A], [B], and [D] for a [0/90] glass/epoxy laminate. Use the properties of glass/epoxy unidirectional lamina from Table 2.2 and assume the lamina thickness to be 0.1 mm. Also, find the mass of the laminate if the top surface area of the laminate is 6 cm x 7 cm. Use densities of glass and epoxy from Table 3.3 and Table 3.4, respectively. Glass Aramid TABLE 3.3 Typical Properties of Fibers (USCS System of Units) Property Units Axial modulus Msi Transverse modulus Msi Axial Poisson's ratio Transverse Poisson's ratio Axial shear modulus Msi Axial coefficient of thermal expansion uin./in./F Transverse coefficient of thermal expansion uin./in./F Axial tensile strength ksi Axial compressive strength Transverse tensile strength ksi Transverse compressive strength ksi Shear strength ksi Specific gravity Graphite 33.35 3.19 0.30 0.35 3.19 -0.7222 3.889 299.7 289.8 11.16 6.09 5.22 1.8 12.33 12.33 0.20 0.20 5.136 2.778 2.778 224.8 224.8 224.8 224.8 5.08 2.5 17.98 1.16 0.36 0.37 0.435 -2.778 2.278 200.0 40.02 1.015 1.015 3.045 1.4 *ksi Aluminum TABLE 3.4 Typical Properties of Matrices (USCS System of Units) Property Units Epoxy Axial modulus Msi 0.493 Transverse modulus Msi 0.493 Axial Poisson's ratio 0.30 Transverse Poisson's ratio 0.30 Axial shear modulus Msi 0.1897 Coefficient of thermal expansion uin./in./F 35 Coefficient of moisture expansion in./in./lb/lb 0.33 Axial tensile strength ksi 10.44 Axial compressive strength ksi 14.79 Transverse tensile strength ksi 10.44 Transverse compressive strength ksi 14.79 Shear strength ksi 4.93 Specific gravity * 1.2 10.30 10.30 0.30 0.30 3.915 12.78 0.00 40.02 40.02 40.02 40.02 20.01 2.7 Polyamide 0.5075 0.5075 0.35 0.35 0.1885 50 0.33 7.83 15.66 7.83 15.66 7.83 1.2