Problem 15.10 (GO Tutorial) For a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the longitudinal and transverse directions are 19.7 and 3.66 GPa (2.8×10? and 5.3×10? psi), respectively. If the volume fraction of fibers is 0.29, determine the moduli of elasticity of fiber and matrix phases. E? = [ ] GPa E? = [ ] GPa
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The problem asks us to find the moduli of elasticity of both the fiber (Ef) and the matrix (Em) phases in a fiber-reinforced composite material. We are given the moduli of elasticity in the longitudinal (E1 = 19.7 GPa) and transverse (E2 = 3.66 GPa) directions, as Show more…
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For a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the longitudinal and transverse directions are $33.1$ and $3.66$ GPa ( $4.8 \times 10^{6}$ and $\left.5.3 \times 10^{5} \mathrm{psi}\right)$, respectively. If the volume fraction of fibers is $0.30$, determine the moduli of elasticity of fiber and matrix phases.
A continuous and aligned fibrous reinforced composite having a cross-sectional area of $970 \mathrm{~mm}^{2}$ (1.5 in. $\left.^{2}\right)$ is subjected to an external tensile load. If the stresses sustained by the fiber and matrix phases are 215 MPa (31,300 psi) and $5.38$ MPa (780 psi), respectively, the force sustained by the fiber phase is $76,800 \mathrm{~N}\left(17,265 \mathrm{lb}_{\mathrm{f}}\right)$, and the total longitudinal composite strain is $1.56 \times 10^{-3}$, determine the following: (a) The force sustained by the matrix phase (b) The modulus of elasticity of the composite material in the longitudinal direction (c) The moduli of elasticity for fiber and matrix phases
A continuous and aligned fibrous reinforced composite having a cross-sectional area of 970 mm^2 (1.5 in^2) is subjected to an external tensile load. If the stresses sustained by the fiber and matrix phases are 215 MPa (31,300 psi) and 5.38 MPa (780 psi), respectively, the force sustained by the fiber phase is 76,800 N (17,265 lbf), and the total longitudinal composite strain is 1.56 × 10^(-3), determine the following: (a) The force sustained by the matrix phase (b) The modulus of elasticity of the composite material in the longitudinal direction (c) The moduli of elasticity for fiber and matrix phases
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