I just need part D.
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CHAPTER 16 - COMPOSITES Determine: a) The relationship between the fiber volume fraction and the specified geometrical parameters, and b) The maximum possible fiber volume fraction for this packing geometry. Prob. 2 - Homogeneous engineering materials are infrequent. Consider a composite which consists of a small spherical particle of one material that is embedded in a large matrix of another material. The particle has a radius of a. The composite is solidified at an elevated temperature Th, at which the composite is in a stress-free condition. The particle has a larger thermal expansion coefficient than the matrix, αp > αm. Upon cooling, the composite develops a residual stress field because of the thermal expansion mismatch. (a) At room temperature Tr, is the particle under tension or compression? (b) Because the particle is under [tension · compression] (circle one) the matrix is under [tension · compression] (circle one). heated from 20°F to 120°F. (a) What strain is expected in the x-direction? (b) What strain is expected in the y-direction?
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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
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