Acontinuous and aligned fiber reinforced composite having a cross-sectional area of 1130 mm^2 (1.75 in.^2) is subjected to an external tensile load. if the stresses sustained by the fiber and matrix phases are 156 mpa (22,600 psi) and 2.75 mpa (400 psi), respectively; the force sustained by the fiber phase is 74,000 n (16,600 lbf); and the total longitudinal strain is 1.25 10^ -3, determine: (a)the force sustained by the matrix phase, (b)the modulus of elasticity of the compos- ite material in the longitudinal direction, and (c) the moduli of elasticity for fiber and matrix phases.

a)

b)

c)

Explanation:

Given:

Now, the area of fiber phase:

∴Area of matrix phase:

(a)

Now the force sustained by the matrix phase:

(b)

Total stress on the composite:

Now,Modulus of elasticity of the composite:

(c)

Since, strain will be same in this case throughout the material.

Now the modulus of elasticity of fiber phase:

Now the modulus of elasticity of matrix phase:

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