Concept explainers
(a)
The volume fractions for the fiber and matrix in the laminate.
(a)
Answer to Problem 97SEP
The volume fractions for the fiber and matrix in the laminate are
Explanation of Solution
Write the equation for the rule of mixture for the composite material.
Here, modulus of elasticity of composite is
Write the equation to calculate the volume fraction of matrix.
Conclusion:
It is given that the component is suggested to be made from unidirectional carbon fiber composite. Therefore, the fiber layer will be carbon and the matrix layer will be epoxy.
Take the modulus of elasticity of carbon fiber to be
Substitute
Substitute
Thus, the volume fractions for the fiber and matrix in the laminate are
(b)
The volume fractions for the fiber and matrix in the laminate.
(b)
Answer to Problem 97SEP
The volume fractions for the fiber and matrix in the laminate are
Explanation of Solution
Write the equation to calculate the percentage in weight reduction.
Here, density of carbon composite is
Conclusion:
Refer Appendix I, "Important properties of the selected engineering materials" to obtain the densities of aluminum composite and carbon composite.
Substitute
Therefore, the carbon composite will be 43% lighter when compared to aluminum composite.
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Chapter 12 Solutions
Foundations of Materials Science and Engineering
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