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Mechanics of Materials | 10th Edition | ISBN: 9780134319650 | Authors: Russell C. Hibbeler
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Solved: The specimen represents a filament-reinforced

Chapter 4, Problem 4-48

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QUESTION:

The specimen represents a filament-reinforced matrix system made from plastic (matrix) and glass (fiber). If there are n fibers, each having a cross-sectional area of \(A_{f}\) and modulus of \(E_{f}\), embedded in a matrix having a cross-sectional area of A and modulus of E\(m\), determine the stress in the matrix and in each fiber when the force P is applied on the specimen.

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QUESTION:

The specimen represents a filament-reinforced matrix system made from plastic (matrix) and glass (fiber). If there are n fibers, each having a cross-sectional area of \(A_{f}\) and modulus of \(E_{f}\), embedded in a matrix having a cross-sectional area of A and modulus of E\(m\), determine the stress in the matrix and in each fiber when the force P is applied on the specimen.

ANSWER:

Step 1 of 5

The free body diagram can be shown as,

                                         

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