Chapter 16: Problem 22
(a) List four reasons why glass fibers are most commonly used for reinforcement. (b) Why is the surface perfection of glass fibers so important? (c) What measures are taken to protect the surface of glass fibers?
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 16: Problem 22
(a) List four reasons why glass fibers are most commonly used for reinforcement. (b) Why is the surface perfection of glass fibers so important? (c) What measures are taken to protect the surface of glass fibers?
All the tools & learning materials you need for study success - in one app.
Get started for free
16.17 Compute the longitudinal tensile strength of an aligned glass fiber- epoxy matrix composite in which the average fiber diameter and length are \(0.010 \mathrm{~mm}\left(4 \times 10^{-4}\right.\) in.) and \(2.5\) \(\mathrm{mm}(0.10\) in.), respectively, and the volume fraction of fibers is \(0.40\). Assume that (1) the fiber-matrix bond strength is \(75 \mathrm{MPa}(10,900\) \(\mathrm{psi}\) ), (2) the fracture strength of the fibers is \(3500 \mathrm{MPa}(508,000 \mathrm{psi})\), and (3) the matrix stress at fiber failure is \(8.0 \mathrm{MPa}\) (1160 psi).
\(16.15\) Compute the longitudinal strength of an aligned carbon fiber-epoxy matrix composite having a \(0.25\) volume fraction of fibers, assuming the following: (1) an average fiber diameter of \(10 \times 10^{-3} \mathrm{~mm}\left(3.94 \times 10^{-4}\right.\) in. \()\), (2) an average fiber length of \(5 \mathrm{~mm}(0.20\) in.), (3) a fiber fracture strength of \(2.5 \mathrm{GPa}\) \(\left(3.625 \times 10^{5} \mathrm{psi}\right),(4)\) a fiber- matrix bond strength of \(80 \mathrm{MPa}(11,600 \mathrm{psi}),(5)\) a matrix stress at fiber failure of \(10.0 \mathrm{MPa}(1450\) psi), and (6) a matrix tensile strength of \(75 \mathrm{MPa}(11,000 \mathrm{psi})\)
\(16.16\) It is desired to produce an aligned carbon fiber-epoxy matrix composite having a longitudinal tensile strength of 750 MPa (109,000 psi). Calculate the volume fraction of fibers necessary if (1) the average fiber diameter and length are \(1.2 \times 10^{-2} \mathrm{~mm}\) (4.7 \(\times 10^{-4}\) in. \()\) and \(1 \mathrm{~mm}(0.04\) in. \()\), respectively; (2) the fiber fracture strength is \(5000 \mathrm{MPa}\) \((725,000 \mathrm{psi}) ;\) (3) the fiber-matrix bond strength is 25 MPa (3625 psi); and (4) the matrix stress at fiber failure is \(10 \mathrm{MPa}\) \((1450 \mathrm{psi})\)
16.12 In an aligned and continuous glass fiberreinforced nylon 6,6 composite, the fibers are to carry \(94 \%\) of a load applied in the longitudinal direction. (a) Using the data provided, determine the volume fraction of fibers that will be required. (b) What will be the tensile strength of this composite? Assume that the matrix stress at fiber failure is 30 MPa (4350 psi). \begin{tabular}{lcc} \hline & Modulus of Elasticity ofensile [GPa (psi)] & Strength [MPa(psi)] \\ \hline Glass fiber & \(72.5\left(10.5 \times 10^{6}\right)\) & \(3400(490,000)\) \\\ Nylon 6,6 & \(3.0\left(4.35 \times 10^{5}\right)\) & \(76(11,000)\) \\ \hline \end{tabular}
The mechanical properties of aluminum may be improved by incorporating fine particles of aluminum oxide \(\left(\mathrm{Al}_{2} \mathrm{O}_{3}\right)\). Given that the moduli of elasticity of these materials are, respectively, \(69 \mathrm{GPa}\left(10 \times 10^{6} \mathrm{psi}\right)\) and 393 GPa ( \(\left.57 \times 10^{6} \mathrm{psi}\right)\), plot modulus of elasticity versus the volume percent of \(\mathrm{Al}_{2} \mathrm{O}_{3}\) in \(\mathrm{Al}\) from 0 to 100 vol\%, using both upper- and lower-bound expressions.
What do you think about this solution?
We value your feedback to improve our textbook solutions.