EBK MATERIALS FOR CIVIL AND CONSTRUCTIO
4th Edition
ISBN: 8220102719569
Author: ZANIEWSKI
Publisher: PEARSON
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Chapter 11, Problem 11.23QP
To determine
The volume fraction of the fibers and matrix needed.
The modulus of elasticity of the composite.
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A circular FRP composite rod with continuous and aligned fibers has a 3 in. diameter. The rod is simply supported with a span of 4 ft and is subjected to three-point bending with a 270 lb center load.
a. If the maximum allowable center deflection cannot exceed 0.02 in., what is the minimum modulus of the composite in order to meet this requirement?
b. If the FRP has a modulus as obtained in Part a and the moduli of the matrix and the fibers are 0.5 × 10" psi and 20 × 10* psi, respectively. what is minimum percent of fibers that meets this requirement?
Calculate the expected elastic modulus for a carbon-fiber composite with a continuous
uniaxial reinforcement loaded longitudinally given the matrix has a modulus of 5 GPa, the
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Chapter 11 Solutions
EBK MATERIALS FOR CIVIL AND CONSTRUCTIO
Ch. 11 - Prob. 11.1QPCh. 11 - Prob. 11.2QPCh. 11 - Prob. 11.3QPCh. 11 - Prob. 11.4QPCh. 11 - Prob. 11.5QPCh. 11 - Prob. 11.6QPCh. 11 - Prob. 11.7QPCh. 11 - Prob. 11.8QPCh. 11 - Prob. 11.9QPCh. 11 - What are the functions of aggregate used in...
Ch. 11 - Prob. 11.11QPCh. 11 - Prob. 11.12QPCh. 11 - What are the benefits of adding dispersed steel...Ch. 11 - Getting measurements from Figure 11.20, determine...Ch. 11 - Three 6 in. 12 in. concrete cylinders with...Ch. 11 - Prob. 11.16QPCh. 11 - Prob. 11.17QPCh. 11 - Prob. 11.18QPCh. 11 - Prob. 11.19QPCh. 11 - Prob. 11.20QPCh. 11 - Prob. 11.21QPCh. 11 - Prob. 11.22QPCh. 11 - Prob. 11.23QPCh. 11 - Prob. 11.24QPCh. 11 - Prob. 11.25QPCh. 11 - Prob. 11.26QPCh. 11 - Prob. 11.27QPCh. 11 - Prob. 11.28QPCh. 11 - Prob. 11.29QPCh. 11 - Prob. 11.30QPCh. 11 - A circular FRP composite rod with continuous and...
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- In Example Problem 12.1, a uniaxial composite material is made into a circular rod Vbith a 1.27-cm diameter from 70 volume percent continuous carbon fibers and 30 volume percent epoxy. The rod is subject to an axial force of 100,000 N. The composite matcrial in Example Problem 12.1 is to be replaced with a less expensive composite made of 70 volume percent continuous E-glass fibers and 30 volume percent epoxy. The elastic moduli are 5 GPa for the epoxy resin and 72.4 GPa fos the E-glass. (a) Compare the elastic modulus, composite strain, fiber and matrix stresses, and density of this composite with the carbon epoxy composite in Example Problem 12.1. Usc the density of UHM carbon, and assume the density of the epoxy is 1.2g/cm3 . (b) Can both the E-glass fiber and matrix withstand the applied force?arrow_forwardAn aligned and continuous fiber reinforced composite consists of fibers with an elastic modulus of 42 * 106 psi and a matrix with an elastic modulus of 0.5 * 106 psi. If the fibers are required to carry 92% of the total load in the longitudinal direction (isostrain condition), determine the volume fraction of the fibers and matrix needed to accomplish this task. Also, determine the composite modulus of elasticity for this case.arrow_forwardA circular FRP composite rod with continuous and aligned fibers has a3 in. diameter. The rod is simply supported with a span of 4 ft and is subjected to three-point bending with a 270 lb center load.a. If the maximum allowable center deflection cannot exceed 0.02 in.,what is the minimum modulus of the composite in order to meet this requirement?b. If the FRP has a modulus as obtained in Part a and the moduli of the matrix and the fibers are 0.5 * 106 psi and 20 * 106 psi, respectively, what is minimum percent of fibers that meets this requirement?arrow_forward
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