Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Chapter 11, Problem 11.22QP
To determine
The volume fraction of the fibers and matrix needed.
The modulus of elasticity of the composite.
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An 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.
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
reinforcement has a modulus of 120 GPa and the composite has 63vol% matrix & 37vol%
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Chapter 11 Solutions
Materials for Civil and Construction Engineers (4th Edition)
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_forwardA 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?arrow_forwardQ: For a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the longitudinal and transverse directions are 19.7 GPa and 3.66 GPa, respectively. A) If the volume fraction of fibers is 0.25, determine the moduli of elasticity of fiber and matrix phases. B) If the cross-sectional area is 200 mm? and a stress of 40 MPa is applied in this longitudinal direction, compute the magnitude of the load carried by each of the fiber and matrix phases. C) Determine the strain that is sustained by each phase when the stress in part (b) is applied.arrow_forward
- An aligned and continuous fiber reinforced composite consists of fiberswith an elastic modulus of 290 GPa and a matrix with an elastic modulus of3.5 GPa. 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_forwardAn aligned and continuous fiber reinforced composite consists of fibers with an elastic modulus of 255 GPa and a matrix with an elastic modulus of 2.7 GPa. If the fibers are required to carry 98% 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 a75 mm diameter. The rod is simply supported with a span of 1.2 m and issubjected to three-point bending with a 1.2 kN center load.a. If the maximum allowable center deflection cannot exceed 0.5 mm,what is the minimum modulus of the composite in order to meet thisrequirement?b. If the FRP has a modulus as obtained in Part a and the moduli of thematrix and the fibers are 3.5 GPa and 138 GPa, respectively, what isminimum percent of fibers that meets this requirement?arrow_forward
- A 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_forwardBefore solve the problem please read the question carefully and give me right solution according to the questionarrow_forwardFor a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the longitudinal and transverse directions are 19.7 and 3.66 GPa (2.8x10 and 5.3x 105 psi), respectively. If the volume fraction of fibers is 0.42, determine the moduli of elasticity of fiber and matrix phases. Em- E₁= i GPa GPaarrow_forward
- Q6) How does moisture impact tension and compression strength in composites?arrow_forwardDetermine the (x, y, z) coordinates for the composite volume X 130 mm 190 mm 275 mm 220 mm 190 mm 185 mmarrow_forwardQ2: A composite component consists of a glass fiber and an epoxy matrix. The glass fiber weight fraction is triple of the epoxy weight fraction. Use the given properties of epoxy and glass to determine: 1. The composite axial modulus, transverse modulus, major Poisson's ratio, and in- plane shear modulus. 2. If the total load is 24 kN and the applied stress is 60 MPa in this axial direction, compute the cross-sectional area of the composite and the magnitude of the load carried by each of the fiber and matrix phases. Given: Glass p, 2.5 g/cm³. Ey-E 80 GPa. v 0.2, G 38 GPa epoxy Pm-1.2 g/cm', E-, E- 3.5 GPa, vy= 0.3, G= 1.35 GPaarrow_forward
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