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 11.21QP
To determine
The modulus of elasticity of the carbon-epoxy composite under isostress condition and the percentage of load carried by the carbon fibers.
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Calculate the modulus of elasticity of carbon-epoxy composite under (a) isostrain and(b) isostress conditions if the composite consists of 40% carbon fibers and 60% epoxyby volume. Also, calculate the percentage of load carried by the carbon fibers. Themodulus of elasticity of the carbon fibers and the epoxy are 350 GPa and 3.5 GPa,respectively. Comment on the results. [Ans: (a) 142.1 GPa, 98.5%; (b) 6.93 GPa, 100%]
A fiber-reinforced polymer composite under isostress condition consists of 35% fibers and 65% polymer by volume. The moduli of elasticity of the fibers and the polymer are 260 GPa and 3.4 GPa, respectively, and the Poisson’s ratios of the fibers and the polymer are 0.25 and 0.41, respectively. Calculate the following:a. modulus of elasticity of the composite.b. percentage of load carried by the fibersc. Poisson’s ratio of the composite
Compute the components of
the centroid
Of the composite area shown.
X =
ÿ
11
y
60 mm
60 mm
x
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_forwardPlease explain about modulus of elasticity of the composite versus fiber volume fraction.arrow_forwardCalculate 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% reinforcement.arrow_forward
- Q6) How does moisture impact tension and compression strength in composites?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_forwardA FRP composite includes 47% continuous and aligned Aramid fibers by volume. The moduli of elasticity of the Aramid fibers and the epoxy resin matrix are 19 * 106 psi and 0.6 * 106 psi, respectively.a. Compute the modulus of elasticity of the composite in the longitudinal and transverse directions.b. If the composite cross-sectional area is 0.5 in.2 and a stress of 12 ksi is applied in the longitudinal direction, compute the load carried by the fibers and the matrix.c. Determine the strain sustained by each of the phases when stress in part(b) is applied.arrow_forward
- 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.arrow_forwardWhat is the volume fraction of the reinforcement in a polymer matrix composite using epoxy and glass fiber if the volume fraction of glass fiber is 0.30?Ms. A wanted to make a polymer matrix composite using epoxy and glass fiber. The elastic moduli of epoxy and glass fiber are 3 and 70 GPa, respectively. If she wants to incorporate 0.30 volume fraction of glass fiber, determine the elastic modulus (GPa) of the composite in an iso-strain condition. What is the reinforcement in a cement?arrow_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
- Determine the y-bar centroid of the composite figure shown. Where x1%-68; x2=100 and y3D84 x1 x2 - yarrow_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_forwardGive me right solution with clear calculationsarrow_forward
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