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 11.19QP
To determine
The modulus of elasticity of the carbon-epoxy composite under isostrain 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%]
Calculate the modulus of elasticity of fiberglass under isostrain condition if the fiberglass consists of 70% E-glass fibers and 30% epoxy by volume. Also, calculate the percentage of load carried by the glass fibers. The moduli of elasticity of the glass fibers and the epoxy are 70.5 and 6.9 GPa, respectively. If a longitudinal stress of 60 MPa is applied on the composite with a cross-sectional area of 300 mm2, what is the load carried by each of the fiber and the matrix phases?What is the strain sustained by each of the fiber and the matrix phases?
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 fiber-reinforced polymer composite under isostrain condition consists of 35%fibers and 65% polymer by volume. The moduli of elasticity of the fibers and thepolymer are 260 GPa and 3.4 GPa, respectively, and the Poisson’s ratios of thefibers 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 compositearrow_forwardPlease explain about modulus of elasticity of the composite versus fiber volume fraction.arrow_forward
- A fiber-reinforced polymer composite under isostrain condition consists of 35% fibers and 65% polymer by volume. The moduli of elasticity of the filers and the polymer are 50 X 10 psi and 0.5 x 10® psi, respectively, and the Poison's ratios of the fibers and the polvmer are 0.25 and 0.41, respectively. Calculate the following: a. modulus of elasticitv of the composite. b. percentage of load carried by the fibers c. Poison's ratio of the compositearrow_forwardIV- It is necessary to design a continuous and aligned glass fiber-reinforced polyester having a tensile strength of at least 1400 MPa in the longitudinal direction. The maximum possible specific gravity is 1.65. Using the following data, determine whether such a composite is possible. Justify. Assume a value of 15 MPa for the stress on the matrix when the fibers fail. Material Glass fiber Polyester Specific gravity 2.5 1.35 Tensile strength (MPa) 3500 50arrow_forwardA 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 compositearrow_forward
- 5. Find the longitudinal and transverse elastic modulus of a unidirectional glass/epoxy lamina with a 70% fiber volume fraction. Use the properties of glass and epoxy give below. Also, find the ratio of the load taken by the fibers to that of the composite. Ef = 85 GPa. Em = 3.4 GPa.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_forwardCompute the components of the centroid Of the composite area shown. X = ÿ 11 y 60 mm 60 mm xarrow_forward
- A composite containing carbon fibres in epoxy resin is loaded in a direction perpendicular to the reinforcing fibres. If there are 0.55 vol% fibres, modulus of the carbon fibres is 380 GPa and modulus of epoxy is 3 GPa, determine the modulus of the composite. What it the modulus of the composite? Select one: a. 6.1 GPa b. 5.4 GPa c. 6.6 GPa d. 7.2 GPaarrow_forwardA continuous and aligned fiber-reinforced composite is to be produced consisting of 37 vol% aramid fibers and 63 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows: Modulus of Elasticity [GPa(psi)] Tensile Strength [MPa(psi)] Aramid fiber 131 (19x106) 3600 (520,000) Polycarbonate 2.4 (3.5×105) 65 (9425) Also, the stress on the polycarbonate matrix when the aramid fibers fail is 45 MPa (6500 psi). For this composite, compute: (a) the longitudinal tensile strength i MPaarrow_forwardQ6) How does moisture impact tension and compression strength in composites?arrow_forward
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