0.1: A composite strip made of unidirectionally glass fibers reinforced polyamide has a mass of 2.25 kg and a rectangular cross section of 3.5 cm * 2.5 cm, and a length of 1.25 m. The glass fibers have a density of 2.6 g/cm' and a diameter of 15 um and packed in a square array in an epoxy matrix. The polyamide matrix has a density of 1.2 g/cm'. Assume there are no voids in the rod 1. Density of the composite 2. Volume and mass fractions of the glass fiber and the epoxy matrix. 3 Volume and mass of the glass fiber and tbe epoxy matrix

0.1: A composite strip made of unidirectionally glass fibers reinforced polyamide has a mass of 2.25 kg and a rectangular cross section of 3.5 cm * 2.5 cm, and a length of 1.25 m. The glass fibers have a density of 2.6 g/cm' and a diameter of 15 um and packed in a square array in an epoxy matrix. The polyamide matrix has a density of 1.2 g/cm'. Assume there are no voids in the rod 1. Density of the composite 2. Volume and mass fractions of the glass fiber and the epoxy matrix. 3 Volume and mass of the glass fiber and tbe epoxy matrix

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.13P

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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?
A composite sample of carbon reinforced epoxy has dimensions of in 20 in x 20 in x 0.135 in and mass of 3 lb. The carbon fibres have a modulus of elasticity of 80(106) lb/in2 and a density of 0.15 lb/in3. The epoxy matrix has modulus of elasticity of 0.90(106) lb/in2 and a density of 0.05 lb/in3. Assume there are no voids in the sample, calculate the volume fraction of: (i) The carbon fibres (ii) The epoxy matrix in the sample.
for a fiber reinforced composite material, assume Fibre's volume fraction is 0.3. what is the effective tensile strength of the composite if the strength of fiber is 150GPa and that of matrix is 16GPa
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 ofm300 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?
REACTION OF A RIGID PLATE II B) Determine the internal and external reaction forces of a composite structure. To check the solution you will need to specify reaction components Ax, Az, Ma, BxI, BzI (body I), BxIII, BzIII (body III), Cx, Cz (body III), Dx, Dz (body IV), Ex, Ez (body II), Fx, Fz.my coefficients are a =1.1 b=0.6 c=1.1
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?
Two steel plates, each 4 in. wide and 0.25 in. thick, reinforce a wood beam that is 3 in. wide and 8 in. deep. The steel plates are attached to the vertical sides of the wood in a position such that the composite shape is symmetric about the z-axis, as shown in the figure. Determine the maximum bending stress produced in both the wood and the steel if a bending moment of Mz = +50 kip-in is applied about the z-axis. Assume Ewood = 2000 ksi and Esteel = 30000 ksi.
A composite beam is made of steel (Est = 300 GPa)and wood (Ew = 15 GPa) materials as shown in Figure 3. The beam is subjected to a positive bending moment (about z-axis from bottom to top) of 60 kN.m. Determine the followings:a) The transformation factor, n. b) The width of steel part transformed to wood and draw the transformedsection. c) The distances h1 and h2. d) Moment of inertia, I of the transformed section. e) The largest tensile and compressive stresses in the wood material. f) The maximum and minimum tensile stresses in the steel material.
A composite beam is constructed using a steel plate (14 mm ✕ 125 mm) with two wood beams (75 mm ✕ 125 mm) on either side. The wood and steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment Mz = 6.80 kN · m. Calculate the maximum tensile and compressive stresses in the wood and steel if Ew = 11 GPa and Es = 200 GPa. (Enter your answers in MPa. Use the deformation sign convention. Use the general theory for composite beams described in the textbook.) maximum tensile stress in wood MPa maximum tensile stress in steel MPa maximum compressive stress in wood MPa maximum compressive stress in steel MPa
The composite bar shown is rigidly attached to the two supports. The left portion of the bar is copper, of uniform cross-sectional area 80 c?^2 and length 30 cm. The right portion is aluminum, of uniform cross-sectional area 20 c?2 and length 20 cm. At a temperature of 26℃ the entire assembly is stress free. The temperature of the structure drops and during this process the right support yields 0.025 mm in the direction of the contracting metal. Determine the minimum temperature to which the assembly may be subjected in order that the stress in the aluminum does not exceed 160 MPa. For copper E = 200 GPa, ? = 17x10^-6/℃, and for Aluminum E = 80 GPa, ? = 23x10^-6/℃.
A 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 composite
A continuous and aligned glass fibre-reinforced composite consisting of 40 vol% of glass fibres having a modulus of elasticity of 69 GPa and 60 vol% of a polyester resin that, when hardened, displays a modulus of 3.4 GPa. Compute the elastic modulus of the composite material in the longitudinal direction. Compute the elastic modulus of the composite material perpendicular to the direction of fibre alignment