Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 43AAP
To determine
The tensile modulus of elasticity of the unidirectional carbon fiber reinforced composite material.
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Problem 4
Calculate the tensile modulus of elasticity of a unidirectional carbon-fiber-reinforced-plastic composite
material that contains 64 percent by volume of carbon fibers and is stressed under isostrain conditions.
The carbon fibers have a tensile modulus of elasticity of 54.0 × 10° psi and the epoxy matrix a tensile
modulus of elasticity of 0.530 x 10° psi.
A composite sample of carbon reinforced epoxy has dimensions of 12 in x 12 in x 0.25 in
and mass of 1.8 lb. The carbon fibers have a modulus of elasticity of 50(106) lb/in² and a
density of 0.069 lb/in³. The epoxy matrix has modulus of elasticity of 0.61(106) lb/in² and
a density of 0.042 lb/in³. What is the volume fraction of (a) the carbon fibers and (b) the
epoxy matrix in the sample? Assume there are no voids in the sample. What is the predicted
value for the modulus of elasticity (c) in the longitudinal direction and (d) the perpendicular
to the carbon fibers?
A composite with a minimum elastic modulus of 50 GPa is to be
created by mixing uniaxial epoxy with metal fibre. Calculate the
minimum Elastic modulus of the metal fibre given the following
data for the epoxy matrix:
Elastic modulus of the epoxy matrix is 5 GPa
• Volume fraction of the epoxy matrix is 0.6
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Chapter 12 Solutions
Foundations of Materials Science and Engineering
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- A unidirectional fiber reinforced composite contains Kevlar 49 fibres and epoxy resin. the fibers are to carry 88% of a load applied in the longitudinal direction. determine the volume fraction of fibers that will be required ( two decimal places, e.g. 0.31).( elastic modulus of Kevlar 49 is 129GPA, and elastic modulus of epoxy 4.6 GPaarrow_forwardA discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the composite is 0.5, interfacial shear strength 5MPa and the critical fibre length 2.5mm. The fibre modulus is 250GPa and strain to failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%. Calculate the tensile strength of the composite in the fibre direction. Answer: 3564arrow_forwardCalculate the density of a composite made with 35% Kevlar-49 fibers in an epoxy resin (ρ = 1.1 kg/m3, E = 2.5 GPa). For Kevlar-49, Ef = 131 GPa; density = 1440 kg/m3arrow_forward
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